Edit Profile (opens in new tab) Petrova, Guergana Co-Author Distance Author ID: petrova.guergana Published as: Petrova, Guergana; Petrova, G. Homepage: https://www.math.tamu.edu/~gpetrova/ External Links: MGP Documents Indexed: 61 Publications since 1997, including 3 Additional arXiv Preprints Co-Authors: 47 Co-Authors with 56 Joint Publications 1,161 Co-Co-Authors all top 5 Co-Authors 5 single-authored 22 DeVore, Ronald A. 17 Kurganov, Alexander 16 Wojtaszczyk, Przemyslaw 7 Cohen, Albert 5 Bonito, Andrea 5 Boyanov, Borislav Dechev 4 Binev, Peter G. 3 Chertock, Alina E. 3 Dahmen, Wolfgang A. 3 Foucart, Simon 3 Popov, Boyan 2 Bryson, Steve 2 Daubechies, Ingrid Chantal 2 Guignard, Diane 2 Hielsberg, Matthew 2 Jantsch, Peter 2 Karni, Smadar 2 Nguyen, Hao 1 Bechler, Paweł 1 Clack, Billy 1 Dimitrov, Dimitar K. 1 Doering, Charles Rogers 1 Dontcheva, Lubomira A. 1 Dym, Nadav 1 Epshteyn, Yekaterina 1 Faigenbaum-Golovin, Shira 1 Gao, Zheming 1 Hanin, B. 1 Hanin, Boris L. 1 Jimenez, David 1 Johnston, Hans 1 Kamont, Anna 1 Kirr, Eduard 1 Kovalsky, Shahar Z. 1 Levy, Doron 1 Lin, Kung-Chin 1 Mullendore, G. L. 1 Nikolov, Geno P. 1 Noelle, Sebastian 1 Otero, Jesse 1 Owens, Luke 1 Park, Josiah 1 Sober, Barak 1 Sood, Alok 1 Temlyakov, Vladimir Nikolaevich 1 Welper, Gerrit 1 Worthing, Rodney A. all top 5 Serials 6 Constructive Approximation 4 Calcolo 4 Journal of Computational and Applied Mathematics 3 SIAM Journal on Scientific Computing 2 Journal of Approximation Theory 2 Numerische Mathematik 2 Journal of Scientific Computing 2 SIAM Journal on Mathematical Analysis 2 Applied and Computational Harmonic Analysis 2 East Journal on Approximations 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Foundations of Computational Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Communications on Pure and Applied Mathematics 1 IEEE Transactions on Information Theory 1 IMA Journal of Numerical Analysis 1 International Journal for Numerical Methods in Fluids 1 Journal of Computational Physics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Analysis and Applications 1 BIT 1 Transactions of the American Mathematical Society 1 Numerical Methods for Partial Differential Equations 1 Journal of the American Mathematical Society 1 Communications in Partial Differential Equations 1 Methods and Applications of Analysis 1 Communications in Mathematical Sciences 1 Acta Numerica 1 SIAM Journal on Imaging Sciences 1 SIAM/ASA Journal on Uncertainty Quantification 1 Pure and Applied Functional Analysis 1 Mathematics of Climate and Weather Forecasting all top 5 Fields 30 Numerical analysis (65-XX) 24 Approximations and expansions (41-XX) 15 Partial differential equations (35-XX) 10 Fluid mechanics (76-XX) 6 Computer science (68-XX) 5 Functional analysis (46-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Operations research, mathematical programming (90-XX) 3 Information and communication theory, circuits (94-XX) 2 Statistics (62-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 50 Publications have been cited 1,304 times in 932 Documents Cited by ▼ Year ▼ Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations. Zbl 0998.65091 Kurganov, Alexander; Noelle, Sebastian; Petrova, Guergana 208 2001 Convergence rates for greedy algorithms in reduced basis methods. Zbl 1229.65193 Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw 151 2011 A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system. Zbl 1226.76008 