# zbMATH — the first resource for mathematics

## Schmidt, Gunther

Compute Distance To:
 Author ID: schmidt.gunther.2 Published as: Schmidt, Gunther; Schmidt, G.; Schmidt, Günther External Links: MGP
 Documents Indexed: 82 Publications since 1979, including 7 Books Reviewing Activity: 237 Reviews
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#### Co-Authors

 19 single-authored 27 Maz’ya, Vladimir Gilelevich 18 Lanzara, Flavia 16 Elschner, Johannes 5 Prössdorf, Siegfried 3 Hinder, Rainer 3 Khoromskij, Boris N. 3 Kleemann, Bernd H. 3 Rehberg, Joachim 2 Ivanov, Tjavdar 2 Rathsfeld, Andreas 2 Strese, Hartmut 2 Yamamoto, Masahiro 1 Bao, Gang 1 Bissell, Christopher C. 1 Bugert, Beatrice 1 Denk, Joachim 1 Güther, R. 1 Huang, Kai 1 Kaiser, Hans-Christoph 1 Karlin, Vladimir 1 Kuhn, Udo 1 Papageorgiou, Markos 1 Penzel, Frank 1 Rempel, Stephan 1 Wendland, Wolfgang L.
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#### Serials

 6 Mathematische Nachrichten 4 Numerische Mathematik 4 Journal of Mathematical Sciences (New York) 3 Applicable Analysis 3 Journal of Computational Physics 3 Zeitschrift für Analysis und ihre Anwendungen 3 Applied and Computational Harmonic Analysis 2 Inverse Problems 2 Mathematical Methods in the Applied Sciences 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Journal of Approximation Theory 2 Large Scale Systems 2 Journal of Integral Equations and Applications 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Advances in Computational Mathematics 2 Journal of Modern Optics 1 Archive for Rational Mechanics and Analysis 1 IMA Journal of Numerical Analysis 1 Mathematics of Computation 1 Calcolo 1 Demonstratio Mathematica 1 Integral Equations and Operator Theory 1 Le Matematiche 1 Mathematika 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Applications of Mathematics 1 St. Petersburg Mathematical Journal 1 Journal of Inverse and Ill-Posed Problems 1 The Journal of Fourier Analysis and Applications 1 European Journal of Control 1 Interfaces and Free Boundaries 1 Bulletin of TICMI 1 Mathematical Surveys and Monographs 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Communications in Computational Physics 1 Discrete and Continuous Dynamical Systems. Series S 1 Analysis and Mathematical Physics 1 IEEE Control Systems 1 Die blaue Stunde der Informatik
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#### Fields

 54 Numerical analysis (65-XX) 31 Partial differential equations (35-XX) 24 Approximations and expansions (41-XX) 20 Integral equations (45-XX) 20 Optics, electromagnetic theory (78-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Systems theory; control (93-XX) 3 Potential theory (31-XX) 3 Operator theory (47-XX) 2 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX)

#### Citations contained in zbMATH Open

62 Publications have been cited 468 times in 268 Documents Cited by Year
Optimal regularity for elliptic transmission problems including $$C^1$$ interfaces. Zbl 1147.47034
Elschner, Johannes; Rehberg, Joachim; Schmidt, Gunther
2007
On approximate approximations using Gaussian kernels. Zbl 0838.65005
1996
Diffraction in periodic structures and optimal design of binary gratings. I: Direct problems and gradient formulas. Zbl 0913.65121
Elschner, J.; Schmidt, G.
1998
Approximate approximations from scattered data. Zbl 1119.41015
Lanzara, F.; Maz’ya, V.; Schmidt, G.
2007
A finite element collocation method for singular integral equations. Zbl 0543.65089
Prößdorf, Siegfried; Schmidt, Gunther
1981
On spline interpolation in periodic Sobolev spaces. Zbl 0601.41016
Elschner, Johannes; Schmidt, Gunther
1983
On quasi-interpolation with non-uniformly distributed centers on domains and manifolds. Zbl 0976.41004
2001
On spline collocation methods for boundary integral equations in the plane. Zbl 0577.65107
Schmidt, G.
