SIAM Journal on Numerical Analysis Short Title: SIAM J. Numer. Anal. Publisher: Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA ISSN: 0036-1429; 1095-7170/e Online: http://epubs.siam.org/loi/sjnaam Predecessor: Journal of the Society for Industrial and Applied Mathematics. Series B, Numerical Analysis Comments: Indexed cover-to-cover Documents Indexed: 5,765 Publications (since 1966) References Indexed: 925 Publications with 32,203 References. all top 5 Latest Issues 60, No. 2 (2022) 60, No. 1 (2022) 59, No. 6 (2021) 59, No. 5 (2021) 59, No. 4 (2021) 59, No. 3 (2021) 59, No. 2 (2021) 59, No. 1 (2021) 58, No. 6 (2020) 58, No. 5 (2020) 58, No. 4 (2020) 58, No. 3 (2020) 58, No. 2 (2020) 58, No. 1 (2020) 57, No. 6 (2019) 57, No. 5 (2019) 57, No. 4 (2019) 57, No. 3 (2019) 57, No. 2 (2019) 57, No. 1 (2019) 56, No. 6 (2018) 56, No. 5 (2018) 56, No. 4 (2018) 56, No. 3 (2018) 56, No. 2 (2018) 56, No. 1 (2018) 55, No. 6 (2017) 55, No. 5 (2017) 55, No. 4 (2017) 55, No. 3 (2017) 55, No. 2 (2017) 55, No. 1 (2017) 54, No. 6 (2016) 54, No. 5 (2016) 54, No. 4 (2016) 54, No. 3 (2016) 54, No. 2 (2016) 54, No. 1 (2016) 53, No. 6 (2015) 53, No. 5 (2015) 53, No. 4 (2015) 53, No. 3 (2015) 53, No. 2 (2015) 53, No. 1 (2015) 52, No. 6 (2014) 52, No. 5 (2014) 52, No. 4 (2014) 52, No. 3 (2014) 52, No. 2 (2014) 52, No. 1 (2014) 51, No. 6 (2013) 51, No. 5 (2013) 51, No. 4 (2013) 51, No. 3 (2013) 51, No. 2 (2013) 51, No. 1 (2013) 50, No. 6 (2012) 50, No. 5 (2012) 50, No. 4 (2012) 50, No. 3 (2012) 50, No. 2 (2012) 50, No. 1 (2012) 49, No. 6 (2011) 49, No. 5 (2011) 49, No. 4 (2011) 49, No. 3 (2011) 49, No. 2 (2011) 49, No. 1 (2011) 48, No. 6 (2010) 48, No. 5 (2010) 48, No. 4 (2010) 48, No. 3 (2010) 48, No. 2 (2010) 48, No. 1 (2010) 47, No. 6 (2010) 47, No. 5 (2009) 47, No. 4 (2009) 47, No. 3 (2009) 47, No. 2 (2009) 47, No. 1 (2009) 46, No. 6 (2008) 46, No. 5 (2008) 46, No. 4 (2008) 46, No. 3 (2008) 46, No. 2 (2008) 46, No. 1 (2008) 45, No. 6 (2007) 45, No. 5 (2007) 45, No. 4 (2007) 45, No. 3 (2007) 45, No. 2 (2007) 45, No. 1 (2007) 44, No. 6 (2006) 44, No. 5 (2006) 44, No. 4 (2006) 44, No. 3 (2006) 44, No. 2 (2006) 44, No. 1 (2006) 43, No. 6 (2006) 43, No. 5 (2005) ...and 136 more Volumes all top 5 Authors 38 Carstensen, Carsten 37 Manteuffel, Thomas A. 37 Wheeler, Mary Fanett 36 Babuška, Ivo 32 Du, Qiang 31 Cockburn, Bernardo 29 Cai, Zhiqiang 29 McCormick, Steve Fahrney 29 Nochetto, Ricardo Horacio 29 Shu, Chi-Wang 25 Sloan, Ian Hugh 24 Gunzburger, Max D. 24 Shen, Jie 23 Schwab, Christoph 23 Süli, Endre E. 22 Ewing, Richard Edward 22 Sun, Weiwei 21 Ainsworth, Mark 20 Li, Buyang 20 Rheinboldt, Werner C. 20 Widlund, Olof B. 19 Bartels, Sören 19 Guermond, Jean-Luc 19 Osher, Stanley Joel 19 Starke, Gerhard 19 Tadmor, Eitan 18 Burman, Erik 18 Wohlmuth, Barbara I. 17 Bank, Randolph E. 17 Feng, Xiaobing 17 Kelley, Carl T. 17 Layton, William J. 17 Parter, Seymour V. 17 Russell, Robert D. 17 Schumaker, Larry L. 17 Wang, Junping 16 Durán, Ricardo G. 16 Fairweather, Graeme 16 Lazarov, Raytcho D. 16 Quarteroni, Alfio M. 16 Walkington, Noel J. 15 Arbogast, Todd 15 Bernardi, Christine 15 Maday, Yvon 15 Prohl, Andreas 15 Thomée, Vidar 15 Zhang, Zhimin 14 Atkinson, Kendall Eugene 14 Barrett, John W. 14 Brunner, Hermann 14 Dahmen, Wolfgang A. 14 Dawson, Clint N. 14 Ern, Alexandre 14 Gottlieb, David I. 14 Kreiss, Heinz-Otto 14 Liu, Steve Wenbin 14 Lubich, Christian 14 Reusken, Arnold 14 Stroud, Arthur H. 14 Tang, Tao 14 Xu, Jinchao 13 Beirão da Veiga, Lourenço 13 Bialecki, Bernard 13 Conn, Andrew Roger 13 Demkowicz, Leszek F. 13 Dupont, Todd F. 13 Graham, Ivan G. 13 Johnson, Claes G. L. 13 Lin, Yanping 13 Makridakis, Charalambos G. 13 Nicolaides, Roy A. 13 Schötzau, Dominik 12 Ascher, Uri M. 12 Bochev, Pavel B. 12 Brenner, Susanne Cecelia 12 Burrage, Kevin 12 Chan, Tony Fan-Cheong 12 Demlow, Alan 12 Falk, Richard S. 12 Gander, Martin Jakob 12 Joly, Patrick 12 Luskin, Mitchell 12 Ma, Heping 12 Petzold, Linda Ruth 12 Sauter, Stefan A. 12 Stuart, Andrew M. 12 Trefethen, Lloyd Nicholas 12 Yotov, Ivan 11 Bramble, James H. 11 Dick, Josef 11 Dryja, Maksymilian 11 Gatica, Gabriel N. 11 Gopalakrishnan, Jayadeep 11 Guo, Benqi 11 Hiptmair, Ralf 11 Hong, Jialin 11 Jin, Shi 11 Keller, Herbert Bishop 11 Kellogg, Bruce 11 LeVeque, Randall J. ...and 4,984 more Authors all top 5 Fields 5,181 Numerical analysis (65-XX) 2,261 Partial differential equations (35-XX) 736 Fluid mechanics (76-XX) 447 Approximations and expansions (41-XX) 443 Ordinary differential equations (34-XX) 253 Mechanics of deformable solids (74-XX) 246 Integral equations (45-XX) 243 Calculus of variations and optimal control; optimization (49-XX) 200 Probability theory and stochastic processes (60-XX) 172 Operations research, mathematical programming (90-XX) 160 Optics, electromagnetic theory (78-XX) 155 Operator theory (47-XX) 141 Statistical mechanics, structure of matter (82-XX) 132 Linear and multilinear algebra; matrix theory (15-XX) 101 Dynamical systems and ergodic theory (37-XX) 82 Computer science (68-XX) 74 Harmonic analysis on Euclidean spaces (42-XX) 61 Functional analysis (46-XX) 57 Biology and other natural sciences (92-XX) 54 Functions of a complex variable (30-XX) 54 Systems theory; control (93-XX) 46 Real functions (26-XX) 46 Special functions (33-XX) 45 Statistics (62-XX) 41 Global analysis, analysis on manifolds (58-XX) 40 Geophysics (86-XX) 38 Quantum theory (81-XX) 38 Information and communication theory, circuits (94-XX) 36 Potential theory (31-XX) 36 Classical thermodynamics, heat transfer (80-XX) 35 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 34 Mechanics of particles