Kurganov, Alexander; Petrova, Guergana 147 2007 Adaptive semidiscrete central-upwind schemes for nonconvex hyperbolic conservation laws. Zbl 1154.65356 Kurganov, Alexander; Petrova, Guergana; Popov, Bojan 66 2007 Greedy algorithms for reduced bases in Banach spaces. Zbl 1276.41021 DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw 62 2013 Well-balanced positivity preserving central-upwind scheme on triangular grids for the Saint-Venant system. Zbl 1267.76068 Bryson, Steve; Epshteyn, Yekaterina; Kurganov, Alexander; Petrova, Guergana 54 2011 Central-upwind schemes on triangular grids for hyperbolic systems of conservation laws. Zbl 1071.65122 Kurganov, Alexander; Petrova, Guergana 45 2005 Central-upwind schemes for two-layer shallow water equations. Zbl 1188.76230 Kurganov, Alexander; Petrova, Guergana 37 2009 A third-order semi-discrete genuinely multidimensional central scheme for hyperbolic conservation laws and related problems. Zbl 0987.65090 Kurganov, Alexander; Petrova, Guergana 37 2001 High-Rayleigh-number convection in a fluid-saturated porous layer. Zbl 1134.76462 Otero, Jesse; Dontcheva, Lubomira A.; Johnston, Hans; Worthing, Rodney A.; Kurganov, Alexander; Petrova, Guergana; Doering, Charles R. 36 2004 Nonlinear approximation and (deep) ReLU networks. Zbl 1501.41003 Daubechies, I.; DeVore, R.; Foucart, S.; Hanin, B.; Petrova, G. 36 2022 Data assimilation in reduced modeling. Zbl 06736493 Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw 34 2017 A smoothness indicator for adaptive algorithms for hyperbolic systems. Zbl 0998.65092 Karni, Smadar; Kurganov, Alexander; Petrova, Guergana 31 2002 Neural network approximation. Zbl 1518.65022 DeVore, Ronald; Hanin, Boris; Petrova, Guergana 28 2021 Approximation of functions of few variables in high dimensions. Zbl 1210.41009 DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw 25 2011 The averaging lemma. Zbl 1001.35079 DeVore, Ronald; Petrova, Guergana 23 2001 Instance-optimality in probability with an \(\ell _1\)-minimization decoder. Zbl 1177.94104 DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw 19 2009 Linear transport equations with discontinuous coefficients. Zbl 0992.35104 Petrova, Guergana; Popov, Bojan 18 1999 Compressible two-phase flows by central and upwind schemes. Zbl 1079.76045 Karni, Smadar; Kirr, Eduard; Kurganov, Alexander; Petrova, Guergana 17 2004 Fast explicit operator splitting method for convection-diffusion equations. Zbl 1157.65436 Chertock, Alina; Kurganov, Alexander; Petrova, Guergana 17 2009 Central schemes and contact discontinuities. Zbl 0972.65055 Kurganov, Alexander; Petrova, Guergana 15 2000 On minimal cubature formulae for product weight functions. Zbl 0887.41026 Bojanov, Borislav; Petrova, Guergana 14 1997 Data assimilation and sampling in Banach spaces. Zbl 1393.46017 DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw 13 2017 Finite-volume-particle methods for models of transport of pollutant in shallow water. Zbl 1101.76036 Chertock, Alina; Kurganov, Alexander; Petrova, Guergana 12 2006 Diffusion coefficients estimation for elliptic partial differential equations. Zbl 1371.35340 Bonito, Andrea; Cohen, Albert; DeVore, Ronald; Petrova, Guergana; Welper, Gerrit 12 2017 Uniqueness of the Gaussian quadrature for a ball. Zbl 0979.41020 Bojanov, B.; Petrova, G. 11 2000 Numerical integration over a disc. A new Gaussian quadrature formula. Zbl 0911.65015 Bojanov, Borislav; Petrova, Guergana 11 1998 Semi-discrete central-upwind schemes with reduced dissipation for Hamilton-Jacobi equations. Zbl 1066.65083 Bryson, Steve; Kurganov, Alexander; Levy, Doron; Petrova, Guergana 11 2005 Best basis selection for approximation in \(L_p\). Zbl 1067.41012 DeVore, Ronald; Petrova, Guergana; Temlyakov, Vladimir 11 2003 Quadrature formulas for Fourier coefficients. Zbl 1170.65015 Bojanov, Borislav; Petrova, Guergana 10 2009 Computing a quantity of interest from observational data. Zbl 1414.41019 DeVore, Ronald; Foucart, Simon; Petrova, Guergana; Wojtaszczyk, Przemyslaw 10 2019 Greedy strategies for convex optimization. Zbl 1371.65057 Nguyen, Hao; Petrova, Guergana 9 2017 Cubature formulae for spheres, simplices and balls. Zbl 1046.41015 Petrova, Guergana 8 2004 Greedy wavelet projections are bounded on BV. Zbl 1134.42022 Bechler, Paweł; DeVore, Ronald; Kamont, Anna; Petrova, Guergana; Wojtaszczyk, Przemysław 6 2007 Adaptive central-upwind schemes for Hamilton-Jacobi equations with nonconvex Hamiltonians. Zbl 1115.65093 Kurganov, Alexander; Petrova, Guergana 6 2006 Generalized Gauss-Radau and Gauss-Lobatto formulas with Jacobi weight functions. Zbl 1360.65085 Petrova, Guergana 6 2017 Rescaled pure greedy algorithm for Hilbert and Banach spaces. Zbl 1350.41022 Petrova, Guergana 6 2016 Nonlinear methods for model reduction. Zbl 1476.41004 Bonito, Andrea; Cohen, Albert; Devore, Ronald; Guignard, Diane; Jantsch, Peter; Petrova, Guergana 6 2021 Linear transport equations with \(\mu\)-monotone coefficients. Zbl 0980.35003 Petrova, Guergana; Popov, Bojan 5 2001 Fast explicit operator splitting method. Application to the polymer system. Zbl 1374.82033 Chertock, Alina; Kurganov, Alexander; Petrova, Guergana 5 2005 Optimal stable nonlinear approximation. Zbl 1507.41010 Cohen, Albert; DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw 5 2022 Uniqueness of the Gaussian extended cubature for polyharmonic functions. Zbl 1111.41023 Petrova, Guergana 4 2003 Polynomial approximation of anisotropic analytic functions of several variables. Zbl 1462.41003 Bonito, Andrea; DeVore, Ronald; Guignard, Diane; Jantsch, Peter; Petrova, Guergana 4 2021 Finding the minimum of a function. Zbl 1297.65068 Cohen, Albert; Devore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemysław 3 2013 Rescaled pure greedy algorithm for convex optimization. Zbl 1415.65137 Gao, Zheming; Petrova, Guergana 3 2019 Extended Gaussian type cubatures for the ball. Zbl 1321.65039 Nguyen, Hao; Petrova, Guergana 2 2015 Quadrature formula for computed tomography. Zbl 1209.33006 Bojanov, Borislav; Petrova, Guergana 2 2010 Cubature formulae for the sphere and the ball in \(\mathbb R^n\). Zbl 1036.41017 Petrova, Guergana 1 2003 Anisotropic smoothness spaces via level sets. Zbl 1150.41321 DeVore, Ronald A.; Petrova, Guergana; Wojtaszczyk, Przemysław 1 2008 On matching point configurations. Zbl 1469.65063 Jiménez, David; Petrova, Guergana 1 2014 Nonlinear approximation and (deep) ReLU networks. Zbl 1501.41003 Daubechies, I.; DeVore, R.; Foucart, S.; Hanin, B.; Petrova, G. 36 2022 Optimal stable nonlinear approximation. Zbl 1507.41010 Cohen, Albert; DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw 5 2022 Neural network approximation. Zbl 1518.65022 DeVore, Ronald; Hanin, Boris; Petrova, Guergana 28 2021 Nonlinear methods for model reduction. Zbl 1476.41004 Bonito, Andrea; Cohen, Albert; Devore, Ronald; Guignard, Diane; Jantsch, Peter; Petrova, Guergana 6 2021 Polynomial approximation of anisotropic analytic functions of several variables. Zbl 1462.41003 Bonito, Andrea; DeVore, Ronald; Guignard, Diane; Jantsch, Peter; Petrova, Guergana 4 2021 Computing a quantity of interest from observational data. Zbl 1414.41019 DeVore, Ronald; Foucart, Simon; Petrova, Guergana; Wojtaszczyk, Przemyslaw 10 2019 Rescaled pure greedy algorithm for convex optimization. Zbl 1415.65137 Gao, Zheming; Petrova, Guergana 3 2019 Data assimilation in reduced modeling. Zbl 06736493 Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw 34 2017 Data assimilation and sampling in Banach spaces. Zbl 1393.46017 DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw 13 2017 Diffusion coefficients estimation for elliptic partial differential equations. Zbl 1371.35340 Bonito, Andrea; Cohen, Albert; DeVore, Ronald; Petrova, Guergana; Welper, Gerrit 12 2017 Greedy strategies for convex optimization. Zbl 1371.65057 Nguyen, Hao; Petrova, Guergana 9 2017 Generalized Gauss-Radau and Gauss-Lobatto formulas with Jacobi weight functions. Zbl 1360.65085 Petrova, Guergana 6 2017 Rescaled pure greedy algorithm for Hilbert and Banach spaces. Zbl 1350.41022 Petrova, Guergana 6 2016 Extended Gaussian type cubatures for the ball. Zbl 1321.65039 Nguyen, Hao; Petrova, Guergana 2 2015 On matching point configurations. Zbl 1469.65063 Jiménez, David; Petrova, Guergana 1 2014 Greedy algorithms for reduced bases in Banach spaces. Zbl 1276.41021 DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw 62 2013 Finding the minimum of a function. Zbl 1297.65068 Cohen, Albert; Devore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemysław 3 2013 Convergence rates for greedy algorithms in reduced basis methods. Zbl 1229.65193 Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw 151 2011 Well-balanced positivity preserving central-upwind scheme on triangular grids for the Saint-Venant system. Zbl 1267.76068 Bryson, Steve; Epshteyn, Yekaterina; Kurganov, Alexander; Petrova, Guergana 54 2011 Approximation of functions of few variables in high dimensions. Zbl 1210.41009 DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw 25 2011 Quadrature formula for computed tomography. Zbl 1209.33006 Bojanov, Borislav; Petrova, Guergana 2 2010 Central-upwind schemes for two-layer shallow water equations. Zbl 1188.76230 Kurganov, Alexander; Petrova, Guergana 37 2009 Instance-optimality in probability with an \(\ell _1\)-minimization decoder. Zbl 1177.94104 DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw 19 2009 Fast explicit operator splitting method for convection-diffusion equations. Zbl 1157.65436 Chertock, Alina; Kurganov, Alexander; Petrova, Guergana 17 2009 Quadrature formulas for Fourier coefficients. Zbl 1170.65015 Bojanov, Borislav; Petrova, Guergana 10 2009 Anisotropic smoothness spaces via level sets. Zbl 1150.41321 DeVore, Ronald A.; Petrova, Guergana; Wojtaszczyk, Przemysław 1 2008 A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system. Zbl 1226.76008 Kurganov, Alexander; Petrova, Guergana 147 2007 Adaptive semidiscrete central-upwind schemes for nonconvex hyperbolic conservation laws. Zbl 1154.65356 Kurganov, Alexander; Petrova, Guergana; Popov, Bojan 66 2007 Greedy wavelet projections are bounded on BV. Zbl 1134.42022 Bechler, Paweł; DeVore, Ronald; Kamont, Anna; Petrova, Guergana; Wojtaszczyk, Przemysław 6 2007 Finite-volume-particle methods for models of