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Transport Theory and Statistical Physics

Short Title: Transp. Theory Stat. Phys.
Publisher: Taylor & Francis, Philadelphia, PA
ISSN: 0041-1450; 1532-2424/e
Online: http://www.tandfonline.com/loi/ltty20
Successor: Journal of Computational and Theoretical Transport
Comments: Journal; No longer indexed
Documents Indexed: 1,025 Publications (1971–2013)
References Indexed: 964 Publications with 16,258 References.
all top 5

Latest Issues

42, No. 6-7 (2013)
42, No. 4-5 (2013)
42, No. 2-3 (2013)
42, No. 1 (2013)
41, No. 7 (2012)
41, No. 5-6 (2012)
41, No. 3-4 (2012)
41, No. 1-2 (2012)
40, No. 6-7 (2011)
40, No. 5 (2011)
40, No. 1-4 (2011)
39, No. 5-7 (2010)
39, No. 2-4 (2010)
39, No. 1 (2010)
38, No. 7 (2009)
38, No. 6 (2009)
38, No. 5 (2009)
38, No. 4 (2009)
38, No. 3 (2009)
38, No. 1-2 (2009)
37, No. 5-7 (2008)
37, No. 2-4 (2008)
37, No. 1 (2008)
36, No. 7 (2007)
36, No. 4-6 (2007)
36, No. 1-3 (2007)
35, No. 5-7 (2006)
35, No. 3-4 (2006)
35, No. 1-2 (2006)
34, No. 7 (2005)
34, No. 6 (2005)
34, No. 3-5 (2005)
34, No. 1-2 (2005)
33, No. 5-7 (2005)
33, No. 3-4 (2004)
33, No. 2 (2004)
33, No. 1 (2004)
32, No. 5-7 (2003)
32, No. 3-4 (2003)
32, No. 2 (2003)
32, No. 1 (2003)
31, No. 7 (2002)
31, No. 4-6 (2002)
31, No. 3 (2002)
31, No. 2 (2002)
31, No. 1 (2002)
30, No. 7 (2001)
30, No. 4-6 (2001)
30, No. 2-3 (2001)
30, No. 1 (2001)
29, No. 7 (2000)
29, No. 6 (2000)
29, No. 3-5 (2000)
29, No. 1-2 (2000)
28, No. 7 (1999)
28, No. 6 (1999)
28, No. 5 (1999)
28, No. 4 (1999)
28, No. 3 (1999)
28, No. 2 (1999)
28, No. 1 (1999)
27, No. 5-7 (1998)
27, No. 3-4 (1998)
27, No. 2 (1998)
27, No. 1 (1998)
26, No. 7 (1997)
26, No. 6 (1997)
26, No. 4-5 (1997)
26, No. 3 (1997)
26, No. 1-2 (1997)
25, No. 7 (1996)
25, No. 6 (1996)
25, No. 3-5 (1996)
25, No. 2 (1996)
25, No. 1 (1996)
24, No. 9 (1995)
24, No. 6-8 (1995)
24, No. 4-5 (1995)
24, No. 1-3 (1995)
23, No. 7 (1994)
23, No. 6 (1994)
23, No. 5 (1994)
23, No. 4 (1994)
23, No. 1-3 (1994)
22, No. 6 (1993)
22, No. 5 (1993)
22, No. 4 (1993)
22, No. 2-3 (1993)
22, No. 1 (1993)
21, No. 4-6 (1992)
21, No. 3 (1992)
21, No. 1-2 (1992)
20, No. 5-6 (1991)
20, No. 4 (1991)
20, No. 2-3 (1991)
20, No. 1 (1991)
19, No. 6 (1990)
19, No. 3-5 (1990)
19, No. 2 (1990)
19, No. 1 (1990)
...and 26 more Volumes
all top 5

Authors

28 Zweifel, Paul F.
23 Cercignani, Carlo
23 Spiga, Giampiero
21 Larsen, Edward W.
19 Ganapol, Barry D.
16 Pomraning, Gerald C.
15 Illner, Reinhard
14 Van der Mee, Cornelis Victor Maria
13 Frosali, Giovanni
13 Sanchez, Richard
12 Banasiak, Jacek
12 Greenberg, William
12 Sahni, D. C.
12 Yang, Mingzhu
11 Kelley, Carl T.
11 Makai, Mihály
10 Pazsit, Imre
9 Boffi, Vinicio C.
9 Klar, Axel
9 McCormick, Norman J.
9 Song, Degong
8 Barletti, Luigi
8 Demeio, Lucio
8 Molinari, Vincenzo G.
8 Schürrer, Ferdinand
8 Totaro, Silvia
7 Borgioli, Giovanni
7 Boulanouar, Mohamed
7 Cornille, Henri
7 Degond, Pierre
7 Garcia, Roberto D. M.
7 Ravetto, Piero
7 Toscani, Giuseppe
6 Babovsky, Hans
6 Belleni-Morante, Aldo
6 Bourhrara, Lahbib
6 Dorning, John J.
6 Gabetta, Ester
6 Karlin, Iliya V.
6 Lampis, Maria
6 Lauro, Giuliana
6 Mika, Janusz R.
6 Monaco, Roberto
6 Pareschi, Lorenzo
6 Prinja, Anil K.
6 Rahnema, Farzad
6 Ribarič, Marjan
6 Rossani, Alberto
6 Sjöstrand, Nils Göran
6 Vilhena, Marco Tulio
5 Arlotti, Luisa
5 Asadzadeh, Mohammad Sina
5 Bobylev, Alexandre Vasiljévitch
5 Coppa, Gianni G. M.
5 de Barros, Ricardo C.