and systems (70-XX) 28 Integral transforms, operational calculus (44-XX) 23 Number theory (11-XX) 21 Differential geometry (53-XX) 16 Difference and functional equations (39-XX) 14 Sequences, series, summability (40-XX) 12 Combinatorics (05-XX) 10 Astronomy and astrophysics (85-XX) 9 Field theory and polynomials (12-XX) 8 Algebraic geometry (14-XX) 5 Commutative algebra (13-XX) 5 Convex and discrete geometry (52-XX) 4 Algebraic topology (55-XX) 3 Group theory and generalizations (20-XX) 3 Topological groups, Lie groups (22-XX) 3 Measure and integration (28-XX) 3 Manifolds and cell complexes (57-XX) 3 Relativity and gravitational theory (83-XX) 2 History and biography (01-XX) 2 Geometry (51-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Associative rings and algebras (16-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 5,408 Publications have been cited 127,125 times in 62,822 Documents Cited by ▼ Year ▼ Unified analysis of discontinuous Galerkin methods for elliptic problems. Zbl 1008.65080Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, L. Donatella 1,174 2002 The local discontinuous Galerkin method for time-dependent convection-diffusion systems. Zbl 0927.65118Cockburn, Bernardo; Shu, Chi-Wang 886 1998 On the construction and comparison of difference schemes. Zbl 0184.38503Strang, Gilbert 797 1968 Splitting algorithms for the sum of two nonlinear operators. Zbl 0426.65050Lions, Pierre-Louis; Mercier, B. 638 1979 An interior penalty finite element method with discontinuous elements. Zbl 0482.65060Arnold, Douglas N. 618 1982 The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. Zbl 0811.65083LeVeque, Randall J.; Li, Zhilin 572 1994 High resolution schemes using flux limiters for hyperbolic conservation laws. Zbl 0565.65048Sweby, P. K. 569 1984 Inexact Newton methods. Zbl 0478.65030Dembo, Ron S.; Eisenstat, Stanley C.; Steihaug, Trond 496 1982 A convergent adaptive algorithm for Poisson’s equation. Zbl 0854.65090Dörfler, Willy 484 1996 A nonmonotone line search technique for Newton’s method. Zbl 0616.65067Grippo, L.; Lampariello, F.; Lucidi, S. 477 1986 Unified hybridization of discontinuous Galerkin, mixed, and continuous Galerkin methods for second order elliptic problems. Zbl 1205.65312Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Lazarov, Raytcho 459 2009 Error estimates for adaptive finite element computations. Zbl 0398.65069Babuška, Ivo; Rheinboldt, W. C. 450 1978 Solution of sparse indefinite systems of linear equations. Zbl 0319.65025Paige, C. C.; Saunders, M. A. 427 1975 Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures. Zbl 0492.65051Douglas, Jim jun.; Russell, Thomas F. 407 1982 Finite element approximation of the nonstationary Navier-Stokes problem. I. Regularity of solutions and second-order error estimates for spatial discretization. Zbl 0487.76035Heywood, John G.; Rannacher, Rolf 388 1982 Implicit-explicit methods for time-dependent partial differential equations. Zbl 0841.65081Ascher, Uri M.; Ruuth, Steven J.; Wetton, Brian T. R. 372 1995 A stochastic collocation method for elliptic partial differential equations with random input data. Zbl 1151.65008Babuška, Ivo; Nobile, Fabio; Tempone, Raúl 355 2007 A space-time spectral method for the time fractional diffusion equation. Zbl 1193.35243Li, Xianjuan; Xu, Chuanju 346 2009 Finite-element approximation of the nonstationary Navier-Stokes problem. IV: Error analysis for second-order time discretization. Zbl 0694.76014Heywood, John G.; Rannacher, Rolf 340 1990 Two-grid discretization techniques for linear and nonlinear PDEs. Zbl 0860.65119Xu, Jinchao 329 1996 An elliptic collocation-finite element method with interior penalties. Zbl 0384.65058Wheeler, Mary Fanett 329 1978 Galerkin finite element approximations of stochastic elliptic partial differential equations. Zbl 1080.65003Babuska, Ivo; Tempone, Raúl; Zouraris, Georgios E. 328 2004 A sparse grid stochastic collocation method for partial differential equations with random input data. Zbl 1176.65137Nobile, F.; Tempone, R.; Webster, C. G. 306 2008 Strong convergence of Euler-type methods for nonlinear stochastic differential equations. Zbl 1026.65003Higham, Desmond J.; Mao, Xuerong; Stuart, Andrew M. 282 2002 Stability theory for systems of inequalities. II: Differentiable nonlinear systems. Zbl 0347.90050Robinson, Stephen M. 282 1976 An explicit finite difference method and a new von Neumann-type stability analysis for fractional diffusion equations. Zbl 1119.65379Yuste, S. B.; Acedo, L. 281 2005 Uniformly high-order accurate nonoscillatory schemes. I. Zbl 0627.65102Harten, Ami; Osher, Stanley 281 1987 The rotation of eigenvectors by a perturbation. III. Zbl 0198.47201Davis, Chandler; Kahan, W. M. 280 1970 High-resolution conservative algorithms for advection in incompressible flow. Zbl 0852.76057LeVeque, Randall J. 257 1996 Error analysis of a finite difference method on graded meshes for a time-fractional diffusion equation. Zbl 1362.65089Stynes, Martin; O’Riordan, Eugene; Gracia, José Luis 257 2017 Variational iterative methods for nonsymmetric systems of linear equations. Zbl 0524.65019Eisenstat, Stanley C.; Elman, Howard C.; Schultz, Martin H. 252 1983 Numerical methods for the variable-order fractional advection-diffusion equation with a nonlinear source term. Zbl 1204.26013Zhuang, P.; Liu, Fawang; Anh, V.; Turner, I. 251 2009 A well-balanced scheme for the numerical processing of source terms in hyperbolic equations. Zbl 0876.65064Greenberg, James M.; Le Roux, Alain-Yves 247 1996 High-order essentially nonoscillatory schemes for Hamilton-Jacobi equations. Zbl 