- [1] C. E. Siewert and P. F. Zweifel, "An Exact Solution of the Equations of Radiative Transfer,"
*Transactions of the American Nuclear Society*,**8**(1965) 504. pdf version [2] C. E. Siewert and P. F. Zweifel, "An Exact Solution of Equations of Radiative Transfer for Local Thermodynamic Equilibrium in the Non-Gray Case. Picket Fence Approximation,"*Annals of Physics*,**36**(1966) 61-85. pdf version

[3] C. E. Siewert and P. F. Zweifel, "Generalized Picket-Fence Model for Radiative Transfer,"*Bulletin of the American Physical Society*,**11**(1966) 114. pdf version

[4] C. E. Siewert and P. F. Zweifel, "Radiative Transfer. II,"*Journal of Mathematical Physics*,**7**(1966) 2092-2102. pdf version

[5] Raymond L. Murray, Charles E. Siewert and Walter J. Harrington, "Anisotropic Scattering Coeffcients in the Constant Cross-Section Transport Equation,"*Nuclear Science and Engineering*,**28**(1967) 124-126. pdf version

[6] C. E. Siewert and P. S. Shieh, "Two-Group Neutron Transport Theory,"*Bulletin of the American Physical Society*,**12**(1967) 123. pdf version

[7] C. E. Siewert and P. S. Shieh, "Two-Group Transport Theory,"*Journal of Nuclear Energy*,**21**(1967) 383-392. pdf version

[8] C. E. Siewert and N. J. McCormick, "On an Exact Solution in the Theory of Line Formation in Stellar Atmospheres,"*The Astrophysical Journal*,**149**(1967) 649-653. pdf version

[9] C. E. Siewert and S. K. Fraley, "Radiative Transfer in an Electron Scattering Atmosphere,"*Bulletin of the American Physical Society*,**12**(1967) 83-84. pdf version

[10] C. E. Siewert and S. K. Fraley, "Radiative Transfer in a Free-Electron Atmosphere,"*Annals of Physics*,**43**(1967) 338-359. pdf version

[11] O. J. Smith and C. E. Siewert, "The Half-Space Green's Function for an Atmosphere with a Polarized Radiation Field,"*Journal of Mathematical Physics*,**8**(1967) 2467-2474. pdf version

[12] G. R. Bond and C. E. Siewert, "On a Rayleigh Scattering Problem in Stellar Atmospheres,"*The Astrophysical Journal*,**150**(1967) 357-359. pdf version

[13] C. E. Siewert, "On the Normal-Mode Expansion Technique in Spherical Geometry,"*Transactions of the American Nuclear Society*,**10**(1967) 553-554. pdf version

[14] R. C. Erdmann and C. E. Siewert, "Green's Functions for the One-Speed Transport Equation in Spherical Geometry,"*Journal of Mathematical Physics*,**9**(1968) 81-89. pdf version

[15] C. E. Siewert, "A New Approach to Chandrasekhar's Scattering Matrix for a Semi-Infnite Rayleigh-Scattering Atmosphere,"*The Astrophysical Journal*,**152**(1968) 835-840. pdf version

[16] O. J. Smith and C. E. Siewert, "The Critical Problem for a Two-Region Spherical Reactor,"*Transactions of the American Nuclear Society*,**11**(1968) 554-555. pdf version

[17] O. J. Smith and C. E. Siewert, "On the Critical Problem for a Two-Region Sphere,"*Journal of Nuclear Energy*,**22**(1968) 579-586. pdf version

[18] G. R. Bond and C. E. Siewert, "A Lattice Problem in One-Speed Neutron Transport Theory,"*Transactions of the American Nuclear Society*,**11**(1968) 555-556. pdf version

[19] P. S. Shieh and C. E. Siewert, "On the Albedo Problem for a Finite Plane-Parallel Rayleigh-Scattering Atmosphere,"*The Astrophysical Journal*,**155**(1969) 265-271. pdf version

[20] G. R. Bond and C. E. Siewert, "The Effect of Linearly Anisotropic Neutron Scattering on Disadvantage Factor Calculations,"*Nuclear Science and Engineering*,**35**(1969) 277-282. pdf version

[21] S. A. Mourad and C. E. Siewert, "On Solutions of an Equation of Transfer for a Planetary Atmosphere,"*The Astrophysical Journal*,**155**(1969) 555-564. pdf version

[22] G. R. Bond and C. E. Siewert, "On the Milne-Problem Extrapolation Distance,"*Nuclear Science and Engineering*,**36**(1969) 447. pdf version

[23] M. N. Özisik and C. E. Siewert, "On the Normal-Mode Expansion Technique for Radiative Transfer in a Scattering, Absorbing and Emitting Slab with Specularly Reflecting Boundaries,"*International Journal of Heat and Mass Transfer*,**12**(1969) 611-620. pdf version

[24] C. E. Siewert, "Remarks on Half-Space Applications Regarding an Equation of Transfer for a Planetary Atmosphere,"*The Astrophysical Journal*,**156**(1969) 1181-1184. pdf version

[25] C. E. Siewert and M. N. Özisik, "An Exact Solution in the Theory of Line Formation,"*Monthly Notices of the Royal Astronomical Society*,**146**(1969) 351-360. pdf version

[26] T. W. Schnatz and C. E. Siewert, "Two-Group Neutron Transport Theory in Spherical Geometry,"*Transactions of the American Nuclear Society*,**12**(1969) 638-640. pdf version

[27] T. W. Schnatz and C. E. Siewert, "Two-Group Neutron Transport Theory in Spherical Geometry,"*Journal of Mathematical Physics*,**11**(1970) 766-771. pdf version

[28] G. R. Bond and C. E. Siewert, "Moments of Chandrasekhar's Functions H_{l}and H_{r},"*The Astrophysical Journal*,**159**(1970) 731-732. pdf version

[29] J. T. Kriese and C. E. Siewert, "Radiative Transfer in a Conservative Finite Slab with an Internal Source,"*International Journal of Heat and Mass Transfer*,**13**(1970) 1349-1357. pdf version

[30] G. R. Bond and C. E. Siewert, "An Exact Solution of the Milne Problem in the Picket-Fence Model,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**10**(1970) 865-879. pdf version

[31] M. N. Özisik and C. E. Siewert, "Several Particular Solutions of the One-Speed Transport Equation,"*Nuclear Science and Engineering*,**40**(1970) 491-494. pdf version

[32] T. W. Schnatz and C. E. Siewert, "Radiative Transfer in a Rayleigh-Scattering Atmosphere with True Absorption,"*Journal of Mathematical Physics*,**11**(1970) 2733-2739. pdf version

[33] N. J. McCormick and C. E. Siewert, "Spectral-Line Formation by Noncoherent Scattering,"*The Astrophysical Journal*,**162**(1970) 633-647. pdf version

[34] E. E. Burniston and C. E. Siewert, "Linear Integral Equations for a Certain Class of H-Functions Applicable to the Theory of Neutron Transport and Radiative Transfer,"*Journal of Mathematical Physics*,**11**(1970) 3091-3095. pdf version

[35] E. E. Burniston and C. E. Siewert, "Half-Range Expansion Theorems in Studies of Polarized Light,"*Journal of Mathematical Physics*,**11**(1970) 3416-3420. pdf version

[36] T. W. Schnatz and C. E. Siewert, "On the Transfer of Polarized Light in Rayleigh-Scattering Half Spaces with True Absorption,"*Monthly Notices of the Royal Astronomical Society*,**152**(1971) 491-508. pdf version