1985
Existence, uniqueness and regularity for solutions of the conical diffraction problem. Zbl 1010.78008
Elschner, Johannes; Hinder, Rainer; Schmidt, Gunther; Penzel, Frank
2000
$$W^{1,q}$$ regularity results for elliptic transmission problems on heterogeneous polyhedra. Zbl 1206.35059
Elschner, J.; Kaiser, H.-C.; Rehberg, J.; Schmidt, G.
2007
“Approximate approximations” and the cubature of potentials. Zbl 0845.65008
1995
On the fast computation of high dimensional volume potentials. Zbl 1213.65046
Lanzara, Flavia; Maz’ya, Vladimir; Schmidt, Gunther
2011
On $$\epsilon$$-collocation for pseudodifferential equations on a closed curve. Zbl 0607.65049
Schmidt, Gunther
1986
On spline collocation for singular integral equations. Zbl 0543.65088
Schmidt, G.
1983
The convergence of Galerkin and collocation methods with splines for pseudodifferential equations on closed curves. Zbl 0551.65077
Schmidt, G.
1984
An inverse problem in periodic diffractive optics: global uniqueness with a single wavenumber. Zbl 1121.78325
Elschner, J.; Schmidt, G.; Yamamoto, M.
2003
Solutions for quasilinear nonsmooth evolution systems in $$L^p$$. Zbl 1053.35058
Maz’ya, V.; Elschner, J.; Rehberg, J.; Schmidt, G.
2004
Fast cubature of volume potentials over rectangular domains by approximate approximations. Zbl 1294.65034
Lanzara, F.; Maz’ya, V.; Schmidt, G.
2014
Numerical solution of the Lippmann-Schwinger equation by approximate approximations. Zbl 1174.65556
Lanzara, F.; Maz’ya, V.; Schmidt, G.
2004
Approximate wavelets and the approximation of pseudodifferential operators. Zbl 0932.65149
1999
Global uniqueness in determining rectangular periodic structures by scattering data with a single wave number. Zbl 1038.78014
Elschner, J.; Schmidt, G.; Yamamoto, M.
2003
On the diffraction by biperiodic anisotropic structures. Zbl 1037.35086
Schmidt, Gunther
2003
Approximate approximations. Zbl 1120.41013
2007
Accurate cubature of volume potentials over high-dimensional half-spaces. Zbl 1223.65017
Lanzara, F.; Maz’ya, V. G.; Schmidt, G.
2011
Splines und die näherungsweise Lösung von Pseudodifferentialgleichungen auf geschlossenen Kurven. (Splines and the approximated solution of pseudodifferential equations on closed curves). Zbl 0623.41012
Schmidt, Gunther
1986
Spline approximation of singular integral equations. Zbl 0618.65137
Elschner, J.; Prössdorf, Siegfried; Rathsfeld, Andreas; Schmidt, G.
1985
On the computation of multi-dimensional single layer harmonic potentials via approximate approximations. Zbl 1072.65029
Maz’ya, V.; Schmidt, G.; Wendland, W.
2003
Numerical solution of optimal design problems for binary gratings. Zbl 0922.65055
Elschner, J.; Schmidt, G.
1998
On a fast integral equation method for diffraction gratings. Zbl 1116.78032
Rathsfeld, A.; Schmidt, G.; Kleemann, B. H.
2006
A finite element collocation method for systems of singular integral equations. Zbl 0464.65092
Prößdorf, Siegfried; Schmidt, Gunther
1981
Integral equations for conical diffraction by coated grating. Zbl 1241.78015
Schmidt, G.
2011
On the computation of high-dimensional potentials of advection-diffusion operators. Zbl 1432.65179
Lanzara, Flavia; Schmidt, Gunther
2015
Spline collocation for singular integro-differential equations over (0,1). Zbl 0624.65141
Schmidt, Gunther
1987
Boundary element discretization of Poincaré-Steklov operators. Zbl 0827.65118
Schmidt, Gunther
1994
Inverse scattering for periodic structures: Stability of polygonal interfaces. Zbl 0989.35140
Elschner, Johannes; Schmidt, Gunther
2001
Finite element solution of conical diffraction problems. Zbl 0992.78018
Elschner, Johannes; Hinder, Rainer; Schmidt, Gunther
2002
Approximation of solutions to multidimensional parabolic equations by approximate approximations. Zbl 1348.65061
Lanzara, F.; Maz’ya, V.; Schmidt, G.