transport of pollutant in shallow water. Zbl 1101.76036 Chertock, Alina; Kurganov, Alexander; Petrova, Guergana 12 2006 Adaptive central-upwind schemes for Hamilton-Jacobi equations with nonconvex Hamiltonians. Zbl 1115.65093 Kurganov, Alexander; Petrova, Guergana 6 2006 Central-upwind schemes on triangular grids for hyperbolic systems of conservation laws. Zbl 1071.65122 Kurganov, Alexander; Petrova, Guergana 45 2005 Semi-discrete central-upwind schemes with reduced dissipation for Hamilton-Jacobi equations. Zbl 1066.65083 Bryson, Steve; Kurganov, Alexander; Levy, Doron; Petrova, Guergana 11 2005 Fast explicit operator splitting method. Application to the polymer system. Zbl 1374.82033 Chertock, Alina; Kurganov, Alexander; Petrova, Guergana 5 2005 High-Rayleigh-number convection in a fluid-saturated porous layer. Zbl 1134.76462 Otero, Jesse; Dontcheva, Lubomira A.; Johnston, Hans; Worthing, Rodney A.; Kurganov, Alexander; Petrova, Guergana; Doering, Charles R. 36 2004 Compressible two-phase flows by central and upwind schemes. Zbl 1079.76045 Karni, Smadar; Kirr, Eduard; Kurganov, Alexander; Petrova, Guergana 17 2004 Cubature formulae for spheres, simplices and balls. Zbl 1046.41015 Petrova, Guergana 8 2004 Best basis selection for approximation in \(L_p\). Zbl 1067.41012 DeVore, Ronald; Petrova, Guergana; Temlyakov, Vladimir 11 2003 Uniqueness of the Gaussian extended cubature for polyharmonic functions. Zbl 1111.41023 Petrova, Guergana 4 2003 Cubature formulae for the sphere and the ball in \(\mathbb R^n\). Zbl 1036.41017 Petrova, Guergana 1 2003 A smoothness indicator for adaptive algorithms for hyperbolic systems. Zbl 0998.65092 Karni, Smadar; Kurganov, Alexander; Petrova, Guergana 31 2002 Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations. Zbl 0998.65091 Kurganov, Alexander; Noelle, Sebastian; Petrova, Guergana 208 2001 A third-order semi-discrete genuinely multidimensional central scheme for hyperbolic conservation laws and related problems. Zbl 0987.65090 Kurganov, Alexander; Petrova, Guergana 37 2001 The averaging lemma. Zbl 1001.35079 DeVore, Ronald; Petrova, Guergana 23 2001 Linear transport equations with \(\mu\)-monotone coefficients. Zbl 0980.35003 Petrova, Guergana; Popov, Bojan 5 2001 Central schemes and contact discontinuities. Zbl 0972.65055 Kurganov, Alexander; Petrova, Guergana 15 2000 Uniqueness of the Gaussian quadrature for a ball. Zbl 0979.41020 Bojanov, B.; Petrova, G. 11 2000 Linear transport equations with discontinuous coefficients. Zbl 0992.35104 Petrova, Guergana; Popov, Bojan 18 1999 Numerical integration over a disc. A new Gaussian quadrature formula. Zbl 0911.65015 Bojanov, Borislav; Petrova, Guergana 11 1998 On minimal cubature formulae for product weight functions. Zbl 0887.41026 Bojanov, Borislav; Petrova, Guergana 14 1997 all cited Publications top 5 cited Publications all top 5 Cited by 1,474 Authors 67 Kurganov, Alexander 25 Chertock, Alina E. 24 Petrova, Guergana 17 Cohen, Albert 16 DeVore, Ronald A. 15 Guermond, Jean-Luc 15 Popov, Boyan 14 Dahmen, Wolfgang A. 14 Dong, Jian 14 Liu, Xin 13 Liu, Yongle 12 Cai, Li 12 Feng, Jianhu 12 Foucart, Simon 12 Wojtaszczyk, Przemyslaw 11 Chen, Yanlai 10 Chen, Peng 10 Schwab, Christoph 10 Spalević, Miodrag M. 10 Xie, Wenxian 9 Hesthaven, Jan S. 9 Maday, Yvon 9 Mula, Olga 9 Narayan, Akil C. 9 Rozza, Gianluigi 8 Haasdonk, Bernard 8 Kröker, Ilja 8 Kuzmin, Dmitri 8 Mohammadian, Abdolmajid M. 8 Tadmor, Eitan 8 