[37] G. R. Bond and C. E. Siewert, "On the Nonconservative Equation of Transfer for a Combination of Rayleigh and Isotropic Scattering,"*The Astrophysical Journal*,**164**(1971) 97-110. pdf version

[38] R. J. Reith. Jr., C. E. Siewert and M. N. Özisik, "Non-Grey Radiative Heat Transfer in Conservative Plane-Parallel Media with Reflecting Boundaries,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**11**(1971) 1441-1462. pdf version

[39] J. T. Kriese and C. E. Siewert, "An Expedient Method for Calculating H-Matrices,"*The Astrophysical Journal*,**164**(1971) 389-391. pdf version

[40] H. L. Beach, M. N. Özisik and C. E. Siewert, "Radiative Transfer in Linearly Anisotropic-Scattering, Conservative and Non-Conservative Slabs with Reflective Boundaries,"*International Journal of Heat and Mass Transfer*,**14**(1971) 1551-1565. pdf version

[41] E. E. Burniston, C. E. Siewert, P. Silvennoinen and P. F. Zweifel, "Matrix Riemann-Hilbert Problems Related to Neutron Transport Theory,"*Nuclear Science and Engineering*,**45**(1971) 331-332. pdf version

[42] C. E. Siewert, "On the Half-Range Orthogonality Theorem Appropriate to the Scattering of Polarized Light,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**12**(1972) 683-694. pdf version

[43] R. J. Reith. Jr. and C. E. Siewert, "Two-Group Neutron Transport Theory with Anisotropic Scattering,"*Nuclear Science and Engineering*,**47**(1972) 156-162. pdf version

[44] C. E. Siewert and E. E. Burniston, "On Existence and Uniqueness Theorems Concerning the H-Matrix of Radiative Transfer,"*The Astrophysical Journal*,**174**(1972) 629-641. pdf version

[45] C. E. Siewert and E. E. Burniston, "An Explicit Closed-Form Result for the Discrete Eigenvalue in Studies of Polarized Light,"*The Astrophysical Journal*,**173**(1972) 405-406. pdf version

[46] C. E. Siewert and Y. Ishiguro, "Two-Group Neutron-Transport Theory: Half-Range Orthogonality, Normalization Integrals, Applications and Computations,"*Journal of Nuclear Energy*,**26**(1972) 251-269. pdf version

[47] C. E. Siewert, E. E. Burniston and J. T. Kriese, "Two-Group Neutron-Transport Theory: Existence and Uniqueness of the H-Matrix,"*Journal of Nuclear Energy*,**26**(1972) 469-482. pdf version

[48] J. R. Thomas, Jr., T. S. Chang and C. E. Siewert, "Heat Transfer Between Parallel Plates with Arbitrary Surface Accommodation,"*Bulletin of the American Physical Society*,**17**(1972) 1108. pdf version

[49] J. T. Kriese, T. S. Chang and C. E. Siewert, "Elementary Solutions of Coupled Kinetic Equations and the Temperature-Slip Problem,"*Bulletin of the American Physical Society*,**17**(1972) 1108. pdf version

[50] C. E. Siewert and E. E. Burniston, "An Exact Analytical Solution of Kepler's Equation,"*Celestial Mechanics*,**6**(1972) 294-304. pdf version

[51] E. E. Burniston, T. W. Mullikin and C. E. Siewert, "Steady-State Solutions in the Two-Group Theory of Neutron Diffusion,"*Journal of Mathematical Physics*,**13**(1972) 1461-1465. pdf version

[52] E. E. Burniston and C. E. Siewert, "The Use of Riemann Problems in Solving a Class of Transcendental Equations,"*Proceedings of the Cambridge Philosophical Society*,**73**(1973) 111-118. pdf version

[53] E. E. Burniston and C. E. Siewert, "Exact Analytical Solutions of the Transcendental Equation a sin(z)=z,"*SIAM Journal on Applied Mathematics*,**24**(1973) 460-466. pdf version

[54] J. T. Kriese, C. E. Siewert and Y. Yener, "Two-Group Critical Problems for Slabs and Spheres in Neutron-Transport Theory,"*Nuclear Science and Engineering*,**50**(1973) 3-9. pdf version

[55] E. E. Burniston and C. E. Siewert, "Exact Analytical Solutions Basic to a Class of Two-Body Orbits,"*Celestial Mechanics*,**7**(1973) 225-235. pdf version

[56] C. E. Siewert and C. J. Essig, "An Exact Solution of a Molecular Field Equation in the Theory of Ferromagnetism,"*Zeitschrift für Angewandte Mathematik und Physik*,**24**(1973) 281-286. pdf version

[57] C. E. Siewert, "An Exact Analytical Solution of an Elementary Critical Condition,"*Nuclear Science and Engineering*,**51**(1973) 78. pdf version

[58] C. E. Siewert, "On Extrapolated Endpoints in the Two-Group Theory of Neutron Diffusion,"*Journal of Nuclear Energy*,**27**(1973) 553-558. pdf version

[59] C. E. Siewert and E. E. Burniston, "On a Critical Condition,"*Nuclear Science and Engineering*,**52**(1973) 150. pdf version

[60] C. E. Siewert, E. E. Burniston and J. R. Thomas, Jr., "Discrete Spectrum Basic to Kinetic Theory,"*The Physics of Fluids*,**16**(1973) 1532-1533. pdf version

[61] C. E. Siewert and J. R. Thomas, Jr., "Half-Space Problems in the Kinetic Theory of Gases,"*The Physics of Fluids*,**16**(1973) 1557-1559. pdf version

[62] C. E. Siewert and E. E. Burniston, "Exact Analytical Solutions of ze^{z}=a,"*Journal of Mathematical Analysis and Applications*,**43**(1973) 626-632. pdf version

[63] C. E. Siewert and A. R. Burkart, "On Double Zeros of x-tanh(ax+b),"*Zeitschrift für Angewandte Mathematik und Physik*,**24**(1973) 435-438. pdf version

[64] J. R. Thomas, Jr., T. S. Chang and C. E. Siewert, "Kinetic Theory of Evaporation and Condensation Between Parallel Plates,"*Bulletin of the American Physical Society*,**18**(1973) 1475. pdf version

[65] C. E. Siewert and J. T. Kriese "An Exact Solution of a Transcendental Equation Basic to the Theory of Intermediate Resonance Absorption of Neutrons,"*Journal of Nuclear Energy*,**27**(1973) 831-837. pdf version

[66] J. R. Thomas, Jr., T. S. Chang and C. E. Siewert, "Heat Transfer Between Parallel Plates with Arbitrary Surface Accommodation,"*The Physics of Fluids*,**16**(1973) 2116-2120. pdf version

[67] J. T. Kriese, T. S. Chang and C. E. Siewert, "Elementary Solutions of Coupled Model Equations in the Kinetic Theory of Gases,"*International Journal of Engineering Science*,**12**(1974) 441-470. pdf version

[68] C. E. Siewert and E. E. Burniston, "Solutions of the Equation ze^{z}=a(z+b),"*Journal of Mathematical Analysis and Applications*,**46**(1974) 329-337. pdf version

[69] Y. Yener, M. N. Özisik and C. E. Siewert, "Non-Gray Radiative Transfer,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**14**(1974) 259-271. pdf version

[70] C. E. Siewert and A. R. Burkart, "An Asymptotic Solution in the Theory of Neutron Moderation,"*Nuclear Science and Engineering*,**54**(1974) 455-456. pdf version