5 Germogenova, T. A.
5 Glassey, Robert Thomas
5 Gorban, Alexander N.
5 Kanal, Madhoo
5 Kuang, Zhifeng
5 Latrach, Khalid
5 Mas-Gallic, Sylvie
5 Mokhtar-Kharroubi, Mustapha
5 Palczewski, Andrzej
5 Pettersson, Rolf
5 Polewczak, Jacek
5 Sone, Yoshio
5 Sumini, M.
5 Zhu, Guangtian
4 Arkeryd, Leif O.
4 Arnold, Anton
4 Beauwens, Robert
4 Bellomo, Nicola
4 Bertrand, Pierre
4 Busoni, Giorgio
4 Caraffini, Gian Luca
4 de Oliveira, Cassiano R. E.
4 Densmore, Jeffery D.
4 Desvillettes, Laurent
4 Grünfeld, Cecil Pompiliu
4 Hennart, Jean-Pierre
4 Lachowicz, Mirosław
4 Lancellotti, Carlo
4 Lucquin-Desreux, Brigitte
4 Majorana, Armando
4 Markowich, Peter Alexander
4 Palmer, Todd S.
4 Płatkowski, Tadeusz
4 Premuda, Francesco
4 Protopopescu, Vladimir A.
4 Ringhofer, Christian A.
4 Schmeiser, Christian
4 Šušteršič, Luka
4 Thomas, J. R. jun.
4 Toomire, Bruce V.
4 Valougeorgis, Dimitris
4 Voloschenko, A. M.
4 Wang, Wenlong
4 Wennberg, Bernt
4 Wollman, Stephen
...and 854 more Authors
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Fields

742 Statistical mechanics, structure of matter (82-XX)
341 Fluid mechanics (76-XX)
293 Integral equations (45-XX)
233 Numerical analysis (65-XX)
180 Partial differential equations (35-XX)
65 Operator theory (47-XX)
62 Astronomy and astrophysics (85-XX)
49 Optics, electromagnetic theory (78-XX)
42 Probability theory and stochastic processes (60-XX)
29 General and overarching topics; collections (00-XX)
29 Quantum theory (81-XX)
28 Classical thermodynamics, heat transfer (80-XX)
17 Biology and other natural sciences (92-XX)
16 Ordinary differential equations (34-XX)
15 Calculus of variations and optimal control; optimization (49-XX)
12 History and biography (01-XX)
12 Geophysics (86-XX)
11 Operations research, mathematical programming (90-XX)
8 Dynamical systems and ergodic theory (37-XX)
8 Functional analysis (46-XX)
6 Integral transforms, operational calculus (44-XX)
6 Mechanics of deformable solids (74-XX)
6 Relativity and gravitational theory (83-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Mechanics of particles and systems (70-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Functions of a complex variable (30-XX)
3 Global analysis, analysis on manifolds (58-XX)
2 Real functions (26-XX)
2 Special functions (33-XX)
2 Difference and functional equations (39-XX)
2 Approximations and expansions (41-XX)
2 Systems theory; control (93-XX)
1 Combinatorics (05-XX)
1 Topological groups, Lie groups (22-XX)
1 Measure and integration (28-XX)
1 Abstract harmonic analysis (43-XX)
1 Statistics (62-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Publications by Year

Citations contained in zbMATH Open

651 Publications have been cited 4,225 times in 3,134 Documents Cited by Year
Invariant variation problems. Zbl 0292.49008
Noether, Emmy
200
1971
Kinetic models for gas-surface interactions. Zbl 0288.76041
Cercignani, C.; Lampis, M.
92
1971
On asymptotics of the Boltzmann equation when the collisions become grazing. Zbl 0769.76059
Desvillettes, L.
90
1992
Compressible Euler-Maxwell equations. Zbl 1019.82023
Chen, Gui-Qiang; Jerome, Joseph W.; Wang, Dehua
74
2000
Blowing up solutions of the Euler-Poisson equation for the evolution of gaseous stars. Zbl 0793.76069
Makino, Tetu
73
1992
A Fourier spectral method for homogeneous Boltzmann equations. Zbl 0870.76074
Pareschi, Lorenzo; Perthame, Benoit
71
1996
Analytical approaches to charge transport in a moving medium. Zbl 1032.35166
Jerome, Joseph W.
54
2002
A direct method for solving the Boltzmann equation. Zbl 0811.76050
Rogier, François; Schneider, Jacques
53
1994
On the Vlasov limit for systems of nonlinearly coupled oscillators without noise. Zbl 1206.82107
Lancellotti, Carlo
48
2005
Asymptotic stability of the relativistic Maxwellian via fourteen moments. Zbl 0882.35123
Glassey, R. T.; Strauss, W. A.
44
1995
A comparison of moment closures for linear kinetic transport equations: the line source benchmark. Zbl 1302.82088
Garrett, C. Kristopher; Hauck, Cory D.
42
2013
Numerical methods and optimal control for glass cooling processes. Zbl 1011.80003
Thömmes, G.; Pinnau, R.; Seaïd, M.; Götz, Th.; Klar, A.
38
2002
Linear analysis and solution of neutron transport problems. Zbl 0363.45010
Hangelbroek, R. J.
38
1976
A discrete-velocity scheme for the Boltzmann operator of rarefied gas dynamics. Zbl 0857.76079
Buet, C.
37
1996
Time decay for solutions to the linearized Vlasov equation. Zbl 0819.35114
Glassey, Robert; Schaeffer, Jack
35
1994
Steady gas flows past bodies at small Knudsen numbers. Boltzmann and hydrodynamic systems. Zbl 0622.76082
Sone, Yoshio; Aoki, Kazuo
33
1987
A fast-forward solver of radiative transfer equation. Zbl 1187.78028
Gao, Hao; Zhao, Hongkai
32
2009
Discontinuity of the velocity distribution function in a rarefied gas around a convex body and the \(S\) layer at the bottom of the Knudsen layer. Zbl 0793.76078
Sone, Yoshio; Takata, Shigeru
31
1992
Kinetic equations modelling population dynamics. Zbl 0946.92019
Arlotti, L.; Bellomo, N.; Lachowicz, M.
