Yilbas, Bekir Sami; Mansoor, Saad Bin Influence of heat source size on phonon transport in thin silicon film. (English) Zbl 1302.82102 Transp. Theory Stat. Phys. 42, No. 2-3, 65-84 (2013). MSC: 82C70 76P05 78A40 82-08 65M06 PDFBibTeX XMLCite \textit{B. S. Yilbas} and \textit{S. B. Mansoor}, Transp. Theory Stat. Phys. 42, No. 2--3, 65--84 (2013; Zbl 1302.82102) Full Text: DOI
Asadzadeh, Mohammad; Gebäck, Tobias Spherical harmonics and a semidiscrete finite element approximation for the transport equation. (English) Zbl 1273.82062 Transp. Theory Stat. Phys. 41, No. 1-2, 53-70 (2012). Reviewer: Dazmir Shulaia (Tbilisi) MSC: 82C70 65N12 65N30 PDFBibTeX XMLCite \textit{M. Asadzadeh} and \textit{T. Gebäck}, Transp. Theory Stat. Phys. 41, No. 1--2, 53--70 (2012; Zbl 1273.82062) Full Text: DOI
Cartier, J.; Peybernes, M. Improved mixed and hybrid discretization of the transport equation in slab geometry. (English) Zbl 1273.82063 Transp. Theory Stat. Phys. 41, No. 1-2, 40-52 (2012). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 82C70 65N30 80M10 PDFBibTeX XMLCite \textit{J. Cartier} and \textit{M. Peybernes}, Transp. Theory Stat. Phys. 41, No. 1--2, 40--52 (2012; Zbl 1273.82063) Full Text: DOI
Boulanouar, M. New results in abstract time-dependent transport equations. (English) Zbl 1241.82070 Transp. Theory Stat. Phys. 40, No. 1-4, 85-125 (2011); corrigendum ibid. 42, No. 2-3, 131-132 (2013). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 82C70 PDFBibTeX XMLCite \textit{M. Boulanouar}, Transp. Theory Stat. Phys. 40, No. 1--4, 85--125 (2011; Zbl 1241.82070) Full Text: DOI
Amirov, Arif; Ustaoglu, Zekeriya; Heydarov, Bayram Solvability of a two dimensional coefficient inverse problem for transport equation and a numerical method. (English) Zbl 1276.82052 Transp. Theory Stat. Phys. 40, No. 1-4, 1-22 (2011). Reviewer: Gen Qi Xu (Tianjin) MSC: 82C70 65N21 65N06 65N12 82-08 PDFBibTeX XMLCite \textit{A. Amirov} et al., Transp. Theory Stat. Phys. 40, No. 1--4, 1--22 (2011; Zbl 1276.82052) Full Text: DOI
Cartier, J.; Peybernes, M. Mixed variational formulation and mixed-hybrid discretization of the transport equation. (English) Zbl 1214.82094 Transp. Theory Stat. Phys. 39, No. 1, 1-46 (2010). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 82C70 65N30 PDFBibTeX XMLCite \textit{J. Cartier} and \textit{M. Peybernes}, Transp. Theory Stat. Phys. 39, No. 1, 1--46 (2010; Zbl 1214.82094) Full Text: DOI
Constantinescu, Adrian; Anistratov, Dmitriy Y. Stability analysis of the quasidiffusion method on periodic heterogeneous 1D transport problems. (English) Zbl 1183.82102 Transp. Theory Stat. Phys. 38, No. 6, 295-316 (2009). MSC: 82D75 82C70 65N30 PDFBibTeX XMLCite \textit{A. Constantinescu} and \textit{D. Y. Anistratov}, Transp. Theory Stat. Phys. 38, No. 6, 295--316 (2009; Zbl 1183.82102) Full Text: DOI
Tcheremissine, F. G. Solution of the Boltzmann kinetic equation for low speed flows. (English) Zbl 1156.82382 Transp. Theory Stat. Phys. 37, No. 5-7, 564-575 (2008). MSC: 82C40 76P05 65M06 82C80 PDFBibTeX XMLCite \textit{F. G. Tcheremissine}, Transp. Theory Stat. Phys. 37, No. 5--7, 564--575 (2008; Zbl 1156.82382) Full Text: DOI
Aristova, E. N. Simulation of radiation transport in a channel based on the quasi-diffusion method. (English) Zbl 1156.82385 Transp. Theory Stat. Phys. 37, No. 5-7, 483-503 (2008). MSC: 82C70 82C80 65M06 PDFBibTeX XMLCite \textit{E. N. Aristova}, Transp. Theory Stat. Phys. 37, No. 5--7, 483--503 (2008; Zbl 1156.82385) Full Text: DOI