2016
Conical diffraction by periodic structures: variation of interfaces and gradient formulas. Zbl 1116.78010
Elschner, J.; Schmidt, G.
2003
Boundary integral equations for the biharmonic Dirichlet problem on nonsmooth domains. Zbl 0974.65111
Schmidt, Gunther; Khoromskij, Boris N.
1999
Boundary layer approximate approximations and cubature of potentials in domains. Zbl 0935.65128
Ivanov, Tjavdar; Maz’ya, Vladimir; Schmidt, Gunther
1999
Diffraction in periodic structures and optimal design of binary gratings. II: Gradient formulas for TM polarization. Zbl 1002.78003
Elschner, Johannes; Schmidt, Gunther
2001
Optimal design of nonlinear diffraction gratings. Zbl 1036.78008
Bao, Gang; Huang, Kai; Schmidt, Gunther
2003
Construction of basis functions for high order approximate approximations. Zbl 0937.65015
Maz’ya, V.; Schmidt, G.
2000
The convergence of a direct BEM for the plane mixed boundary value problem of the Laplacian. Zbl 0661.65116
Schmidt, G.; Strese, H.
1988
Boundary integral methods for periodic scattering problems. Zbl 1189.78026
Schmidt, Gunther
2010
A fast interface solver for the biharmonic Dirichlet problem on polygonal domains. Zbl 0899.65066
Khoromskij, B. N.; Schmidt, G.
1998
High accuracy periodic solutions to the Sivashinsky equation. Zbl 1022.65141
Karlin, V.; Maz’ya, V.; Schmidt, G.
2003
Boundary integral operators for plate bending in domains with corners. Zbl 0971.31004
Schmidt, G.
2001
Eigenvalues for spherical domains with corners via boundary integral equations. Zbl 0732.35048
Rempel, Stephan; Schmidt, G.
1991
Computation of volume potentials over bounded domains via approximate approximations. Zbl 1273.65040
Lanzara, F.; Maz’ya, V. G.; Schmidt, G.
2013
A fast solution method for time dependent multidimensional Schrödinger equations. Zbl 1453.65054
Lanzara, F.; Maz’ya, V.; Schmidt, G.
2019
Conical diffraction by multilayer gratings: a recursive integral equation approach. Zbl 1289.78005
Schmidt, Gunther
2013
Notwendige und hinreichende Bedingungen für die Konvergenz des Kollokationsverfahrens bei singulären Integralgleichungen. Zbl 0434.45011
Prößdorf, Siegfried; Schmidt, Gunther
1979
Approximate Hermite quasi-interpolation. Zbl 1151.41307
Lanzara, F.; Maz’ya, V.; Schmidt, G.
2008
Electromagnetic scattering by periodic structures. Zbl 1071.78019
Schmidt, G.
2003
Integral equation methods from grating theory to photonics: an overview and new approaches for conical diffraction. Zbl 1221.78050
Schmidt, Gunther; Kleemann, Bernd H.
2011
Asymptotically optimal interface solvers for the biharmonic Dirichlet problem on convex polygonal domains. Zbl 0900.65319
Khoromskij, B. N.; Schmidt, G.
1996
Decentralized observation: A unifying presentation of five basic schemes. Zbl 0553.93005
Kuhn, Udo; Schmidt, Günther
1984
Accurate computation of the high dimensional diffraction potential over hyper-rectangles. Zbl 07121691
Lanzara, Flavia; Maz’ya, Vladimir; Schmidt, Gunther
2018
Fast cubature of high dimensional biharmonic potential based on approximate approximations. Zbl 07144083
Lanzara, Flavia; Maz’ya, Vladimir; Schmidt, Gunther
2019
Potentials of Gaussians and approximate wavelets. Zbl 1118.41016
2007
Approximation of solutions to nonstationary Stokes system. Zbl 1435.65160
Lanzara, F.; Maz’ya, V.; Schmidt, G.
2020
Approximation of solutions to nonstationary Stokes system. Zbl 1435.65160
Lanzara, F.; Maz&rsquo;ya, V.; Schmidt, G.