[71] C. E. Siewert and W. O. Doggett, "An Exact Analytical Solution for the Position-Time Relationship for an Inverse-Distance-Squared Force,"*International Journal of Engineering Science*,**12**(1974) 861-863. pdf version

[72] E. E. Burniston and C. E. Siewert, "Further Results Concerning Exact Analytical Solutions Basic to Two-Body Orbits,"*Celestial Mechanics*,**10**(1974) 5-15. pdf version

[73] J. R. Thomas, Jr., T. S. Chang and C. E. Siewert, "Reverse Temperature Gradient in the Kinetic Theory of Evaporation,"*Physical Review Letters*,**33**(1974) 680-682. pdf version

[74] C. E. Siewert, "On a Problem of Uniqueness Regarding H-Function Calculations,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**15**(1975) 385-387. pdf version

[75] C. E. Siewert, "On Particular Solutions of the Equation of Transfer,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**15**(1975) 851-853. pdf version

[76] C. E. Siewert and A. R. Burkart, "On the Critical Reactor Problem for a Reflected Slab,"*Nuclear Science and Engineering*,**58**(1975) 253-255. pdf version

[77] Shao-po Wu and C. E. Siewert "One-Speed Transport Theory for Spherical Media with Internal Sources and Incident Radiation,"*Zeitschrift für Angewandte Mathematik und Physik*,**26**(1975) 637-640. pdf version

[78] Y. Yener, M. N. Özisik and C. E. Siewert, "Non-Gray Radiative Transfer in Plane-Parallel Media with Reflecting Boundaries,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**16**(1976) 165-175. pdf version

[79] J. R. Thomas, Jr., T. S. Chang and C. E. Siewert, "Temperature Inversion in the Kinetic Theory of Evaporation,"*Recent Advances in Engineering Science*,**6**(1975) 215-220. pdf version

[80] C. E. Siewert and E. E. Burniston, "An Exact Analytical Solution of x coth(x)=a x^{2}+1,"*Journal of Computational and Applied Mathematics*,**2**(1976) 19-21. pdf version

[81] A. R. Burkart, Y. Ishiguro and C. E. Siewert, "Neutron Transport in Two Dissimilar Media with Anisotropic Scattering,"*Nuclear Science and Engineering*,**61**(1976) 72-77. pdf version

[82] K. Neshat, C. E. Siewert and Y. Ishiguro, "An Improved P-L Solution to the Reflected Critical-Reactor Problem in Slab Geometry,"*Nuclear Science and Engineering*,**62**(1977) 330-332. pdf version

[83] C. E. Siewert and E. E. Burniston, "Half-Space Analysis Basic to the Time-Dependent BGK Model in the Kinetic Theory of Gases,"*Journal of Mathematical Physics*,**18**(1977) 376-380. pdf version

[84] C. E. Siewert, "Half-Space Analysis Basic to the Linearized Boltzmann Equation,"*Zeitschrift für Angewandte Mathematik und Physik*,**28**(1977) 531-535. pdf version

[85] C. E. Siewert, M. N. Özisik and Y. Yener, "On the Inverse Problem for Multigroup Neutron Transport Theory,"*Nuclear Science and Engineering*,**63**(1977) 95-96. pdf version

[86] C. E. Siewert and M. M. R. Williams, "The Effect of Anisotropic Scattering on the Critical Slab Problem in Neutron Transport Theory Using a Synthetic Kernel,"*Journal of Physics D: Applied Physics*,**10**(1977) 2031-2040. pdf version

[87] C. E. Siewert, "On an Exceptional Case Concerning Plasma Oscillations,"*Journal of Mathematical Physics*,**18**(1977) 2509-2510. pdf version

[88] C. E. Siewert, K. Neshat and J. S. Phelps, III, "Flux-Depression Factors for Scattering and Absorbing Media,"*Nuclear Science and Engineering*,**64**(1977) 884-886. pdf version

[89] C. E. Siewert, "Explicit Results for the Quantum-Mechanical Energy States Basic to a Finite Square-Well Potential,"*Journal of Mathematical Physics*,**19**(1978) 434-435. pdf version

[90] C. E. Siewert and J. T. Kriese, "Half-Range Orthogonality Relations Basic to the Solution of Time-Dependent Boundary Value Problems in the Kinetic Theory of Gases,"*Zeitschrift für Angewandte Mathematik und Physik*,**29**(1978) 199-205. pdf version

[91] C. E. Siewert and C. Devaux, "The Effect of Forward and Backward Scattering on the Law of Darkening for the Milne Problem and the Spherical Albedo,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**20**(1978) 29-33. pdf version

[92] E. E. Burniston and C. E. Siewert, "On the Solution of Certain Algebraic Equations,"*Journal of Computational and Applied Mathematics*,**4**(1978) 37-39. pdf version

[93] S. K. Loyalka, C. E. Siewert and J. R. Thomas, Jr., "Temperature-Jump Problem with Arbitrary Accommodation,"*The Physics of Fluids*,**21**(1978) 854-855. pdf version

[94] C. E. Siewert, "On a Possible Experiment to Evaluate the Validity of the One-Speed or Constant Cross Section Model of the Neutron-Transport Equation,"*Journal of Mathematical Physics*,**19**(1978) 1587-1588. pdf version

[95] C. E. Siewert, "The Inverse Problem for a Finite Slab,"*Nuclear Science and Engineering*,**67**(1978) 259-260. pdf version

[96] P. Benoist, V. C. Boffi, P. Grandjean, A. Kavenoky, V. G. Molinari, C. E. Siewert and G. Spiga, "On Several Good Methods for Computing the Distortion Factor Relevant to a Foil Placed in an Exponentially Varying Flux,"*Nuclear Science and Engineering*,**68**(1978) 217-219. pdf version

[97] C. E. Siewert and E. E. Burniston, "On Incorporating Linear Constraints into H-Matrix Calculations,"*Zeitschrift für Angewandte Mathematik und Physik*,**29**(1978) 846-850. pdf version

[98] C. E. Siewert, "The F_{N}Method for Solving Radiative-Transfer Problems in Plane Geometry,"*Astrophysics and Space Science*,**58**(1978) 131-137. pdf version

[99] C. E. Siewert, "A New Approach to the Inverse Problem,"*Journal of Mathematical Physics*,**19**(1978) 2619-2621. pdf version

[100] C. E. Siewert and J. S. Phelps, III, "On Solutions of a Transcendental Equation Basic to the Theory of Vibrating Plates,"*SIAM Journal on Mathematical Analysis*,**10**(1979) 105-111. pdf version

[101] C. E. Siewert, "On Using the F_{N}Method for Polarization Studies in Finite Plane-Parallel Atmospheres,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**21**(1979) 35-39. pdf version

[102] C. E. Siewert and P. Benoist, "The F_{N}Method in Neutron-Transport Theory, Part I: Theory and Applications,"*Nuclear Science and Engineering*,**69**(1979) 156-160. pdf version

[103] P. Grandjean and C. E. Siewert, "The F_{N}Method in Neutron-Transport Theory, Part II: Applications and Numerical Results,"*Nuclear Science and Engineering*,**69**(1979) 161-168. pdf version

[104] C. E. Siewert, "Determination of the Single-Scattering Albedo from Polarization Measurements of a Rayleigh Atmosphere,"*Astrophysics and Space Science*,**60**(1979) 237-239. pdf version

[105] C. E. Siewert and P. Grandjean, "Three Basic Neutron-Transport Problems in Spherical Geometry,"*Nuclear Science and Engineering*,**70**(1979) 96-98. pdf version

