# zbMATH — the first resource for mathematics

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 Documents Indexed: 42 Publications since 1984, including 3 Books
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#### Co-Authors

 11 single-authored 4 Kowalczyk, Piotr 3 Standar, Christoffer 2 Beilina, Larisa 2 Gebäck, Tobias 2 Sopasakis, Alexandros 1 Brahme, Anders 1 Eriksson, Kenneth 1 Humbürg, Ale Jan 1 Jamalzadeh, Javad 1 Kazemi, Ehsan 1 Kumlin, Peter 1 Larsson, Stig 1 Rezaei, Gholamreza 1 Shahgholian, Henrik 1 Xin, Jiping
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#### Serials

 5 Transport Theory and Statistical Physics 4 SIAM Journal on Numerical Analysis 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Kinetic and Related Models 1 Computer Methods in Applied Mechanics and Engineering 1 Inverse Problems 1 BIT 1 Bulletin of the Iranian Mathematical Society 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Numerical Methods for Partial Differential Equations 1 Journal of Mathematical Sciences (New York) 1 Advances in Computational Mathematics 1 Scientific Bulletin. Series A. Applied Mathematics and Physics. Politehnica University of Bucharest 1 International Journal of Numerical Analysis and Modeling 1 Applied and Computational Mathematics
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#### Fields

 22 Numerical analysis (65-XX) 17 Statistical mechanics, structure of matter (82-XX) 14 Partial differential equations (35-XX) 9 Integral equations (45-XX) 5 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH

27 Publications have been cited 148 times in 92 Documents Cited by Year
Convergence analysis of the streamline diffusion and discontinuous Galerkin methods for the Vlasov-Fokker-Planck system. Zbl 1072.82023
2005
Asymptotic error expansions for the finite element method for second order elliptic problems in $$R^N, N\geq 2$$. I: Local interior expansions. Zbl 1219.65125
2010
A new approach to Richardson extrapolation in the finite element method for second order elliptic problems. Zbl 1198.65216
2009
A finite element method for the neutron transport equation in an infinite cylindrical domain. Zbl 0918.65092
1998
Analysis of a fully discrete scheme for neutron transport in two- dimensional geometry. Zbl 0608.65098
1986
A posteriori error estimates for the Fokker-Planck and Fermi pencil beam equations. Zbl 1012.82008
2000
On adaptive finite element methods for Fredholm integral equations of the second kind. Zbl 0814.65134
1994
$$L_ p$$ and eigenvalue error estimates for the discrete ordinates method for two-dimensional neutron transport. Zbl 0668.65119
1989
Streamline diffusion methods for Fermi and Fokker-Planck equations. Zbl 0907.65143
1997
Chebyshev spectral-$$S_N$$ method for the neutron transport equation. Zbl 1137.65443
2006
Streamline diffusion methods for the Vlasov-Poisson equation. Zbl 0703.76106
1990
Discontinuous Galerkin and multiscale variational schemes for a coupled damped nonlinear system of Schrödinger equations. Zbl 1307.65129
2013
A posteriori error estimates for a coupled wave system with a local damping. Zbl 1283.65089
2011
The Fokker-Planck operator as an asymptotic limit in anisotropic media. Zbl 1053.35040
2002
The discrete ordinates method for the neutron transport equation in an infinite cylindrical domain. Zbl 0767.65095
1992
Discrete-ordinates and streamline diffusion methods for a flow described by BGK model. Zbl 1305.76091
2014
A posteriori error estimates in a globally convergent FEM for a hyperbolic coefficient inverse problem. Zbl 1222.65103
2010
On the stability of characteristic schemes for the Fermi equation. Zbl 1142.90318
2002
$$L_ 2$$-error estimates for the discrete ordinates method for three- dimensional neutron transport. Zbl 0652.65097
1988
Galerkin methods for primary ion transport in inhomogeneous media. Zbl 1217.82040
2010
Ion transport in inhomogeneous media based on the bipartition model for primary ions. Zbl 1205.78017
2010
An inverse problem of the synthesis of optimal output variable regulators. Zbl 1284.49040
2006
On fully discrete schemes for the Fermi pencil-beam equation. Zbl 1010.82002
2002
Convergence analysis for backward-Euler and mixed discontinuous Galerkin methods for the Vlasov-Poisson system. Zbl 1330.65146
2015
Convergence of finite volume scheme for a three-dimensional Poisson equation. Zbl 1315.65095
2014
Efficiency of combined Daubechies and statistical parameters applied in mammography. Zbl 06287356
2013
Linear transport equations in flatland with small angular diffusion and their finite element approximations. Zbl 1173.90322
2008
Convergence analysis for backward-Euler and mixed discontinuous Galerkin methods for the Vlasov-Poisson system. Zbl 1330.65146
2015
Discrete-ordinates and streamline diffusion methods for a flow described by BGK model. Zbl 1305.76091
2014
Convergence of finite volume scheme for a three-dimensional Poisson equation. Zbl 1315.65095
2014
Discontinuous Galerkin and multiscale variational schemes for a coupled damped nonlinear system of Schrödinger equations. Zbl 1307.65129
2013
Efficiency of combined Daubechies and statistical parameters applied in mammography. Zbl 06287356
2013
A posteriori error estimates for a coupled wave system with a local damping. Zbl 1283.65089
2011
Asymptotic error expansions for the finite element method for second order elliptic problems in $$R^N, N\geq 2$$. I: Local interior expansions. Zbl 1219.65125
2010
A posteriori error estimates in a globally convergent FEM for a hyperbolic coefficient inverse problem. Zbl 1222.65103
2010
Galerkin methods for primary ion transport in inhomogeneous media. Zbl 1217.82040
2010
Ion transport in inhomogeneous media based on the bipartition model for primary ions. Zbl 1205.78017
2010
A new approach to Richardson extrapolation in the finite element method for second order elliptic problems. Zbl 1198.65216
2009
Linear transport equations in flatland with small angular diffusion and their finite element approximations. Zbl 1173.90322
2008
Chebyshev spectral-$$S_N$$ method for the neutron transport equation. Zbl 1137.65443
2006
An inverse problem of the synthesis of optimal output variable regulators. Zbl 1284.49040
2006
Convergence analysis of the streamline diffusion and discontinuous Galerkin methods for the Vlasov-Fokker-Planck system. Zbl 1072.82023
2005
The Fokker-Planck operator as an asymptotic limit in anisotropic media. Zbl 1053.35040
2002
On the stability of characteristic schemes for the Fermi equation. Zbl 1142.90318
2002
On fully discrete schemes for the Fermi pencil-beam equation. Zbl 1010.82002
2002
A posteriori error estimates for the Fokker-Planck and Fermi pencil beam equations. Zbl 1012.82008
2000
A finite element method for the neutron transport equation in an infinite cylindrical domain. Zbl 0918.65092
1998
Streamline diffusion methods for Fermi and Fokker-Planck equations. Zbl 0907.65143
1997
On adaptive finite element methods for Fredholm integral equations of the second kind. Zbl 0814.65134
1994
The discrete ordinates method for the neutron transport equation in an infinite cylindrical domain. Zbl 0767.65095
1992
Streamline diffusion methods for the Vlasov-Poisson equation. Zbl 0703.76106
1990
$$L_ p$$ and eigenvalue error estimates for the discrete ordinates method for two-dimensional neutron transport. Zbl 0668.65119
1989
$$L_ 2$$-error estimates for the discrete ordinates method for three- dimensional neutron transport. Zbl 0652.65097
1988
Analysis of a fully discrete scheme for neutron transport in two- dimensional geometry. Zbl 0608.65098
1986
all top 5