Wu, Tong 7 Abdulle, Assyr 7 Chu, Shaoshuai 7 Karni, Smadar 7 Li, Dingfang 7 Morales de Luna, Tomás 7 Xing, Yulong 6 Berthon, Christophe 6 Chen, Guoxian 6 Chini, Gregory P. 6 De Luna, Manuel Quezada 6 Epshteyn, Yekaterina 6 Fernández-Nieto, Enrique Domingo 6 Lukáčová-Medviďová, Mária 6 Patera, Anthony T. 6 Pejčev, Aleksandar V. 6 Qiu, Jianxian 6 Quarteroni, Alfio M. 6 Roberts, Stephen Gwyn 6 Vybíral, Jan 6 Zhou, Jun 6 Zia, Saqib 6 Zuazua, Enrique 5 Abreu, Eduardo 5 Beljadid, Abdelaziz 5 Chalons, Christophe 5 Escalante, Cipriano 5 Georgieva, Irina 5 Harris, Lawrence A. 5 Hernández-Dueñas, Gerardo 5 Jabin, Pierre-Emmanuel 5 Levy, Doron 5 Manzoni, Andrea 5 Noelle, Sebastian 5 Ostapenko, Vladimir Viktorovich 5 Qian, Xu 5 Rohde, Christian 5 Temlyakov, Vladimir Nikolaevich 5 Wen, Baole 5 Zahran, Yousef Hashem 4 Abgrall, Rémi 4 Ambrosio, Luigi 4 Antil, Harbir 4 Bai, Yun 4 Balbás, Jorge 4 Brodtkorb, André Rigland 4 Bryson, Steve 4 Bürger, Raimund 4 Castro-Díaz, Manuel Jesús 4 Castro, Manuel J. 4 Daubechies, Ingrid Chantal 4 Dehghan Takht Fooladi, Mehdi 4 Doering, Charles Rogers 4 Don, Wai Sun 4 Duran, Arnaud 4 Fornasier, Massimo 4 Foucher, Françoise 4 Hansen, Anders C. 4 Herty, Michael Matthias 4 Hewitt, Duncan R. 4 Hofreither, Clemens 4 Li, Fengyan 4 Li, Maojun 4 Lie, Knut-Andreas 4 Liu, Yingjie 4 Mungkasi, Sudi 4 Munkejord, Svend Tollak 4 Nazarov, Murtazo 4 Nowak, Wolfgang 4 Ohlberger, Mario ...and 1,374 more Authors all top 5 Cited in 190 Serials 98 Journal of Computational Physics 80 Journal of Scientific Computing 50 Computers and Fluids 39 SIAM Journal on Scientific Computing 30 Computer Methods in Applied Mechanics and Engineering 29 Journal of Fluid Mechanics 23 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 20 Applied Numerical Mathematics 19 Journal of Computational and Applied Mathematics 18 Constructive Approximation 17 Applied Mathematics and Computation 16 Computers & Mathematics with Applications 16 Journal of Approximation Theory 15 Advances in Computational Mathematics 14 Numerische Mathematik 13 Mathematics of Computation 13 Foundations of Computational Mathematics 12 SIAM Journal on Numerical Analysis 11 Applied and Computational Harmonic Analysis 11 SIAM/ASA Journal on Uncertainty Quantification 9 Journal of Complexity 9 Computational Geosciences 9 Communications in Computational Physics 8 BIT 8 Calcolo 8 Numerical Methods for Partial Differential Equations 8 Applied Mathematical Modelling 7 International Journal for Numerical Methods in Fluids 6 Computer Physics Communications 6 Inverse Problems 6 Mathematics and Computers in Simulation 6 Communications in Nonlinear Science and Numerical Simulation 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Journal of Mathematical Analysis and Applications 5 International Journal for Numerical Methods in Engineering 5 Journal of Functional Analysis 5 SIAM Journal on Mathematical Analysis 5 International Journal of Computational Fluid Dynamics 5 International Journal of Wavelets, Multiresolution and Information Processing 4 Wave Motion 4 Proceedings of the American Mathematical Society 4 Computational Mathematics and Mathematical Physics 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 4 Acta Numerica 3 Physica D 3 Revista Matemática Iberoamericana 3 Applied Mathematics Letters 3 Linear Algebra and its Applications 3 SIAM Review 3 Computational and Applied Mathematics 3 ETNA. Electronic Transactions on Numerical Analysis 3 The