2020
A fast solution method for time dependent multidimensional Schrödinger equations. Zbl 1453.65054
Lanzara, F.; Maz&rsquo;ya, V.; Schmidt, G.
2019
Fast cubature of high dimensional biharmonic potential based on approximate approximations. Zbl 07144083
Lanzara, Flavia; Maz&rsquo;ya, Vladimir; Schmidt, Gunther
2019
Accurate computation of the high dimensional diffraction potential over hyper-rectangles. Zbl 07121691
Lanzara, Flavia; Maz&rsquo;ya, Vladimir; Schmidt, Gunther
2018
Approximation of solutions to multidimensional parabolic equations by approximate approximations. Zbl 1348.65061
Lanzara, F.; Maz&rsquo;ya, V.; Schmidt, G.
2016
On the computation of high-dimensional potentials of advection-diffusion operators. Zbl 1432.65179
Lanzara, Flavia; Schmidt, Gunther
2015
Fast cubature of volume potentials over rectangular domains by approximate approximations. Zbl 1294.65034
Lanzara, F.; Maz&rsquo;ya, V.; Schmidt, G.
2014
Computation of volume potentials over bounded domains via approximate approximations. Zbl 1273.65040
Lanzara, F.; Maz&rsquo;ya, V. G.; Schmidt, G.
2013
Conical diffraction by multilayer gratings: a recursive integral equation approach. Zbl 1289.78005
Schmidt, Gunther
2013
On the fast computation of high dimensional volume potentials. Zbl 1213.65046
Lanzara, Flavia; Maz&rsquo;ya, Vladimir; Schmidt, Gunther
2011
Accurate cubature of volume potentials over high-dimensional half-spaces. Zbl 1223.65017
Lanzara, F.; Maz&rsquo;ya, V. G.; Schmidt, G.
2011
Integral equations for conical diffraction by coated grating. Zbl 1241.78015
Schmidt, G.
2011
Integral equation methods from grating theory to photonics: an overview and new approaches for conical diffraction. Zbl 1221.78050
Schmidt, Gunther; Kleemann, Bernd H.
2011
Boundary integral methods for periodic scattering problems. Zbl 1189.78026
Schmidt, Gunther
2010
Approximate Hermite quasi-interpolation. Zbl 1151.41307
Lanzara, F.; Maz&rsquo;ya, V.; Schmidt, G.
2008
Optimal regularity for elliptic transmission problems including $$C^1$$ interfaces. Zbl 1147.47034
Elschner, Johannes; Rehberg, Joachim; Schmidt, Gunther
2007
Approximate approximations from scattered data. Zbl 1119.41015
Lanzara, F.; Maz&rsquo;ya, V.; Schmidt, G.
2007
$$W^{1,q}$$ regularity results for elliptic transmission problems on heterogeneous polyhedra. Zbl 1206.35059
Elschner, J.; Kaiser, H.-C.; Rehberg, J.; Schmidt, G.
2007
Approximate approximations. Zbl 1120.41013
2007
Potentials of Gaussians and approximate wavelets. Zbl 1118.41016
2007
On a fast integral equation method for diffraction gratings. Zbl 1116.78032
Rathsfeld, A.; Schmidt, G.; Kleemann, B. H.
2006
Solutions for quasilinear nonsmooth evolution systems in $$L^p$$. Zbl 1053.35058
Maz&rsquo;ya, V.; Elschner, J.; Rehberg, J.; Schmidt, G.
2004
Numerical solution of the Lippmann-Schwinger equation by approximate approximations. Zbl 1174.65556
Lanzara, F.; Maz&rsquo;ya, V.; Schmidt, G.
2004
An inverse problem in periodic diffractive optics: global uniqueness with a single wavenumber. Zbl 1121.78325
Elschner, J.; Schmidt, G.; Yamamoto, M.
2003
Global uniqueness in determining rectangular periodic structures by scattering data with a single wave number. Zbl 1038.78014
Elschner, J.; Schmidt, G.; Yamamoto, M.
