List of Publications

• [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 x²+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
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