×

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: Journal; Indexed cover-to-cover
Documents Indexed: 5,996 Publications (since 1966)
References Indexed: 1,156 Publications with 41,215 References.
all top 5

Latest Issues

62, No. 1 (2024)
61, No. 6 (2023)
61, No. 5 (2023)
61, No. 4 (2023)
61, No. 3 (2023)
61, No. 2 (2023)
61, No. 1 (2023)
60, No. 6 (2022)
60, No. 5 (2022)
60, No. 4 (2022)
60, No. 3 (2022)
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)
...and 147 more Volumes
all top 5

Authors

40 Carstensen, Carsten
37 Manteuffel, Thomas A.
37 Wheeler, Mary Fanett
36 Babuška, Ivo
34 Du, Qiang
31 Nochetto, Ricardo Horacio
31 Shu, Chi-Wang
30 Cockburn, Bernardo
29 Cai, Zhiqiang
29 McCormick, Steve Fahrney
27 Shen, Jie
26 Sloan, Ian Hugh
25 Schwab, Christoph
25 Sun, Weiwei
24 Gunzburger, Max D.
24 Li, Buyang
23 Süli, Endre E.
22 Ainsworth, Mark
22 Ewing, Richard Edward
20 Bartels, Sören
20 Burman, Erik
20 Guermond, Jean-Luc
20 Rheinboldt, Werner C.
20 Widlund, Olof B.
19 Osher, Stanley Joel
19 Starke, Gerhard
19 Tadmor, Eitan
18 Wohlmuth, Barbara I.
17 Bank, Randolph E.
17 Ern, Alexandre
17 Feng, Xiaobing
17 Gopalakrishnan, Jay
17 Kelley, Carl T.
17 Layton, William J.
17 Lubich, Christian
17 Parter, Seymour V.
17 Russell, Robert D.
17 Schumaker, Larry L.
17 Wang, Junping
17 Zhang, Zhimin
16 Durán, Ricardo G.
16 Fairweather, Graeme
16 Lazarov, Raytcho D.
16 Maday, Yvon
16 Quarteroni, Alfio M.
16 Walkington, Noel J.
15 Arbogast, Todd
15 Beirão da Veiga, Lourenço
15 Bernardi, Christine
15 Prohl, Andreas
15 Thomée, Vidar
14 Atkinson, Kendall Eugene
14 Barrett, John William
14 Brunner, Hermann
14 Dahmen, Wolfgang A.
14 Dawson, Clint N.
14 Gottlieb, David I.
14 Kreiss, Heinz-Otto
14 Lin, Yanping
14 Liu, Steve Wenbin
14 Makridakis, Charalambos G.
14 Reusken, Arnold
14 Stroud, Arthur H.
14 Tang, Tao
14 Wang, Hong
14 Xu, Jinchao
14 Yotov, Ivan
13 Bao, Weizhu
13 Bialecki, Bernard
13 Burrage, Kevin
13 Conn, Andrew Roger
13 Demkowicz, Leszek F.
13 Demlow, Alan
13 Dupont, Todd F.
13 Graham, Ivan G.
13 Johnson, Claes G. L.
13 Nicolaides, Roy A.
13 Schötzau, Dominik
13 Trefethen, Lloyd Nicholas
12 Ascher, Uri M.
12 Bochev, Pavel B.
12 Brenner, Susanne Cecelia
12 Chan, Tony Fan-Cheong
12 Falk, Richard S.
12 Gander, Martin Jakob
12 Jin, Shi
12 Joly, Patrick
12 Luskin, Mitchell
12 Ma, Heping
12 Novo, Julia
12 Ostermann, Alexander
12 Pareschi, Lorenzo
12 Petzold, Linda Ruth
12 Sauter, Stefan
12 Stuart, Andrew M.
12 Wu, Haijun
11 Bramble, James H.
11 Canuto, Claudio
11 Dick, Josef
11 Dryja, Maksymilian
...and 5,293 more Authors
all top 5

Fields

5,405 Numerical analysis (65-XX)
2,384 Partial differential equations (35-XX)
776 Fluid mechanics (76-XX)
464 Approximations and expansions (41-XX)
449 Ordinary differential equations (34-XX)
266 Mechanics of deformable solids (74-XX)
260 Calculus of variations and optimal control; optimization (49-XX)
251 Integral equations (45-XX)
217 Probability theory and stochastic processes (60-XX)
177 Optics, electromagnetic theory (78-XX)
177 Operations research, mathematical programming (90-XX)
164 Operator theory (47-XX)
146 Statistical mechanics, structure of matter (82-XX)
135 Linear and multilinear algebra; matrix theory (15-XX)
110 Dynamical systems and ergodic theory (37-XX)
93 Computer science (68-XX)
77 Harmonic analysis on Euclidean spaces (42-XX)
65 Functional analysis (46-XX)
63 Biology and other natural sciences (92-XX)
59 Systems theory; control (93-XX)
56 Functions of a complex variable (30-XX)
55 Real functions (26-XX)
52 Special functions (33-XX)
51 Statistics (62-XX)
45 Potential theory (31-XX)
43 Global analysis, analysis on manifolds (58-XX)
43 Quantum theory (81-XX)
43 Geophysics (86-XX)
42 Information and communication theory, circuits (94-XX)
39 Classical thermodynamics, heat transfer (80-XX)
37 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
34 Mechanics of particles and systems (70-XX)
30 Integral transforms, operational calculus (44-XX)
23 Number theory (11-XX)