2003
On the diffraction by biperiodic anisotropic structures. Zbl 1037.35086
Schmidt, Gunther
2003
On the computation of multi-dimensional single layer harmonic potentials via approximate approximations. Zbl 1072.65029
Maz&rsquo;ya, V.; Schmidt, G.; Wendland, W.
2003
Conical diffraction by periodic structures: variation of interfaces and gradient formulas. Zbl 1116.78010
Elschner, J.; Schmidt, G.
2003
Optimal design of nonlinear diffraction gratings. Zbl 1036.78008
Bao, Gang; Huang, Kai; Schmidt, Gunther
2003
High accuracy periodic solutions to the Sivashinsky equation. Zbl 1022.65141
Karlin, V.; Maz&rsquo;ya, V.; Schmidt, G.
2003
Electromagnetic scattering by periodic structures. Zbl 1071.78019
Schmidt, G.
2003
Finite element solution of conical diffraction problems. Zbl 0992.78018
Elschner, Johannes; Hinder, Rainer; Schmidt, Gunther
2002
On quasi-interpolation with non-uniformly distributed centers on domains and manifolds. Zbl 0976.41004
2001
Inverse scattering for periodic structures: Stability of polygonal interfaces. Zbl 0989.35140
Elschner, Johannes; Schmidt, Gunther
2001
Diffraction in periodic structures and optimal design of binary gratings. II: Gradient formulas for TM polarization. Zbl 1002.78003
Elschner, Johannes; Schmidt, Gunther
2001
Boundary integral operators for plate bending in domains with corners. Zbl 0971.31004
Schmidt, G.
2001
Existence, uniqueness and regularity for solutions of the conical diffraction problem. Zbl 1010.78008
Elschner, Johannes; Hinder, Rainer; Schmidt, Gunther; Penzel, Frank
2000
Construction of basis functions for high order approximate approximations. Zbl 0937.65015
Maz&rsquo;ya, V.; Schmidt, G.
2000
Approximate wavelets and the approximation of pseudodifferential operators. Zbl 0932.65149
1999
Boundary integral equations for the biharmonic Dirichlet problem on nonsmooth domains. Zbl 0974.65111
Schmidt, Gunther; Khoromskij, Boris N.
1999
Boundary layer approximate approximations and cubature of potentials in domains. Zbl 0935.65128
Ivanov, Tjavdar; Maz&rsquo;ya, Vladimir; Schmidt, Gunther
1999
Diffraction in periodic structures and optimal design of binary gratings. I: Direct problems and gradient formulas. Zbl 0913.65121
Elschner, J.; Schmidt, G.
1998
Numerical solution of optimal design problems for binary gratings. Zbl 0922.65055
Elschner, J.; Schmidt, G.
1998
A fast interface solver for the biharmonic Dirichlet problem on polygonal domains. Zbl 0899.65066
Khoromskij, B. N.; Schmidt, G.
1998
On approximate approximations using Gaussian kernels. Zbl 0838.65005
1996
Asymptotically optimal interface solvers for the biharmonic Dirichlet problem on convex polygonal domains. Zbl 0900.65319
Khoromskij, B. N.; Schmidt, G.
1996
“Approximate approximations” and the cubature of potentials. Zbl 0845.65008
1995
Boundary element discretization of Poincaré-Steklov operators. Zbl 0827.65118
Schmidt, Gunther
1994
Eigenvalues for spherical domains with corners via boundary integral equations. Zbl 0732.35048
Rempel, Stephan; Schmidt, G.
1991
The convergence of a direct BEM for the plane mixed boundary value problem of the Laplacian. Zbl 0661.65116
Schmidt, G.; Strese, H.
1988
Spline collocation for singular integro-differential equations over (0,1). Zbl 0624.65141
Schmidt, Gunther
1987
On $$\epsilon$$-collocation for pseudodifferential equations on a closed curve. Zbl 0607.65049
Schmidt, Gunther
1986
Splines und die näherungsweise Lösung von Pseudodifferentialgleichungen auf geschlossenen Kurven. (Splines and the approximated solution of pseudodifferential equations on closed curves). Zbl 0623.41012
Schmidt, Gunther
1986
On spline collocation methods for boundary integral equations in the plane. Zbl 0577.65107
Schmidt, G.