[106] C. E. Siewert, "Sound-Wave Propagation,"*Rendiconti del Seminario Matematico e Fisico di Milano*, XLVII (1977) 257-265. pdf version

[107] C. Devaux, M. Herman, J. Lenoble and C. E. Siewert, "Remote Sounding of Aerosols from Multiple Scattering Measurements,"*(COSPAR) Remote Sounding of the Atmosphere from Space*, (1979) 183-188. pdf version

[108] C. E. Siewert and J. S. Phelps, III, "On the Solution of a tan(x-k pi)+tanh(x)=0,"*Journal of Computational and Applied Mathematics*,**5**(1979) 99-101. pdf version

[109] C. Devaux, C. E. Siewert and Y. Yener, "The Effect of Forward and Backward Scattering on the Spherical Albedo for a Finite Plane-Parallel Atmosphere,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**21**(1979) 505-509. pdf version

[110] C. E. Siewert, "On Establishing a Two-Term Scattering Law in the Theory of Radiative Transfer,"*Zeitschrift für Angewandte Mathematik und Physik*,**30**(1979) 522-525. pdf version

[111] C. Devaux, P. Grandjean, Y. Ishiguro and C. E. Siewert, "On Multi-Region Problems in Radiative Transfer,"*Astrophysics and Space Science*,**62**(1979) 225-233. pdf version

[112] C. E. Siewert and J. R. Maiorino, "A Point Source in a Finite Sphere,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**22**(1979) 435-439. pdf version

[113] C. E. Siewert, "On the Inverse Problem for a Three-Term Phase Function,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**22**(1979) 441-446. pdf version

[114] C. E. Siewert and E. E. Burniston, "The H Matrix for Time-Dependent Problems in Rarefied Gas Dynamics,"*Zeitschrift für Angewandte Mathematik und Physik*,**30**(1979) 1005-1010. pdf version

[115] J. R. Thomas, Jr., and C. E. Siewert, "Sound-Wave Propagation in a Rarefied Gas,"*Transport Theory and Statistical Physics*,**8**(1979) 219-240. pdf version

[116] C. E. Siewert, R. D. M. Garcia and P. Grandjean, "A Concise and Accurate Solution for Poiseuille Flow in a Plane Channel,"*Journal of Mathematical Physics*,**21**(1980) 2760-2763. pdf version

[117] C. E. Siewert, "On Computing Eigenvalues in Radiative Transfer,"*Journal of Mathematical Physics*,**21**(1980) 2468-2470. pdf version

[118] C. E. Siewert, J. R. Maiorino and M. N. Özisik. "The Use of the F_{N}Method for Radiative Transfer Problems with Reflective Boundary Conditions,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**23**(1980) 565-573. pdf version

[119] C. E. Siewert and C. T. Kelley, "An Analytical Solution to a Matrix Riemann-Hilbert Problem,"*Zeitschrift für Angewandte Mathematik und Physik*,**31**(1980) 344-351. pdf version

[120] J. R. Maiorino and C. E. Siewert, "The F_{N}Method for Polarization Studies - II Numerical Results,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**24**(1980) 159-165. pdf version

[121] T. W. Mullikin and C. E. Siewert, "Radiative Transfer in Inhomogeneous Atmospheres,"*Annals of Nuclear Energy*,**7**(1980) 205-211. pdf version

[122] R. D. M. Garcia and C. E. Siewert, "A Multiregion Calculation in the Theory of Neutron Diffusion,"*Nuclear Science and Engineering*,**76**(1980) 53-56. pdf version

[123] C. E. Siewert and J. R. Maiorino, "The Complete Solution for the Scattering of Polarized Light in a Rayleigh and Isotropically Scattering Atmosphere,"*Astrophysics and Space Science*,**72**(1980) 189-201. pdf version

[124] J. R. Maiorino and C. E. Siewert, "On Multi-Media Calculations in the Theory of Neutron Diffusion,"*Annals of Nuclear Energy*,**7**(1980) 535-539. pdf version

[125] C. Devaux and C. E. Siewert, "The F_{N}Method for Radiative Transfer Problems without Azimuthal Symmetry,"*Zeitschrift für Angewandte Mathematik und Physik*,**31**(1980) 592-604. pdf version

[126] C. E. Siewert and J. R. Maiorino, "The Inverse Problem for a Finite Rayleigh-Scattering Atmosphere,"*Zeitschrift für Angewandte Mathematik und Physik*,**31**(1980) 767-770. pdf version

[127] R. D. M. Garcia and C. E. Siewert, "Radiative Transfer in Inhomogeneous Atmospheres-Numerical Results,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**25**(1981) 277-283. pdf version

[128] R. D. M. Garcia and C. E. Siewert, "Numerical Results Concerning the Effect of Anisotropic Scattering on the Critical-Slab Problem,"*Journal of Physics D: Applied Physics*,**14**(1981) L65. pdf version

[129] C. E. Siewert, "On the Equation of Transfer Relevant to the Scattering of Polarized Light,"*The Astrophysical Journal*,**245**(1981) 1080-1086. pdf version

[130] C. E. Siewert and P. Benoist, "Multigroup Transport Theory. I. Basic Analysis,"*Nuclear Science and Engineering*,**78**(1981) 311-314. pdf version

[131] R. D. M. Garcia and C. E. Siewert, "Multigroup Transport Theory. II. Numerical Results,"*Nuclear Science and Engineering*,**78**(1981) 315-323. pdf version

[132] C. E. Siewert and F. O. Oruma, "Particular Solutions of the Equation of Transfer,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**26**(1981) 223-227. pdf version

[133] C. E. Siewert, "An Exact Expression for the Wien Displacement Constant,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**26**(1981) 467. pdf version

[134] C. E. Siewert and J. R. Thomas, Jr., "Strong Evaporation into a Half Space,"*Zeitschrift für Angewandte Mathematik und Physik*,**32**(1981) 421-433. pdf version

[135] C. E. Siewert, C. T. Kelley and R. D. M. Garcia, "An Analytical Expression for the H Matrix Relevant to Rayleigh Scattering,"*Journal of Mathematical Analysis and Applications*,**84**(1981) 509-518. pdf version

[136] S. K. Loyalka, C. E. Siewert and J. R. Thomas, Jr., "An Approximate Solution Concerning Strong Evaporation into a Half Space,"*Zeitschrift für Angewandte Mathematik und Physik*,**32**(1981) 745-747. pdf version

[137] R. D. M. Garcia and C. E. Siewert, "Radiative Transfer in Finite Inhomogeneous Plane-Parallel Atmospheres,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**27**(1982) 141-148. pdf version

[138] C. Devaux, C. E. Siewert and Y. L. Yuan, "The Complete Solution for Radiative Transfer Problems with Reflecting Boundaries and Internal Sources,"*The Astrophysical Journal*,**253**(1982) 773-784. pdf version

[139] R. D. M. Garcia and C. E. Siewert, "On Angular Flux Computations in Neutron-Transport Theory,"*Nuclear Science and Engineering*,**81**(1982) 474-476. pdf version

[140] C. E. Siewert and J. R. Thomas, Jr., "Strong Evaporation into a Half Space. II. The Three Dimensional BGK Model,"*Zeitschrift für Angewandte Mathematik und Physik*,**33**(1982) 202-218. pdf version

[141] C. Cercignani and C. E. Siewert, "On Partial Indices for a Matrix Riemann-Hilbert Problem,"*Zeitschrift für Angewandte Mathematik und Physik*,**33**(1982) 297-299. pdf version