0736.65066Osher, Stanley; Shu, Chi-Wang 246 1991 On the \(O(1/n)\) convergence rate of the Douglas-Rachford alternating direction method. Zbl 1245.90084He, Bingsheng; Yuan, Xiaoming 245 2012 Coupling fluid flow with porous media flow. Zbl 1037.76014Layton, William J.; Schieweck, Friedhelm; Yotov, Ivan 243 2003 On Krylov subspace approximations to the matrix exponential operator. Zbl 0888.65032Hochbruck, Marlis; Lubich, Christian 242 1997 Finite element method for the space and time fractional Fokker-Planck equation. Zbl 1416.65344Deng, Weihua 237 2009 Inexact and preconditioned Uzawa algorithms for saddle point problems. Zbl 0815.65041Elman, Howard C.; Golub, Gene H. 228 1994 A new class of optimal high-order strong-stability-preserving time discretization methods. Zbl 1020.65064Spiteri, Raymond J.; Ruuth, Steven J. 224 2002 An a priori error analysis of the local discontinuous Galerkin method for elliptic problems. Zbl 0987.65111Castillo, Paul; Cockburn, Bernardo; Perugia, Ilaria; Schötzau, Dominik 223 2000 An algorithm for generalized matrix eigenvalue problems. Zbl 0253.65019Moler, C. B.; Stewart, G. W. 222 1973 Quasi-optimal convergence rate for an adaptive finite element method. Zbl 1176.65122Cascon, J. Manuel; Kreuzer, Christian; Nochetto, Ricardo H.; Siebert, Kunibert G. 220 2008 Error estimate procedure in the finite element method and applications. Zbl 0582.65078Ladeveze, P.; Leguillon, D. 219 1983 Discontinuous \(hp\)-finite element methods for advection-diffusion-reaction problems. Zbl 1015.65067Houston, Paul; Schwab, Christoph; Süli, Endre 213 2002 Diagonally implicit Runge-Kutta methods for stiff O.D.E.’s. Zbl 0374.65038Alexander, Roger 213 1977 Image selective smoothing and edge detection by nonlinear diffusion. Zbl 0746.65091Catté, Francine; Lions, Pierre-Louis; Morel, Jean-Michel; Coll, Tomeu 213 1992 Some error estimates for the box method. Zbl 0634.65105Bank, Randolph E.; Rose, Donald J. 211 1987 Poincaré–Friedrichs inequalities for piecewise \(H^{1}\) functions. Zbl 1045.65100Brenner, Susanne C. 209 2003 New solution and analytical techniques of the implicit numerical method for the anomalous subdiffusion equation. Zbl 1173.26006Zhuang, P.; Liu, Fawang; Anh, V.; Turner, I. 208 2008 A priori \(L_2\) error estimates for Galerkin approximations to parabolic partial differential equations. Zbl 0232.35060Wheeler, Mary Fanett 206 1972 Galerkin proper orthogonal decomposition methods for a general equation in fluid dynamics. Zbl 1075.65118Kunisch, K.; Volkwein, S. 205 2002 Monotone piecewise cubic interpolation. Zbl 0423.65011Fritsch, F. N.; Carlson, R. E. 205 1980 Adaptive finite element methods for parabolic problems. I: A linear model problem. Zbl 0732.65093Eriksson, Kenneth; Johnson, Claes 204 1991 Stabilization of low-order mixed finite elements for the Stokes equations. Zbl 1145.76015Bochev, Pavel B.; Dohrmann, Clark R.; Gunzburger, Max D. 203 2006 On direct methods for solving Poisson’s equations. Zbl 0217.52902Buzbee, B. L.; Golub, G. H.; Nielson, C. W. 203 1970 Analysis of the inexact Uzawa algorithm for saddle point problems. Zbl 0873.65031Bramble, James H.; Pasciak, Joseph E.; Vassilev, Apostol T. 201 1997 Nested dissection of a regular finite element mesh. Zbl 0259.65087George, Alan 201 1973 On Godunov-type methods for gas dynamics. Zbl 0642.76088Einfeldt, Bernd 199 1988 Collocation at Gaussian points. Zbl 0232.65065de Boor, Carl; Swartz, Blair 195 1973 An energy-stable and convergent finite-difference scheme for the phase field crystal equation. Zbl 1201.35027Wise, S. M.; Wang, Cheng; Lowengrub, J. S. 194 2009 Special finite element methods for a class of second order elliptic problems with rough coefficients. Zbl 0807.65114Babuška, Ivo; Caloz, Gabriel; Osborn, John E. 193 1994 Virtual elements for linear elasticity problems. Zbl 1268.74010Beirao da Veiga, L.; Brezzi, F.; Marini, L. D. 193 2013 Iterative solution of implicit approximations of multidimensional partial differential equations. Zbl 0197.13304Stone, H. L. 189 1968 Data oscillation and convergence of adaptive FEM. Zbl 0970.65113Morin, Pedro; Nochetto, Ricardo H.; Siebert, Kunibert G. 184 2000 Analysis of some Krylov subspace approximations to the matrix exponential operator. Zbl 0749.65030Saad, Y. 183 1992 A mortar finite element method using dual spaces for the Lagrange multiplier. Zbl 0974.65105Wohlmuth, Barbara I. 180 2000 An anisotropic sparse grid stochastic collocation method for partial differential equations with random input data. Zbl 1176.65007Nobile, F.; Tempone, R.; Webster, C. G. 180 2008 A priori error estimates for finite element methods based on discontinuous approximation spaces for elliptic problems. Zbl 1010.65045Rivière, Béatrice; Wheeler, Mary F.; Girault, Vivette 179 2001 On the angle condition in the finite element method. Zbl 0324.65046Babuška, Ivo; Aziz, A. K. 179 1976 The conjugate gradient method and trust regions in large scale optimization. Zbl 0518.65042Steihaug, Trond 179 1983 A family of fourth-order methods for nonlinear equations. Zbl 0266.65040King, Richard F. 178 1973 Stability analysis of numerical schemes for stochastic differential equations. Zbl 0869.60052Saito, Yoshihiro; Mitsui, Taketomo 177 1996 Mean-square and asymptotic stability of the stochastic theta method. Zbl 0982.60051Higham, Desmond J. 177 2000 A Crank-Nicolson ADI spectral method for a two-dimensional Riesz space fractional nonlinear reaction-diffusion equation. Zbl 1382.65349Zeng, Fanhai; Liu, Fawang; Li, Changpin; Burrage, Kevin; Turner, Ian; Anh, V. 175 2014 Explicit Runge-Kutta (-Nyström) methods with reduced phase