#### Cited by 141 Authors

 8 Transport Theory and Statistical Physics 7 Computers & Mathematics with Applications 7 Journal of Computational Physics 7 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 Mathematics of Computation 4 Journal of Computational and Applied Mathematics 3 Computer Methods in Applied Mechanics and Engineering 3 BIT 3 Numerical Methods for Partial Differential Equations 3 Mathematical and Computer Modelling 3 Abstract and Applied Analysis 2 Applied Mathematics and Computation 2 Numerische Mathematik 2 SIAM Journal on Numerical Analysis 2 Journal of Scientific Computing 2 International Applied Mechanics 2 Journal of Mathematical Sciences (New York) 2 Communications in Nonlinear Science and Numerical Simulation 2 Engineering Computations 1 Applicable Analysis 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Calcolo 1 Computing 1 International Journal of Mathematics and Mathematical Sciences 1 Kybernetes 1 Applied Numerical Mathematics 1 Sequential Analysis 1 Computational Mechanics 1 International Journal of Computer Mathematics 1 SIAM Journal on Mathematical Analysis 1 Advances in Computational Mathematics 1 Computational Methods in Applied Mathematics 1 Iranian Journal of Science and Technology. Transaction A: Science 1 Journal of Applied Mathematics and Computing 1 Central European Journal of Mathematics 1 Kinetic and Related Models 1 Asian-European Journal of Mathematics 1 Iranian Journal of Mathematical Chemistry 1 Stochastic and Partial Differential Equations. Analysis and Computations