31
2000
The discrete-ordinate method in diffusive regimes. Zbl 0760.65125
Jin, Shi; Levermore, David
31
1991
A kinetic model of vehicular traffic and its associated bimodal equilibrium solutions. Zbl 0817.90028
Nelson, Paul
30
1995
On the Boltzmann equation for rigid spheres. Zbl 0295.76048
Cercignani, Carlo
30
1972
Mathematical concepts of open quantum boundary conditions. Zbl 1019.81010
Arnold, Anton
29
2001
On the derivatives of the collision map of relativistic particles. Zbl 0793.45008
Glassey, Robert T.; Strauss, Walter A.
29
1991
Regularization properties of the 2-dimensional non radially symmetric non cutoff spatially homogeneous Boltzmann equation for Maxwellian molecules. Zbl 0901.76072
Desvillettes, Laurent
29
1997
Spectral velocity discretizations for the Vlasov-Maxwell equations. Zbl 0864.76101
Holloway, James Paul
29
1996
The ghost effect in the continuum limit for a vapor-gas mixture around condensed phases: asymptotic analysis of the Boltzmann equation. Zbl 1106.82359
Takata, Shigeru; Aoki, Kazuo
29
2001
Existence and uniqueness of solutions of nonlinear systems of conductive-radiative heat transfer equations. Zbl 0857.45009
Kelley, C. T.
28
1996
On large time asymptotics for drift-diffusion-Poisson systems. Zbl 1017.82041
Arnold, Anton; Markowich, Peter; Toscani, Giuseppe
28
2000
Fully-discrete numerical transfer in diffusive regimes. Zbl 0818.65141
Jin, Shi; Levermore, C. David
28
1993
A consistent, moment-based, multiscale solution approach for thermal radiative transfer problems. Zbl 1278.82051
Park, H.; Knoll, D. A.; Rauenzahn, R. M.; Wollaber, A. B.; Densmore, J. D.
28
2012
On substochastic \(C_ 0\)-semigroups and their generators. Zbl 0634.47040
Voigt, Jürgen
27
1987
Compactness properties for linear transport operators with abstract boundary conditions in slab geometry. Zbl 0774.45006
Latrach, Khalid
27
1993
Existence of solutions and diffusion approximation for a model Fokker- Planck equation. Zbl 0649.76065
Degond, Pierre; Mas-Gallic, Sylvie
25
1987
Space homogeneous solutions of the Boltzmann equation describing electron-phonon interactions in semiconductors. Zbl 0800.76399
Majorana, A.
25
1991
Stationary solutions of the BGK model equation on a finite interval with large boundary data. Zbl 0791.76076
Ukai, Seiji
24
1992
On the stability of spectral methods for the homogeneous Boltzmann equation. Zbl 1019.82016
Pareschi, Lorenzo; Russo, Giovanni
24
2000
Transport coefficients of plasmas and disparate mass binary gases. Zbl 0909.35108
Degond, Pierre; Lucquin-Desreux, Brigitte
24
1996
Closure conditions for classical and quantum moment hierarchies in the small-temperature limit. Zbl 0871.76078
Gasser, Ingenuin; Markowich, Peter A.; Ringhofer, Christian A.
24
1996
Global existence and large-time behavior for BGK model for a gas with non-constant cross section. Zbl 1057.82011
Bellouquid, A.
23
2003
Population dynamics with stochastic interaction. Zbl 0838.92018
Arlotti, L.; Bellomo, N.
21
1995
A spectral mapping theorem for the exponential function in linear transport theory. Zbl 0613.45014
Takac, Peter
21
1985
Existence of solutions to coagulation-fragmentation systems with diffusion. Zbl 0870.35117
Collet, J. F.; Poupaud, F.
20
1996
The Wigner transform and the Wigner-Poisson system. Zbl 0785.35102
Zweifel, P. F.
20
1993
Iterative solution for a certain class of algebraic matrix Riccati equations arising in transport theory. Zbl 0774.65020
Juang, Jonq; Chen, I-Der
19
1993
On moments and uniqueness for solutions to the space homogeneous Boltzmann equation. Zbl 0812.76080
Wennberg, Bernt
19
1994
Noether’s theorem. Zbl 0291.49035
Tavel, M. A.
19
1971
Low and high field scaling limits for the Vlasov- and Wigner-Poisson-Fokker-Planck systems. Zbl 1106.82381
Arnold, A.; Carrillo, J. A.; Gamba, I.; Shu, C.-W.
19
2001
Theoretical aspects of the simplified \(P_{n}\) equations. Zbl 1213.82079
McClarren, Ryan G.
19
2010
Benchmark results in radiative transfer. Zbl 0624.65143
Garcia, R. D. M.; Siewert, C. E.
19
1985
Analytic solution of the temperature jump problem for the BGK model. Zbl 0376.76055
Cercignani, Carlo
18
1977
Asymptotic preserving Monte Carlo methods for the Boltzmann equation. Zbl 1028.82019
Pareschi, Lorenzo; Russo, Giovanni
18
2000
Spectral properties of the space nonhomogeneous linearized Boltzmann operator. Zbl 0585.47023
Palczewski, Andrzej
18
1984
On the number of collisions in a hard sphere particle system in all space. Zbl 0723.58031
Illner, Reinhard
18
1989
On the Enskog equation in two space variables. Zbl 0633.76076
Arkeryd, Leif
17
1986
Kinetic theoretical studies of the half-space problem of evaporation and condensation. Zbl 1112.82321
Sone, Yoshio
17
2000
Kinetic theory analysis of gas flows condensing on a plane condensed phase: Case of a mixture of a vapor and a noncondensable gas. Zbl 0818.76087
Sone, Yoshio; Aoki, Kazuo; Doi, Toshiyuki
17
1992
Subcell balance methods for radiative transfer on arbitrary grids. Zbl 0906.65136
Adams, Marvin L.
