Charles Siewert

McCormick, N. J., Garcia, R. D. M., & Siewert, C. E. (2018, April 16). Biographical Memoir and Publications of Paul F. Zweifel. JOURNAL OF COMPUTATIONAL AND THEORETICAL TRANSPORT, Vol. 47, pp. 187–208. https://doi.org/10.1080/23324309.2018.1508474

Garcia, R. D. M., Siewert, C. E., & Thomas, J. R., Jr. (2017). A Computationally Viable Version of the PN Method for Spheres. NUCLEAR SCIENCE AND ENGINEERING, 186(2), 103–119. https://doi.org/10.1080/00295639.2016.1273627

McCormick, N. J., Siewert, C. E., Ganapol, B. D., & Prinja, A. K. (2017, August). Paul Frederick Zweifel. PHYSICS TODAY, Vol. 70, pp. 73–73. https://doi.org/10.1063/pt.3.3671

Garcia, R. D. M., & Siewert, C. E. (2015). 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, 45–54. https://doi.org/10.1016/j.anucene.2015.01.013

Garcia, R. D. M., & Siewert, C. E. (2014). On the dispersion function for complex values of the parameter c. ANNALS OF NUCLEAR ENERGY, 69, 203–204. https://doi.org/10.1016/j.anucene.2014.02.015

Garcia, R. D. M., & Siewert, C. E. (2011). A simplified implementation of the discrete-ordinates method for a class of problems in radiative transfer with polarization. JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 112(18), 2801–2813. https://doi.org/10.1016/j.jqsrt.2011.08.010

Barichello, L. B., & Siewert, C. E. (2011). Some evaluations of basic nodal-like schemes for a selection of classical problems in particle transport theory. ANNALS OF NUCLEAR ENERGY, 38(9), 2101–2104. https://doi.org/10.1016/j.anucene.2011.05.005

Garcia, R. D. M., & Siewert, C. E. (2010). 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 & RADIATIVE TRANSFER, 111(1), 128–133. https://doi.org/10.1016/j.jqsrt.2009.06.004

Garcia, R. D. M., & Siewert, C. E. (2010). 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(3), 181–191. https://doi.org/10.1016/j.euromechflu.2010.01.005

Garcia, R. D. M., & Siewert, C. E. (2009). The linearized Boltzmann equation with Cercignani-Lampis boundary conditions: Basic flow problems in a plane channel. EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 28(3), 387–396. https://doi.org/10.1016/j.euromechflu.2008.12.001

Garcia, R. D. M., & Siewert, C. E. (2008). Couette flow of a binary mixture of rigid-sphere gases described by the linearized Boltzmann equation. EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 27(6), 823–836. https://doi.org/10.1016/j.euromechflu.2008.01.004

Garcia, R. D. M., Siewert, C. E., & Yacout, A. M. (2008). On the use of Fresnel boundary and interface conditions in radiative-transfer calculations for multilayered media. JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 109(5), 752–769. https://doi.org/10.1016/j.jqsrt.2007.09.013

Garcia, R. D. M., & Siewert, C. E. (2008). Particular solutions of the linearized Boltzmann equation for a binary mixture of rigid spheres. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 59(2), 281–292. https://doi.org/10.1007/s00033-007-6106-y

Garcia, R. D. M., Siewert, C. E., & Yacout, A. M. (2008). 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 & RADIATIVE TRANSFER, 109(12-13), 2151–2170. https://doi.org/10.1016/j.jqsrt.2008.03.012

Siewert, C. E. (2007). A note on radiative transfer in a finite layer. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 40(8), 1785–1789. https://doi.org/10.1088/1751-8113/40/8/007

Garcia, R. D. M., & Siewert, C. E. (2007). 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(4), 1041–1063. https://doi.org/10.1137/060673606

Garcia, R. D. M., & Siewert, C. E. (2007). 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(2). https://doi.org/10.1063/1.2511039

Garcia, R. D. M., & Siewert, C. E. (2007). Some solutions (linear in the spatial variables) and generalized Chapman-Enskog functions basic to the linearized Boltzmann equations for a binary mixture of rigid spheres. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 58(2), 262–288. https://doi.org/10.1007/s00033-006-0074-5