[142] C. E. Siewert, "On the Phase Matrix Basic to the Scattering of Polarized Light,"*Astronomy and Astrophysics*,**109**(1982) 195-200. pdf version

[143] M. N. Özisik and C. E. Siewert, "A Note on Radiative Transfer,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**27**(1982) 667-668. pdf version

[144] C. E. Siewert and W. L. Dunn, "On Inverse Problems for Plane.Parallel Media with Nonuniform Surface Illumination,"*Journal of Mathematical Physics*,**23**(1982) 1376-1378. pdf version

[145] R. D. M. Garcia and C. E. Siewert, "Multigroup Transport Theory with Anisotropic Scattering,"*Journal of Computational Physics*,**46**(1982) 237-270. pdf version

[146] R. D. M. Garcia, G. C. Pomraning and C. E. Siewert, "On the Transport of Neutral Hydrogen Atoms in a Hydrogen Plasma,"*Plasma Physics*,**24**(1982) 903-922. pdf version

[147] C. E. Siewert and F. J. V. Pinheiro, "On the Scattering of Polarized Light,"*Zeitschrift für Angewandte Mathematik und Physik*,**33**(1982) 807-818. pdf version

[148] W. L. Dunn, R. D. M. Garcia and C. E. Siewert, "Concise and Accurate Solutions for Chandrasekhar's X and Y Functions,"*The Astrophysical Journal*,**260**(1982) 849-854. pdf version

[149] C. E. Siewert and J. R. Thomas, Jr., "Analytical Solutions to Two Matrix Riemann-Hilbert Problems,"*Zeitschrift für Angewandte Mathematik und Physik*,**33**(1982) 626-639. pdf version

[150] G. C. Pomraning and C. E. Siewert, "On the Integral Form of the Equation of Transfer for a Homogeneous Sphere,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**28**(1982) 503-506. pdf version

[151] R. D. M. Garcia and C. E. Siewert, "On the Dispersion Function in Particle Transport Theory,"*Zeitschrift für Angewandte Mathematik und Physik*,**33**(1982) 801-806. pdf version

[152] R. D. M. Garcia and C. E. Siewert, "Multislab Multigroup Transport Theory with L th Order Anisotropic Scattering,"*Journal of Computational Physics*,**50**(1983) 181-192. pdf version

[153] J. R. Thomas, Jr., J. D. Southers and C. E. Siewert, "The Critical Problem for an Infinite Cylinder,"*Nuclear Science and Engineering*,**84**(1983) 79-82. pdf version

[154] C. E. Siewert and J. R. Thomas, Jr., "Particle Transport Theory in a Finite Sphere Containing a Spherical-Shell Source,"*Nuclear Science and Engineering*,**84**(1983) 285-290. pdf version

[155] J. R. Thomas, Jr., and C. E. Siewert, "The F_{N}Method for Neutron Transport in Nonplanar Geometries,"*Transactions of the American Nuclear Society*,**45**(1983) 321-322. pdf version

[156] C. V. M. van der Mee and C. E. Siewert, "On Unbounded Eigenvalues in Particle-Transport Theory,"*Zeitschrift für Angewandte Mathematik und Physik*,**34**(1983) 556-561. pdf version

[157] C. E. Siewert and W. L. Dunn, "Radiation Transport in Plane-Parallel Media with Non-Uniform Surface Illumination,"*Zeitschrift für Angewandte Mathematik und Physik*,**34**(1983) 627-641. pdf version

[158] C. E. Siewert, "Solutions to an Inverse Problem in Radiative Transfer with Polarization - I,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**30**(1983) 523-526. pdf version

[159] M. Benassi, R. M. Cotta and C. E. Siewert, "The P_{N}Method for Radiative Transfer Problems with Reflective Boundary Conditions,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**30**(1983) 547-553. pdf version

[160] P. Vestrucci and C. E. Siewert, "A Numerical Evaluation of an Analytical Representation of the Components in a Fourier Decomposition of the Phase Matrix for the Scattering of Polarized Light,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**31**(1984) 177-183. pdf version

[161] M. Benassi, R. D. M. Garcia, A. H. Karp and C. E. Siewert, "A High-Order Spherical Harmonics Solution to the Standard Problem in Radiative Transfer,"*The Astrophysical Journal*,**280**(1984) 853-864. pdf version

[162] C. E. Siewert, "On Radiative-Transfer Problems with Reflective Boundary Conditions and Internal Emission,"*Zeitschrift für Angewandte Mathematik und Physik*,**35**(1984) 144-155. pdf version

[163] C. E. Siewert and J. R. Thomas, Jr., "Neutron Transport Calculations in Cylindrical Geometry,"*Nuclear Science and Engineering*,**87**(1984) 107-112. pdf version

[164] M. Benassi, R. D. M. Garcia and C. E. Siewert, "On Eigenvalue Calculations for Radiative Transfer Models that Include Polarization Effects,"*Zeitschrift für Angewandte Mathematik und Physik*,**35**(1984) 308-320. pdf version

[165] M. Benassi, R. D. M. Garcia and C. E. Siewert, "A Generalized Spherical Harmonics Solution Basic to the Scattering of Polarized Light,"*Zeitschrift für Angewandte Mathematik und Physik*,**36**(1985) 70-88. pdf version

[166] W. L. Dunn and C. E. Siewert, "The Searchlight Problem in Radiation Transport. Some Analytical and Computational Results,"*Zeitschrift für Angewandte Mathematik und Physik*,**36**(1985) 581-595. pdf version

[167] C. E. Siewert, "On the Singular Components of the Solution to the Searchlight Problem in Radiative Transfer,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**33**(1985) 551-554. pdf version

[168] C. E. Siewert and J. R. Thomas, Jr., "Radiative Transfer Calculations in Spheres and Cylinders,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**34**(1985) 59-64. pdf version

[169] R. D. M. Garcia and C. E. Siewert, "Benchmark Results in Radiative Transfer,"*Transport Theory and Statistical Physics*,**14**(1985) 437-483. pdf version

[170] R. D. M. Garcia and C. E. Siewert, "A Generalized Spherical Harmonics Solution for Radiative Transfer Models that Include Polarization Effects,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**36**(1986) 401-423. pdf version Corrigendum pdf version

[171] C. E. Siewert and J. R. Thomas, Jr., "On Two-Group Critical Problems in Neutron-Transport Theory,"*Nuclear Science and Engineering*,**94**(1986) 264-270. pdf version

[172] C. E. Siewert and J. R. Thomas, Jr., "A Method for Computing the Discrete Spectrum Basic to Multi-Group Transport Theory,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**37**(1987) 111-115. pdf version

[173] R. D. M. Garcia and C. E. Siewert, "The Discrete Spectrum for Radiative Transfer with Polarization,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**38**(1987) 295-301. pdf version

[174] R. C. Y. Chin, G. W. Hedstrom and C. E. Siewert, "On the Use of the F_{N}Method with Splines for Radiative Transfer Problems,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**39**(1988) 205-217. pdf version

[175] R. D. M. Garcia and C. E. Siewert, "The F_{N}Method for Radiative Transfer Models that Include Polarization Effects,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**41**(1989) 117-145. pdf version

[176] C. E. Siewert and W. L. Dunn, "The Searchlight Problem in Radiative Transfer,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**41**(1989) 467-481. pdf version

[177] R. D. M. Garcia and C. E. Siewert, "On Discrete Spectrum Calculations in Radiative Transfer,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**42**(1989) 385-394. pdf version