Sheng, Zhiqiang; Yuan, Guangwei A finite volume scheme for diffusion equations on distorted quadrilateral meshes. (English) Zbl 1375.82100 Transp. Theory Stat. Phys. 37, No. 2-4, 171-207 (2008). MSC: 82C80 65N06 76M12 PDFBibTeX XMLCite \textit{Z. Sheng} and \textit{G. Yuan}, Transp. Theory Stat. Phys. 37, No. 2--4, 171--207 (2008; Zbl 1375.82100) Full Text: DOI
Ilas, Dan; Rahnema, Farzad A heterogeneous coarse mesh transport method. (English) Zbl 1127.82318 Transp. Theory Stat. Phys. 32, No. 5-7, 445-471 (2003). MSC: 82C70 82C80 PDFBibTeX XMLCite \textit{D. Ilas} and \textit{F. Rahnema}, Transp. Theory Stat. Phys. 32, No. 5--7, 445--471 (2003; Zbl 1127.82318) Full Text: DOI
Lucquin-Desreux, B.; Mancini, S. A finite element approximation of grazing collisions. (English) Zbl 1053.82029 Transp. Theory Stat. Phys. 32, No. 3-4, 279-305 (2003). MSC: 82C40 65N30 35B40 PDFBibTeX XMLCite \textit{B. Lucquin-Desreux} and \textit{S. Mancini}, Transp. Theory Stat. Phys. 32, No. 3--4, 279--305 (2003; Zbl 1053.82029) Full Text: DOI
Pain, C. C.; de Oliveira, C. R. E.; Goddard, A. J. H. Dual basis and characteristic discontinuous finite element discretizations for the Boltzmann transport equation. (English) Zbl 0990.82028 Transp. Theory Stat. Phys. 29, No. 6, 681-697 (2000). MSC: 82C70 82C40 76W05 76P05 PDFBibTeX XMLCite \textit{C. C. Pain} et al., Transp. Theory Stat. Phys. 29, No. 6, 681--697 (2000; Zbl 0990.82028) Full Text: DOI
Latrach, Khalid On the real point spectrum of multigroup neutron transport operator in bounded geometries. (English) Zbl 1019.82026 Transp. Theory Stat. Phys. 29, No. 6, 661-680 (2000). MSC: 82D75 82C70 PDFBibTeX XMLCite \textit{K. Latrach}, Transp. Theory Stat. Phys. 29, No. 6, 661--680 (2000; Zbl 1019.82026) Full Text: DOI
Yamazaki, Mitsuru Global existence with locally finite entropy data for discrete models of the Boltzmann equation with linear and quadratic terms. (Existence globale à données d’entropie localement finie pour les modèles discrets de l’équation de Boltzmann avec termes linéaires et quadratiques.) (French) Zbl 1019.82017 Transp. Theory Stat. Phys. 29, No. 3-5, 595-605 (2000). MSC: 82C40 76P05 PDFBibTeX XMLCite \textit{M. Yamazaki}, Transp. Theory Stat. Phys. 29, No. 3--5, 595--605 (2000; Zbl 1019.82017) Full Text: DOI
Bobylev, A. V.; Rjasanow, S. Numerical solution of the Boltzmann equation using a fully conservative difference scheme based on the fast Fourier transform. (English) Zbl 1017.82042 Transp. Theory Stat. Phys. 29, No. 3-5, 289-310 (2000). MSC: 82C40 76M20 65M06 76P05 82-08 PDFBibTeX XMLCite \textit{A. V. Bobylev} and \textit{S. Rjasanow}, Transp. Theory Stat. Phys. 29, No. 3--5, 289--310 (2000; Zbl 1017.82042) Full Text: DOI DOI
Heintz, A. Initial boundary value problems in irregular domains for nonlinear kinetic equations of Boltzmann type. (English) Zbl 0942.35003 Transp. Theory Stat. Phys. 28, No. 2, 105-134 (1999). Reviewer: R.Illner (Victoria) MSC: 35A05 76P05 82C40 PDFBibTeX XMLCite \textit{A. Heintz}, Transp. Theory Stat. Phys. 28, No. 2, 105--134 (1999; Zbl 0942.35003) Full Text: DOI
