×

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

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 1008.65080
Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, L. Donatella
2002
The local discontinuous Galerkin method for time-dependent convection-diffusion systems. Zbl 0927.65118
Cockburn, Bernardo; Shu, Chi-Wang
886
1998
On the construction and comparison of difference schemes. Zbl 0184.38503
Strang, Gilbert
797
1968
Splitting algorithms for the sum of two nonlinear operators. Zbl 0426.65050
Lions, Pierre-Louis; Mercier, B.
638
1979
An interior penalty finite element method with discontinuous elements. Zbl 0482.65060
Arnold, Douglas N.
618
1982
The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. Zbl 0811.65083
LeVeque, Randall J.; Li, Zhilin
572
1994
High resolution schemes using flux limiters for hyperbolic conservation laws. Zbl 0565.65048
Sweby, P. K.
569
1984
Inexact Newton methods. Zbl 0478.65030
Dembo, Ron S.; Eisenstat, Stanley C.; Steihaug, Trond
496
1982
A convergent adaptive algorithm for Poisson’s equation. Zbl 0854.65090
Dörfler, Willy
484
1996
A nonmonotone line search technique for Newton’s method. Zbl 0616.65067
Grippo, L.; Lampariello, F.; Lucidi, S.
477
1986
Unified hybridization of discontinuous Galerkin, mixed, and continuous Galerkin methods for second order elliptic problems. Zbl 1205.65312
Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Lazarov, Raytcho
459
2009
Error estimates for adaptive finite element computations. Zbl 0398.65069
Babuška, Ivo; Rheinboldt, W. C.
450
1978
Solution of sparse indefinite systems of linear equations. Zbl 0319.65025
Paige, 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 0492.65051
Douglas, 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 0487.76035
Heywood, John G.; Rannacher, Rolf
388
1982
Implicit-explicit methods for time-dependent partial differential equations. Zbl 0841.65081
Ascher, 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 1151.65008
Babuška, Ivo; Nobile, Fabio; Tempone, Raúl
355
2007
A space-time spectral method for the time fractional diffusion equation. Zbl 1193.35243
Li, Xianjuan; Xu, Chuanju
346
2009
Finite-element approximation of the nonstationary Navier-Stokes problem. IV: Error analysis for second-order time discretization. Zbl 0694.76014
Heywood, John G.; Rannacher, Rolf
340
1990
Two-grid discretization techniques for linear and nonlinear PDEs. Zbl 0860.65119
Xu, Jinchao
329
1996
An elliptic collocation-finite element method with interior penalties. Zbl 0384.65058
Wheeler, Mary Fanett
329
1978
Galerkin finite element approximations of stochastic elliptic partial differential equations. Zbl 1080.65003
Babuska, Ivo; Tempone, Raúl; Zouraris, Georgios E.
328
2004
A sparse grid stochastic collocation method for partial differential equations with random input data. Zbl 1176.65137
Nobile, F.; Tempone, R.; Webster, C. G.
306
2008
Strong convergence of Euler-type methods for nonlinear stochastic differential equations. Zbl 1026.65003
Higham, Desmond J.; Mao, Xuerong; Stuart, Andrew M.
282
2002
Stability theory for systems of inequalities. II: Differentiable nonlinear systems. Zbl 0347.90050
Robinson, Stephen M.
282
1976
An explicit finite difference method and a new von Neumann-type stability analysis for fractional diffusion equations. Zbl 1119.65379
Yuste, S. B.; Acedo, L.
281
2005
Uniformly high-order accurate nonoscillatory schemes. I. Zbl 0627.65102
Harten, Ami; Osher, Stanley
281
1987
The rotation of eigenvectors by a perturbation. III. Zbl 0198.47201
Davis, Chandler; Kahan, W. M.
280
1970
High-resolution conservative algorithms for advection in incompressible flow. Zbl 0852.76057
LeVeque, Randall J.