1985
Spline approximation of singular integral equations. Zbl 0618.65137
Elschner, J.; Prössdorf, Siegfried; Rathsfeld, Andreas; Schmidt, G.
1985
The convergence of Galerkin and collocation methods with splines for pseudodifferential equations on closed curves. Zbl 0551.65077
Schmidt, G.
1984
Decentralized observation: A unifying presentation of five basic schemes. Zbl 0553.93005
Kuhn, Udo; Schmidt, Günther
1984
On spline interpolation in periodic Sobolev spaces. Zbl 0601.41016
Elschner, Johannes; Schmidt, Gunther
1983
On spline collocation for singular integral equations. Zbl 0543.65088
Schmidt, G.
1983
A finite element collocation method for singular integral equations. Zbl 0543.65089
Prößdorf, Siegfried; Schmidt, Gunther
1981
A finite element collocation method for systems of singular integral equations. Zbl 0464.65092
Prößdorf, Siegfried; Schmidt, Gunther
1981
Notwendige und hinreichende Bedingungen für die Konvergenz des Kollokationsverfahrens bei singulären Integralgleichungen. Zbl 0434.45011
Prößdorf, Siegfried; Schmidt, Gunther
1979
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#### Cited by 300 Authors

 28 Schmidt, Gunther 16 Rehberg, Joachim 15 Maz’ya, Vladimir Gilelevich 14 Lanzara, Flavia 12 Prössdorf, Siegfried 11 Elschner, Johannes 10 Boyd, John Philip 10 Hu, Guanghui 9 Wendland, Wolfgang L. 7 Haller-Dintelmann, Robert 7 Kaiser, Hans-Christoph 7 Rathsfeld, Andreas 6 Bao, Gang 6 Saranen, Jukka 5 Hsiao, George C. 5 Lechleiter, Armin 5 Müller, Frank 5 Ruotsalainen, Keijo Matti 5 Schneider, Reinhold 5 Silbermann, Bernd 5 Varnhorn, Werner 4 Gao, Wenwu 4 Kiselev, Evgenii A. 4 Meinlschmidt, Hannes 4 Meyer, Christian 4 Minin, Leonid A. 4 Monk, Peter B. 4 Nguyen, Dinh Liem 4 Sloan, Ian Hugh 4 Yamamoto, Masahiro 4 Zhang, Bo 3 Beylkin, Gregory 3 Byun, Sun-Sig 3 Chandler, Graeme A. 3 Disser, Karoline 3 Fasshauer, Gregory E. 3 Hamina, Martti 3 Kanaun, Sergei K. 3 Khoromskij, Boris N. 3 Monzón, Lucas 3 Novikov, Igor Yakovlevich 3 Steinbach, Olaf 3 Wang, Lei 3 Wu, Zongmin 3 Yan, Guozheng 3 Yang, Jiaqing 3 Yousept, Irwin 3 Zhang, Ruming 2 Banerjee, Uday 2 Bühring, Kathrin 2 Cao, Feilong 2 Chandler-Wilde, Simon N. 2 Chen, Ching-Shyang 2 Chen, Dehan 2 Chen, Zhixiang 2 Chernov, Andreĭ Vladimirovich 2 Consiglieri, Luisa 2 Dahmen, Wolfgang A. 2 Didenko, Victor D. 2 Domínguez, Víctor 2 Gong, Wei 2 Gross, Hermann 2 Lin, Ji 2 McLean, William 2 Nakamura, Gen 2 Nicholls, David P. 2 Palagachev, Dian K. 2 Patidar, Kailash C. 2 Phan, Thanh Xuan 2 Schiela, Anton 2 Sitnik, Sergei Mihailovich 2 Sladek, Jan 2 Sladek, Vladimir 2 Vexler, Boris 2 Wang, Haibing 2 Wang, Zhoufeng 2 Yan, Ningning 2 Yin, Tao 2 Ying, Lexing 2 Zhang, Hai 2 Zhang, Lei 2 Zhang, Yunzhang 2 Zhou, Xuan 2 Zou, Jun 1 Aarão, Jorge 1 Abramyan, Anna Vladimirovna 1 Agranovich, Mikhail Semënovich 1 Ambikasaran, Sivaram 1 Anand, Akash 1 António, Julieta M. P. 1 Anttila, Juha 1 Arnold, Douglas Norman 1 Auscher, Pascal 1 Aylwin, Rubén 1 Badr, Nadine 1 Bär, Markus 1 Bastos, Maria Amélia 1 Behforooz, G. Hossein 1 Bellomo, Nicola 1 Berthold, Dietmar ...and 200 more Authors
all top 5

#### Cited in 91 Serials

 20 Journal of Computational and Applied Mathematics 19 Numerische Mathematik 17 Journal of Computational Physics 13 Applicable Analysis 10 Mathematical Methods in the Applied Sciences 9 Applied Mathematics and Computation 9 Integral Equations and Operator Theory 9 Journal of Integral Equations and Applications 6 Journal of Mathematical Analysis and Applications 6 Journal of Differential Equations 6 Journal of Mathematical Sciences (New York) 5 Computer Methods in Applied Mechanics and Engineering 5 Applied Numerical Mathematics 5 SIAM Journal on Scientific Computing 4 Computers & Mathematics with Applications 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Applied and Computational Harmonic Analysis 