Greenberg, William; Yao, Aixiang Kinetic equations for Enskog gases with piecewise constant intermolecular potentials. (English) Zbl 0899.76318 Transp. Theory Stat. Phys. 26, No. 1-2, 139-152 (1997). MSC: 76P05 82B40 PDFBibTeX XMLCite \textit{W. Greenberg} and \textit{A. Yao}, Transp. Theory Stat. Phys. 26, No. 1--2, 139--152 (1997; Zbl 0899.76318) Full Text: DOI
Huang, Aixiang; Ma, Yichen The application of modern numerical methods to the neutron transport equation. (English) Zbl 0905.65099 Transp. Theory Stat. Phys. 26, No. 1-2, 65-83 (1997). Reviewer: W.C.Rheinboldt (Pittsburgh) MSC: 65M60 65M12 65M15 35K55 82C70 PDFBibTeX XMLCite \textit{A. Huang} and \textit{Y. Ma}, Transp. Theory Stat. Phys. 26, No. 1--2, 65--83 (1997; Zbl 0905.65099) Full Text: DOI
Asadzadeh, Mohammad Streamline diffusion methods for Fermi and Fokker-Planck equations. (English) Zbl 0907.65143 Transp. Theory Stat. Phys. 26, No. 3, 319-340 (1997). Reviewer: Y.Cherruault (Paris) MSC: 65R20 65K05 82C31 PDFBibTeX XMLCite \textit{M. Asadzadeh}, Transp. Theory Stat. Phys. 26, No. 3, 319--340 (1997; Zbl 0907.65143) Full Text: DOI
Kobayashi, Keisuke On the advantage of the finite Fourier transformation method for the solution of a multigroup transport equation by the spherical harmonics method. (English) Zbl 0819.65143 Transp. Theory Stat. Phys. 24, No. 1-3, 113-132 (1995). Reviewer: Y.Cherruault (Paris) MSC: 65R20 45K05 82C70 PDFBibTeX XMLCite \textit{K. Kobayashi}, Transp. Theory Stat. Phys. 24, No. 1--3, 113--132 (1995; Zbl 0819.65143) Full Text: DOI
Akesbi, S.; Lesaint, P. Discontinuous finite elements for the 1D transport equation. Acceleration by diffusion method. (English) Zbl 0871.65115 Transp. Theory Stat. Phys. 24, No. 4-5, 731-751 (1995). MSC: 65R20 82C70 45K05 PDFBibTeX XMLCite \textit{S. Akesbi} and \textit{P. Lesaint}, Transp. Theory Stat. Phys. 24, No. 4--5, 731--751 (1995; Zbl 0871.65115) Full Text: DOI
del Valle, E.; Hennart, J. P. A generalized nodal finite element formalism for discrete ordinates equations in slab geometry. III: Numerical results. (English) Zbl 0871.65113 Transp. Theory Stat. Phys. 24, No. 4-5, 505-533 (1995). MSC: 65R20 45K05 82C70 82D75 PDFBibTeX XMLCite \textit{E. del Valle} and \textit{J. P. Hennart}, Transp. Theory Stat. Phys. 24, No. 4--5, 505--533 (1995; Zbl 0871.65113) Full Text: DOI
Hennart, J. P.; del Valle, E. A generalized nodal finite element formalism for discrete ordinates equations in slab geometry. II: Theory in the discontinuous moment case. (English) Zbl 0871.65112 Transp. Theory Stat. Phys. 24, No. 4-5, 479-504 (1995). MSC: 65R20 45K05 82C70 82D75 PDFBibTeX XMLCite \textit{J. P. Hennart} and \textit{E. del Valle}, Transp. Theory Stat. Phys. 24, No. 4--5, 479--504 (1995; Zbl 0871.65112) Full Text: DOI
Hennart, J. P.; del Valle, E. A generalized nodal finite element formalism for discrete ordinates equations in slab geometry. I: Theory in the continuous moment case. (English) Zbl 0871.65111 Transp. Theory Stat. Phys. 24, No. 4-5, 449-478 (1995). MSC: 65R20 45K05 82C70 82D75 PDFBibTeX XMLCite \textit{J. P. Hennart} and \textit{E. del Valle}, Transp. Theory Stat. Phys. 24, No. 4--5, 449--478 (1995; Zbl 0871.65111) Full Text: DOI
Song, Degong; Wang, Miansen; Zhu, Guangtian A note on the spectrum of the transport operator with continuous energy. (English) Zbl 0791.45004 Transp. Theory Stat. Phys. 22, No. 5, 709-721 (1993). Reviewer: S.Mika (Plzeň) MSC: 45K05 45C05 82C70 PDFBibTeX XMLCite \textit{D. Song} et al., Transp. Theory Stat. Phys. 22, No. 5, 709--721 (1993; Zbl 0791.45004) Full Text: DOI