[178] R. D. M. Garcia and C. E. Siewert, "The Discrete Spectrum in Azimuthally Dependent Transport Theory,"*Anais do VII Encontro Nacional de Física de Reatores e Termohidráulica*,**1**, Recife (1989) 85-96. pdf version

[179] R. D. M. Garcia and C. E. Siewert, "On Computing the Chandrasekhar Polynomials in High Order and High Degree,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**43**(1990) 201-205. pdf version

[180] C. E. Siewert and J. R. Thomas, Jr., "A Particular Solution for the P_{N}Method in Radiative Transfer,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**43**(1990) 433-436. pdf version

[181] C. E. Siewert and J. R. Thomas, Jr., "A Computational Method for Solving a Class of Coupled Conductive-Radiative Heat Transfer Problems,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**45**(1991) 273-281. pdf version

[182] C. E. Siewert and J. R. Thomas, Jr., "On Coupled Conductive-Radiative Heat-Transfer Problems in a Sphere,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**46**(1991) 63-72. pdf version

[183] C. E. Siewert and J. R. Thomas, Jr., "A Particular Solution for the P_{N}Method in Spherical Geometry,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**46**(1991) 459-462. pdf version

[184] N. J. McCormick and C. E. Siewert, "Particular Solutions for the Radiative Transfer Equation,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**46**(1991) 519-522. pdf version

[185] R. D. M. Garcia and C. E. Siewert, "On Computing a Class of Integrals Basic to the F_{N}Method in Radiative Transfer,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**48**(1992) 221-226. pdf version

[186] C. E. Siewert and J. R. Thomas, Jr., "On Coupled Conductive-Radiative Heat Transfer Problems in a Cylinder,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**48**(1992) 227-236. pdf version

[187] R. D. M. Garcia and C. E. Siewert, "Improvements in the F_{N}Method for Radiative Transfer Calculations in Clouds,"*Proceedings of the 11th International Conference on Clouds and Precipitation*,**2**, Montreal (1992) 813-816. pdf version

[188] C. E. Siewert, "A Spherical-Harmonics Method for Multi-Group or Non-Gray Radiation Transport,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**49**(1993) 95-106. pdf version

[189] C. E. Siewert and N. J. McCormick, "A Particular Solution for Polarization Calculations in Radiative Transfer,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**50**(1993) 531-540. pdf version

[190] C. E. Siewert, "On Intensity Calculations in Radiative Transfer,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**50**(1993) 555-560. pdf version

[191] C. E. Siewert, "An Inverse Source Problem in Radiative Transfer,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**50**(1993) 603-609. pdf version

[192] C. E. Siewert, "A Radiative-Transfer Inverse-Source Problem for a Sphere,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**52**(1994) 157-160. pdf version

[193] R. D. M. Garcia, C. E. Siewert and J. R. Thomas, Jr., "F_{N}Method for Solving Transport Problems,"*Transactions of the American Nuclear Society*,**71**(1994) 212-213. pdf version

[194] R. D. M. Garcia, C. E. Siewert and J. R. Thomas, Jr., "The Classical Spherical-Harmonics Method in Transport Theory,"*Transactions of the American Nuclear Society*,**71**(1994) 220-222. pdf version

[195] C. E. Siewert, "An Improved Iterative Method for Solving a Class of Coupled Conductive-Radiative Heat-Transfer Problems,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**54**(1995) 599-605. pdf version Corrigendum pdf version

[196] R. D. M. Garcia and C. E. Siewert, "A Stable Shifted-Legendre Projection Scheme for Generating P_{N}Boundary Conditions,"*Annals of Nuclear Energy*,**23**(1996) 321-332. pdf version

[197] R. D. M. Garcia and C. E. Siewert, "A Note on the P_{N}Method with Mark Boundary Conditions,"*Nuclear Science and Engineering*,**124**(1996) 358-360. pdf version

[198] L. B. Barichello, R. D. M. Garcia and C. E. Siewert, "The Fourier Decomposition for a Radiative-Transfer Problem with an Asymmetrically Reflecting Ground,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**56**(1996) 363-371. pdf version

[199] L. B. Barichello, R. D. M. Garcia and C. E. Siewert, "On Inverse Boundary-Condition Problems in Radiative Transfer,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**57**(1997) 405-410. pdf version

[200] C. E. Siewert and N. J. McCormick, "Some Identities for Chandrasekhar Polynomials,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**57**(1997) 399-404. pdf version

[201] L. B. Barichello, R. D. M. Garcia and C. E. Siewert, "A Spherical-Harmonics Solution for Radiative-Transfer Problems with Reflecting Boundaries and Internal Sources,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**60**(1998) 247-260. pdf version

[202] R. D. M. Garcia and C. E. Siewert, "The F_{N}Method in Atmospheric Radiative Transfer,"*International Journal of Engineering Science*,**36**(1998) 1623-1649. pdf version

[203] L. B. Barichello, R. D. M. Garcia and C. E. Siewert, "Radiative Transfer With Asymmetric Ground Reflection,"*Proceedings of the II Italian-Latinamerican Conference on Applied and Industrial Mathematics-ITLA 97*, Roma (1997) 13. pdf version

[204] L. B. Barichello and C. E. Siewert, "The F_{N}Method for Spectral-Line Formation by Completely Noncoherent Scattering,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**60**(1998) 261-276. pdf version

[205] R. D. M. Garcia and C. E. Siewert, "The F_{N}Method for Multigroup Transport Theory with Upscattering,"*Nuclear Science and Engineering*,**130**(1998) 194-212. pdf version

[206] C. E. Siewert, "A Computation of the X and Y Functions for a NonGrey Model with Complete Frequency Redistribution,"*II Panamerican Workshop of Computational and Applied Mathematics*, Gramado - RS, Brazil (1997) 55. pdf version

[207] L. B. Barichello and C. E. Siewert, "A Computation of the X and Y Functions for a Non-Grey Model with Complete Frequency Redistribution,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**60**(1998) 649-656. pdf version

[208] L. B. Barichello and C. E. Siewert, "On the Equivalence Between the Discrete-Ordinates and the Spherical-Harmonics Methods in Radiative Transfer,"*Nuclear Science and Engineering*,**130**(1998) 79-84. pdf version

[209] L. B. Barichello and C. E. Siewert, "A Discrete-Ordinates Solution for a Non-Grey Model with Complete Frequency Redistribution,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**62**(1999) 665-675. pdf version

[210] L. B. Barichello, R. D. M. Garcia and C. E. Siewert, "Particular Solutions for the Discrete-Ordinates Method,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**64**(2000) 219-226. pdf version

[211] L. B. Barichello and C. E. Siewert, "A Discrete-Ordinates Solution for a Polarization Model with Complete Frequency Redistribution,"*The Astrophysical Journal*,**513**(1999) 370-382. pdf version

[212] C. E. Siewert, "Some Comments Concerning The Discrete Eigenvalue,"*Nuclear Science and Engineering*,**131**(1999) 439. pdf version

[213] L. B. Barichello and C. E. Siewert, "A Discrete-Ordinates Solution for Poiseuille Flow in a Plane Channel,"*Zeitschrift für Angewandte Mathematik und Physik*,**50**(1999) 972-981. pdf version

[214] C. E. Siewert and S. J. Wright, "Efficient Eigenvalue Calculations in Radiative Transfer,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**62**(1999) 685-688. pdf version

[215] C. E. Siewert, "A Discrete-Ordinates Solution for Heat Transfer in a Plane Channel,"*Journal of Computational Physics*,**152**(1999) 251-263. pdf version