23 Differential geometry (53-XX)
16 Difference and functional equations (39-XX)
13 Combinatorics (05-XX)
13 Sequences, series, summability (40-XX)
10 Astronomy and astrophysics (85-XX)
9 Field theory and polynomials (12-XX)
9 Algebraic geometry (14-XX)
5 Commutative algebra (13-XX)
5 Convex and discrete geometry (52-XX)
5 Relativity and gravitational theory (83-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)
2 History and biography (01-XX)
2 Geometry (51-XX)
2 Mathematics education (97-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 Several complex variables and analytic spaces (32-XX)

Publications by Year

Citations contained in zbMATH Open

5,606 Publications have been cited 148,538 times in 71,597 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
1998
On the construction and comparison of difference schemes. Zbl 0184.38503
Strang, Gilbert
890
1968
Splitting algorithms for the sum of two nonlinear operators. Zbl 0426.65050
Lions, Pierre-Louis; Mercier, B.
783
1979
An interior penalty finite element method with discontinuous elements. Zbl 0482.65060
Arnold, Douglas N.
709
1982
The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. Zbl 0811.65083
LeVeque, Randall J.; Li, Zhilin
665
1994
High resolution schemes using flux limiters for hyperbolic conservation laws. Zbl 0565.65048
Sweby, P. K.
645
1984
A convergent adaptive algorithm for Poisson’s equation. Zbl 0854.65090
Dörfler, Willy
596
1996
Unified hybridization of discontinuous Galerkin, mixed, and continuous Galerkin methods for second order elliptic problems. Zbl 1205.65312
Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Lazarov, Raytcho
567
2009
Inexact Newton methods. Zbl 0478.65030
Dembo, Ron S.; Eisenstat, Stanley C.; Steihaug, Trond
542
1982
A nonmonotone line search technique for Newton’s method. Zbl 0616.65067
Grippo, L.; Lampariello, F.; Lucidi, S.
522
1986
Error estimates for adaptive finite element computations. Zbl 0398.65069
Babuška, Ivo; Rheinboldt, W. C.
493
1978
Solution of sparse indefinite systems of linear equations. Zbl 0319.65025
Paige, C. C.; Saunders, M. A.
474
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.
448
1982
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
439
1990
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
438
1982
Implicit-explicit methods for time-dependent partial differential equations. Zbl 0841.65081
Ascher, Uri M.; Ruuth, Steven J.; Wetton, Brian T. R.
437
1995
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
427
2017
A stochastic collocation method for elliptic partial differential equations with random input data. Zbl 1151.65008
Babuška, Ivo; Nobile, Fabio; Tempone, Raúl
415
2007
A space-time spectral method for the time fractional diffusion equation. Zbl 1193.35243
Li, Xianjuan; Xu, Chuanju
410
2009
Two-grid discretization techniques for linear and nonlinear PDEs. Zbl 0860.65119
Xu, Jinchao
404
1996
Galerkin finite element approximations of stochastic elliptic partial differential equations. Zbl 1080.65003
Babuska, Ivo; Tempone, Raúl; Zouraris, Georgios E.
379
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.
363
2008
An elliptic collocation-finite element method with interior penalties. Zbl 0384.65058
Wheeler, Mary Fanett
363
1978
Strong convergence of Euler-type methods for nonlinear stochastic differential equations. Zbl 1026.65003
Higham, Desmond J.; Mao, Xuerong; Stuart, Andrew M.
333
2002
The rotation of eigenvectors by a perturbation. III. Zbl 0198.47201
Davis, Chandler; Kahan, W. M.
328
1970
Uniformly high-order accurate nonoscillatory schemes. I. Zbl 0627.65102
Harten, Ami; Osher, Stanley
326
1987
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.
311
2009
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.
306
2005
Coupling fluid flow with porous media flow. Zbl 1037.76014
Layton, William J.; Schieweck, Friedhelm; Yotov, Ivan
301
2003
High-resolution conservative algorithms for advection in incompressible flow. Zbl 0852.76057
LeVeque, Randall J.