257
1996
Error analysis of a finite difference method on graded meshes for a time-fractional diffusion equation. Zbl 1362.65089
Stynes, Martin; O’Riordan, Eugene; Gracia, José Luis
257
2017
Variational iterative methods for nonsymmetric systems of linear equations. Zbl 0524.65019
Eisenstat, 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 1204.26013
Zhuang, P.; Liu, Fawang; Anh, V.; Turner, I.
251
2009
A well-balanced scheme for the numerical processing of source terms in hyperbolic equations. Zbl 0876.65064
Greenberg, James M.; Le Roux, Alain-Yves
247
1996
High-order essentially nonoscillatory schemes for Hamilton-Jacobi equations. Zbl 0736.65066
Osher, Stanley; Shu, Chi-Wang
246
1991
On the \(O(1/n)\) convergence rate of the Douglas-Rachford alternating direction method. Zbl 1245.90084
He, Bingsheng; Yuan, Xiaoming
245
2012
Coupling fluid flow with porous media flow. Zbl 1037.76014
Layton, William J.; Schieweck, Friedhelm; Yotov, Ivan
243
2003
On Krylov subspace approximations to the matrix exponential operator. Zbl 0888.65032
Hochbruck, Marlis; Lubich, Christian
242
1997
Finite element method for the space and time fractional Fokker-Planck equation. Zbl 1416.65344
Deng, Weihua
237
2009
Inexact and preconditioned Uzawa algorithms for saddle point problems. Zbl 0815.65041
Elman, Howard C.; Golub, Gene H.
228
1994
A new class of optimal high-order strong-stability-preserving time discretization methods. Zbl 1020.65064
Spiteri, Raymond J.; Ruuth, Steven J.
224
2002
An a priori error analysis of the local discontinuous Galerkin method for elliptic problems. Zbl 0987.65111
Castillo, Paul; Cockburn, Bernardo; Perugia, Ilaria; Schötzau, Dominik
223
2000
An algorithm for generalized matrix eigenvalue problems. Zbl 0253.65019
Moler, C. B.; Stewart, G. W.
222
1973
Quasi-optimal convergence rate for an adaptive finite element method. Zbl 1176.65122
Cascon, J. Manuel; Kreuzer, Christian; Nochetto, Ricardo H.; Siebert, Kunibert G.
220
2008
Error estimate procedure in the finite element method and applications. Zbl 0582.65078
Ladeveze, P.; Leguillon, D.
219
1983
Discontinuous \(hp\)-finite element methods for advection-diffusion-reaction problems. Zbl 1015.65067
Houston, Paul; Schwab, Christoph; Süli, Endre
213
2002
Diagonally implicit Runge-Kutta methods for stiff O.D.E.’s. Zbl 0374.65038
Alexander, Roger
213
1977
Image selective smoothing and edge detection by nonlinear diffusion. Zbl 0746.65091
Catté, Francine; Lions, Pierre-Louis; Morel, Jean-Michel; Coll, Tomeu
213
1992
Some error estimates for the box method. Zbl 0634.65105
Bank, Randolph E.; Rose, Donald J.
211
1987
Poincaré–Friedrichs inequalities for piecewise \(H^{1}\) functions. Zbl 1045.65100
Brenner, Susanne C.
209
2003
New solution and analytical techniques of the implicit numerical method for the anomalous subdiffusion equation. Zbl 1173.26006
Zhuang, P.; Liu, Fawang; Anh, V.; Turner, I.
208
2008
A priori \(L_2\) error estimates for Galerkin approximations to parabolic partial differential equations. Zbl 0232.35060
Wheeler, Mary Fanett
206
1972
Galerkin proper orthogonal decomposition methods for a general equation in fluid dynamics. Zbl 1075.65118
Kunisch, K.; Volkwein, S.
205
2002
Monotone piecewise cubic interpolation. Zbl 0423.65011
Fritsch, F. N.; Carlson, R. E.
205
1980
Adaptive finite element methods for parabolic problems. I: A linear model problem. Zbl 0732.65093
Eriksson, Kenneth; Johnson, Claes
204
1991
Stabilization of low-order mixed finite elements for the Stokes equations. Zbl 1145.76015
Bochev, Pavel B.; Dohrmann, Clark R.; Gunzburger, Max D.