[216] C. E. Siewert, "A Concise and Accurate Solution for a Polarization Model in Radiative Transfer,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**62**(1999) 677-684. pdf version

[217] C. E. Siewert, "A Concise and Accurate Solution to Chandrasekhar's Basic Problem in Radiative Transfer,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**64**(2000) 109-130. pdf version

[218] C. E. Siewert, "A Discrete-Ordinates Solution for Radiative-Transfer Models that Include Polarization Effects."*Journal of Quantitative Spectroscopy and Radiative Transfer*,**64**(2000) 227-254. pdf version

[219] C. E. Siewert, "A Discrete-Ordinates Solution for Multigroup Transport Theory with Upscattering."*Journal of Quantitative Spectroscopy and Radiative Transfer*,**64**(2000) 255-273. pdf version

[220] L. B. Barichello and C. E. Siewert, "The Searchlight Problem for Radiative Transfer in a Finite Slab,"*Journal of Computational Physics*,**157**(2000) 707-726. pdf version

[221] L. B. Barichello, M. Camargo, P. Rodrigues and C. E. Siewert, "Unified Solutions to Classical Flow Problems Based on the BGK Model,"*Zeitschrift für Angewandte Mathematik und Physik*,**52**(2001) 517-534. pdf version

[222] C. E. Siewert, "Poiseuille and Thermal-Creep Flow in a Cylindrical Tube,"*Journal of Computational Physics*,**160**(2000) 470-480. pdf version

[223] R. D. M. Garcia and C. E. Siewert, "The Transport of Neutral Hydrogen Atoms in a Hydrogen Plasma,"*Nuclear Science and Engineering*,**136**(2000) 140-149. pdf version

[224] C. E. Siewert, "Couette Flow for a Binary Gas Mixture,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**70**(2001) 321-332. pdf version

[225] L. B. Barichello, M. Camargo, P. Rodrigues and C. E. Siewert, "An Integral Equation Basic to the BGK Model for Flow in a Cylindrical Tube,"*Zeitschrift für Angewandte Mathematik und Physik*,**53**(2002) 769-781. pdf version

[226] L. B. Barichello and C. E. Siewert, "The Temperature-Jump Problem in Rarefied-Gas Dynamics,"*European Journal of Applied Mathematics*,**11**(2000) 353-364. pdf version

[227] L. B. Barichello and C. E. Siewert, "The Searchlight Problem for Radiative Transfer,"*Proceedings of the III-rd Italian-Latinamerican Conference on Applied and Industrial Mathematics-ITLA 99*, Petropolis (1999) 48. pdf version

[228] C. E. Siewert and D. Valougeorgis, "The Temperature-Jump Problem for a Mixture of Two Gases,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**70**(2001) 307-319. pdf version

[229] C. E. Siewert, "Kramers' Problem for a Variable Collision Frequency Model,"*European Journal of Applied Mathematics*,**12**(2001) 179-191. pdf version

[230] C. E. Siewert, "The Critical Problem with High-Order Anisotropic Scattering,"*Annals of Nuclear Energy*,**28**(2001) 825-829. pdf version

[231] L. B. Barichello, P. Rodrigues and C. E. Siewert, "An Analytical Discrete-Ordinates Solution for Dual-Mode Heat Transfer in a Cylinder,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**73**(2002) 583-602. pdf version

[232] L. B. Barichello, A. C. R. Bartz, M. Camargo and C. E. Siewert, "The Temperature-Jump Problem for a Variable Collision Frequency Model,"*Physics of Fluids*,**14**(2002) 382-391. pdf version

[233] C. E. Siewert and D. Valougeorgis, "An Analytical Discrete-Ordinates Solution of the S-Model Kinetic Equations for Flow in a Cylindrical Tube,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**72**(2002) 531-550. pdf version

[234] C. E. Siewert, "Generalized Boundary Conditions for the S-Model Kinetic Equations Basic to Flow in a Plane Channel,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**72**(2002) 75-88. pdf version

[235] C. E. Siewert, "Inverse Solutions to Radiative-Transfer Problems with Partially Transparent Boundaries and Diffuse Reflection,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**72**(2002) 299-313. pdf version

[236] L. B. Barichello and C. E. Siewert, "A New Version of the Discrete-Ordinates Method,"*Proceedings: Computational Heat and Mass Transfer-2001*, Rio de Janeiro,**I**(2002) 340-347. pdf version

[237] C. E. Siewert, "Inverse Solutions to Radiative-Transfer Problems Based on the Binomial or the Henyey-Greenstein Scattering Law,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**72**(2002) 827-835. pdf version

[238] L. B. Barichello and C. E. Siewert, "Some Comments on Modeling the Linearized Boltzmann Equation,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**77**(2003) 43-59. pdf version

[239] C. E. Siewert, "On Computing the Chapman-Enskog Functions for Viscosity and Heat Transfer and the Burnett Functions,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**74**(2002) 789-796. pdf version

[240] C. E. Siewert, "Two Half-Space Problems Based on a Synthetic-Kernel Model of the Linearized Boltzmann Equation,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**75**(2002) 21-38. pdf version

[241] C. E. Siewert, "The Temperature-Jump Problem Based on the CES Model of the Linearized Boltzmann Equation,"*Zeitschrift für Angewandte Mathematik und Physik*,**55**(2004) 92-104. pdf version

[242] C. E. Siewert and Felix Sharipov, "Model Equations in Rarefied Gas Dynamics: Viscous-Slip and Thermal-Slip Coefficients,"*Physics of Fluids*,**14**(2002) 4123-4129. pdf version

[243] C. E. Siewert, "Poiseuille, Thermal Creep and Couette Flow: Results Based on the CES Model of the Linearized Boltzmann Equation,"*European Journal of Mechanics B/Fluids*,**21**(2002) 579-597. pdf version

[244] C. E. Siewert, "The Linearized Boltzmann Equation: A Concise and Accurate Solution of the Temperature-Jump Problem,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**77**(2003) 417-432. pdf version

[245] C. E. Siewert, "The Linearized Boltzmann Equation: Concise and Accurate Solutions to Basic Flow Problems,"*Zeitschrift für Angewandte Mathematik und Physik*,**54**(2003) 273-303. pdf version

[246] C. E. Siewert, "Viscous-Slip, Thermal-Slip and Temperature-Jump Coefficients as Defined by the Linearized Boltzmann Equation and the Cercignani-Lampis Boundary Condition,"*Physics of Fluids*,**15**(2003) 1696-1701. pdf version

[247] L. B. Barichello, P. Rodrigues and C. E. Siewert, "On Computing the Chapman-Enskog and Burnett Functions,"*Proceedings: 18'th International Conference on Transport Theory*, Rio de Janeiro, Brazil (2003) 247-250. pdf version

[248] L. B. Barichello, P. Rodrigues and C. E. Siewert, "On Computing the Chapman-Enskog and Burnett Functions,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**86**(2004) 109-114. pdf version

[249] C. E. Siewert, "Heat Transfer and Evaporation/Condensation Problems Based on the Linearized Boltzmann Equation."*European Journal of Mechanics B/Fluids*,**22**(2003) 391-408. pdf version

[250] C. E. Siewert and D. Valougeorgis, "Concise and Accurate Solutions to Half-Space Binary-Gas Flow Problems Defined by the McCormack Model and Specular-Diffuse Wall Conditions."*European Journal of Mechanics B/Fluids*,**23**(2004) 709-726. pdf version