300
1996
On the \(O(1/n)\) convergence rate of the Douglas-Rachford alternating direction method. Zbl 1245.90084
He, Bingsheng; Yuan, Xiaoming
294
2012
Stability theory for systems of inequalities. II: Differentiable nonlinear systems. Zbl 0347.90050
Robinson, Stephen M.
293
1976
Finite element method for the space and time fractional Fokker-Planck equation. Zbl 1416.65344
Deng, Weihua
283
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
280
1996
Variational iterative methods for nonsymmetric systems of linear equations. Zbl 0524.65019
Eisenstat, Stanley C.; Elman, Howard C.; Schultz, Martin H.
271
1983
A new class of optimal high-order strong-stability-preserving time discretization methods. Zbl 1020.65064
Spiteri, Raymond J.; Ruuth, Steven J.
267
2002
High-order essentially nonoscillatory schemes for Hamilton-Jacobi equations. Zbl 0736.65066
Osher, Stanley; Shu, Chi-Wang
267
1991
Virtual elements for linear elasticity problems. Zbl 1268.74010
Beirao da Veiga, L.; Brezzi, F.; Marini, L. D.
266
2013
On Krylov subspace approximations to the matrix exponential operator. Zbl 0888.65032
Hochbruck, Marlis; Lubich, Christian
265
1997
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.
260
2009
Poincaré–Friedrichs inequalities for piecewise \(H^{1}\) functions. Zbl 1045.65100
Brenner, Susanne C.
255
2003
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
253
2000
Quasi-optimal convergence rate for an adaptive finite element method. Zbl 1176.65122
Cascon, J. Manuel; Kreuzer, Christian; Nochetto, Ricardo H.; Siebert, Kunibert G.
252
2008
Inexact and preconditioned Uzawa algorithms for saddle point problems. Zbl 0815.65041
Elman, Howard C.; Golub, Gene H.
251
1994
A priori \(L_2\) error estimates for Galerkin approximations to parabolic partial differential equations. Zbl 0232.35060
Wheeler, Mary Fanett
248
1972
Image selective smoothing and edge detection by nonlinear diffusion. Zbl 0746.65091
Catté, Francine; Lions, Pierre-Louis; Morel, Jean-Michel; Coll, Tomeu
248
1992
On Godunov-type methods for gas dynamics. Zbl 0642.76088
Einfeldt, Bernd
243
1988
Diagonally implicit Runge-Kutta methods for stiff O.D.E.’s. Zbl 0374.65038
Alexander, Roger
242
1977
Galerkin proper orthogonal decomposition methods for a general equation in fluid dynamics. Zbl 1075.65118
Kunisch, K.; Volkwein, S.
240
2002
Error estimate procedure in the finite element method and applications. Zbl 0582.65078
Ladeveze, P.; Leguillon, D.
239
1983
An algorithm for generalized matrix eigenvalue problems. Zbl 0253.65019
Moler, C. B.; Stewart, G. W.
236
1973
Discontinuous \(hp\)-finite element methods for advection-diffusion-reaction problems. Zbl 1015.65067
Houston, Paul; Schwab, Christoph; Süli, Endre
234
2002
Some error estimates for the box method. Zbl 0634.65105
Bank, Randolph E.; Rose, Donald J.
234
1987
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.
234
2012
Stabilization of low-order mixed finite elements for the Stokes equations. Zbl 1145.76015
Bochev, Pavel B.; Dohrmann, Clark R.; Gunzburger, Max D.
231
2006
Nested dissection of a regular finite element mesh. Zbl 0259.65087
George, Alan
227
1973
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.
224
2008
Analysis of the inexact Uzawa algorithm for saddle point problems. Zbl 0873.65031
Bramble, James H.; Pasciak, Joseph E.; Vassilev, Apostol T.
222
1997
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.
221
1994
Adaptive finite element methods for parabolic problems. I: A linear model problem. Zbl 0732.65093
Eriksson, Kenneth; Johnson, Claes
217
1991
On direct methods for solving Poisson’s equations. Zbl 0217.52902
Buzbee, B. L.; Golub, G. H.; Nielson, C. W.
215
1970
Monotone piecewise cubic interpolation. Zbl 0423.65011
Fritsch, F. N.; Carlson, R. E.
215
1980
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.
214
2014
A posteriori error estimates for a discontinuous Galerkin approximation of second-order elliptic problems. Zbl 1058.65120
Karakashian, Ohannes A.; Pascal, Frederic
211
2003
Data oscillation and convergence of adaptive FEM. Zbl 0970.65113
Morin, Pedro; Nochetto, Ricardo H.; Siebert, Kunibert G.
210
2000
Numerical methods for nonconservative hyperbolic systems: A theoretical framework. Zbl 1130.65089
Parés, Carlos
209
2006
Sharp error estimate of the nonuniform L1 formula for linear reaction-subdiffusion equations. Zbl 1447.65026
Liao, Hong-lin; Li, Dongfang; Zhang, Jiwei
207
2018
Collocation at Gaussian points. Zbl 0232.65065
de Boor, Carl; Swartz, Blair
207
1973
A mortar finite element method using dual spaces for the Lagrange multiplier. Zbl 0974.65105
Wohlmuth, Barbara I.
206
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.
206
2008
Analysis of some Krylov subspace approximations to the matrix exponential operator. Zbl 0749.65030
Saad, Y.
205
1992
A local discontinuous Galerkin method for KdV type equations. Zbl 1021.65050
Yan, Jue; Shu, Chi-Wang
204
2002
The conjugate gradient method and trust regions in large scale optimization. Zbl 0518.65042
Steihaug, Trond
199
1983
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
198
2001
Mean-square and asymptotic stability of the stochastic theta method. Zbl 0982.60051
Higham, Desmond J.
197
2000
Stability analysis of large time-stepping methods for epitaxial growth models. Zbl 1127.65069
Xu, Chuanju; Tang, Tao
197
2006
Explicit exponential Runge-Kutta methods for semilinear parabolic problems. Zbl 1093.65052
Hochbruck, Marlis; Ostermann, Alexander
195
2005
Iterative solution of implicit approximations of multidimensional partial differential equations. Zbl 0197.13304
Stone, H. L.
193
1968
Stability analysis of numerical schemes for stochastic differential equations. Zbl 0869.60052
Saito, Yoshihiro; Mitsui, Taketomo
193
1996
On the angle condition in the finite element method. Zbl 0324.65046
Babuška, Ivo; Aziz, A. K.
193
1976
The differentiation of pseudo-inverses and nonlinear least squares problems whose variables separate. Zbl 0258.65045
Golub, G. H.; Pereyra, V.
192
1973
Optimized Schwarz methods. Zbl 1117.65165
Gander, Martin J.
191
2006
Convergence of the mimetic finite difference method for diffusion problems on polyhedral meshes. Zbl 1108.65102
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail
188
2005
An analysis of the total least squares problem. Zbl 0468.65011
Golub, Gene H.; Van Loan, Charles F.
188
1980
A family of fourth-order methods for nonlinear equations. Zbl 0266.65040
King, Richard F.
187
1973
On the accuracy of the finite volume element method based on piecewise linear polynomials. Zbl 1036.65084
Ewing, Richard E.; Lin, Tao; Lin, Yanping
185
2002
A generalization of a theorem of Böcher. Zbl 0173.02703
Marden, M.
184
1966
Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences. Zbl 0880.65084
Arbogast, Todd; Wheeler, Mary F.; Yotov, Ivan
184
1997
Error estimates for a semidiscrete finite element method for fractional order parabolic equations. Zbl 1268.65126
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi
183
2013
Application of an ultra weak variational formulation of elliptic PDEs to the two-dimensional Helmholtz problem. Zbl 0955.65081
Cessenat, Olivier; Despres, Bruno
183
1998
Comparing numerical methods for ordinary differential equations. Zbl 0221.65115
Hull, T. E.; Enright, W. H.; Fellen, B. M.; Sedgwick, A. E.
181
1972
Explicit Runge-Kutta (-Nyström) methods with reduced phase errors for computing oscillating solutions. Zbl 0624.65058
Van der Houwen, P. J.; Sommeijer, B. P.
179
1987
Fundamental solutions method for elliptic boundary value problems. Zbl 0579.65121
Bogomolny, Alexander
178
1985
Two-level method based on finite element and Crank-Nicolson extrapolation for the time-dependent Navier-Stokes equations. Zbl 1130.76365
He, Yinnian
178
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
177
1997
An energy stable and convergent finite-difference scheme for the modified phase field crystal equation. Zbl 1230.82005
Wang, C.; Wise, S. M.
177
2011
A globally convergent augmented Lagrangian algorithm for optimization with general constraints and simple bounds. Zbl 0724.65067
Conn, Andrew R.; Gould, Nicholas I. M.; Toint, Philippe L.
176
1991
The approximate solution of elliptic boundary-value problems by fundamental solutions. Zbl 0368.65058
Mathon, Rudolf; Johnston, R. L.
175
1977
A two-grid method of a mixed Stokes-Darcy model for coupling fluid flow with porous media flow. Zbl 1146.76031
Mu, Mo; Xu, Jinchao
174
2007
Summation-by-parts operators for general function spaces. Zbl 07679126
Glaubitz, Jan; Nordström, Jan; Öffner, Philipp
5
2023
Rank-adaptive time integration of tree tensor networks. Zbl 1511.65064
Ceruti, Gianluca; Lubich, Christian; Sulz, Dominik
4
2023
A new thermodynamically compatible finite volume scheme for magnetohydrodynamics. Zbl 07670867
Busto, Saray; Dumbser, Michael
4
2023
Adaptive VEM: stabilization-free a posteriori error analysis and contraction property. Zbl 1512.65258
Beirão da Veiga, L.; Canuto, C.; Nochetto, R. H.; Vacca, G.; Verani, M.
4
2023
Geometric two-scale integrators for highly oscillatory system: uniform accuracy and near conservations. Zbl 1517.65128
Wang, Bin; Zhao, Xiaofei
4
2023
A symmetrized parametric finite element method for anisotropic surface diffusion of closed curves. Zbl 1512.65205
Bao, Weizhu; Jiang, Wei; Li, Yifei
3
2023
Analysis of error localization of Chebyshev spectral approximations. Zbl 07688695
Wang, Haiyong
3
2023
Discrete gradient structure of a second-order variable-step method for nonlinear integro-differential models. Zbl 1527.35452
Liao, Hong-lin; Liu, Nan; Lyu, Pin
2
2023
A unifying framework for interpolatory \(\mathcal{L}_2\)-optimal reduced-order modeling. Zbl 1523.30048
Mlinarić, Petar; Gugercin, Serkan
2
2023
Provably positive central discontinuous Galerkin schemes via geometric quasilinearization for ideal MHD equations. Zbl 1516.65102
Wu, Kailiang; Jiang, Haili; Shu, Chi-Wang
2
2023
Fluid-fluid interaction problems at high Reynolds numbers: reducing the modeling error with LES-C. Zbl 1520.76042
Aggul, Mustafa; Labovsky, Alexander E.; Onal, Eda; Schwiebert, Kyle J.
2
2023
Optimization and convergence of numerical attractors for discrete-time quasi-linear lattice system. Zbl 1512.65161
Li, Yangrong; Yang, Shuang; Caraballo, Tomás
2
2023
Value-gradient based formulation of optimal control problem and machine learning algorithm. Zbl 1523.49031
Bensoussan, Alain; Han, Jiayue; Yam, Sheung Chi Phillip; Zhou, Xiang
2
2023
An exponential spectral method using VP means for semilinear subdiffusion equations with rough data. Zbl 07754853
Li, Buyang; Lin, Yanping; Ma, Shu; Rao, Qiqi
1
2023
Nonconforming virtual elements for the biharmonic equation with Morley degrees of freedom on polygonal meshes. Zbl 07764835
Carstensen, Carsten; Khot, Rekha; Pani, Amiya K.
1
2023
Convergence of a time discrete scheme for a chemotaxis-consumption model. Zbl 07764837
Guillén-González, Francisco; Corrêa Vianna Filho, André Luiz
1
2023
High-order BDF convolution quadrature for subdiffusion models with a singular source term. Zbl 07764839
Shi, Jiankang; Chen, Minghua
1
2023
Monte Carlo gradient in optimization constrained by radiative transport equation. Zbl 07770184
Li, Qin; Wang, Li; Yang, Yunan
1
2023
A local discontinuous Galerkin approximation for the \(p\)-Navier-Stokes system. I: Convergence analysis. Zbl 1518.76035
Kaltenbach, Alex; RůžIčka, Michael
1
2023
A local discontinuous Galerkin approximation for the \(p\) -Navier-Stokes system. II: Convergence rates for the velocity. Zbl 1518.76036
Kaltenbach, Alex; Růžička, Michael
1
2023
On the convergence of discontinuous Galerkin/Hermite spectral methods for the Vlasov-Poisson system. Zbl 1519.65043
Bessemoulin-Chatard, Marianne; Filbet, Francis
1
2023
A local discontinuous Galerkin approximation for the \(p\)-Navier-Stokes system. III: Convergence rates for the pressure. Zbl 1518.76037
Kaltenbach, Alex; Růžička, Michael
1
2023
\(p\)-robust equilibrated flux reconstruction in \(\boldsymbol{H}(\mathrm{curl})\) based on local minimizations: application to a posteriori analysis of the curl-curl problem. Zbl 07713544
Chaumont-Frelet, Théophile; Vohralík, Martin
1
2023
A convexity-preserving and perimeter-decreasing parametric finite element method for the area-preserving curve shortening flow. Zbl 1522.65174
Jiang, Wei; Su, Chunmei; Zhang, Ganghui
1
2023
Wavenumber explicit convergence of a multiscale generalized finite element method for heterogeneous Helmholtz problems. Zbl 1517.65085
Chupeng, Ma; Alber, Christian; Scheichl, Robert
1
2023
The mpEDMD algorithm for data-driven computations of measure-preserving dynamical systems. Zbl 1517.65038
Colbrook, Matthew J.
1
2023
Agglomeration-based geometric multigrid schemes for the virtual element method. Zbl 1512.65290
Antonietti, Paola F.; Berrone, Stefano; Busetto, Martina; Verani, Marco
1
2023
Convergence analysis of Newton-Schur method for symmetric elliptic eigenvalue problem. Zbl 1519.65051
Shao, Nian; Chen, Wenbin
1
2023
Adaptive finite element approximations for elliptic problems using regularized forcing data. Zbl 1515.65292
Heltai, Luca; Lei, Wenyu
1
2023
Computational lower bounds of the Maxwell eigenvalues. Zbl 1518.35581
Gallistl, Dietmar; Olkhovskiy, Vladislav
1
2023
Nonlinear eigenvalue methods for linear pointwise stability of nonlinear waves. Zbl 1510.65101
Scheel, Arnd
1
2023
A numerical energy reduction approach for semilinear diffusion-reaction boundary value problems based on steady-state iterations. Zbl 07679127
Amrein, Mario; Heid, Pascal; Wihler, Thomas P.
1
2023
Direct guaranteed lower eigenvalue bounds with optimal a priori convergence rates for the bi-Laplacian. Zbl 1521.65118
Carstensen, Carsten; Puttkammer, Sophie
1
2023
Efficient stability-preserving numerical methods for nonlinear coercive problems in vector space. Zbl 07679130
Wang, Wansheng; Li, Shoufu
1
2023
Optimal analysis of non-uniform Galerkin-mixed finite element approximations to the Ginzburg-Landau equations in superconductivity. Zbl 1514.65128
Gao, Huadong; Sun, Weiwei
1
2023
Robust superlinear Krylov convergence for complex noncoercive compact-equivalent operator preconditioners. Zbl 1515.65073
Axelsson, Owe; Karátson, János; Magoulès, Frédéric
1
2023
Optimal \(L^2\) error estimates of unconditionally stable finite element schemes for the Cahn-Hilliard-Navier-Stokes system. Zbl 07688703
Cai, Wentao; Sun, Weiwei; Wang, Jilu; Yang, Zongze
1
2023
POD-ROMs for incompressible flows including snapshots of the temporal derivative of the full order solution. Zbl 1516.65086
García-Archilla, Bosco; John, Volker; Novo, Julia
1
2023
Generalized SAV-exponential integrator schemes for Allen-Cahn type gradient flows. Zbl 07572361
Ju, Lili; Li, Xiao; Qiao, Zhonghua
12
2022
Convergence analysis of the variational operator splitting scheme for a reaction-diffusion system with detailed balance. Zbl 07516278
Liu, Chun; Wang, Cheng; Wang, Yiwei; Wise, Steven M.
11
2022
Exponential convolution quadrature for nonlinear subdiffusion equations with nonsmooth initial data. Zbl 1496.65166
Li, Buyang; Ma, Shu
10
2022
A new Lagrange multiplier approach for constructing structure preserving schemes. II: Bound preserving. Zbl 1491.65110
Cheng, Qing; Shen, Jie
9
2022
Stability and error analysis of IMEX SAV schemes for the magneto-hydrodynamic equations. Zbl 1492.65269
Li, Xiaoli; Wang, Weilong; Shen, Jie
9
2022
Improved uniform error bounds on time-splitting methods for long-time dynamics of the nonlinear Klein-Gordon equation with weak nonlinearity. Zbl 07572363
Bao, Weizhu; Cai, Yongyong; Feng, Yue
8
2022
A family of finite element Stokes complexes in three dimensions. Zbl 1522.65212
Hu, Kaibo; Zhang, Qian; Zhang, Zhimin
7
2022
Finite elements for div- and divdiv-conforming symmetric tensors in arbitrary dimension. Zbl 1496.65213
Chen, Long; Huang, Xuehai
6
2022
A variable time step time filter algorithm for the geothermal system. Zbl 1505.76061
Qin, Yi; Wang, Yongshuai; Li, Jian
5
2022
A note on sampling recovery of multivariate functions in the uniform norm. Zbl 1510.94078
Pozharska, Kateryna; Ullrich, Tino
5
2022
\(H^m\)-conforming virtual elements in arbitrary dimension. Zbl 1514.65166
Chen, Chunyu; Huang, Xuehai; Wei, Huayi
5
2022
Stratified radiative transfer in a fluid and numerical applications to Earth science. Zbl 1502.35173
Golse, François; Pironneau, Olivier R.
5
2022
On the convergence of adaptive stochastic collocation for elliptic partial differential equations with affine diffusion. Zbl 1508.65163
Eigel, Martin; Ernst, Oliver G.; Sprungk, Björn; Tamellini, Lorenzo
4
2022
Sharper error estimates for virtual elements and a bubble-enriched version. Zbl 1498.65195
Beirão da Veiga, L.; Vacca, G.
4
2022
A unified convergence analysis for the fractional diffusion equation driven by fractional Gaussian noise with Hurst index \(H\in(0,1)\). Zbl 07556062
Nie, Daxin; Deng, Weihua
4
2022
Moment preserving Fourier-Galerkin spectral methods and application to the Boltzmann equation. Zbl 1511.76073
Pareschi, Lorenzo; Rey, Thomas
4
2022
Error estimates for Euler discretization of high-index saddle dynamics. Zbl 1507.37110
Zhang, Lei; Zhang, Pingwen; Zheng, Xiangcheng
4
2022
Fractional semilinear optimal control: optimality conditions, convergence, and error analysis. Zbl 1527.49026
Otárola, Enrique
4
2022
Temporal second-order finite difference schemes for variable-order time-fractional wave equations. Zbl 1481.65128
Du, Rui-lian; Sun, Zhi-zhong; Wang, Hong
4
2022
A \(C^1\) conforming Petrov-Galerkin method for convection-diffusion equations and superconvergence analysis over rectangular meshes. Zbl 07714592
Cao, Waixiang; Jia, Lueling; Zhang, Zhimin
3
2022
Computing semigroups with error control. Zbl 1520.65033
Colbrook, Matthew J.
3
2022
On the coupling of the curved virtual element method with the one-equation boundary element method for 2D exterior Helmholtz problems. Zbl 1501.65145
Desiderio, Luca; Falletta, Silvia; Ferrari, Matteo; Scuderi, Letizia
3
2022
Optimized transmission conditions in domain decomposition methods with cross-points for Helmholtz equation. Zbl 1505.65304
Després, B.; Nicolopoulos, A.; Thierry, B.
3
2022
Hybrid high-order and weak Galerkin methods for the biharmonic problem. Zbl 1501.65111
Dong, Zhaonan; Ern, Alexandre
3
2022
Convergence analysis of discrete high-index saddle dynamics. Zbl 1506.37101
Luo, Yue; Zheng, Xiangcheng; Cheng, Xiangle; Zhang, Lei
3
2022
Identification of potential in diffusion equations from terminal observation: analysis and discrete approximation. Zbl 1506.65144
Zhang, Zhengqi; Zhang, Zhidong; Zhou, Zhi
3
2022
Locking-free enriched Galerkin method for linear elasticity. Zbl 1483.65195
Yi, Son-Young; Lee, Sanghyun; Zikatanov, Ludmil
3
2022
Well-posedness and convergence of a finite volume method for conservation laws on networks. Zbl 07498295
Fjordholm, Ulrik S.; Musch, Markus; Risebro, Nils H.
3
2022
Uniformly accurate low regularity integrators for the Klein-Gordon equation from the classical to nonrelativistic limit regime. Zbl 1492.35297
Calvo, María Cabrera; Schratz, Katharina
3
2022
Local convergence of the FEM for the integral fractional Laplacian. Zbl 07534669
Faustmann, Markus; Karkulik, Michael; Melenk, Jens Markus
3
2022
MINRES for second-order PDEs with singular data. Zbl 1491.65136
Führer, Thomas; Heuer, Norbert; Karkulik, Michael
3
2022
Flux-mortar mixed finite element methods on nonmatching grids. Zbl 1493.65192
Boon, Wietse M.; Gläser, Dennis; Helmig, Rainer; Yotov, Ivan
3
2022
Stochastic convergence of regularized solutions and their finite element approximations to inverse source problems. Zbl 07506907
Chen, Zhiming; Zhang, Wenlong; Zou, Jun
2
2022
Novel design and analysis of generalized finite element methods based on locally optimal spectral approximations. Zbl 07714591
Ma, Chupeng; Scheichl, Robert; Dodwell, Tim
2
2022
Accuracy of spectral element method for wave, parabolic, and Schrödinger equations. Zbl 1525.65094
Li, Hao; Appelö, Daniel; Zhang, Xiangxiong
2
2022
High order strong stability preserving multiderivative implicit and IMEX Runge-Kutta methods with asymptotic preserving properties. Zbl 1522.65120
Gottlieb, Sigal; Grant, Zachary J.; Hu, Jingwei; Shu, Ruiwen
2
2022
\(L^2\) error estimate to smooth solutions of high order Runge-Kutta discontinuous Galerkin method for scalar nonlinear conservation laws with and without sonic points. Zbl 1501.65062
Ai, Jingqi; Xu, Yuan; Shu, Chi-Wang; Zhang, Qiang
2
2022
Isoparametric unfitted BDF-finite element method for PDEs on evolving domains. Zbl 1501.65076
Lou, Yimin; Lehrenfeld, Christoph
2
2022