203
2006
On direct methods for solving Poisson’s equations. Zbl 0217.52902
Buzbee, B. L.; Golub, G. H.; Nielson, C. W.
203
1970
Analysis of the inexact Uzawa algorithm for saddle point problems. Zbl 0873.65031
Bramble, James H.; Pasciak, Joseph E.; Vassilev, Apostol T.
201
1997
Nested dissection of a regular finite element mesh. Zbl 0259.65087
George, Alan
201
1973
On Godunov-type methods for gas dynamics. Zbl 0642.76088
Einfeldt, Bernd
199
1988
Collocation at Gaussian points. Zbl 0232.65065
de Boor, Carl; Swartz, Blair
195
1973
An energy-stable and convergent finite-difference scheme for the phase field crystal equation. Zbl 1201.35027
Wise, 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 0807.65114
Babuška, Ivo; Caloz, Gabriel; Osborn, John E.
193
1994
Virtual elements for linear elasticity problems. Zbl 1268.74010
Beirao da Veiga, L.; Brezzi, F.; Marini, L. D.
193
2013
Iterative solution of implicit approximations of multidimensional partial differential equations. Zbl 0197.13304
Stone, H. L.
189
1968
Data oscillation and convergence of adaptive FEM. Zbl 0970.65113
Morin, Pedro; Nochetto, Ricardo H.; Siebert, Kunibert G.
184
2000
Analysis of some Krylov subspace approximations to the matrix exponential operator. Zbl 0749.65030
Saad, Y.
183
1992
A mortar finite element method using dual spaces for the Lagrange multiplier. Zbl 0974.65105
Wohlmuth, Barbara I.
180
2000
An anisotropic sparse grid stochastic collocation method for partial differential equations with random input data. Zbl 1176.65007
Nobile, 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 1010.65045
Rivière, Béatrice; Wheeler, Mary F.; Girault, Vivette
179
2001
On the angle condition in the finite element method. Zbl 0324.65046
Babuška, Ivo; Aziz, A. K.
179
1976
The conjugate gradient method and trust regions in large scale optimization. Zbl 0518.65042
Steihaug, Trond
179
1983
A family of fourth-order methods for nonlinear equations. Zbl 0266.65040
King, Richard F.
178
1973
Stability analysis of numerical schemes for stochastic differential equations. Zbl 0869.60052
Saito, Yoshihiro; Mitsui, Taketomo
177
1996
Mean-square and asymptotic stability of the stochastic theta method. Zbl 0982.60051
Higham, Desmond J.
177
2000
A Crank-Nicolson ADI spectral method for a two-dimensional Riesz space fractional nonlinear reaction-diffusion equation. Zbl 1382.65349
Zeng, 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 0624.65058
Van der Houwen, P. J.; Sommeijer, B. P.
175
1987
Comparing numerical methods for ordinary differential equations. Zbl 0221.65115
Hull, 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 1058.65120
Karakashian, Ohannes A.; Pascal, Frederic
175
2003
A local discontinuous Galerkin method for KdV type equations. Zbl 1021.65050
Yan, Jue; Shu, Chi-Wang
172
2002
Fundamental solutions method for elliptic boundary value problems. Zbl 0579.65121
Bogomolny, Alexander
171
1985
Convergence of the mimetic finite difference method for diffusion problems on polyhedral meshes. Zbl 1108.65102
Brezzi, 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 1247.65088
Shen, 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 1036.65084
Ewing, Richard E.; Lin, Tao; Lin, Yanping
167
2002
The approximate solution of elliptic boundary-value problems by fundamental solutions. Zbl 0368.65058
Mathon, Rudolf; Johnston, R. L.
167
1977
The numerical solution of Fredholm integral equations of the second kind. Zbl 0155.47404
Atkinson, K. E.
167
1967
The differentiation of pseudo-inverses and nonlinear least squares problems whose variables separate. Zbl 0258.65045
Golub, G. H.; Pereyra, V.