17
1997
Hamiltonian description of Vlasov dynamics: Action-angle variables for the continuous spectrum. Zbl 1019.82022
Morrison, Philip J.
17
2000
On the initial value problem for the Boltzmann equation with a force term. Zbl 0699.35237
Bellomo, N.; Lachowicz, M.; Palczewski, A.; Toscani, G.
17
1989
Existence of global solutions for the space inhomogeneous Enskog equation. Zbl 0629.76083
Cercignani, Carlo
16
1987
Lagrangian theory for 3D vortex sheets with axial or helical symmetry. Zbl 0792.76009
Caflisch, Russel E.; Li, Xiao-Fan
16
1992
Local existence of classical solutions to the Landau equations. Zbl 0810.35095
Zhan, Mei-Qin
16
1994
How to build up variable transformations allowing one to map nonlinear hyperbolic equations into autonomous or linear ones. Zbl 0871.35004
Donato, Andrea; Olivieri, Francesco
16
1996
A kinetic model for vehicular traffic derived from a stochastic microscopic model. Zbl 1467.82077
Wegener, R.; Klar, A.
16
1996
A review on the quantum drift diffusion model. Zbl 1009.82023
Pinnau, René
15
2002
Method of invariant manifolds and regularization of acoustic spectra. Zbl 0812.76077
Gorban, Alexander N.; Karlin, Iliya V.
15
1994
Transition from kinetic theory to macroscopic fluid equations: A problem for domain decomposition and a source for new algorithms. Zbl 0956.82023
Klar, A.; Neunzert, H.; Struckmeier, J.
15
2000
Angular quadratures for improved transport computations. Zbl 1106.82375
Abu-Shumays, I. K.
15
2001
Decay of the linearized Boltzmann-Vlasov system. Zbl 0983.82018
Glassey, Robert T.; Strauss, Walter A.
15
1999
Convergence of an iterative technique for algebraic matrix Riccati equations and applications to transport theory. Zbl 0759.65022
Juang, Jonq; Lin, Zong Tsang
15
1992
A deterministic particle method for the linearized Boltzmann equation. Zbl 0658.76075
Mas-Gallic, Sylvie
14
1987
Entropy-based moment closures for kinetic equations. Zbl 0906.60091
Levermore, C. David
14
1997
Time asymptotic behaviour for linear transport equations with abstract boundary conditions in slab geometry. Zbl 0816.45008
Latrach, Khalid
14
1994
Plane Poiseuille flow with symmetric and nonsymmetric gas-wall interactions. Zbl 1076.82041
Cercignani, Carlo; Lampis, Maria; Lorenzani, Silvia
14
2005
On the Cauchy problem for the relativistic Boltzmann equation in a periodic box: Global existence. Zbl 0964.76080
Jiang, Zhenglu
14
1999
Numerical solution of the Boltzmann equation using a fully conservative difference scheme based on the fast Fourier transform. Zbl 1017.82042
Bobylev, A. V.; Rjasanow, S.
14
2000
Regularization for the non-cutoff 2D radially symmetric Boltzmann equation with a velocity dependent cross section. Zbl 0871.76077
Desvillettes, Laurent
14
1996
Optimal control of glass cooling using simplified \(P_N\) theory. Zbl 1213.82074
Frank, Martin; Klar, Axel; Pinnau, René
14
2010
Brownian motion of charged particles driven by correlated noise in magnetic field. Zbl 1303.82026
Lisy, Vladimir; Tothova, Jana
14
2013
Methods for solving inverse problems for radiation transport - an update. Zbl 0619.35107
McCormick, N. J.
14
1986
The Milne problem with a force term. Zbl 0899.76319
Cercignani, C.; Marra, R.; Esposito, R.
13
1998
Wiener-Hopf factorizations. Zbl 0331.45008
Mullikin, T. W.
13
1975
Adaptive wavelet collocation method for the solution of Burgers equation. Zbl 0868.65071
Bertoluzza, Silvia
13
1996
Structure and approximations of the Chapman-Enskog expansion for the linearized Grad equations. Zbl 0756.76066
Gorban, Alexander N.; Karlin, Iliya V.
13
1992
Existence, uniqueness and asymptotic behavior of Wigner-Poisson and Vlasov-Poisson systems: A survey. Zbl 0913.35114
Illner, R.
12
1997
On simulation methods for the Boltzmann equation. Zbl 0623.76084
Illner, Reinhard; Neunzert, Helmut
12
1987
Rigorous asymptotic and moment-preserving diffusion approximations for generalized linear Boltzmann transport in arbitrary dimension. Zbl 1305.82055
d’Eon, Eugene
12
2013
Simulation of radiation transport in a channel based on the quasi-diffusion method. Zbl 1156.82385
Aristova, E. N.
11
2008
Solution of three dimensional inverse transport problems. Zbl 0653.45006
Larsen, Edward W.
11
1988
A generalized transport equation. Zbl 0527.47033
Zweifel, P. F.
11
1982
Nonlinear methods for solving particle transport problems. Zbl 0786.65117
Anistratov, Dmitri Yu.; Gol’din, Vladimir Ya.
11
1993
Velocity inductive construction for mixtures. Zbl 0954.35139
Vedenyapin, Victor V.
11
1999
Asymptotic stability of the spherically symmetric solutions for a viscous polytropic gas in a field of external forces. Zbl 0998.76075
Yanagi, Shigenori
11
2002
Computation of the asymptotic states for linear half space kinetic problems. Zbl 0708.65130
Coron, F.