[251] C. E. Siewert and D. Valougeorgis, "The McCormack Model: Channel Flow of a Binary Gas Mixture Driven by Temperature, Pressure and Density Gradients."*European Journal of Mechanics B/Fluids*,**23**(2004) 645-664. pdf version

[252] C. E. Siewert, "The McCormack Model for Gas Mixtures: The Temperature-Jump Problem,"*Zeitschrift für Angewandte Mathematik und Physik*,**56**(2005) 273-292. pdf version

[253] C. E. Siewert, "On Computing the Thermal-Slip Coefficient from Kramers' Problem,"*Physics of Fluids*,**16**(2004) 2132-2135. pdf version

[254] R. D. M. Garcia and C. E. Siewert, "The McCormack Model for Gas Mixtures: Heat Transfer in a Plane Channel,"*Physics of Fluids*,**16**(2004) 3393-3402. pdf version

[255] R. D. M. Garcia and C. E. Siewert, "The McCormack Model for Gas Mixtures: Plane Couette Flow,"*Physics of Fluids*,**17**(2005) 037102. pdf version

[256] R. D. M. Garcia and C. E. Siewert, "The Linearized Boltzmann Equation: Sound-Wave Propagation in a Rarefied Gas,"*Zeitschrift für Angewandte Mathematik und Physik*,**57**(2006) 94-122. pdf version

[257] C. E. Siewert, "A Legendre Expansion and Some Exact Solutions Basic to the McCormack Model for Binary Gas Mixtures,"*European Journal of Mechanics B/Fluids*,**25**(2006) 130-136. pdf version

[258] R. D. M. Garcia, C. E. Siewert and M. M. R. Williams, "A Formulation of the Linearized Boltzmann Equations for a Binary Mixture of Rigid Spheres,"*European Journal of Mechanics B/Fluids*,**24**(2005) 614-620. pdf version

[259] R. D. M. Garcia and C. E. Siewert, "Some Exact Results Basic to the Linearized Boltzmann Equations for a Binary Mixture of Rigid Spheres,"*Zeitschrift für Angewandte Mathematik und Physik*,**57**(2006) 999-1010. pdf version

[260] R. D. M. Garcia and C. E. Siewert, "Some Solutions (Linear in the Spatial Variables) and Generalized Chapman-Enskog Functions Basic to the Linearized Boltzmann Equation for a Binary Mixture of Rigid Spheres,"*Zeitschrift für Angewandte Mathematik und Physik*,**58**(2007) 262-288. pdf version

[261] R. D. M. Garcia and C. E. Siewert, "The Temperature-Jump Problem Based on the Linearized Boltzmann Equation for a Binary Mixture of Rigid Spheres,"*European Journal of Mechanics B/Fluids*,**26**(2007) 132-153. pdf version

[262] R. D. M. Garcia and C. E. Siewert, "The Viscous-Slip, Diffusion-Slip, and Thermal-Creep Problems for a Binary Mixture of Rigid Spheres Described by the Linearized Boltzmann Equation,"*European Journal of Mechanics B/Fluids*,**26**(2007) 749-778. pdf version

[263] R. D. M. Garcia and C. E. Siewert, "Heat Transfer Between Parallel Plates: An Approach Based on the Linearized Boltzmann Equation for a Binary Mixture of Rigid-Sphere Gases,"*Physics of Fluids*,**19**(2007) 027102. pdf version

[264] R. D. M. Garcia and C. E. Siewert, "Particular Solutions of the Linearized Boltzmann Equation for a Binary Mixture of Rigid Spheres,"*Zeitschrift für Angewandte Mathematik und Physik*,**59**(2008) 281-292. pdf version

[265] C. E. Siewert, "A Note on Radiative Transfer in a Finite Layer,"*Journal of Physics A: Mathematical and Theoretical*,**40**(2007) 1785-1789. pdf version

[266] R. D. M. Garcia and C. E. Siewert, "Channel Flow of a Binary Mixture of Rigid Spheres Described by the Linearized Boltzmann Equation and Driven by Temperature, Pressure, and Concentration Gradients,"*SIAM Journal on Applied Mathematics*,**67**(2007) 1041-1063. pdf version

[267] R. D. M. Garcia, C. E. Siewert and A. M. Yacout, "On the Use of Fresnel Boundary and Interface Conditions in Radiative-Transfer Calculations for Multilayered Media,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**109**(2008) 752-769. pdf version

[268] R. D. M. Garcia and C. E. Siewert, "Couette Flow of a Binary Mixture of Rigid-Sphere Gases Described by the Linearized Boltzmann Equation,"*European Journal of Mechanics B/Fluids*,**27**(2008) 823-836. pdf version

[269] R. D. M. Garcia, C. E. Siewert and A. M. Yacout, "Radiative Transfer in a Multi-Layer Medium Subject to Fresnel Boundary and Interface Conditions and Uniform Illumination by Obliquely Incident Parallel Rays,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**109**(2008) 2151-2170. pdf version

[270] R. D. M. Garcia and C. E. Siewert, "The Linearized Boltzmann Equation with Cercignani-Lampis Boundary Conditions: Basic Flow Problems in a Plane Channel,"*European Journal of Mechanics B/Fluids*,**28**(2009) 387-396. pdf version

[271] R. D. M. Garcia and C. E. Siewert, "On the Use of a Nascent Delta Function in Radiative-Transfer Calculations for Multi-Layer Media Subject to Fresnel Boundary and Interface Conditions,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**111**(2010) 128-133. pdf version

[272] R. D. M. Garcia and C. E. Siewert, "Viscous-Slip, Thermal-Slip, and Temperature-Jump Coefficients Based on the Linearized Boltzmann Equation (and Five Kinetic Models) with the Cercignani-Lampis Boundary Condition,"*European Journal of Mechanics B/Fluids*,**29**(2010) 181-191. pdf version

[273] L. B. Barichello and C. E. Siewert, "Some Evaluations of Basic Nodal-Like Schemes for a Selection of Classical Problems in Particle Transport Theory,"*Annals of Nuclear Energy*,**38**(2011) 2101-2104. pdf version

[274] R. D. M. Garcia and C. E. Siewert, "A Simplified Implementation of the Discrete-Ordinates Method for a Class of Problems in Radiative Transfer with Polarization,"*Journal of Quantitative Spectroscopy and Radiative Transfer*,**112**(2011) 2801-2813. pdf version Corrigendum pdf version

[275] R. D. M. Garcia and C. E. Siewert, "On the Dispersion Function for Complex Values of the Parameter c,"*Annals of Nuclear Energy*,**69**(2014) 203-204. pdf version

[276] R. D. M. Garcia and C. E. Siewert, "The Linearized Boltzmann Equation with Cercignani-Lampis Boundary Conditions: Heat Transfer in a Gas Confined by Two Plane-Parallel Surfaces,"*Annals of Nuclear Energy*,**86**(2015) 45-54. pdf version

[277] R. D. M. Garcia, C. E. Siewert, and J. R. Thomas Jr., "A Computationally Viable Version of the P_{N}Method for Spheres,"*Nuclear Science and Engineering*,**186**(2017) 103-119. pdf version

[278] Norman J. McCormick, Charles E. Siewert, Barry D. Ganapol, and Anil K. Prinja, "Paul Frederick Zweifel,"*Physics Today***70**(8) (2017) 73. pdf version

[279] Norman J. McCormick, Roberto D. M. Garcia, and Charles E. Siewert, “Biographical Memoir and Publications of Paul F. Zweifel,”*Journal of Computational and Theoretical Transport***47**(2018) 187-208. pdf version