167
1973
An analysis of the total least squares problem. Zbl 0468.65011
Golub, 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 0955.65081
Cessenat, Olivier; Despres, Bruno
162
1998
Explicit exponential Runge-Kutta methods for semilinear parabolic problems. Zbl 1093.65052
Hochbruck, Marlis; Ostermann, Alexander
161
2005
Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences. Zbl 0880.65084
Arbogast, Todd; Wheeler, Mary F.; Yotov, Ivan
160
1997
Numerical methods for nonconservative hyperbolic systems: A theoretical framework. Zbl 1130.65089
Parés, Carlos
159
2006
A generalization of a theorem of Böcher. Zbl 0173.02703
Marden, M.
159
1966
Image selective smoothing and edge detection by nonlinear diffusion. II. Zbl 0766.65117
Alvarez, 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 0201.07803
Bramble, 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 1130.76365
He, Yinnian
155
2003
Finite element solution of the Helmholtz equation with high wave number. II: The \(h-p\) version of the FEM. Zbl 0884.65104
Ihlenburg, Frank; Babuška, Ivo
152
1997
Error estimates for a semidiscrete finite element method for fractional order parabolic equations. Zbl 1268.65126
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi
151
2013
Generalizing the singular value decomposition. Zbl 0338.65022
Van Loan, Charles F.
150
1976
Superconvergence of the local discontinuous Galerkin method for elliptic problems on Cartesian grids. Zbl 1041.65080
Cockburn, Bernardo; Kanschat, Guido; Perugia, Ilaria; Schötzau, Dominik
150
2001
The p-version of the finite element method. Zbl 0487.65059
Babuška, Ivo; Szabo, B. A.; Katz, I. N.
150
1981
Convergence analysis of inexact two-grid methods: a theoretical framework. Zbl 1481.65049
Xu, 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 1479.65013
Carmona, René; Laurière, Mathieu
10
2021
Deep neural networks algorithms for stochastic control problems on finite horizon: convergence analysis. Zbl 1466.65007
Huré, 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 1477.65254
Feng, Xiaobing; Li, Buyang; Ma, Shu
7
2021
Spectral convergence of diffusion maps: improved error bounds and an alternative normalization. Zbl 07372625
Wormell, Caroline L.; Reich, Sebastian
5
2021
Error estimates of some splitting schemes for charged-particle dynamics under strong magnetic field. Zbl 07383913
Wang, Bin; Zhao, Xiaofei
5
2021
Convergence of the random batch method for interacting particles with disparate species and weights. Zbl 1466.65011
Jin, Shi; Li, Lei; Liu, Jian-Guo
5
2021
Computational methods for first-order nonlocal mean field games with applications. Zbl 1477.35276
Liu, 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 1477.65207
Diening, Lars; Storn, Johannes; Tscherpel, Tabea
4
2021
Staggered DG method for coupling of the Stokes and Darcy-Forchheimer problems. Zbl 1456.65172
Zhao, 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 1467.65084
Jiang, Nan; Li, Ying; Yang, Huanhuan
4
2021
Discovery of dynamics using linear multistep methods. Zbl 1466.65050
Keller, Rachael T.; Du, Qiang
4
2021
A structure-preserving parametric finite element method for surface diffusion. Zbl 07423173
Bao, Weizhu; Zhao, Quan
4
2021
Asymptotically compatible reproducing kernel collocation and meshfree integration for nonlocal diffusion. Zbl 1456.82636
Leng, Yu; Tian, Xiaochuan; Trask, Nathaniel; Foster, John T.
3
2021
Modeling and analysis of the coupling in discrete fracture matrix models. Zbl 1473.65338
Gander, Martin J.; Hennicker, Julian; Masson, Roland
3
2021
An efficient and convergent finite element scheme for Cahn-Hilliard equations with dynamic boundary conditions. Zbl 1458.35345
Metzger, Stefan
3
2021
A general framework of low regularity integrators. Zbl 07372626
Rousset, Frédéric; Schratz, Katharina
3
2021
Enhancing accuracy of deep learning algorithms by training with low-discrepancy sequences. Zbl 07372628
Mishra, Siddhartha; Rusch, T. Konstantin
3
2021
Analysis and approximation of mixed-dimensional PDEs on 3D-1D domains coupled with Lagrange multipliers. Zbl 1460.35109
Kuchta, 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 1466.65134
Guo, Ruchi
3
2021
Hybrid localized spectral decomposition for multiscale problems. Zbl 1468.65221
Madureira, Alexandre L.; Sarkis, Marcus
3
2021
Carleman-based reconstruction algorithm for waves. Zbl 1461.93213
Baudouin, Lucie; de Buhan, Maya; Ervedoza, Sylvain; Osses, Axel
3
2021
The connections between Lyapunov functions for some optimization algorithms and differential equations. Zbl 1467.65070
Sanz Serna, J. M.; Zygalakis, K. C.
3
2021
A pressure-robust discretization of Oseen’s equation using stabilization in the vorticity equation. Zbl 1477.65185
Ahmed, 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 07453432
Huang, Fukeng; Shen, Jie
3
2021
Approximation of high-dimensional periodic functions with Fourier-based methods. Zbl 1476.65022
Potts, Daniel; Schmischke, Michael
2
2021
Finite element approximation of the modified Maxwell’s Stekloff eigenvalues. Zbl 1479.35305
Gong, Bo; Sun, Jiguang; Wu, Xinming
2
2021
The energy technique for the six-step BDF method. Zbl 1483.65153
Akrivis, Georgios; Chen, Minghua; Yu, Fan; Zhou, Zhi
2
2021
Hypocoercivity-compatible finite element methods for the long-time computation of Kolmogorov’s equation. Zbl 1456.65112
Georgoulis, Emmanuil H.
2
2021
Piecewise divergence-free nonconforming virtual elements for Stokes problem in any dimensions. Zbl 1468.76054
Wei, Huayi; Huang, Xuehai; Li, Ao
2
2021
Strong convergence of a Verlet integrator for the semilinear stochastic wave equation. Zbl 1471.60094
Banjai, Lehel; Lord, Gabriel; Molla, Jeta
2
2021
Analysis of radial complex scaling methods: scalar resonance problems. Zbl 1477.65215
Halla, Martin
2
2021
A priori error analysis of a numerical stochastic homogenization method. Zbl 07326332
Fischer, Julian; Gallistl, Dietmar; Peterseim, Daniel
2
2021
Space-time finite element discretization of parabolic optimal control problems with energy regularization. Zbl 1467.65094
Langer, Ulrich; Steinbach, Olaf; Tröltzsch, Fredi; Yang, Huidong
2
2021
Adaptive Morley FEM for the von Kármán equations with optimal convergence rates. Zbl 1467.65107
Carstensen, Carsten; Nataraj, Neela
2
2021
A high-order approach to elliptic multiscale problems with general unstructured coefficients. Zbl 1468.65201
Maier, Roland
2
2021
Error estimates for the optimal control of a parabolic fractional PDE. Zbl 1464.49001
Glusa, Christian; Otárola, Enrique
2
2021
An oscillation-free discontinuous Galerkin method for scalar hyperbolic conservation laws. Zbl 1467.65095
Lu, Jianfang; Liu, Yong; Shu, Chi-Wang
2
2021
Asymptotically-preserving large deviations principles by stochastic symplectic methods for a linear stochastic oscillator. Zbl 1466.60055
Chen, Chuchu; Hong, Jialing; Jin, Diancong; Sun, Liying
1
2021
A posteriori error analysis of the inf-sup constant for the divergence. Zbl 1456.65145
Gallistl, Dietmar
1
2021
Convergence of a second-order energy-decaying method for the viscous rotating shallow water equation. Zbl 1456.65057
Akrivis, Georgios; Li, Buyang; Wang, Jilu
1
2021
Time integration of tree tensor networks. Zbl 1461.65203
Ceruti, Gianluca; Lubich, Christian; Walach, Hanna
1
2021
Error analysis for probabilities of rare events with approximate models. Zbl 07372634
Wagner, 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 07372636
Bécache, Eliane; Kachanovska, Maryna
1
2021
Positivity of discrete time-fractional operators with applications to phase-field equations. Zbl 07383911
Karaa, Samir
1
2021
Numerical analysis of resonances by a slab of subwavelength slits by Fourier-matching method. Zbl 07383914
Zhou, Jiaxin; Lu, Wangtao
1
2021
A symplectic discontinuous Galerkin full discretization for stochastic Maxwell equations. Zbl 1470.60178
Chen, Chuchu
1
2021
Space-time approximation of stochastic \(p\)-Laplace-type systems. Zbl 07383918
Breit, Dominic; Hofmanová, Martina; Loisel, Sébastien
1
2021
A polynomial-degree-robust a posteriori error estimator for nédélec discretizations of magnetostatic problems. Zbl 07383919
Gedicke, 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 07383920
Ding, 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 1462.35235
Hu, Jingwei; Qi, Kunlun; Yang, Tong
1
2021
Distributed filtered hyperinterpolation for noisy data on the sphere. Zbl 07326331
Lin, 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 1468.65174
Feng, Xiaobing; Lewis, Thomas
1
2021
Stability-enhanced AP IMEX1-LDG method: energy-based stability and rigorous AP property. Zbl 1468.65147
Peng, 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 1468.65185
Carstensen, 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 1462.35318
Bao, Weizhu; Cai, Yongyong; Yin, Jia
1
2021
A mixed approach to the Poisson problem with line sources. Zbl 1466.35093
Gjerde, Ingeborg G.; Kumar, Kundan; Nordbotten, Jan M.
1
2021
Low-rank updates of matrix functions. II: Rational Krylov methods. Zbl 1469.65086
Beckermann, Bernhard; Cortinovis, Alice; Kressner, Daniel; Schweitzer, Marcel
1
2021
Error analysis of energy-preserving mixed finite element methods for the Hodge wave equation. Zbl 1476.65257
Wu, Yongke; Bai, Yanhong
1
2021
On discrete shape gradients of boundary type for PDE-constrained shape optimization. Zbl 1466.49035
Gong, 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 1479.65008
Li, Buyang
1
2021
Optimal regularity and error estimates of a spectral Galerkin method for fractional advection-diffusion-reaction equations. Zbl 1475.65121
Hao, Zhaopeng; Zhang, Zhongqiang
19
2020
An optimal-order numerical approximation to variable-order space-fractional diffusion equations on uniform or graded meshes. Zbl 1429.65168
Zheng, Xiangcheng; Wang, Hong
17
2020
An error estimate of a numerical approximation to a hidden-memory variable-order space-time fractional diffusion equation. Zbl 1450.65135
Zheng, Xiangcheng; Wang, Hong
16
2020
Error analysis of the SAV-MAC scheme for the Navier-Stokes equations. Zbl 1452.65167
Li, Xiaoli; Shen, Jie
15
2020
On energy stable, maximum-principle preserving, second-order BDF scheme with variable steps for the Allen-Cahn equation. Zbl 1447.65083
Liao, 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 1433.65102
Evans, 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 1471.65147
Kopteva, Natalia; Meng, Xiangyun
14
2020
Fast Fourier-like mapped Chebyshev spectral-Galerkin methods for PDEs with integral fractional Laplacian in unbounded domains. Zbl 1450.65154
Sheng, 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 1448.65157
García-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 1434.65129
Mustapha, Kassem
11
2020
Multidimensional sum-up rounding for elliptic control systems. Zbl 1455.49017
Manns, Paul; Kirches, Christian
8
2020
An artificial compression reduced order model. Zbl 1434.76064
DeCaria, Victor; Iliescu, Traian; Layton, William; McLaughlin, Michael; Schneier, Michael
8
2020
Domain decomposition with local impedance conditions for the Helmholtz equation with absorption. Zbl 1465.65162
Graham, Ivan G.; Spence, Euan A.; Zou, Jun
7
2020
Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem: global convergence and computational efficiency. Zbl 07210680
Henning, Patrick; Peterseim, Daniel
7
2020
Lagrangian discretization of crowd motion and linear diffusion. Zbl 1456.65137
Leclerc, Hugo; Mérigot, Quentin; Santambrogio, Filippo; Stra, Federico
7
2020
A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry. Zbl 1439.35368
Gopalakrishnan, Jay; Lederer, Philip L.; Schöberl, Joachim
7
2020
A Tchebycheffian extension of multidegree B-splines: algorithmic computation and properties. Zbl 1437.41004
Hiemstra, 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 1440.65101
Shen, Jie; Xu, Jie
6
2020
A multilevel algebraic error estimator and the corresponding iterative solver with \(p\)-robust behavior. Zbl 1451.65222
Miraçi, 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 07154062
Li, Buyang; Wang, Kai; Zhou, Zhi
6
2020
Tikhonov regularization within ensemble Kalman inversion. Zbl 1447.35337
Chada, Neil K.; Stuart, Andrew M.; Tong, Xin T.
6
2020
A divergence-conforming finite element method for the surface Stokes equation. Zbl 1451.65184
Bonito, Andrea; Demlow, Alan; Licht, Martin
5
2020
Optimal convergence rates for Tikhonov regularization in Besov spaces. Zbl 1478.65058
Weidling, Frederic; Sprung, Benjamin; Hohage, Thorsten
5
2020
A weighted setting for the numerical approximation of the Poisson problem with singular sources. Zbl 1447.65135
Drelichman, Irene; Durán, Ricardo G.; Ojea, Ignacio
5
2020
A multipoint stress mixed finite element method for elasticity on simplicial grids. Zbl 1451.65181
Ambartsumyan, Ilona; Khattatov, Eldar; Nordbotten, Jan M.; Yotov, Ivan
5
2020
FEAST for differential eigenvalue problems. Zbl 1439.65088
Horning, Andrew; Townsend, Alex
5
2020
A truly two-dimensional, asymptotic-preserving scheme for a discrete model of radiative transfer. Zbl 1434.80015
Gosse, Laurent; Vauchelet, Nicolas
5
2020
Convergence analysis of Grad’s Hermite expansion for linear kinetic equations. Zbl 1436.65150
Sarna, Neeraj; Giesselmann, Jan; Torrilhon, Manuel
5
2020
\(H^2\)-stable polynomial liftings on triangles. Zbl 1460.46020
Ainsworth, Mark; Parker, Charles
4
2020
Optimality and regularization properties of quasi-interpolation: deterministic and stochastic approaches. Zbl 07227715
Gao, 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 1447.65080
Kean, Kiera; Schneier, Michael
4
2020
A minimal stabilization procedure for isogeometric methods on trimmed geometries. Zbl 1453.65403
Buffa, A.; Puppi, R.; Vázquez, R.
4
2020
High-order time stepping schemes for semilinear subdiffusion equations. Zbl 1452.65252
Wang, Kai; Zhou, Zhi
4
2020
Discretization of linear problems in Banach spaces: residual minimization, nonlinear Petrov-Galerkin, and monotone mixed methods. Zbl 1457.65024
Muga, 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 1432.76162
Li, Buyang; Wang, Jilu; Xu, Liwei
4
2020
High-order mass-lumped schemes for nonlinear degenerate elliptic equations. Zbl 1447.65116
Droniou, Jerome; Eymard, Robert
4
2020
Sharp uniform convergence rate of the supercell approximation of a crystalline defect. Zbl 1479.65018
Braun, Julian; Ortner, Christoph
4
2020
Numerical analysis of unsteady implicitly constituted incompressible fluids: 3-field formulation. Zbl 1434.76065
Farrell, Patrick E.; Gazca-Orozco, P. A.; Süli, Endre
4
2020
Extrinsic meshless collocation methods for PDEs on manifolds. Zbl 1435.65216
Chen, Meng; Ling, Leevan
4
2020
...and 1747 more Documents
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