11
1990
A review of the facile \((F_ N)\) method in particle transport theory. Zbl 0624.65142
Garcia, R. D. M.
11
1985
On the asymptotic equivalence of the Fokker-Planck and diffusion equations. Zbl 0526.60071
Beals, R.; Protopopescu, V.
10
1983
Some notes on the spectral properties of \(C_0\) semigroups generated by linear transport operators. Zbl 0915.47030
Song, Degong
10
1997
On the thermodynamics of a discrete velocity gas. Zbl 0811.76078
Cercignani, Carlo
10
1994
A conservative and entropy scheme for a simplified model of granular media. Zbl 1127.82324
Buet, C.; Cordier, S.; Dos Santos, V.
10
2004
A comparison of moment closures for linear kinetic transport equations: the line source benchmark. Zbl 1302.82088
Garrett, C. Kristopher; Hauck, Cory D.
42
2013
Brownian motion of charged particles driven by correlated noise in magnetic field. Zbl 1303.82026
Lisy, Vladimir; Tothova, Jana
14
2013
Rigorous asymptotic and moment-preserving diffusion approximations for generalized linear Boltzmann transport in arbitrary dimension. Zbl 1305.82055
d’Eon, Eugene
12
2013
Existence and stability results for second-order stochastic equations driven by fractional Brownian motion. Zbl 1302.82082
Revathi, P.; Sakthivel, R.; Song, D.-Y.; Ren, Yong; Zhang, Pei
10
2013
Lattice phonon and electron temperatures in silicon-aluminum thin films pair: comparison of Boltzmann equation and modified two-equation model. Zbl 1303.82033
Yilbas, B. S.; Mansoor, S. Bin
3
2013
On a mathematical model with noncompact boundary conditions describing bacterial population. Zbl 1302.82142
Boulanouar, Mohamed
3
2013
New finite element method for solving a wave equation with a nonlocal conservation condition. Zbl 1302.82007
Rostamy, D.; Zabihi, F.; Niroomand, A.; Mollazeynal, A.
2
2013
Influence of heat source size on phonon transport in thin silicon film. Zbl 1302.82102
Yilbas, Bekir Sami; Mansoor, Saad Bin
2
2013
Spatial moments of continuous transport problems computed on grids: time-dependent problems. Zbl 1302.82096
Densmore, Jeffery D.
2
2013
Asymptotic \(P_N\)-equivalent \(S_{N+1}\) equations. Zbl 1302.82100
Morel, J. E.; Ragusa, J. C.; Adams, M. L.; Kanschat, G.
1
2013
Phonon transport in silicon thin film: effect of temperature oscillation on effective thermal conductivity. Zbl 1302.82099
Mansoor, Saad Bin; Yilbas, Bekir Sami
1
2013
A consistent, moment-based, multiscale solution approach for thermal radiative transfer problems. Zbl 1278.82051
Park, H.; Knoll, D. A.; Rauenzahn, R. M.; Wollaber, A. B.; Densmore, J. D.
28
2012
Angular multigrid preconditioner for Krylov-based solution techniques applied to the \(S_n\) equations with highly forward-peaked scattering. Zbl 1273.82069
Turcksin, Bruno; Ragusa, Jean C.; Morel, Jim E.
7
2012
Domain decomposition for the \(SP_N\) solver MINOS. Zbl 1273.82081
Jamelot, Erell; Baudron, Anne-Marie; Lautard, Jean-Jacques
5
2012
The asymptotic telegrapher’s equation (\(P_1\)) approximation for time-dependent, thermal radiative transfer. Zbl 1268.82034
Heizler, Shay I.
4
2012
\(SP_2\)-asymptotic \(P_1\) equivalence. Zbl 1273.82080
Heizler, Shay I.; Ravetto, Piero
3
2012
Analytic treatment of source photon emission times to reduce noise in implicit Monte Carlo calculations. Zbl 1268.82037
Trahan, Travis J.; Gentile, Nicholas A.
2
2012
Spatial moments of continuous transport problems computed on grids. Zbl 1288.82054
Densmore, Jeffery D.
2
2012
Kenneth Case and his singular “eigenfunctions”. Zbl 1268.82038
Zweifel, P. F.
2
2012
Spherical harmonics and a semidiscrete finite element approximation for the transport equation. Zbl 1273.82062
Asadzadeh, Mohammad; Gebäck, Tobias
1
2012
Quantum corrections on the radiative transfer equation. Zbl 1273.82066
Rosato, J.
1
2012
On radiative transfer in dense vegetation canopies. Zbl 1268.82036
Picca, Paolo; Furfaro, Roberto; Ganapol, Barry D.
1
2012
Analytical solutions for the pencil-beam equation with energy loss and straggling. Zbl 1273.82064
Gebäck, Tobias; Asadzadeh, Mohammad
1
2012
Kinetic equations for Stark line shapes. Zbl 1273.82067
Rosato, J.; Capes, H.; Marandet, Y.; Mekkaoui, A.; Stamm, R.
1
2012
On SN-PN equivalence. Zbl 1273.82068
Sanchez, Richard
1
2012
Eigenvalues of the anisotropic transport equation in a slab. Zbl 1276.82058
Sauter, E.; de Azevedo, F. S.; Thompson, M.; Vilhena, M. T.
1
2012
Diffusive limits for a quantum transport model with a strong field. Zbl 1278.82066
Barletti, Luigi; Frosali, Giovanni
1
2012
Monte Carlo method for solving the Fredholm integral equations of the second kind. Zbl 1273.65196
Hong, ZhiMin; Yan, Zaizai; Chen, Jianrui
1
2012
Diffusion limit of a small mean free path of radiative transfer equations with absorbing boundary condition. Zbl 1276.82056
Guo, Boling; Han, Yongqian
1
2012
New results in abstract time-dependent transport equations. Zbl 1241.82070
Boulanouar, M.
6
2011
Scaling with system size of the Lyapunov exponents for the Hamiltonian mean field model. Zbl 1257.82032
Manos, Thanos; Ruffo, Stefano
5
2011
Diffusion limit of small mean free path of transfer equation in \(\mathbb{R}^3\). Zbl 1259.82100
Guo, Boling; Han, Yongqian
4
2011
Optimal \(\mathcal L_\beta\)-control for the global Cauchy problem of the relativistic Vlasov-Poisson system. Zbl 1459.35354
Young, Brent
3
2011
Landau and non-Landau linear damping: physics of the dissipation. Zbl 1257.82101
Belmont, Gérard; Chust, Thomas; Mottez, Fabrice; Hess, Sebastien
2
2011
Solvability of a two dimensional coefficient inverse problem for transport equation and a numerical method. Zbl 1276.82052
Amirov, Arif; Ustaoglu, Zekeriya; Heydarov, Bayram
1
2011
Existence result for the kinetic neutron transport problem with a general Albedo boundary condition. Zbl 1245.82093
Sanchez, Richard; Bourhrara, Lahbib
1
2011
A heterogeneous coarse mesh method for coupled photon electron transport problems. Zbl 1245.82005
Zhang, Dingkang; Rahnema, Farzad
1
2011
Theoretical aspects of the simplified \(P_{n}\) equations. Zbl 1213.82079
McClarren, Ryan G.
19
2010
Optimal control of glass cooling using simplified \(P_N\) theory. Zbl 1213.82074
Frank, Martin; Klar, Axel; Pinnau, René
14
2010
Numerical simulations of the Fourier-transformed Vlasov-Maxwell system in higher dimensions – theory and applications. Zbl 1219.82138
Eliasson, Bengt
10
2010
Application of \(h\)-, \(p\)-, and \(hp\)-mesh adaptation techniques to the \(SP_3\) equations. Zbl 1213.82002
Ragusa, Jean C.
4
2010
On Krein-like theorems for noncanonical Hamiltonian systems with continuous spectra: application to Vlasov-Poisson. Zbl 1220.82008
Hagstrom, George I.; Morrison, Philip J.
3
2010
Moment analysis of angular approximation methods for time-dependent radiation transport. Zbl 1215.82040
Densmore, Jeffery D.; McClarren, Ryan G.
3
2010
Spin kinetic theory-quantum kinetic theory in extended phase space. Zbl 1219.82109
Marklund, Mattias; Zamanian, Jens; Brodin, Gert
2
2010
Modification of the decision-making capability in the social force model for the evacuation process. Zbl 1210.91116
Zainuddin, Zarita; Shuaib, Mohammed
2
2010
Asymptotic diffusion and simplified \(P_N\) approximations for diffusive and deep penetration problems. I: Theory. Zbl 1213.82077
Larsen, Edward W.
2
2010
On a class of mean field solutions of the Monge problem for perfect and self-interacting systems. Zbl 1222.82038
Choquard, Philippe
1
2010
Mixed variational formulation and mixed-hybrid discretization of the transport equation. Zbl 1214.82094
Cartier, J.; Peybernes, M.
1
2010
Parallel \(SP_N\) on multi-core CPUS and many-core GPUS. Zbl 1221.82003
Kirschenmann, W.; Plagne, L.; Ponçot, A.; Vialle, S.
1
2010
A fast-forward solver of radiative transfer equation. Zbl 1187.78028
Gao, Hao; Zhao, Hongkai
32
2009
New trace theorems for neutronic function spaces. Zbl 1180.82155
Boulanouar, Mohamed
7
2009
Some applications of a spectral representation of the linear multigroup transport problem. Zbl 1184.82021
Shulaia, D.
2
2009
Expansion of solution in terms of generalized eigenvectors for a rectilinear transport equation. Zbl 1182.82022
Charfi, Salma; Intissar, Abdelkader; Jeribi, Aref
1
2009
Nonlinear Landau damping. Zbl 1177.82108
Lancellotti, C.; Dorning, J. J.
1
2009
\(W^N\) approximations of neutron transport equation. Zbl 1180.82244
Bourhrara, L.
1
2009
Some benchmark results in spherical media radiative transfer problems. Zbl 1180.82166
Yilmazer, Ayhan; Kocar, Cemil
1
2009
Simulation of radiation transport in a channel based on the quasi-diffusion method. Zbl 1156.82385
Aristova, E. N.
11
2008
A finite volume scheme for diffusion equations on distorted quadrilateral meshes. Zbl 1375.82100
Sheng, Zhiqiang; Yuan, Guangwei
8
2008
Solution of the Boltzmann kinetic equation for low speed flows. Zbl 1156.82382
Tcheremissine, F. G.
5
2008
Deterministic and stochastic methods for nonlinear Landau-Fokker-Planck kinetic equations with applications to plasma physics. Zbl 1165.82021
Potapenko, I. F.; Bobylev, A. V.; Mossberg, E.
5
2008
Existence theory for radiative flows. Zbl 1156.80371
Thompson, M.; de Vilhena, M. T.; Bodmann, B. E. J.
5
2008
Comparison of the efficiency of the transport equation calculation methods in characteristics variables. Zbl 1156.82421
Baydin, D. F.; Aristova, E. N.; Gol’din, V. Ya.
4
2008
A Wigner-function approach to interband transitions based on the multiband-envelope-function model. Zbl 1156.82390
Morandi, O.; Demeio, L.
4
2008
Transport of neutral particles in a finite continuous stochastic medium with Gaussian statistics. Zbl 1156.82024
Selim, M. M.; Sallah, M.
4
2008
A derivation of quantum kinetic equation from Bohm potential. Zbl 1156.82381
Mostacci, D.; Molinari, V.; Pizzio, F.
3
2008
The two-direction neutral-particle transport model: A useful tool for research and education. Zbl 1156.82015
Hoogenboom, J. E.
3
2008
On the spectrum of absorption operators with Maxwell boundary conditions arising in population dynamics and transport theory. A unified treatment. Zbl 1214.82136
Lods, Bertrand
3
2008
Computing analysis and optimization of neutron beam for tumor therapy. Zbl 1156.82422
Korobeynikov, A.; Ginkin, V.
1
2008
Georeactor in the earth. Zbl 1156.82419
Anisichkin, Vladimir F.; Bezborodov, Alexander A.; Suslov, Igor R.
1
2008
Methods of iterations on subdomains for neutron transport theory problems. Zbl 1156.82418
Abramov, B. D.
1
2008
The asymptotic behavior for the transport operator in slab geometry. Zbl 1214.82093
Boulanouar, M.
1
2008
Hybrid Burnett equations: A new method of stabilizing. Zbl 1183.82070
Söderholm, L. H.
7
2007
Formulation and stability analysis of rapidly convergent iteration schemes for the 2-D linearized BGK equation. Zbl 1183.82059
Lihnaropoulos, J.; Naris, S.; Valougeorgis, D.
7
2007
Global existence and increased spatial decay for the radial Vlasov-Poisson system with steady spatial asymptotics. Zbl 1150.82025
Pankavich, S.
6
2007
Nonlinear weighted flux methods for particle transport problems. Zbl 1150.82021
Roberts, L.; Anistratov, D. Y.
5
2007
Kinetic-type models with diffusion: conservative and nonconservative solutions. Zbl 1147.82344
Banasiak, J.
4
2007
A quantum kinetic approach for modeling a two-band resonant tunneling diode. Zbl 1147.82355
Frosali, G.; Morandi, O.
4
2007
On the depth of the trees in the McKean representation of Wild’s sums. Zbl 1183.82053
Bassetti, F.; Gabetta, E.; Regazzini, E.
3
2007
Properties of the collision integral in the axisymmetric Boltzmann equation. Zbl 1143.82322
Ender, A. Ya.; Ender, I. A.
3
2007
On the Reynolds equation for linearized models of the Boltzmann operator. Zbl 1136.82018
Cercignani, C.; Lampis, M.; Lorenzani, S.
2
2007
Dilute granular flows in a medium. Zbl 1206.82086
Bisi, M.; Spiga, G.
2
2007
Calculating the discrete spectrum of the transport operator with arbitrary order anisotropic scattering. Zbl 1130.82034
Van den Eynde, G.; Beauwens, R.; Mund, E.
2
2007
The improved prompt jump approximation. Zbl 1208.82087
Beauwens, R.; Mika, J.
2
2007
On BGK approximation for reactive and nonreactive flows. Zbl 1183.82054
Caraffini, G. L.; Groppi, M.; Spiga, G.
1
2007
Spectral theory for photon transport in dense vegetation media: caseology for the canopy equation. Zbl 1206.82089
Furfaro, R.; Ganapol, B. D.
1
2007
Quantum corrections to classical BGk modes in phase space. Zbl 1208.82045
Demeio, L.
1
2007
Convergence to equilibrium for the linearized cometary flow equation. Zbl 1129.82036
Fellner, Klemens; Miljanović, Vera; Schmeiser, Christian
7
2006
Qualitative properties of solutions to systems of Fokker-Planck equations for multilane traffic flow. Zbl 1107.82041
Herty, M.; Illner, R.; Klar, A.; Panferov, V.
4
2006
\(H^{1}\) approximations of the neutron transport equation and associated diffusion equations. Zbl 1125.82033
Bourhrara, L.
3
2006
Existence result for the kinetic neutron transport problem in the presence of delayed neutrons. Zbl 1125.82034
Bourhrara, Lahbib; Sanchez, Richard
3
2006
The incident flux response expansion method for heterogeneous coarse mesh transport problems. Zbl 1107.82059
Mosher, Scott W.; Rahnema, Farzad
2
2006
Spectral properties of the neutron transport equation for spherical geometry in the setting of \(L^1\). Zbl 1108.82054
Song, Degong; Greenberg, William
1
2006
The criticality eigenvalue problem for the transport operator with general boundary conditions. Zbl 1118.82055
Sanchez, Richard
1
2006
A semi-analytic solution to the time-dependent half-space linear Boltzmann equation. Zbl 1129.82033
Meylan, Michael H.
1
2006
On the Vlasov limit for systems of nonlinearly coupled oscillators without noise. Zbl 1206.82107
Lancellotti, Carlo
48
2005
Plane Poiseuille flow with symmetric and nonsymmetric gas-wall interactions. Zbl 1076.82041
Cercignani, Carlo; Lampis, Maria; Lorenzani, Silvia
14
2005
Vlasov and drift kinetic simulation methods based on the symplectic integrator. Zbl 1101.82037
Watanabe, T.-H.; Sugama, H.
8
2005
On solutions to the linear Boltzmann equation for granular gases. Zbl 1076.82043
Pettersson, Rolf
8
2005
On the master-equation approach to kinetic theory: linear and nonlinear Fokker-Planck equations. Zbl 1072.82024
Kiessling, Michael; Lancellotti, Carlo
6
2005
Semi-Lagrangian schemes for the two-dimensional Vlasov-Poisson system on unstructured meshes. Zbl 1109.82002
Besse, Nicolas; Segré, Jacques; Sonnendrücker, Eric
5
2005
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Cited by 3,380 Authors

37 Aoki, Kazuo
35 Degond, Pierre
32 Ha, Seung-Yeal
31 Zweifel, Paul F.
29 Klar, Axel
29 Latrach, Khalid
28 Wang, Shu
27 Takata, Shigeru
27 Van der Mee, Cornelis Victor Maria
27 Yun, Seok-Bae
26 Cercignani, Carlo
24 Banasiak, Jacek
23 Pareschi, Lorenzo
22 Carrillo de la Plata, José Antonio
22 Jin, Shi
22 Yang, Tong
22 Zhang, Xianwen
21 Chebotarev, Alexander Yurievich
21 Yuen, Manwai
20 Bellomo, Nicola
19 Martínez Gamba, Irene
19 Lachowicz, Mirosław
19 Mokhtar-Kharroubi, Mustapha
18 Hauck, Cory D.
18 Sone, Yoshio
18 Spiga, Giampiero
17 Desvillettes, Laurent
17 Golse, François
17 Guo, Yan
17 McClarren, Ryan G.
17 Mouhot, Clément
17 Seaïd, Mohammed
16 Filbet, Francis
16 Illner, Reinhard
15 Anistratov, Dmitriy Y.
15 Bobylev, Alexandre Vasiljévitch
15 Duan, Renjun
15 Jeribi, Aref
15 Lods, Bertrand
15 Pinnau, René
15 Xu, Kun
14 Arlotti, Luisa
14 Bisi, Marzia
14 Frank, Martin
14 Greenberg, William
14 Kelley, Carl T.
14 Kovtanyuk, Andrey Egorovich
14 Larsen, Edward W.
14 Siewert, Charles E.
14 Strain, Robert M.
13 Chacón, Luis
13 Hu, Jingwei
13 Jüngel, Ansgar
13 Oliveri, Francesco
13 Sharipov, Felix M.
13 Wang, Yanli
13 Wu, Lei
12 Asadzadeh, Mohammad Sina
12 Brull, Stephane
12 Feng, Yuehong
12 Mieussens, Luc
12 Peng, Yuejun
12 Taguchi, Satoshi
12 Yu, Hongjun
11 Aristova, E. N.
11 Boulanouar, Mohamed
11 Cai, Zhenning
11 Després, Bruno
11 Jang, Jin Woo
11 Mischler, Stéphane
11 Morimoto, Yoshinori
11 Ragusa, Jean C.
11 Schneider, Florian H.
11 Sun, Wenjun
11 Toscani, Giuseppe
11 Yang, Jianwei
10 Babovsky, Hans
10 Buet, Christophe
10 Garcia, Roberto D. M.
10 Herty, Michael Matthias
10 Masmoudi, Nader
10 Pomraning, Gerald C.
10 Rey, Thomas
10 Soler, Juan S.
10 Taitano, William T.
10 Wang, Li
10 Xu, Chao-Jiang
10 Zhang, Yonghao
10 Zhao, Jihong
9 Alexandre, Radjesvarane
9 Barletti, Luigi
9 Bedrossian, Jacob
9 Borsche, Raul
9 Botkin, Nikolai D.
9 Cornille, Henri
9 Frosali, Giovanni
9 Ganapol, Barry D.
9 Groppi, Maria
9 Jiang, Song
9 Lange, Horst
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Cited in 373 Journals

300 Transport Theory and Statistical Physics
289 Journal of Computational Physics
129 Journal of Statistical Physics
114 Journal of Mathematical Physics
85 Journal of Mathematical Analysis and Applications
72 Journal of Computational and Theoretical Transport
71 Journal of Differential Equations
64 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
61 Archive for Rational Mechanics and Analysis
52 Physics of Fluids
52 Kinetic and Related Models
47 Communications in Mathematical Physics
47 Mathematical Methods in the Applied Sciences
43 Computers & Mathematics with Applications
38 Journal of Computational and Applied Mathematics
36 ZAMP. Zeitschrift für angewandte Mathematik und Physik
36 Mathematical and Computer Modelling
34 SIAM Journal on Mathematical Analysis
32 Applied Mathematics and Computation
32 Journal of Scientific Computing
31 Physica A
28 European Journal of Mechanics. B. Fluids
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25 Computer Physics Communications
25 Journal of Fluid Mechanics
25 SIAM Journal on Scientific Computing
24 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
23 Applied Mathematics Letters
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22 Acta Applicandae Mathematicae
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14 SIAM Journal on Numerical Analysis
14 Comptes Rendus. Mathématique. Académie des Sciences, Paris
14 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
13 Classical and Quantum Gravity
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13 Mathematics of Computation
13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
12 Communications on Pure and Applied Mathematics
12 Multiscale Modeling & Simulation
11 Applied Numerical Mathematics
11 Journal de Mathématiques Pures et Appliquées. Neuvième Série
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8 Annali di Matematica Pura ed Applicata. Serie Quarta
8 RAIRO. Modélisation Mathématique et Analyse Numérique
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8 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
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7 Meccanica
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7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 Mathematical Problems in Engineering
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6 Fluid Dynamics
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6 Chaos, Solitons and Fractals
6 Monatshefte für Mathematik
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6 Abstract and Applied Analysis
6 Annales Henri Poincaré
6 Mediterranean Journal of Mathematics
6 Waves in Random and Complex Media
6 Séminaire Laurent Schwartz. EDP et Applications
5 Theoretical and Mathematical Physics
5 Rendiconti del Seminario Matemàtico e Fisico di Milano
5 Chinese Annals of Mathematics. Series B
5 Numerical Methods for Partial Differential Equations
5 Bulletin of the American Mathematical Society. New Series
5 Calculus of Variations and Partial Differential Equations
5 Journal of Mathematical Sciences (New York)
5 Computational and Applied Mathematics
5 Chaos
5 Acta Mathematica Scientia. Series B. (English Edition)
5 Journal of Hyperbolic Differential Equations
5 Advances in Mathematical Physics
5 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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