4 Advances in Computational Mathematics 3 Mathematical Notes 3 BIT 3 Journal of Approximation Theory 3 SIAM Journal on Control and Optimization 3 Zeitschrift für Analysis und ihre Anwendungen 3 Computational Mathematics and Mathematical Physics 3 Engineering Analysis with Boundary Elements 3 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 3 Inverse Problems and Imaging 3 Discrete and Continuous Dynamical Systems. Series S 2 Inverse Problems 2 Mathematics of Computation 2 Functional Analysis and its Applications 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 SIAM Journal on Numerical Analysis 2 Transactions of the American Mathematical Society 2 Numerical Methods for Partial Differential Equations 2 Numerical Algorithms 2 Applied Mathematical Modelling 2 SIAM Journal on Mathematical Analysis 2 Potential Analysis 2 Journal of Inverse and Ill-Posed Problems 2 Combustion Theory and Modelling 2 Journal of Evolution Equations 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Inverse Problems in Science and Engineering 2 PAMM. Proceedings in Applied Mathematics and Mechanics 2 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 1 International Journal of Engineering Science 1 Journal of Mathematical Physics 1 Nonlinearity 1 Applied Mathematics and Optimization 1 Calcolo 1 Czechoslovak Mathematical Journal 1 International Journal for Numerical Methods in Engineering 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematics and Computers in Simulation 1 Mathematika 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Applied Mathematics and Mechanics. (English Edition) 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Journal of Scientific Computing 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Applications of Mathematics 1 International Journal of Computer Mathematics 1 Journal of Elasticity 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Archive of Applied Mechanics 1 Computational Optimization and Applications 1 Communications in Numerical Methods in Engineering 1 Electronic Journal of Differential Equations (EJDE) 1 St. Petersburg Mathematical Journal 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Mathematics and Mechanics of Solids 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Acta Mathematica Sinica. English Series 1 Differential Equations 1 Matematicheskoe Modelirovanie 1 SIAM Journal on Applied Dynamical Systems 1 Multiscale Modeling & Simulation 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Boundary Value Problems 1 Waves in Random and Complex Media 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Analysis and Mathematical Physics 1 Mathematical Control and Related Fields 1 Evolution Equations and Control Theory 1 International Journal of Partial Differential Equations 1 Electronic Research Archive
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#### Cited in 28 Fields

 169 Numerical analysis (65-XX) 147 Partial differential equations (35-XX) 58 Integral equations (45-XX) 57 Optics, electromagnetic theory (78-XX) 38 Approximations and expansions (41-XX) 24 Mechanics of deformable solids (74-XX) 17 Operator theory (47-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 15 Fluid mechanics (76-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 12 Potential theory (31-XX) 9 Functional analysis (46-XX) 5 Ordinary differential equations (34-XX) 5 Classical thermodynamics, heat transfer (80-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Functions of a complex variable (30-XX) 3 Special functions (33-XX) 3 Probability theory and stochastic processes (60-XX) 3 Quantum theory (81-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Abstract harmonic analysis (43-XX) 2 Biology and other natural sciences (92-XX) 1 Real functions (26-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX)