## 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: 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 Klar, Axel 10 Pazsit, Imre 9 Boffi, Vinicio C. 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 T. 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
all top 5

### 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)

### Citations contained in zbMATH Open

629 Publications have been cited 3,558 times in 2,618 Documents Cited by Year
Invariant variation problems. Zbl 0292.49008
Noether, Emmy
1971
Kinetic models for gas-surface interactions. Zbl 0288.76041
Cercignani, C.; Lampis, M.
1971
On asymptotics of the Boltzmann equation when the collisions become grazing. Zbl 0769.76059
Desvillettes, L.
1992
Compressible Euler-Maxwell equations. Zbl 1019.82023
Chen, Gui-Qiang; Jerome, Joseph W.; Wang, Dehua
2000
A Fourier spectral method for homogeneous Boltzmann equations. Zbl 0870.76074
Pareschi, Lorenzo; Perthame, Benoit
1996
Blowing up solutions of the Euler-Poisson equation for the evolution of gaseous stars. Zbl 0793.76069
Makino, Tetu
1992
A direct method for solving the Boltzmann equation. Zbl 0811.76050
Rogier, François; Schneider, Jacques
1994
Analytical approaches to charge transport in a moving medium. Zbl 1032.35166
Jerome, Joseph W.
2002
Asymptotic stability of the relativistic Maxwellian via fourteen moments. Zbl 0882.35123
Glassey, R. T.; Strauss, W. A.
1995
Linear analysis and solution of neutron transport problems. Zbl 0363.45010
Hangelbroek, R. J.
1976
On the Vlasov limit for systems of nonlinearly coupled oscillators without noise. Zbl 1206.82107
Lancellotti, Carlo
2005
A discrete-velocity scheme for the Boltzmann operator of rarefied gas dynamics. Zbl 0857.76079
Buet, C.
1996
Numerical methods and optimal control for glass cooling processes. Zbl 1011.80003
Thömmes, G.; Pinnau, R.; Seaïd, M.; Götz, Th.; Klar, A.
2002
A comparison of moment closures for linear kinetic transport equations: the line source benchmark. Zbl 1302.82088
Garrett, C. Kristopher; Hauck, Cory D.
2013
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
1992
The discrete-ordinate method in diffusive regimes. Zbl 0760.65125
Jin, Shi; Levermore, David
1991
A fast-forward solver of radiative transfer equation. Zbl 1187.78028
Gao, Hao; Zhao, Hongkai
2009
Existence and uniqueness of solutions of nonlinear systems of conductive-radiative heat transfer equations. Zbl 0857.45009
Kelley, C. T.
1996
Time decay for solutions to the linearized Vlasov equation. Zbl 0819.35114
Glassey, Robert; Schaeffer, Jack
1994
A kinetic model of vehicular traffic and its associated bimodal equilibrium solutions. Zbl 0817.90028
Nelson, Paul
1995
Kinetic equations modelling population dynamics. Zbl 0946.92019
Arlotti, L.; Bellomo, N.; Lachowicz, M.
2000
Regularization properties of the 2-dimensional non radially symmetric non cutoff spatially homogeneous Boltzmann equation for Maxwellian molecules. Zbl 0901.76072
Desvillettes, Laurent
1997
Compactness properties for linear transport operators with abstract boundary conditions in slab geometry. Zbl 0774.45006
Latrach, Khalid
1993
On the derivatives of the collision map of relativistic particles. Zbl 0793.45008
Glassey, Robert T.; Strauss, Walter A.
1991
Fully-discrete numerical transfer in diffusive regimes. Zbl 0818.65141
Jin, Shi; Levermore, C. David
1993
Steady gas flows past bodies at small Knudsen numbers. Boltzmann and hydrodynamic systems. Zbl 0622.76082
Sone, Yoshio; Aoki, Kazuo
1987
Existence of solutions and diffusion approximation for a model Fokker- Planck equation. Zbl 0649.76065
Degond, Pierre; Mas-Gallic, Sylvie
1987
On large time asymptotics for drift-diffusion-Poisson systems. Zbl 1017.82041
Arnold, Anton; Markowich, Peter; Toscani, Giuseppe
2000
Mathematical concepts of open quantum boundary conditions. Zbl 1019.81010
Arnold, Anton
2001
Transport coefficients of plasmas and disparate mass binary gases. Zbl 0909.35108
Degond, Pierre; Lucquin-Desreux, Brigitte
1996
Space homogeneous solutions of the Boltzmann equation describing electron-phonon interactions in semiconductors. Zbl 0800.76399
Majorana, A.
1991
Closure conditions for classical and quantum moment hierarchies in the small-temperature limit. Zbl 0871.76078
Gasser, Ingenuin; Markowich, Peter A.; Ringhofer, Christian A.
1996
On substochastic $$C_ 0$$-semigroups and their generators. Zbl 0634.47040
Voigt, Jürgen
1987
On the Boltzmann equation for rigid spheres. Zbl 0295.76048
Cercignani, Carlo
1972
On the stability of spectral methods for the homogeneous Boltzmann equation. Zbl 1019.82016
Pareschi, Lorenzo; Russo, Giovanni
2000
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
2001
Population dynamics with stochastic interaction. Zbl 0838.92018
Arlotti, L.; Bellomo, N.
1995
Existence of solutions to coagulation-fragmentation systems with diffusion. Zbl 0870.35117
Collet, J. F.; Poupaud, F.
1996
Spectral velocity discretizations for the Vlasov-Maxwell equations. Zbl 0864.76101
Holloway, James Paul
1996
On moments and uniqueness for solutions to the space homogeneous Boltzmann equation. Zbl 0812.76080
Wennberg, Bernt
1994
A spectral mapping theorem for the exponential function in linear transport theory. Zbl 0613.45014
Takac, Peter
1985
Global existence and large-time behavior for BGK model for a gas with non-constant cross section. Zbl 1057.82011
Bellouquid, A.
2003
Iterative solution for a certain class of algebraic matrix Riccati equations arising in transport theory. Zbl 0774.65020
Juang, Jonq; Chen, I-Der
1993
Benchmark results in radiative transfer. Zbl 0624.65143
Garcia, R. D. M.; Siewert, C. E.
1985
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.
2012
On the initial value problem for the Boltzmann equation with a force term. Zbl 0699.35237
Bellomo, N.; Lachowicz, M.; Palczewski, A.; Toscani, G.
1989
The Wigner transform and the Wigner-Poisson system. Zbl 0785.35102
Zweifel, P. F.
1993
Spectral properties of the space nonhomogeneous linearized Boltzmann operator. Zbl 0585.47023
Palczewski, Andrzej
1984
Kinetic theoretical studies of the half-space problem of evaporation and condensation. Zbl 1112.82321
Sone, Yoshio
2000
Stationary solutions of the BGK model equation on a finite interval with large boundary data. Zbl 0791.76076
Ukai, Seiji
1992
Existence of global solutions for the space inhomogeneous Enskog equation. Zbl 0629.76083
Cercignani, Carlo
1987
On the Enskog equation in two space variables. Zbl 0633.76076
Arkeryd, Leif
1986
Analytic solution of the temperature jump problem for the BGK model. Zbl 0376.76055
Cercignani, Carlo
1977
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
1996
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
1992
Lagrangian theory for 3D vortex sheets with axial or helical symmetry. Zbl 0792.76009
Caflisch, Russel E.; Li, Xiao-Fan
1992
Local existence of classical solutions to the Landau equations. Zbl 0810.35095
Zhan, Mei-Qin
1994
Convergence of an iterative technique for algebraic matrix Riccati equations and applications to transport theory. Zbl 0759.65022
Juang, Jonq; Lin, Zong Tsang
1992
Noether’s theorem. Zbl 0291.49035
Tavel, M. A.
1971
Decay of the linearized Boltzmann-Vlasov system. Zbl 0983.82018
Glassey, Robert T.; Strauss, Walter A.
1999
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.
2001
Subcell balance methods for radiative transfer on arbitrary grids. Zbl 0906.65136
1997
Regularization for the non-cutoff 2D radially symmetric Boltzmann equation with a velocity dependent cross section. Zbl 0871.76077
Desvillettes, Laurent
1996
Time asymptotic behaviour for linear transport equations with abstract boundary conditions in slab geometry. Zbl 0816.45008
Latrach, Khalid
1994
A review on the quantum drift diffusion model. Zbl 1009.82023
Pinnau, René
2002
Wiener-Hopf factorizations. Zbl 0331.45008
Mullikin, T. W.
1975
On the number of collisions in a hard sphere particle system in all space. Zbl 0723.58031
Illner, Reinhard
1989
Asymptotic preserving Monte Carlo methods for the Boltzmann equation. Zbl 1028.82019
Pareschi, Lorenzo; Russo, Giovanni
2000
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.
2000
Method of invariant manifolds and regularization of acoustic spectra. Zbl 0812.76077
Gorban, Alexander N.; Karlin, Iliya V.