Chen, G. S.; Lee, H. H. Finite difference approximations to time-dependent multigroup transport equations in slab geometry. (English) Zbl 0801.65139 Transp. Theory Stat. Phys. 22, No. 4, 429-458 (1993). Reviewer: S.Mika (Plzeň) MSC: 65R20 82C70 45K05 PDFBibTeX XMLCite \textit{G. S. Chen} and \textit{H. H. Lee}, Transp. Theory Stat. Phys. 22, No. 4, 429--458 (1993; Zbl 0801.65139) Full Text: DOI
Moskalev, O. B. The reconstruction of a positive function from its finite Fourier series. (English) Zbl 0787.65108 Transp. Theory Stat. Phys. 22, No. 2-3, 347-358 (1993). Reviewer: H.P.Dikshit (Jabalpur) MSC: 65T40 65R20 65C05 45K05 82C70 PDFBibTeX XMLCite \textit{O. B. Moskalev}, Transp. Theory Stat. Phys. 22, No. 2--3, 347--358 (1993; Zbl 0787.65108) Full Text: DOI
Miller, Warren F. jun.; Noh, Taewan Finite differences versus finite elements in slab geometry, even-parity transport theory. (English) Zbl 0801.65137 Transp. Theory Stat. Phys. 22, No. 2-3, 247-270 (1993). Reviewer: S.Mika (Plzeň) MSC: 65R20 45K05 82C70 PDFBibTeX XMLCite \textit{W. F. Miller jun.} and \textit{T. Noh}, Transp. Theory Stat. Phys. 22, No. 2--3, 247--270 (1993; Zbl 0801.65137) Full Text: DOI
Myneni, Ranga B.; Asrar, Ghassem; Gerstl, Siegfried A. W. Radiative transfer in three dimensional leaf canopies. (English) Zbl 1467.82086 Transp. Theory Stat. Phys. 19, No. 3-5, 205-250 (1990). MSC: 82C70 78A40 78A45 65N06 65N12 65N15 86A10 PDFBibTeX XMLCite \textit{R. B. Myneni} et al., Transp. Theory Stat. Phys. 19, No. 3--5, 205--250 (1990; Zbl 1467.82086) Full Text: DOI
Kelley, C. T. The \(F_ N\) method in slab geometries with a polynomial basis. (English) Zbl 0662.65127 Transp. Theory Stat. Phys. 17, No. 2-3, 295-303 (1988). Reviewer: D.A.Quinney MSC: 65R20 82C70 45K05 PDFBibTeX XMLCite \textit{C. T. Kelley}, Transp. Theory Stat. Phys. 17, No. 2--3, 295--303 (1988; Zbl 0662.65127) Full Text: DOI
Keller, Herbert B.; Nelson, Paul Closed linear one-cell functional spatial approximations: Consistency implies convergence and stability. (English) Zbl 0654.65062 Transp. Theory Stat. Phys. 17, No. 2-3, 191-208 (1988). Reviewer: J.M.Sanz-Serna MSC: 65L10 65L20 82C70 34B30 PDFBibTeX XMLCite \textit{H. B. Keller} and \textit{P. Nelson}, Transp. Theory Stat. Phys. 17, No. 2--3, 191--208 (1988; Zbl 0654.65062) Full Text: DOI
Sundararaman, V.; Prasad, M. A. Analysis of global errors in discrete ordinate approximations to the transport equation in slab geometry. (English) Zbl 0652.65098 Transp. Theory Stat. Phys. 17, No. 1, 71-92 (1988). Reviewer: Hou Zongyi MSC: 65R20 45K05 82C70 PDFBibTeX XMLCite \textit{V. Sundararaman} and \textit{M. A. Prasad}, Transp. Theory Stat. Phys. 17, No. 1, 71--92 (1988; Zbl 0652.65098) Full Text: DOI
Camera-Roda, G.; Sarti, G. C. Non-Fickian mass transport through polymers: A viscoelastic theory. (English) Zbl 0608.73120 Transp. Theory Stat. Phys. 15, 1023-1050 (1986). MSC: 74A15 35L67 65N30 82D60 82C70 35R35 74D05 74D10 74A20 PDFBibTeX XMLCite \textit{G. Camera-Roda} and \textit{G. C. Sarti}, Transp. Theory Stat. Phys. 15, 1023--1050 (1986; Zbl 0608.73120) Full Text: DOI
Adams, M. L.; Martin, W. R. Slab geometry transport spatial discretization schemes with infinite- order convergence. (English) Zbl 0608.65099 Transp. Theory Stat. Phys. 15, 651-671 (1986). Reviewer: N.D.Sengupta MSC: 65R20 82C70 45K05 PDFBibTeX XMLCite \textit{M. L. Adams} and \textit{W. R. Martin}, Transp. Theory Stat. Phys. 15, 651--671 (1986; Zbl 0608.65099) Full Text: DOI