errors for computing oscillating solutions. Zbl 0624.65058Van der Houwen, P. J.; Sommeijer, B. P. 175 1987 Comparing numerical methods for ordinary differential equations. Zbl 0221.65115Hull, T. E.; Enright, W. H.; Fellen, B. M.; Sedgwick, A. E. 175 1972 A posteriori error estimates for a discontinuous Galerkin approximation of second-order elliptic problems. Zbl 1058.65120Karakashian, Ohannes A.; Pascal, Frederic 175 2003 A local discontinuous Galerkin method for KdV type equations. Zbl 1021.65050Yan, Jue; Shu, Chi-Wang 172 2002 Fundamental solutions method for elliptic boundary value problems. Zbl 0579.65121Bogomolny, Alexander 171 1985 Convergence of the mimetic finite difference method for diffusion problems on polyhedral meshes. Zbl 1108.65102Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail 169 2005 Second-order convex splitting schemes for gradient flows with Ehrlich-Schwoebel type energy: Application to thin film epitaxy. Zbl 1247.65088Shen, Jie; Wang, Cheng; Wang, Xiaoming; Wise, Steven M. 168 2012 On the accuracy of the finite volume element method based on piecewise linear polynomials. Zbl 1036.65084Ewing, Richard E.; Lin, Tao; Lin, Yanping 167 2002 The approximate solution of elliptic boundary-value problems by fundamental solutions. Zbl 0368.65058Mathon, Rudolf; Johnston, R. L. 167 1977 The numerical solution of Fredholm integral equations of the second kind. Zbl 0155.47404Atkinson, K. E. 167 1967 The differentiation of pseudo-inverses and nonlinear least squares problems whose variables separate. Zbl 0258.65045Golub, G. H.; Pereyra, V. 167 1973 An analysis of the total least squares problem. Zbl 0468.65011Golub, Gene H.; Van Loan, Charles F. 166 1980 Application of an ultra weak variational formulation of elliptic PDEs to the two-dimensional Helmholtz problem. Zbl 0955.65081Cessenat, Olivier; Despres, Bruno 162 1998 Explicit exponential Runge-Kutta methods for semilinear parabolic problems. Zbl 1093.65052Hochbruck, Marlis; Ostermann, Alexander 161 2005 Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences. Zbl 0880.65084Arbogast, Todd; Wheeler, Mary F.; Yotov, Ivan 160 1997 Numerical methods for nonconservative hyperbolic systems: A theoretical framework. Zbl 1130.65089Parés, Carlos 159 2006 A generalization of a theorem of Böcher. Zbl 0173.02703Marden, M. 159 1966 Image selective smoothing and edge detection by nonlinear diffusion. II. Zbl 0766.65117Alvarez, Luis; Lions, Pierre-Louis; Morel, Jean-Michel 158 1992 Estimation of linear functionals on Sobolev spaces with application to Fourier transforms and spline interpolation. Zbl 0201.07803Bramble, J. H.; Hilbert, S. R. 156 1970 Two-level method based on finite element and Crank-Nicolson extrapolation for the time-dependent Navier-Stokes equations. Zbl 1130.76365He, Yinnian 155 2003 Finite element solution of the Helmholtz equation with high wave number. II: The \(h-p\) version of the FEM. Zbl 0884.65104Ihlenburg, Frank; Babuška, Ivo 152 1997 Error estimates for a semidiscrete finite element method for fractional order parabolic equations. Zbl 1268.65126Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 151 2013 Generalizing the singular value decomposition. Zbl 0338.65022Van Loan, Charles F. 150 1976 Superconvergence of the local discontinuous Galerkin method for elliptic problems on Cartesian grids. Zbl 1041.65080Cockburn, Bernardo; Kanschat, Guido; Perugia, Ilaria; Schötzau, Dominik 150 2001 The p-version of the finite element method. Zbl 0487.65059Babuška, Ivo; Szabo, B. A.; Katz, I. N. 150 1981 Convergence analysis of inexact two-grid methods: a theoretical framework. Zbl 1481.65049Xu, Xuefeng; Zhang, Chen-Song 1 2022 Convergence analysis of machine learning algorithms for the numerical solution of mean field control and games. I: The ergodic case. Zbl 1479.65013Carmona, René; Laurière, Mathieu 10 2021 Deep neural networks algorithms for stochastic control problems on finite horizon: convergence analysis. Zbl 1466.65007Huré, Côme; Pham, Huyên; Bachouch, Achref; Langrené, Nicolas 8 2021 High-order mass- and energy-conserving SAV-Gauss collocation finite element methods for the nonlinear Schrödinger equation. Zbl 1477.65254Feng, Xiaobing; Li, Buyang; Ma, Shu 7 2021 Spectral convergence of diffusion maps: improved error bounds and an alternative normalization. Zbl 07372625Wormell, Caroline L.; Reich, Sebastian 5 2021 Error estimates of some splitting schemes for charged-particle dynamics under strong magnetic field. Zbl 07383913Wang, Bin; Zhao, Xiaofei 5 2021 Convergence of the random batch method for interacting particles with disparate species and weights. Zbl 1466.65011Jin, Shi; Li, Lei; Liu, Jian-Guo 5 2021 Computational methods for first-order nonlocal mean field games with applications. Zbl 1477.35276Liu, Siting; Jacobs, Matthew; Li, Wuchen; Nurbekyan, Levon; Osher, Stanley J. 5 2021 On the Sobolev and \(L^p\)-stability of the \(L^2\)-projection. Zbl 1477.65207Diening, Lars; Storn, Johannes; Tscherpel, Tabea 4 2021 Staggered DG method for coupling of the Stokes and Darcy-Forchheimer problems. Zbl 1456.65172Zhao, Lina; Chung, Eric T.; Park, Eun-Jae; Zhou, Guanyu 4 2021 An artificial compressibility Crank-Nicolson leap-frog method for the Stokes-Darcy model and application in ensemble simulations. Zbl 1467.65084Jiang, Nan; Li, Ying; Yang, Huanhuan 4 2021 Discovery of dynamics using linear multistep methods. Zbl 1466.65050Keller, Rachael T.; Du, Qiang 4 2021 A structure-preserving parametric finite element method for surface diffusion. Zbl 07423173Bao, Weizhu; Zhao, Quan 4 2021 Asymptotically compatible reproducing kernel collocation and meshfree integration for nonlocal diffusion. Zbl 1456.82636Leng, Yu; Tian, Xiaochuan; Trask, Nathaniel; Foster, John T. 3 2021 Modeling and analysis of the coupling in discrete fracture matrix models. Zbl 1473.65338Gander, Martin J.; Hennicker, Julian; Masson, Roland 3 2021 An efficient and convergent finite element scheme for Cahn-Hilliard equations with dynamic boundary conditions. Zbl 1458.35345Metzger, Stefan 3 2021 A general framework of low regularity integrators. Zbl 07372626Rousset, Frédéric; Schratz, Katharina 3 2021 Enhancing accuracy of deep learning algorithms by training with low-discrepancy sequences. Zbl 07372628Mishra, Siddhartha; Rusch, T. Konstantin 3 2021 Analysis and approximation of mixed-dimensional PDEs on 3D-1D domains coupled with Lagrange multipliers. Zbl 1460.35109Kuchta, Miroslav; Laurino, Federica; Mardal, Kent-Andre; Zunino, Paolo 3 2021 Solving parabolic moving interface problems with dynamical immersed spaces on unfitted meshes: fully discrete analysis. Zbl 1466.65134Guo, Ruchi 3 2021 Hybrid localized spectral decomposition for multiscale problems. Zbl 1468.65221Madureira, Alexandre L.; Sarkis, Marcus 3 2021 Carleman-based reconstruction algorithm for waves. Zbl 1461.93213Baudouin, Lucie; de Buhan, Maya; Ervedoza, Sylvain; Osses, Axel 3 2021 The connections between Lyapunov functions for some optimization algorithms and differential equations. Zbl 1467.65070Sanz Serna, J. M.; Zygalakis, K. C. 3 2021 A pressure-robust discretization of Oseen’s equation using stabilization in the vorticity equation. Zbl 1477.65185Ahmed, Naveed; Barrenechea, Gabriel R.; Burman, Erik; Guzmán, Johnny; Linke, Alexander; Merdon, Christian 3 2021 Stability and error analysis of a class of high-order IMEX schemes for Navier-Stokes equations with periodic boundary conditions. Zbl 07453432Huang, Fukeng; Shen, Jie 3 2021 Approximation of high-dimensional periodic functions with Fourier-based methods. Zbl 1476.65022Potts, Daniel; Schmischke, Michael 2 2021 Finite element approximation of the modified Maxwell’s Stekloff eigenvalues. Zbl 1479.35305Gong, Bo; Sun, Jiguang; Wu, Xinming 2 2021 The energy technique for the six-step BDF method. Zbl 1483.65153Akrivis, Georgios; Chen, Minghua; Yu, Fan; Zhou, Zhi 2 2021 Hypocoercivity-compatible finite element methods for the long-time computation of Kolmogorov’s equation. Zbl 1456.65112Georgoulis, Emmanuil H. 2 2021 Piecewise divergence-free nonconforming virtual elements for Stokes problem in any dimensions. Zbl 1468.76054Wei, Huayi; Huang, Xuehai; Li, Ao 2 2021 Strong convergence of a Verlet integrator for the semilinear stochastic wave equation. Zbl 1471.60094Banjai, Lehel; Lord, Gabriel; Molla, Jeta 2 2021 Analysis of radial complex scaling methods: scalar resonance problems. Zbl 1477.65215Halla, Martin 2 2021 A priori error analysis of a numerical stochastic homogenization method. Zbl 07326332Fischer, Julian; Gallistl, Dietmar; Peterseim, Daniel 2 2021 Space-time finite element discretization of parabolic optimal control problems with energy regularization. Zbl 1467.65094Langer, Ulrich; Steinbach, Olaf; Tröltzsch, Fredi; Yang, Huidong 2 2021 Adaptive Morley FEM for the von Kármán equations with optimal convergence rates. Zbl 1467.65107Carstensen, Carsten; Nataraj, Neela 2 2021 A high-order approach to elliptic multiscale problems with general unstructured coefficients. Zbl 1468.65201Maier, Roland 2 2021 Error estimates for the optimal control of a parabolic fractional PDE. Zbl 1464.49001Glusa, Christian; Otárola, Enrique 2 2021 An oscillation-free discontinuous Galerkin method for scalar hyperbolic conservation laws. Zbl 1467.65095Lu, Jianfang; Liu, Yong; Shu, Chi-Wang 2 2021 Asymptotically-preserving large deviations principles by stochastic symplectic methods for a linear stochastic oscillator. Zbl 1466.60055Chen, Chuchu; Hong, Jialing; Jin, Diancong; Sun, Liying 1 2021 A posteriori error analysis of the inf-sup constant for the divergence. Zbl 1456.65145Gallistl, Dietmar 1 2021 Convergence of a second-order energy-decaying method for the viscous rotating shallow water equation. Zbl 1456.65057Akrivis, Georgios; Li, Buyang; Wang, Jilu 1 2021 Time integration of tree tensor networks. Zbl 1461.65203Ceruti, Gianluca; Lubich, Christian; Walach, Hanna 1 2021 Error analysis for probabilities of rare events with approximate models. Zbl 07372634Wagner, Fabian; Latz, Jonas; Papaioannou, Iason; Ullmann, Elisabeth 1 2021 Stability and convergence analysis of time-domain perfectly matched layers for the wave equation in waveguides. Zbl 07372636Bécache, Eliane; Kachanovska, Maryna 1 2021 Positivity of discrete time-fractional operators with applications to phase-field equations. Zbl 07383911Karaa, Samir 1 2021 Numerical analysis of resonances by a slab of subwavelength slits by Fourier-matching method. Zbl 07383914Zhou, Jiaxin; Lu, Wangtao 1 2021 A symplectic discontinuous Galerkin full discretization for stochastic Maxwell equations. Zbl 1470.60178Chen, Chuchu 1 2021 Space-time approximation of stochastic \(p\)-Laplace-type systems. Zbl 07383918Breit, Dominic; Hofmanová, Martina; Loisel, Sébastien 1 2021 A polynomial-degree-robust a posteriori error estimator for nédélec discretizations of magnetostatic problems. Zbl 07383919Gedicke, Joscha; Geevers, Sjoerd; Perugia, Ilaria; Schöberl, Joachim 1 2021 Dynamical low-rank integrator for the linear Boltzmann equation: error analysis in the diffusion limit. Zbl 07383920Ding, Zhiyan; Einkemmer, Lukas; Li, Qin 1 2021 A new stability and convergence proof of the Fourier-Galerkin spectral method for the spatially homogeneous Boltzmann equation. Zbl 1462.35235Hu, Jingwei; Qi, Kunlun; Yang, Tong 1 2021 Distributed filtered hyperinterpolation for noisy data on the sphere. Zbl 07326331Lin, Shao-bo; Wang, Yu Guang; Zhou, Ding-Xuan 1 2021 A narrow-stencil finite difference method for approximating viscosity solutions of Hamilton-Jacobi-Bellman equations. Zbl 1468.65174Feng, Xiaobing; Lewis, Thomas 1 2021 Stability-enhanced AP IMEX1-LDG method: energy-based stability and rigorous AP property. Zbl 1468.65147Peng, Zhichao; Cheng, Yingda; Qiu, Jing-Mei; Li, Fengyan 1 2021 Adaptive mixed finite element methods for non-self-adjoint indefinite second-order elliptic PDEs with optimal rates. Zbl 1468.65185Carstensen, Carsten; Ma, Rui 1 2021 Uniform error bounds of time-splitting methods for the nonlinear Dirac equation in the nonrelativistic regime without magnetic potential. Zbl 1462.35318Bao, Weizhu; Cai, Yongyong; Yin, Jia 1 2021 A mixed approach to the Poisson problem with line sources. Zbl 1466.35093Gjerde, Ingeborg G.; Kumar, Kundan; Nordbotten, Jan M. 1 2021 Low-rank updates of matrix functions. II: Rational Krylov methods. Zbl 1469.65086Beckermann, Bernhard; Cortinovis, Alice; Kressner, Daniel; Schweitzer, Marcel 1 2021 Error analysis of energy-preserving mixed finite element methods for the Hodge wave equation. Zbl 1476.65257Wu, Yongke; Bai, Yanhong 1 2021 On discrete shape gradients of boundary type for PDE-constrained shape optimization. Zbl 1466.49035Gong, Wei; Zhu, Shengfeng 1 2021 Convergence of Dziuk’s semidiscrete finite element method for mean curvature flow of closed surfaces with high-order finite elements. Zbl 1479.65008Li, Buyang 1 2021 Optimal regularity and error estimates of a spectral Galerkin method for fractional advection-diffusion-reaction equations. Zbl 1475.65121Hao, Zhaopeng; Zhang, Zhongqiang 19 2020 An optimal-order numerical approximation to variable-order space-fractional diffusion equations on uniform or graded meshes. Zbl 1429.65168Zheng, Xiangcheng; Wang, Hong 17 2020 An error estimate of a numerical approximation to a hidden-memory variable-order space-time fractional diffusion equation. Zbl 1450.65135Zheng, Xiangcheng; Wang, Hong 16 2020 Error analysis of the SAV-MAC scheme for the Navier-Stokes equations. Zbl 1452.65167Li, Xiaoli; Shen, Jie 15 2020 On energy stable, maximum-principle preserving, second-order BDF scheme with variable steps for the Allen-Cahn equation. Zbl 1447.65083Liao, Hong-lin; Tang, Tao; Zhou, Tao 14 2020 A proof that Anderson acceleration improves the convergence rate in linearly converging fixed-point methods (but not in those converging quadratically). Zbl 1433.65102Evans, Claire; Pollock, Sara; Rebholz, Leo G.; Xiao, Mengying 14 2020 Error analysis for a fractional-derivative parabolic problem on quasi-graded meshes using barrier functions. Zbl 1471.65147Kopteva, Natalia; Meng, Xiangyun 14 2020 Fast Fourier-like mapped Chebyshev spectral-Galerkin methods for PDEs with integral fractional Laplacian in unbounded domains. Zbl 1450.65154Sheng, Changtao; Shen, Jie; Tang, Tao; Wang, Li-Lian; Yuan, Huifang 12 2020 Uniform in time error estimates for a finite element method applied to a downscaling data assimilation algorithm for the Navier-Stokes equations. Zbl 1448.65157García-Archilla, Bosco; Novo, Julia; Titi, Edriss S. 11 2020 An \(L1\) approximation for a fractional reaction-diffusion equation, a second-order error analysis over time-graded meshes. Zbl 1434.65129Mustapha, Kassem 11 2020 Multidimensional sum-up rounding for elliptic control systems. Zbl 1455.49017Manns, Paul; Kirches, Christian 8 2020 An artificial compression reduced order model. Zbl 1434.76064DeCaria, Victor; Iliescu, Traian; Layton, William; McLaughlin, Michael; Schneier, Michael 8 2020 Domain decomposition with local impedance conditions for the Helmholtz equation with absorption. Zbl 1465.65162Graham, Ivan G.; Spence, Euan A.; Zou, Jun 7 2020 Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem: global convergence and computational efficiency. Zbl 07210680Henning, Patrick; Peterseim, Daniel 7 2020 Lagrangian discretization of crowd motion and linear diffusion. Zbl 1456.65137Leclerc, Hugo; Mérigot, Quentin; Santambrogio, Filippo; Stra, Federico 7 2020 A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry. Zbl 1439.35368Gopalakrishnan, Jay; Lederer, Philip L.; Schöberl, Joachim 7 2020 A Tchebycheffian extension of multidegree B-splines: algorithmic computation and properties. Zbl 1437.41004Hiemstra, René R.; Hughes, Thomas J. R.; Manni, Carla; Speleers, Hendrik; Toshniwal, Deepesh 7 2020 Unconditionally bound preserving and energy dissipative schemes for a class of Keller-Segel equations. Zbl 1440.65101Shen, Jie; Xu, Jie 6 2020 A multilevel algebraic error estimator and the corresponding iterative solver with \(p\)-robust behavior. Zbl 1451.65222Miraçi, Ani; Papež, Jan; Vohralík, Martin 6 2020 Long-time accurate symmetrized implicit-explicit BDF methods for a class of parabolic equations with non-self-adjoint operators. Zbl 07154062Li, Buyang; Wang, Kai; Zhou, Zhi 6 2020 Tikhonov regularization within ensemble Kalman inversion. Zbl 1447.35337Chada, Neil K.; Stuart, Andrew M.; Tong, Xin T. 6 2020 A divergence-conforming finite element method for the surface Stokes equation. Zbl 1451.65184Bonito, Andrea; Demlow, Alan; Licht, Martin 5 2020 Optimal convergence rates for Tikhonov regularization in Besov spaces. Zbl 1478.65058Weidling, Frederic; Sprung, Benjamin; Hohage, Thorsten 5 2020 A weighted setting for the numerical approximation of the Poisson problem with singular sources. Zbl 1447.65135Drelichman, Irene; Durán, Ricardo G.; Ojea, Ignacio 5 2020 A multipoint stress mixed finite element method for elasticity on simplicial grids. Zbl 1451.65181Ambartsumyan, Ilona; Khattatov, Eldar; Nordbotten, Jan M.; Yotov, Ivan 5 2020 FEAST for differential eigenvalue problems. Zbl 1439.65088Horning, Andrew; Townsend, Alex 5 2020 A truly two-dimensional, asymptotic-preserving scheme for a discrete model of radiative transfer. Zbl 1434.80015Gosse, Laurent; Vauchelet, Nicolas 5 2020 Convergence analysis of Grad’s Hermite expansion for linear kinetic equations. Zbl 1436.65150Sarna, Neeraj; Giesselmann, Jan; Torrilhon, Manuel 5 2020 \(H^2\)-stable polynomial liftings on triangles. Zbl 1460.46020Ainsworth, Mark; Parker, Charles 4 2020 Optimality and regularization properties of quasi-interpolation: deterministic and stochastic approaches. Zbl 07227715Gao, Wenwu; Fasshauer, Gregory E.; Sun, Xingping; Zhou, Xuan 4 2020 Error analysis of supremizer pressure recovery for POD based reduced-order models of the time-dependent Navier-Stokes equations. Zbl 1447.65080Kean, Kiera; Schneier, Michael 4 2020 A minimal stabilization procedure for isogeometric methods on trimmed geometries. Zbl 1453.65403Buffa, A.; Puppi, R.; Vázquez, R. 4 2020 High-order time stepping schemes for semilinear subdiffusion equations. Zbl 1452.65252Wang, Kai; Zhou, Zhi 4 2020 Discretization of linear problems in Banach spaces: residual minimization, nonlinear Petrov-Galerkin, and monotone mixed methods. Zbl 1457.65024Muga, Ignacio; van der Zee, Kristoffer G. 4 2020 A convergent linearized Lagrange finite element method for the magneto-hydrodynamic equations in two-dimensional nonsmooth and nonconvex domains. Zbl 1432.76162Li, Buyang; Wang, Jilu; Xu, Liwei 4 2020 High-order mass-lumped schemes for nonlinear degenerate elliptic equations. Zbl 1447.65116Droniou, Jerome; Eymard, Robert 4 2020 Sharp uniform convergence rate of the supercell approximation of a crystalline defect. Zbl 1479.65018Braun, Julian; Ortner, Christoph 4 2020 Numerical analysis of unsteady implicitly constituted incompressible fluids: 3-field formulation. Zbl 1434.76065Farrell, Patrick E.; Gazca-Orozco, P. A.; Süli, Endre 4 2020 Extrinsic meshless collocation methods for PDEs on manifolds. Zbl 1435.65216Chen, Meng; Ling, Leevan 4 2020 ...and 1747 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 46,490 Authors 196 Shu, Chi-Wang 194 Dehghan Takht Fooladi, Mehdi 174 He, Yinnian 150 Argyros, Ioannis Konstantinos 130 Carstensen, Carsten 129 Chen, Yanping 125 Schwab, Christoph 123 Huang, Yunqing 122 Shi, Dongyang 112 Zhang, Zhimin 111 Wang, Hong 101 Cockburn, Bernardo 100 Gatica, Gabriel N. 98 Gunzburger, Max D. 98 Liu, Fawang 94 Wheeler, Mary Fanett 92 Burman, Erik 91 Rui, Hongxing 91 Shen, Jie 90 Babuška, Ivo 90 Evans, David John 90 Simos, Theodore E. 89 Du, Qiang 89 Jackiewicz, Zdzislaw 89 Quarteroni, Alfio M. 85 Chung, Tsz Shun Eric 84 Feng, Xinlong 84 Wei, Yimin 83 Huang, Ting-Zhu 83 Nochetto, Ricardo Horacio 83 Zhang, Shangyou 81 Axelsson, Axel Owe Holger 81 Beirão da Veiga, Lourenço 80 Karniadakis, George Em 80 Xu, Jinchao 79 Brenner, Susanne Cecelia 79 Dumbser, Michael 79 Ern, Alexandre 78 Demkowicz, Leszek F. 78 Hughes, Thomas J. R. 78 Li, Jichun 77 Wohlmuth, Barbara I. 75 Guo, Ben-Yu 75 Hou, Yanren 75 Huang, Chengming 75 Wang, Cheng 74 Bai, Zhongzhi 74 Gander, Martin Jakob 74 Ye, Xiu 72 Praetorius, Dirk 71 Codina, Ramon 71 Yang, Xiaofeng 70 Rebholz, Leo G. 70 Sloan, Ian Hugh 69 Chen, Zhangxin 69 Martínez, José Mario 69 Xu, Da 68 Burrage, Kevin 68 Lubich, Christian 68 Luo, Zhendong 68 Wu, Xinyuan 67 Turner, Ian William 66 Nicaise, Serge 65 Nordström, Jan 65 Stephan, Ernst Peter 65 Sun, Shuyu 64 Han, Weimin 64 Li, Hong 64 Petković, Miodrag S. 64 Sun, Zhizhong 63 Guermond, Jean-Luc 63 Larson, Mats G. 62 Jin, Shi 62 Serra-Capizzano, Stefano 61 Reichel, Lothar 60 Jiang, Yaolin 60 Li, Zhilin 60 Osher, Stanley Joel 59 Li, Buyang 59 Pani, Amiya Kumar 59 Zhu, Detong 58 Amat, Sergio P. 58 Dick, Josef 57 Di Pietro, Daniele Antonio 57 Hansbo, Peter 57 Li, Jian 57 Stynes, Martin 57 Vohralík, Martin 57 Weiner, Rüdiger 56 Layton, William J. 56 Li, Zi-Cai 56 Maday, Yvon 56 Ostermann, Alexander 55 Heuer, Norbert 55 Ju, Lili 55 Mei, Liquan 55 Yuan, Yirang 55 Zhang, Chengjian 54 Harbrecht, Helmut 54 Lin, Yanping ...and 46,390 more Authors all top 5 Cited in 1,036 Journals 4,454 Journal of Computational Physics 3,821 Journal of Computational and Applied Mathematics 2,757 Computer Methods in Applied Mechanics and Engineering 2,566 Applied Mathematics and Computation 2,183 Applied Numerical Mathematics 2,133 Computers & Mathematics with Applications 1,975 Journal of Scientific Computing 1,845 Numerische Mathematik 1,625 Mathematics of Computation 1,079 SIAM Journal on Scientific Computing 1,054 Numerical Algorithms 1,013 Linear Algebra and its Applications 981 International Journal of Computer Mathematics 820 Computers and Fluids 818 BIT 804 SIAM Journal on Numerical Analysis 746 Journal of Mathematical Analysis and Applications 621 Numerical Methods for Partial Differential Equations 572 Computing 559 International Journal for Numerical Methods in Engineering 531 Journal of Optimization Theory and Applications 515 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 509 Advances in Computational Mathematics 485 Journal of Approximation Theory 462 Numerical Functional Analysis and Optimization 460 Applied Mathematics Letters 407 Mathematics and Computers in Simulation 391 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 390 Engineering Analysis with Boundary Elements 387 Calcolo 374 Computational Optimization and Applications 372 Applied Mathematical Modelling 339 Computational Mechanics 308 International Journal for Numerical Methods in Fluids 306 Computational and Applied Mathematics 280 Mathematical Programming. Series A. Series B 276 Numerical Linear Algebra with Applications 273 Communications in Computational Physics 267 Applicable Analysis 243 Mathematical Problems in Engineering 240 Journal of Fluid Mechanics 236 Computational Geosciences 232 Mathematical Methods in the Applied Sciences 222 Journal of Differential Equations 219 Optimization Methods & Software 217 Journal of Complexity 212 Advances in Applied Mathematics and Mechanics 205 Mathematical and Computer Modelling 203 SIAM Journal on Matrix Analysis and Applications 203 Computational Methods in Applied Mathematics 197 Inverse Problems 197 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 196 Computer Aided Geometric Design 196 Optimization 195 Journal of Applied Mathematics and Computing 191 Abstract and Applied Analysis 188 Communications in Nonlinear Science and Numerical Simulation 185 Physica D 182 Multiscale Modeling & Simulation 180 Japan Journal of Industrial and Applied Mathematics 163 Journal of Global Optimization 162 Journal of Integral Equations and Applications 159 RAIRO. Modélisation Mathématique et Analyse Numérique 159 Applied and Computational Harmonic Analysis 156 Discrete and Continuous Dynamical Systems. Series B 154 Comptes Rendus. Mathématique. Académie des Sciences, Paris 154 Advances in Difference Equations 153 SIAM Journal on Optimization 151 Automatica 151 Foundations of Computational Mathematics 148 Applications of Mathematics 147 SIAM/ASA Journal on Uncertainty Quantification 142 Applied Mathematics and Mechanics. (English Edition) 139 Computer Physics Communications 139 Science China. Mathematics 136 Journal of Mathematical Imaging and Vision 135 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 128 East Asian Journal on Applied Mathematics 127 Applied Mathematics and Optimization 125 Acta Mathematicae Applicatae Sinica. English Series 123 Communications in Numerical Methods in Engineering 122 International Journal of Numerical Analysis and Modeling 121 Journal of Inequalities and Applications 118 Mathematical Programming 118 Journal of Numerical Mathematics 117 Journal of Applied Mathematics 117 Inverse Problems in Science and Engineering 117 BIT. Nordisk Tidskrift for Informationsbehandling 113 Archive for Rational Mechanics and Analysis 107 SIAM Journal on Control and Optimization 105 European Journal of Operational Research 103 SIAM Journal on Imaging Sciences 102 Journal of Inverse and Ill-Posed Problems 102 International Journal of Computational Fluid Dynamics 100 SIAM Journal on Mathematical Analysis 100 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 99 Nonlinear Analysis. Theory, Methods & Applications 98 Wave Motion 96 Constructive Approximation 93 ZAMP. Zeitschrift für angewandte Mathematik und Physik ...and 936 more Journals all top 5 Cited in 62 Fields 44,277 Numerical analysis (65-XX) 18,202 Partial differential equations (35-XX) 11,993 Fluid mechanics (76-XX) 4,781 Mechanics of deformable solids (74-XX) 4,540 Operations research, mathematical programming (90-XX) 4,395 Ordinary differential equations (34-XX) 3,479 Calculus of variations and optimal control; optimization (49-XX) 3,025 Approximations and expansions (41-XX) 2,462 Probability theory and stochastic processes (60-XX) 2,266 Linear and multilinear algebra; matrix theory (15-XX) 2,134 Integral equations (45-XX) 1,994 Operator theory (47-XX) 1,768 Optics, electromagnetic theory (78-XX) 1,671 Computer science (68-XX) 1,603 Biology and other natural sciences (92-XX) 1,475 Statistical mechanics, structure of matter (82-XX) 1,447 Statistics (62-XX) 1,405 Systems theory; control (93-XX) 1,329 Dynamical systems and ergodic theory (37-XX) 1,047 Information and communication theory, circuits (94-XX) 1,002 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 924 Real functions (26-XX) 889 Classical thermodynamics, heat transfer (80-XX) 804 Geophysics (86-XX) 780 Harmonic analysis on Euclidean spaces (42-XX) 554 Functions of a complex variable (30-XX) 538 Functional analysis (46-XX) 501 Mechanics of particles and systems (70-XX) 483 Special functions (33-XX) 483 Quantum theory (81-XX) 335 Global analysis, analysis on manifolds (58-XX) 294 Combinatorics (05-XX) 267 Difference and functional equations (39-XX) 226 Potential theory (31-XX) 214 Number theory (11-XX) 212 Integral transforms, operational calculus (44-XX) 211 Differential geometry (53-XX) 157 Field theory and polynomials (12-XX) 140 Measure and integration (28-XX) 135 Convex and discrete geometry (52-XX) 128 Algebraic geometry (14-XX) 124 Astronomy and astrophysics (85-XX) 122 General topology (54-XX) 80 Sequences, series, summability (40-XX) 79 History and biography (01-XX) 78 Commutative algebra (13-XX) 77 General and overarching topics; collections (00-XX) 68 Relativity and gravitational theory (83-XX) 39 Topological groups, Lie groups (22-XX) 39 Geometry (51-XX) 34 Mathematical logic and foundations (03-XX) 34 Nonassociative rings and algebras (17-XX) 34 Algebraic topology (55-XX) 30 Manifolds and cell complexes (57-XX) 27 Several complex variables and analytic spaces (32-XX) 23 Abstract harmonic analysis (43-XX) 23 Mathematics education (97-XX) 17 Associative rings and algebras (16-XX) 15 Group theory and generalizations (20-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 6 General algebraic systems (08-XX) 3 Category theory; homological algebra (18-XX) Citations by Year