Garcia, R. D. M., & Siewert, C. E. (2007). The temperature-jump problem based on the linearized Boltzmann equation for a binary mixture of rigid spheres. EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 26(1), 132–153. https://doi.org/10.1016/j.euromechflu.2006.04.001

Garcia, R. D. M., & Siewert, C. E. (2007). 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(6), 749–778. https://doi.org/10.1016/j.euromechflu.2006.12.002

Siewert, C. E. (2006). A Legendre expansion and some exact solutions basic to the McCormack model for binary gas mixtures. EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 25(1), 130–136. https://doi.org/10.1016/j.euromechflu.2005.04.005

Garcia, R. D. M., & Siewert, C. E. (2006). Some exact results basic to the linearized Boltzmann equations for a binary mixture of rigid spheres. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 57(6), 999–1010. https://doi.org/10.1007/s00033-005-0027-4

Garcia, R. D. M., & Siewert, C. E. (2005). The McCormack model for gas mixtures: Plane Couette flow. PHYSICS OF FLUIDS, 17(3). https://doi.org/10.1063/1.1845911

Siewert, C. E. (2005). The McCormack model for gas mixtures: The temperature-jump problem. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 56(2), 273–292. https://doi.org/10.1007/s00033-004-3116-x

Garcia, R. D. M., & Siewert, C. E. (2005). The linearized Boltzmann equation: Sound-wave propagation in a rarefied gas. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 57(1), 94–122. https://doi.org/10.1007/s00033-005-0007-8

Siewert, C. E., & Valougerogis, D. (2004). 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(5), 709–726. https://doi.org/10.1016/j.euromechflu.2003.12.002

Barichello, L. B., Rodrigues, P., & Siewert, C. E. (2004). On computing the Chapman-Enskog and Burnett functions. JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 86(1), 109–114. https://doi.org/10.1016/j.jqsrt.2003.10.001

Siewert, C. E. (2004). On computing the thermal-slip coefficient from Kramers' problem. PHYSICS OF FLUIDS, 16(6), 2132–2135. https://doi.org/10.1063/1.1728157

Garcia, R. D. M., & Siewert, C. E. (2004). The McCormack model for gas mixtures: Heat transfer in a plane channel. PHYSICS OF FLUIDS, 16(9), 3393–3402. https://doi.org/10.1063/1.1773711

Siewert, C. E., & Valougeorgis, D. (2004). The McCormack model: channel flow of a binary gas mixture driven by temperature, pressure and density gradients. EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 23(4), 645–664. https://doi.org/10.1016/j.euromechflu.2004.03.003

Siewert, C. E. (2004). The temperature-jump problem based on the CES model of the linearized Boltzmann equation. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 55(1), 92–104. https://doi.org/10.1007/s00033-003-1140-x

Siewert, C. E. (2003). Heat transfer and evaporation/condensation problems based on the linearized Boltzmann equation. EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 22(4), 391–408. https://doi.org/10.1016/S0997-7546(03)00053-0

Barichello, L. B., & Siewert, C. E. (2003). Some comments on modeling the linearized Boltzmann equation. JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 77(1), 43–59. https://doi.org/10.1016/S0022-4073(02)00074-2

Siewert, C. E. (2003). The linearized Boltzmann equation: Concise and accurate solutions to basic flow problems. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 54(2), 273–303. https://doi.org/10.1007/s000330300005

Siewert, C. E. (2003). The linearized Boltzmann equation: a concise and accurate solution of the temperature-jump problem. JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 77(4), 417–432. https://doi.org/10.1016/S0022-4073(02)00172-3

Siewert, C. E. (2003). 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(6), 1696–1701. https://doi.org/10.1063/1.1567284

Barichello, L. B., Rodrigues, P., & Siewert, C. E. (2002). An analytical discrete-ordinates solution for dual-mode heat transfer in a cylinder. JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 73(6), 583–602. https://doi.org/10.1016/S0022-4073(01)00181-9

Siewert, C. E., & Valougeorgis, D. (2002). An analytical discrete-ordinates solution of the S-model kinetic equations for flow in a cylindrical tube. JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 72(4), 531–550. https://doi.org/10.1016/S0022-4073(01)00189-3

Barichello, L. B., Camargo, M., Rodrigues, P., & Siewert, C. E. (2002). An integral equation basic to the BGK model for flow in a cylindrical tube. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 53(5), 769–781. https://doi.org/10.1007/s00033-002-8182-3

Siewert, C. E. (2002). Generalized boundary conditions for the S-model kinetic equations basic to flow in a plane channel. JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 72(1), 75–88. https://doi.org/10.1016/S0022-4073(01)00057-7

Siewert, C. E. (2002). Inverse solutions to radiative-transfer problems based on the binomial or the Henyey-Greenstein scattering law. JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 72(6), 827–835. https://doi.org/10.1016/S0022-4073(01)00161-3

Siewert, C. E. (2002). Inverse solutions to radiative-transfer problems with partially transparent boundaries and diffuse reflection. JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 72(4), 299–313. https://doi.org/10.1016/S0022-4073(01)00122-4

Siewert, C. E., & Sharipov, F. (2002). Model equations in rarefied gas dynamics: Viscous-slip and thermal-slip coefficients. PHYSICS OF FLUIDS, 14(12), 4123–4129. https://doi.org/10.1063/1.1514973

Siewert, C. E. (2002). On computing the Chapman-Enskog functions for viscosity and heat transfer and the Burnett functions. JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 74(6), 789–796. https://doi.org/10.1016/S0022-4073(01)00289-8

Siewert, C. E. (2002). Poiseuille, thermal creep and Couette flow: results based on the CES model of the linearized Boltzmann equation. EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 21(5), 579–597. https://doi.org/10.1016/S0997-7546(02)01202-5

Barichello, L. B., Bartz, A. C. R., Camargo, M., & Siewert, C. E. (2002). The temperature-jump problem for a variable collision frequency model. PHYSICS OF FLUIDS, 14(1), 382–391. https://doi.org/10.1063/1.1416192

Siewert, C. E. (2002). Two half-space problems based on a synthetic-kernel model of the linearized Boltzmann equation. JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 75(1), 21–38. https://doi.org/10.1016/S0022-4073(01)00290-4

Siewert, C. E. (2001). Kramers' problem for a variable collision frequency model. EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 12, 179–191. https://doi.org/10.1017/s0956792501004491

Siewert, C. E. (2001). The critical problem with high-order anisotropic scattering. ANNALS OF NUCLEAR ENERGY, 28(8), 825–829. https://doi.org/10.1016/S0306-4549(00)00090-6

Siewert, C. E., & Valougeorgis, D. (2001). The temperature-jump problem for a mixture of two gases. JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 70(3), 307–319. https://doi.org/10.1016/S0022-4073(00)00142-4

Barichello, L. B., Camargo, M., Rodrigues, P., & Siewert, C. E. (2001). Unified solutions to classical flow problems based on the BGK model. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 52(3), 517–534. https://doi.org/10.1007/pl00001559

Siewert, C. E. (2000). A concise and accurate solution to Chandrasekhar's basic problem in radiative transfer. JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 64(2), 109–130. https://doi.org/10.1016/s0022-4073(98)00144-7

Siewert, C. E. (2000). A discrete-ordinates solution for multigroup transport theory with upscattering. JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 64(3), 255–273. https://doi.org/10.1016/S0022-4073(99)00098-9

Siewert, C. E. (2000). A discrete-ordinates solution for radiative-transfer models that include polarization effects. JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 64(3), 227–254. https://doi.org/10.1016/S0022-4073(99)00006-0

Barichello, L. B., Garcia, R. D. M., & Siewert, C. E. (2000). Particular solutions for the discrete-ordinates method. JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 64(3), 219–226. https://doi.org/10.1016/S0022-4073(98)00146-0

Siewert, C. E. (2000). Poiseuille and thermal-creep flow in a cylindrical tube. JOURNAL OF COMPUTATIONAL PHYSICS, 160(2), 470–480. https://doi.org/10.1006/jcph.2000.6464

Barichello, L. B., & Siewert, C. E. (2000). The searchlight problem for radiative transfer in a finite slab. JOURNAL OF COMPUTATIONAL PHYSICS, 157(2), 707–726. https://doi.org/10.1006/jcph.1999.6396

Barichello, L. B., & Siewert, C. E. (2000). The temperature-jump problem in rarefied-gas dynamics. EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 11, 353–364. https://doi.org/10.1017/S0956792599004180

Garcia, R. D. M., & Siewert, C. E. (2000). The transport of neutral hydrogen atoms in a hydrogen plasma. NUCLEAR SCIENCE AND ENGINEERING, 136(1), 140–149. https://doi.org/10.13182/NSE00-A2150

Siewert, C. E. (1999). A concise and accurate solution for a polarization model in radiative transfer. JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 62(6), 677–684. https://doi.org/10.1016/S0022-4073(98)00097-1

Barichello, L. B., & Siewert, C. E. (1999). A discrete-ordinates solution for Poiseuille flow in a plane channel. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 50(6), 972–981. https://doi.org/10.1007/s000000050189

Barichello, L. B., & Siewert, C. E. (1999). A discrete-ordinates solution for a non-grey model with complete frequency redistribution. JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 62(6), 665–675. https://doi.org/10.1016/S0022-4073(98)00096-X

Barichello, L. B., & Siewert, C. E. (1999). A discrete-ordinates solution for a polarization model with complete frequency redistribution. ASTROPHYSICAL JOURNAL, 513(1), 370–382. https://doi.org/10.1086/306834

Siewert, C. E. (1999). A discrete-ordinates solution for heat transfer in a plane channel. JOURNAL OF COMPUTATIONAL PHYSICS, 152(1), 251–263. https://doi.org/10.1006/jcph.1999.6244

Siewert, C. E., & Wright, S. J. (1999). Efficient eigenvalue calculations in radiative transfer. JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 62(6), 685–688. https://doi.org/10.1016/S0022-4073(98)00099-5

Siewert, C. E. (1999). Some comments concerning the discrete eigenvalue.

Barichello, L. B., & Siewert, C. E. (1998). A computation of the X and Y functions for a non-grey model with complete frequency redistribution. JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 60(4), 649–656. https://doi.org/10.1016/S0022-4073(98)00004-1

Barichello, L. B., Garcia, R. D. M., & Siewert, C. E. (1998). A spherical-harmonics solution for radiative-transfer problems with reflecting boundaries and internal sources. JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 60(2), 247–260. https://doi.org/10.1016/S0022-4073(97)00176-3

Barichello, L. B., & Siewert, C. E. (1998). On the equivalence between the discrete ordinates and the spherical harmonics methods in radiative transfer. NUCLEAR SCIENCE AND ENGINEERING, 130(1), 79–84. https://doi.org/10.13182/NSE98-A1991

Garcia, R. D. M., & Siewert, C. E. (1998). The F-N method for multigroup transport theory with upscattering. NUCLEAR SCIENCE AND ENGINEERING, 130(2), 194–212. https://doi.org/10.13182/NSE98-A2000

Barichello, L. B., & Siewert, C. E. (1998). The F-N method for spectral-line formation by completely noncoherent scattering. JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 60(2), 261–276. https://doi.org/10.1016/S0022-4073(97)00171-4

Garcia, R. D. M., & Siewert, C. E. (1998). The F-N method in atmospheric radiative transfer. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, Vol. 36, pp. 1623–1649. https://doi.org/10.1016/S0020-7225(98)00051-2

Barichello, L. B., Garcia, R. D. M., & Siewert, C. E. (1997). On inverse boundary-condition problems in radiative transfer. JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 57(3), 405–410. https://doi.org/10.1016/S0022-4073(96)00095-7

Barichello, L. B., Garcia, R. D. M., & Siewert, C. E. (1997). Radiative transfer with asymmetric ground reflection. Proceedings of the 2nd Italian-Latinamerican Conference on Applied and Industrial Mathematics - ITLA 97, Roma, 1997, (1997), 13.

Siewert, C. E., & McCormick, N. J. (1997). Some identities for Chandrasekhar polynomials. JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 57(3), 399–404. https://doi.org/10.1016/S0022-4073(96)00122-7