Journal of Fourier Analysis and Applications 3 Mathematical Problems in Engineering 3 European Journal of Mechanics. B. Fluids 3 Matematicheskoe Modelirovanie 3 Journal of Numerical Mathematics 3 Multiscale Modeling & Simulation 3 Analysis and Applications (Singapore) 3 Journal of Hyperbolic Differential Equations 3 Oberwolfach Reports 3 Analysis & PDE 3 Research in the Mathematical Sciences 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 SMAI Journal of Computational Mathematics 3 Communications on Applied Mathematics and Computation 3 SIAM Journal on Mathematics of Data Science 2 Classical and Quantum Gravity 2 Physics Letters. A 2 Systems & Control Letters 2 COMPEL 2 Neural Networks 2 Applications of Mathematics 2 Journal of Mathematical Imaging and Vision 2 Computational Optimization and Applications 2 Physics of Fluids 2 Doklady Mathematics 2 Computing and Visualization in Science 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Vietnam Journal of Mathematics 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 The ANZIAM Journal 2 Archives of Computational Methods in Engineering 2 Computational Methods in Applied Mathematics 2 Central European Journal of Mathematics 2 International Journal of Computational Methods 2 International Journal of Numerical Analysis and Modeling 2 Networks and Heterogeneous Media 2 SIAM Journal on Imaging Sciences 2 Advances in Mathematical Physics 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Analysis Mathematica 1 Geophysical and Astrophysical Fluid Dynamics 1 Journal of Engineering Mathematics 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Russian Mathematical Surveys 1 Scandinavian Journal of Statistics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Theoretical and Computational Fluid Dynamics ...and 90 more Serials all top 5 Cited in 48 Fields 599 Numerical analysis (65-XX) 413 Fluid mechanics (76-XX) 364 Partial differential equations (35-XX) 119 Approximations and expansions (41-XX) 79 Computer science (68-XX) 57 Geophysics (86-XX) 41 Statistics (62-XX) 35 Probability theory and stochastic processes (60-XX) 32 Information and communication theory, circuits (94-XX) 31 Functional analysis (46-XX) 31 Operations research, mathematical programming (90-XX) 30 Harmonic analysis on Euclidean spaces (42-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 22 Mechanics of deformable solids (74-XX) 22 Classical thermodynamics, heat transfer (80-XX) 20 Biology and other natural sciences (92-XX) 19 Statistical mechanics, structure of matter (82-XX) 17 Optics, electromagnetic theory (78-XX) 15 Operator theory (47-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 12 Dynamical systems and ergodic theory (37-XX) 12 Systems theory; control (93-XX) 10 Real functions (26-XX) 9 Special functions (33-XX) 9 Ordinary differential equations (34-XX) 7 Mechanics of particles and systems (70-XX) 4 Integral equations (45-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 General and overarching topics; collections (00-XX) 3 Functions of a complex variable (30-XX) 3 Integral transforms, operational calculus (44-XX) 3 Convex and discrete geometry (52-XX) 3 General topology (54-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Relativity and gravitational theory (83-XX) 2 Potential theory (31-XX) 2 Quantum theory (81-XX) 2 Astronomy and astrophysics (85-XX) 2 Mathematics education (97-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year