1994
Plane Poiseuille flow with symmetric and nonsymmetric gas-wall interactions. Zbl 1076.82041
Cercignani, Carlo; Lampis, Maria; Lorenzani, Silvia
2005
Methods for solving inverse problems for radiation transport - an update. Zbl 0619.35107
McCormick, N. J.
1986
Structure and approximations of the Chapman-Enskog expansion for the linearized Grad equations. Zbl 0756.76066
Gorban, Alexandr N.; Karlin, Iliya V.
1992
Theoretical aspects of the simplified $$P_{n}$$ equations. Zbl 1213.82079
McClarren, Ryan G.
2010
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.
2000
Rigorous asymptotic and moment-preserving diffusion approximations for generalized linear Boltzmann transport in arbitrary dimension. Zbl 1305.82055
d’Eon, Eugene
2013
Optimal control of glass cooling using simplified $$P_N$$ theory. Zbl 1213.82074
Frank, Martin; Klar, Axel; Pinnau, René
2010
Simulation of radiation transport in a channel based on the quasi-diffusion method. Zbl 1156.82385
Aristova, E. N.
2008
On the Cauchy problem for the relativistic Boltzmann equation in a periodic box: Global existence. Zbl 0964.76080
Jiang, Zhenglu
1999
On the thermodynamics of a discrete velocity gas. Zbl 0811.76078
Cercignani, Carlo
1994
On simulation methods for the Boltzmann equation. Zbl 0623.76084
Illner, Reinhard; Neunzert, Helmut
1987
Knudsen layers from a computational viewpoint. Zbl 0754.76066
Golse, François
1992
Numerical simulations of the Fourier-transformed Vlasov-Maxwell system in higher dimensions – theory and applications. Zbl 1219.82138
Eliasson, Bengt
2010
Remarks on 3D Boltzmann linear equation without cutoff. Zbl 0939.35147
1999
Hamiltonian description of Vlasov dynamics: Action-angle variables for the continuous spectrum. Zbl 1019.82022
Morrison, Philip J.
2000
The Milne problem with a force term. Zbl 0899.76319
Cercignani, C.; Marra, R.; Esposito, R.
1998
Entropy-based moment closures for kinetic equations. Zbl 0906.60091
Levermore, C. David
1997
Streamline diffusion methods for Fermi and Fokker-Planck equations. Zbl 0907.65143
1997
Existence, uniqueness and asymptotic behavior of Wigner-Poisson and Vlasov-Poisson systems: A survey. Zbl 0913.35114
Illner, R.
1997
Some notes on the spectral properties of $$C_0$$ semigroups generated by linear transport operators. Zbl 0915.47030
Song, Degong
1997
Adaptive wavelet collocation method for the solution of Burgers equation. Zbl 0868.65071
Bertoluzza, Silvia
1996
A conservative and entropy scheme for a simplified model of granular media. Zbl 1127.82324
Buet, C.; Cordier, S.; Dos Santos, V.
2004
A review of the facile $$(F_ N)$$ method in particle transport theory. Zbl 0624.65142
Garcia, R. D. M.
1985
Solution of three dimensional inverse transport problems. Zbl 0653.45006
Larsen, Edward W.
1988
A deterministic particle method for the linearized Boltzmann equation. Zbl 0658.76075
Mas-Gallic, Sylvie
1987
A generalized transport equation. Zbl 0527.47033
Zweifel, P. F.
1982
Kinetic boundary layers and fluid-kinetic coupling in semiconductors. Zbl 0942.35162
Degond, Pierre; Schmeiser, Christian
1999
Velocity inductive construction for mixtures. Zbl 0954.35139
Vedenyapin, Victor V.
1999
A fast two-grid method for matrix H-equations. Zbl 0684.65114
Kelley, C. T.
1989
Computation of the asymptotic states for linear half space kinetic problems. Zbl 0708.65130
Coron, F.
1990
A comparison of moment closures for linear kinetic transport equations: the line source benchmark. Zbl 1302.82088
Garrett, C. Kristopher; Hauck, Cory D.
2013
Rigorous asymptotic and moment-preserving diffusion approximations for generalized linear Boltzmann transport in arbitrary dimension. Zbl 1305.82055
d&rsquo;Eon, Eugene
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
2013
Brownian motion of charged particles driven by correlated noise in magnetic field. Zbl 1303.82026
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
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.
2013
Influence of heat source size on phonon transport in thin silicon film. Zbl 1302.82102
Yilbas, Bekir Sami; Mansoor, Saad Bin
2013
Spatial moments of continuous transport problems computed on grids: time-dependent problems. Zbl 1302.82096
Densmore, Jeffery D.
2013
On a mathematical model with noncompact boundary conditions describing bacterial population. Zbl 1302.82142
Boulanouar, Mohamed
2013
Asymptotic $$P_N$$-equivalent $$S_{N+1}$$ equations. Zbl 1302.82100
Morel, J. E.; Ragusa, J. C.; Adams, M. L.; Kanschat, G.
2013
Phonon transport in silicon thin film: effect of temperature oscillation on effective thermal conductivity. Zbl 1302.82099
Mansoor, Saad Bin; Yilbas, Bekir Sami
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.
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.
2012
Domain decomposition for the $$SP_N$$ solver MINOS. Zbl 1273.82081
Jamelot, Erell; Baudron, Anne-Marie; Lautard, Jean-Jacques
2012
The asymptotic telegrapher’s equation ($$P_1$$) approximation for time-dependent, thermal radiative transfer. Zbl 1268.82034
Heizler, Shay I.
2012
$$SP_2$$-asymptotic $$P_1$$ equivalence. Zbl 1273.82080
Heizler, Shay I.; Ravetto, Piero
2012
Spatial moments of continuous transport problems computed on grids. Zbl 1288.82054
Densmore, Jeffery D.
2012
Kenneth Case and his singular “eigenfunctions”. Zbl 1268.82038
Zweifel, P. F.
2012
Spherical harmonics and a semidiscrete finite element approximation for the transport equation. Zbl 1273.82062
2012
On radiative transfer in dense vegetation canopies. Zbl 1268.82036
Picca, Paolo; Furfaro, Roberto; Ganapol, Barry D.
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.
2012
Kinetic equations for Stark line shapes. Zbl 1273.82067
Rosato, J.; Capes, H.; Marandet, Y.; Mekkaoui, A.; Stamm, R.
2012
Eigenvalues of the anisotropic transport equation in a slab. Zbl 1276.82058
Sauter, E.; de Azevedo, F. S.; Thompson, M.; Vilhena, M. T.
2012
Diffusive limits for a quantum transport model with a strong field. Zbl 1278.82066
Barletti, Luigi; Frosali, Giovanni
2012
Diffusion limit of a small mean free path of radiative transfer equations with absorbing boundary condition. Zbl 1276.82056
Guo, Boling; Han, Yongqian
2012
New results in abstract time-dependent transport equations. Zbl 1241.82070
Boulanouar, M.
2011
Scaling with system size of the Lyapunov exponents for the Hamiltonian mean field model. Zbl 1257.82032
Manos, Thanos; Ruffo, Stefano
2011
Diffusion limit of small mean free path of transfer equation in $$\mathbb{R}^3$$. Zbl 1259.82100
Guo, Boling; Han, Yongqian
2011
Optimal $$\mathcal L_\beta$$-control for the global Cauchy problem of the relativistic Vlasov-Poisson system. Zbl 1459.35354
Young, Brent
2011
Landau and non-Landau linear damping: physics of the dissipation. Zbl 1257.82101
Belmont, Gérard; Chust, Thomas; Mottez, Fabrice; Hess, Sebastien
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
2011
Existence result for the kinetic neutron transport problem with a general Albedo boundary condition. Zbl 1245.82093
Sanchez, Richard; Bourhrara, Lahbib
2011
A heterogeneous coarse mesh method for coupled photon electron transport problems. Zbl 1245.82005
2011
Theoretical aspects of the simplified $$P_{n}$$ equations. Zbl 1213.82079
McClarren, Ryan G.
2010
Optimal control of glass cooling using simplified $$P_N$$ theory. Zbl 1213.82074
Frank, Martin; Klar, Axel; Pinnau, René
2010
Numerical simulations of the Fourier-transformed Vlasov-Maxwell system in higher dimensions – theory and applications. Zbl 1219.82138
Eliasson, Bengt
2010
Moment analysis of angular approximation methods for time-dependent radiation transport. Zbl 1215.82040
Densmore, Jeffery D.; McClarren, Ryan G.
2010
Modification of the decision-making capability in the social force model for the evacuation process. Zbl 1210.91116
Zainuddin, Zarita; Shuaib, Mohammed
2010
Asymptotic diffusion and simplified $$P_N$$ approximations for diffusive and deep penetration problems. I: Theory. Zbl 1213.82077
Larsen, Edward W.
2010
Application of $$h$$-, $$p$$-, and $$hp$$-mesh adaptation techniques to the $$SP_3$$ equations. Zbl 1213.82002
Ragusa, Jean C.
2010
Mixed variational formulation and mixed-hybrid discretization of the transport equation. Zbl 1214.82094
Cartier, J.; Peybernes, M.
2010
Parallel $$SP_N$$ on multi-core CPUS and many-core GPUS. Zbl 1221.82003
Kirschenmann, W.; Plagne, L.; Ponçot, A.; Vialle, S.
2010
On a class of mean field solutions of the Monge problem for perfect and self-interacting systems. Zbl 1222.82038
Choquard, Philippe
2010
Spin kinetic theory-quantum kinetic theory in extended phase space. Zbl 1219.82109
Marklund, Mattias; Zamanian, Jens; Brodin, Gert
2010
A fast-forward solver of radiative transfer equation. Zbl 1187.78028
Gao, Hao; Zhao, Hongkai
2009
New trace theorems for neutronic function spaces. Zbl 1180.82155
Boulanouar, Mohamed
2009
Some applications of a spectral representation of the linear multigroup transport problem. Zbl 1184.82021
Shulaia, D.
2009
$$W^N$$ approximations of neutron transport equation. Zbl 1180.82244
Bourhrara, L.
2009
Modeling error in $$L^1$$ for a hierarchy of 1-D discrete velocity models. Zbl 1180.82148
Assi, K. C.; Laforest, M.
2009
Some benchmark results in spherical media radiative transfer problems. Zbl 1180.82166
Yilmazer, Ayhan; Kocar, Cemil
2009
Expansion of solution in terms of generalized eigenvectors for a rectilinear transport equation. Zbl 1182.82022
Charfi, Salma; Intissar, Abdelkader; Jeribi, Aref
2009
Simulation of radiation transport in a channel based on the quasi-diffusion method. Zbl 1156.82385
Aristova, E. N.
2008
A finite volume scheme for diffusion equations on distorted quadrilateral meshes. Zbl 1375.82100
Sheng, Zhiqiang; Yuan, Guangwei
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.
2008
Comparison of the efficiency of the transport equation calculation methods in characteristics variables. Zbl 1156.82421
Baydin, D. F.; Aristova, E. N.; Gol&rsquo;din, V. Ya.
2008
Existence theory for radiative flows. Zbl 1156.80371
Thompson, M.; de Vilhena, M. T.; Bodmann, B. E. J.
2008
A Wigner-function approach to interband transitions based on the multiband-envelope-function model. Zbl 1156.82390
Morandi, O.; Demeio, L.
2008
Transport of neutral particles in a finite continuous stochastic medium with Gaussian statistics. Zbl 1156.82024
Selim, M. M.; Sallah, M.
2008
Solution of the Boltzmann kinetic equation for low speed flows. Zbl 1156.82382
Tcheremissine, F. G.
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
2008
The two-direction neutral-particle transport model: A useful tool for research and education. Zbl 1156.82015
Hoogenboom, J. E.
2008
A derivation of quantum kinetic equation from Bohm potential. Zbl 1156.82381
Mostacci, D.; Molinari, V.; Pizzio, F.
2008
Methods of iterations on subdomains for neutron transport theory problems. Zbl 1156.82418
Abramov, B. D.
2008
Computing analysis and optimization of neutron beam for tumor therapy. Zbl 1156.82422
Korobeynikov, A.; Ginkin, V.
2008
Georeactor in the earth. Zbl 1156.82419
Anisichkin, Vladimir F.; Bezborodov, Alexander A.; Suslov, Igor R.
2008
The asymptotic behavior for the transport operator in slab geometry. Zbl 1214.82093
Boulanouar, M.
2008
Hybrid Burnett equations: A new method of stabilizing. Zbl 1183.82070
Söderholm, L. H.
2007
Global existence and increased spatial decay for the radial Vlasov-Poisson system with steady spatial asymptotics. Zbl 1150.82025
Pankavich, S.
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.
2007
Nonlinear weighted flux methods for particle transport problems. Zbl 1150.82021
Roberts, L.; Anistratov, D. Y.
2007
Kinetic-type models with diffusion: conservative and nonconservative solutions. Zbl 1147.82344
Banasiak, J.
2007
A quantum kinetic approach for modeling a two-band resonant tunneling diode. Zbl 1147.82355
Frosali, G.; Morandi, O.
2007
On the depth of the trees in the McKean representation of Wild’s sums. Zbl 1183.82053
Bassetti, F.; Gabetta, E.; Regazzini, E.
2007
Properties of the collision integral in the axisymmetric Boltzmann equation. Zbl 1143.82322
Ender, A. Ya.; Ender, I. A.
2007
Dilute granular flows in a medium. Zbl 1206.82086
Bisi, M.; Spiga, G.
2007
The improved prompt jump approximation. Zbl 1208.82087
Beauwens, R.; Mika, J.
2007
On the Reynolds equation for linearized models of the Boltzmann operator. Zbl 1136.82018
Cercignani, C.; Lampis, M.; Lorenzani, S.
2007
Spectral theory for photon transport in dense vegetation media: caseology for the canopy equation. Zbl 1206.82089
Furfaro, R.; Ganapol, B. D.
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.
2007
On BGK approximation for reactive and nonreactive flows. Zbl 1183.82054
Caraffini, G. L.; Groppi, M.; Spiga, G.
2007
Convergence to equilibrium for the linearized cometary flow equation. Zbl 1129.82036
Fellner, Klemens; Miljanović, Vera; Schmeiser, Christian
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.
2006
$$H^{1}$$ approximations of the neutron transport equation and associated diffusion equations. Zbl 1125.82033
Bourhrara, L.
2006
Existence result for the kinetic neutron transport problem in the presence of delayed neutrons. Zbl 1125.82034
Bourhrara, Lahbib; Sanchez, Richard
2006
Spectral properties of the neutron transport equation for spherical geometry in the setting of $$L^1$$. Zbl 1108.82054
Song, Degong; Greenberg, William
2006
The incident flux response expansion method for heterogeneous coarse mesh transport problems. Zbl 1107.82059
2006
A semi-analytic solution to the time-dependent half-space linear Boltzmann equation. Zbl 1129.82033
Meylan, Michael H.
2006
On the Vlasov limit for systems of nonlinearly coupled oscillators without noise. Zbl 1206.82107
Lancellotti, Carlo
2005
Plane Poiseuille flow with symmetric and nonsymmetric gas-wall interactions. Zbl 1076.82041
Cercignani, Carlo; Lampis, Maria; Lorenzani, Silvia
2005
On solutions to the linear Boltzmann equation for granular gases. Zbl 1076.82043
2005
On the master-equation approach to kinetic theory: linear and nonlinear Fokker-Planck equations. Zbl 1072.82024
Kiessling, Michael; Lancellotti, Carlo
2005
Vlasov and drift kinetic simulation methods based on the symplectic integrator. Zbl 1101.82037
Watanabe, T.-H.; Sugama, H.
2005
Semi-Lagrangian schemes for the two-dimensional Vlasov-Poisson system on unstructured meshes. Zbl 1109.82002
Besse, Nicolas; Segré, Jacques; Sonnendrücker, Eric
2005
Semicontinuous kinetic theory of the relaxation of electrons in GaAs. Zbl 1084.82017
Auer, Ch.; Schürrer, F.
2005
On the numerical simulation of three-phase reservoir transport problems. Zbl 1079.76069
Abreu, Eduardo; Furtado, Frederico; Pereira, Felipe
2005
Existence theory for the solution of a stationary nonlinear conductive-radiative heat-transfer problem in three space dimensions. Zbl 1085.80002
Thompson, M.; Segatto, C.; De Vilhena, M. T.
2005
Semi Lagrangian Vlasov-Maxwell simulations of self sustained kinetic electron nonlinear waves in the relativistic laser plasma interaction. Zbl 1081.82031
Albrechtmarc, M.; Ghizzo, A.; Réveillé, T.; Bertrand, P.; Johnston, T. W.
2005
On a quantum kinetic equation linked to the Compton effect. Zbl 1071.82042
Chane-Yook, M.; Nouri, A.
2005
Performance analysis of radiative transfer algorithms for inverse hydrologic optics in a parallel environment. Zbl 1077.85002
Souto, R. P.; Campos Velho, H. F.; Stephany, S.; Chalhoub, E. S.
2005
A multigroup approach to the coupled electron-phonon Boltzmann equations in InP. Zbl 1088.82030
Galler, M.; Schürrer, F.
2005
...and 529 more Documents
all top 5

### Cited by 2,681 Authors

 36 Aoki, Kazuo 35 Degond, Pierre 30 Zweifel, Paul F. 29 Latrach, Khalid 27 Van der Mee, Cornelis Victor Maria 27 Wang, Shu 26 Cercignani, Carlo 26 Ha, Seung-Yeal 25 Takata, Shigeru 24 Klar, Axel 22 Banasiak, Jacek 21 Yang, Tong 21 Yun, Seok-Bae 20 Carrillo de la Plata, José Antonio 20 Chebotarev, Alexander Yurievich 20 Zhang, Xianwen 19 Bellomo, Nicola 19 Jin, Shi 19 Lachowicz, Mirosław 19 Pareschi, Lorenzo 19 Yuen, Manwai 18 Martínez Gamba, Irene 18 Sone, Yoshio 17 Desvillettes, Laurent 17 Mokhtar-Kharroubi, Mustapha 17 Spiga, Giampiero 16 Illner, Reinhard 15 Hauck, Cory D. 15 Jeribi, Aref 15 Mouhot, Clément 15 Pinnau, René 14 Arlotti, Luisa 14 Duan, Renjun 14 Golse, François 14 Greenberg, William 14 Lods, Bertrand 14 Seaïd, Mohammed 13 Anistratov, Dmitriy Y. 13 Bobylev, Alexandre Vasiljévitch 13 Filbet, Francis 13 Kelley, Carl T. 13 Kovtanyuk, Andrey Egorovich 13 Larsen, Edward W. 13 McClarren, Ryan G. 13 Mieussens, Luc 13 Siewert, Charles E. 13 Strain, Robert M. 12 Asadzadeh, Mohammad Sina 12 Bisi, Marzia 12 Frank, Martin 12 Oliveri, Francesco 12 Sharipov, Felix M. 12 Taguchi, Satoshi 12 Xu, Kun 11 Alexandre, Radjesvarane 11 Babovsky, Hans 11 Boulanouar, Mohamed 11 Guo, Yan 11 Morimoto, Yoshinori 11 Peng, Yuejun 11 Toscani, Giuseppe 11 Yang, Jianwei 11 Yu, Hongjun 10 Aristova, E. N. 10 Brull, Stephane 10 Chacón, Luis 10 Feng, Yuehong 10 Herty, Michael Matthias 10 Hu, Jingwei 10 Jüngel, Ansgar 10 Pomraning, Gerald C. 10 Ragusa, Jean C. 10 Schneider, Florian H. 10 Wang, Yanli 10 Wu, Lei 10 Xu, Chao-Jiang 9 Buet, Christophe 9 Cornille, Henri 9 Ganapol, Barry D. 9 Mischler, Stéphane 9 Perthame, Benoît 9 Wagner, Wolfgang 9 Yuan, Guangwei 9 Zhao, Jihong 8 Arkeryd, Leif O. 8 Barletti, Luigi 8 Belleni-Morante, Aldo 8 Botkin, Nikolai D. 8 Després, Bruno 8 Ducomet, Bernard 8 Frosali, Giovanni 8 Goudon, Thierry 8 Groppi, Maria 8 Jang, Jin Woo 8 Juang, Jonq 8 Knoll, Dana A. 8 Lange, Horst 8 Lemou, Mohammed 8 Li, Qin 8 Park, Hyeongkae ...and 2,581 more Authors
all top 5

### Cited in 325 Journals

 296 Transport Theory and Statistical Physics 233 Journal of Computational Physics 118 Journal of Statistical Physics 105 Journal of Mathematical Physics 86 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 80 Journal of Mathematical Analysis and Applications 62 Journal of Differential Equations 57 Archive for Rational Mechanics and Analysis 56 Journal of Computational and Theoretical Transport 52 Physics of Fluids 43 Communications in Mathematical Physics 38 Computers & Mathematics with Applications 38 Kinetic and Related Models 35 ZAMP. Zeitschrift für angewandte Mathematik und Physik 35 Journal of Computational and Applied Mathematics 35 Mathematical and Computer Modelling 30 Mathematical Methods in the Applied Sciences 30 Applied Mathematics and Computation 27 Journal of Scientific Computing 26 SIAM Journal on Mathematical Analysis 26 European Journal of Mechanics. B. Fluids 23 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 22 SIAM Journal on Scientific Computing 21 Acta Applicandae Mathematicae 21 Physica D 21 Applied Mathematics Letters 21 Communications in Partial Differential Equations 21 Nonlinear Analysis. Real World Applications 19 Journal of Fluid Mechanics 18 Physica A 18 Computational Mathematics and Mathematical Physics 17 Mathematics and Computers in Simulation 15 Computers and Fluids 14 Integral Equations and Operator Theory 14 Quarterly of Applied Mathematics 13 Physics of Fluids, A 12 Applicable Analysis 12 Computer Methods in Applied Mechanics and Engineering 12 Mathematics of Computation 12 Journal of Functional Analysis 12 Comptes Rendus. Mathématique. Académie des Sciences, Paris 12 Communications in Computational Physics 11 SIAM Journal on Numerical Analysis 11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 10 Journal de Mathématiques Pures et Appliquées. Neuvième Série 10 Continuum Mechanics and Thermodynamics 10 Multiscale Modeling & Simulation 