Allen, E. J. A finite element approach for treating the energy variable in the numerical solution of the neutron transport equation. (English) Zbl 0605.65093 Transp. Theory Stat. Phys. 15, 449-478 (1986). MSC: 65R20 45K05 82C70 PDFBibTeX XMLCite \textit{E. J. Allen}, Transp. Theory Stat. Phys. 15, 449--478 (1986; Zbl 0605.65093) Full Text: DOI
Fletcher, J. K. A solution of the multigroup transport equation using spherical harmonics. (English) Zbl 0605.65092 Transp. Theory Stat. Phys. 15, 157-179 (1986). MSC: 65R20 45K05 82C70 PDFBibTeX XMLCite \textit{J. K. Fletcher}, Transp. Theory Stat. Phys. 15, 157--179 (1986; Zbl 0605.65092) Full Text: DOI
Nelson, Paul; Seth, Daniel L. Stability of the upwind discrete energy approximation to the Spencer- Lewis equation of electron transport. (English) Zbl 0585.65095 Transp. Theory Stat. Phys. 15, 211-243 (1986). MSC: 65R20 82C70 45K05 PDFBibTeX XMLCite \textit{P. Nelson} and \textit{D. L. Seth}, Transp. Theory Stat. Phys. 15, 211--243 (1986; Zbl 0585.65095) Full Text: DOI
Boffi, V. C.; Spiga, G.; Menon, S. V. G.; Srivastava, M. K. Critical problem for finite slabs with sinusoidally space-dependent scattering ratio. (English) Zbl 0633.65142 Transp. Theory Stat. Phys. 14, 373-382 (1985). Reviewer: I.K.Abu-Shumays MSC: 65R20 45K05 82C70 PDFBibTeX XMLCite \textit{V. C. Boffi} et al., Transp. Theory Stat. Phys. 14, 373--382 (1985; Zbl 0633.65142) Full Text: DOI
Kobayashi, Keisuke Solution of multi-dimensional neutron transport equation of the spherical harmonics method using the finite Fourier transformation and quadrature formula. (English) Zbl 0607.65093 Transp. Theory Stat. Phys. 14, 63-81 (1985). Reviewer: I.K.Abu-Shumays MSC: 65R20 45K05 82C70 PDFBibTeX XMLCite \textit{K. Kobayashi}, Transp. Theory Stat. Phys. 14, 63--81 (1985; Zbl 0607.65093) Full Text: DOI
Lorence, Leonard J. jun.; Martin, William R.; Luskin, Mitchell Analysis of a block Gauss-Seidel iterative method for a finite element discretization of the neutron transport equation. (English) Zbl 0596.65097 Transp. Theory Stat. Phys. 14, 35-62 (1985). Reviewer: Chia-Ven Pao MSC: 65R20 45K05 82C70 PDFBibTeX XMLCite \textit{L. J. Lorence jun.} et al., Transp. Theory Stat. Phys. 14, 35--62 (1985; Zbl 0596.65097) Full Text: DOI
Filippone, W. L. The finite element formulation of the streaming ray method. (English) Zbl 0546.65097 Transp. Theory Stat. Phys. 12, 323-337 (1983). MSC: 65R20 45K05 82C70 PDFBibTeX XMLCite \textit{W. L. Filippone}, Transp. Theory Stat. Phys. 12, 323--337 (1983; Zbl 0546.65097) Full Text: DOI
Meade, D. Solution of the neutron group-diffusion equations by orthogonal collocation with cubic Hermite interpolants. (English) Zbl 0546.65094 Transp. Theory Stat. Phys. 12, 271-284 (1983). MSC: 65R20 45K05 82C70 PDFBibTeX XMLCite \textit{D. Meade}, Transp. Theory Stat. Phys. 12, 271--284 (1983; Zbl 0546.65094) Full Text: DOI
del Valle-Gallegos, Edmundo Application of the Galerkin finite element method to reactor dynamic problems. (English) Zbl 0546.65093 Transp. Theory Stat. Phys. 12, 251-269 (1983). MSC: 65R20 45K05 82D45 PDFBibTeX XMLCite \textit{E. del Valle-Gallegos}, Transp. Theory Stat. Phys. 12, 251--269 (1983; Zbl 0546.65093) Full Text: DOI