10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 9 Astrophysics and Space Science 9 Computer Physics Communications 9 Applied Numerical Mathematics 9 SIAM Journal on Applied Mathematics 9 Journal of Evolution Equations 9 Matematicheskoe Modelirovanie 8 RAIRO. Modélisation Mathématique et Analyse Numérique 8 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 8 Communications in Nonlinear Science and Numerical Simulation 7 Classical and Quantum Gravity 7 Inverse Problems 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Meccanica 7 Numerische Mathematik 7 Discrete and Continuous Dynamical Systems 7 Mathematical Problems in Engineering 7 Discrete and Continuous Dynamical Systems. Series B 7 Networks and Heterogeneous Media 6 Communications on Pure and Applied Mathematics 6 Fluid Dynamics 6 Journal of Mathematical Biology 6 Monatshefte für Mathematik 6 Journal of Integral Equations and Applications 6 Applied Mathematical Modelling 6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 6 Abstract and Applied Analysis 6 Séminaire Laurent Schwartz. EDP et Applications 5 International Journal of Engineering Science 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 Journal of Mathematical Sciences (New York) 5 Communications on Pure and Applied Analysis 5 Journal of Hyperbolic Differential Equations 5 Mediterranean Journal of Mathematics 5 Journal of Statistical Mechanics: Theory and Experiment 5 Waves in Random and Complex Media 5 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 Acta Mechanica 4 International Journal of Heat and Mass Transfer 4 Physics Letters. A 4 Reports on Mathematical Physics 4 Journal of Geometry and Physics 4 Inventiones Mathematicae 4 Mathematische Nachrichten 4 Ricerche di Matematica 4 Revista Matemática Iberoamericana 4 Japan Journal of Industrial and Applied Mathematics 4 International Journal of Computer Mathematics 4 Journal of Non-Equilibrium Thermodynamics ...and 225 more Journals
all top 5

### Cited in 55 Fields

 1,210 Statistical mechanics, structure of matter (82-XX) 1,121 Partial differential equations (35-XX) 992 Fluid mechanics (76-XX) 594 Numerical analysis (65-XX) 326 Integral equations (45-XX) 163 Operator theory (47-XX) 129 Classical thermodynamics, heat transfer (80-XX) 129 Biology and other natural sciences (92-XX) 121 Astronomy and astrophysics (85-XX) 104 Optics, electromagnetic theory (78-XX) 96 Probability theory and stochastic processes (60-XX) 94 Ordinary differential equations (34-XX) 92 Quantum theory (81-XX) 58 Dynamical systems and ergodic theory (37-XX) 51 Mechanics of particles and systems (70-XX) 51 Relativity and gravitational theory (83-XX) 47 Calculus of variations and optimal control; optimization (49-XX) 43 Mechanics of deformable solids (74-XX) 38 Operations research, mathematical programming (90-XX) 22 Systems theory; control (93-XX) 19 Global analysis, analysis on manifolds (58-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 17 Functional analysis (46-XX) 16 Differential geometry (53-XX) 15 Special functions (33-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 15 Computer science (68-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Geophysics (86-XX) 13 Approximations and expansions (41-XX) 12 Real functions (26-XX) 9 Integral transforms, operational calculus (44-XX) 8 Difference and functional equations (39-XX) 7 Topological groups, Lie groups (22-XX) 6 History and biography (01-XX) 6 Combinatorics (05-XX) 6 Functions of a complex variable (30-XX) 5 General and overarching topics; collections (00-XX) 4 Information and communication theory, circuits (94-XX) 3 General topology (54-XX) 3 Statistics (62-XX) 2 Number theory (11-XX) 2 Algebraic geometry (14-XX) 2 Nonassociative rings and algebras (17-XX) 2 Abstract harmonic analysis (43-XX) 2 Convex and discrete geometry (52-XX) 2 Manifolds and cell complexes (57-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Measure and integration (28-XX) 1 Algebraic topology (55-XX) 1 Mathematics education (97-XX)