Convergence analysis of a fully discrete energy-stable numerical scheme for the Q-tensor flow of liquid crystals. Zbl 1508.65102
Gudibanda, Varun M.; Weber, Franziska; Yue, Yukun
2
2022
On convergence of numerical solutions for the compressible MHD system with exactly divergence-free magnetic field. Zbl 1513.76173
Li, Yang; She, Bangwei
2
2022
A fourth-order unfitted characteristic finite element method for solving the advection-diffusion equation on time-varying domains. Zbl 1503.65240
Ma, Chuwen; Zhang, Qinghai; Zheng, Weiying
2
2022
Stability of variable-step BDF2 and BDF3 methods. Zbl 1501.65041
Li, Zhaoyi; Liao, Hong-lin
2
2022
A semi-implicit exponential low-regularity integrator for the Navier-Stokes equations. Zbl 1503.65237
Li, Buyang; Ma, Shu; Schratz, Katharina
2
2022
On energy laws and stability of Runge-Kutta methods for linear seminegative problems. Zbl 1502.65143
Sun, Zheng; Wei, Yuanzhe; Wu, Kailiang
2
2022
Neural parametric Fokker-Planck equation. Zbl 1493.65132
Liu, Shu; Li, Wuchen; Zha, Hongyuan; Zhou, Haomin
2
2022
On the stability of unconditionally positive and linear invariants preserving time integration schemes. Zbl 1506.65098
Izgin, Thomas; Kopecz, Stefan; Meister, Andreas
2
2022
Full discretization of Cauchy’s problem by Lavrentiev-finite element method. Zbl 07498293
Ben Belgacem, Faker; Girault, Vivette; Jelassi, Faten
2
2022
Coupling parareal with optimized Schwarz waveform relaxation for parabolic problems. Zbl 1492.65260
Bui, Duc Quang; Japhet, Caroline; Maday, Yvon; Omnes, Pascal
2
2022
An embedded exponential-type low-regularity integrator for mKdV equation. Zbl 07534667
Ning, Cui; Wu, Yifei; Zhao, Xiaofei
2
2022
Conforming finite element divdiv complexes and the application for the linearized Einstein-Bianchi system. Zbl 1490.65275
Hu, Jun; Liang, Yizhou; Ma, Rui
2
2022
A space-time Trefftz discontinuous Galerkin method for the linear Schrödinger equation. Zbl 1491.65093
Gómez, Sergio; Moiola, Andrea
1
2022
Approximations of energy minimization in cell-induced phase transitions of fibrous biomaterials: \(\Gamma\)-convergence analysis. Zbl 1489.65159
Grekas, Georgios; Koumatos, Konstantinos; Makridakis, Charalambos; Rosakis, Phoebus
1
2022
Robust preconditioning and error estimates for optimal control of the convection-diffusion-reaction equation with limited observation in isogeometric analysis. Zbl 1518.49026
Mardal, Kent-Andre; Sogn, Jarle; Takacs, Stefan
1
2022
An entropy structure preserving space-time formulation for cross-diffusion systems: analysis and Galerkin discretization. Zbl 07714595
Braukhoff, Marcel; Perugia, Ilaria; Stocker, Paul
1
2022
Analysis and approximations of Dirichlet boundary control of Stokes flows in the energy space. Zbl 1518.49002
Gong, Wei; Mateos, Mariano; Singler, John; Zhang, Yangwen
1
2022
Convergence in total variation of the Euler-Maruyama scheme applied to diffusion processes with measurable drift coefficient and additive noise. Zbl 1506.65019
Bencheikh, Oumaima; Jourdain, Benjamin
1
2022
Sinc-\(\theta\) schemes for backward stochastic differential equations. Zbl 1506.65024
Wang, Xu; Zhao, Weidong; Zhou, Tao
1
2022
Sharp wavenumber-explicit stability bounds for 2D Helmholtz equations. Zbl 1497.35103
Han, Bin; Michelle, Michelle
1
2022
The discovery of dynamics via linear multistep methods and deep learning: error estimation. Zbl 1506.65105
Du, Qiang; Gu, Yiqi; Yang, Haizhao; Zhou, Chao
1
2022
On the convergence to local limit of nonlocal models with approximated interaction neighborhoods. Zbl 1497.45015
Du, Qiang; Xie, Hehu; Yin, Xiaobo
1
2022
Stein variational gradient descent on infinite-dimensional space and applications to statistical inverse problems. Zbl 1502.65044
Jia, Junxiong; Li, Peijun; Meng, Deyu
1
2022
A hybrid high-order method for quasilinear elliptic problems of nonmonotone type. Zbl 1501.65119
Gudi, Thirupathi; Mallik, Gouranga; Pramanick, Tamal
1
2022
...and 1711 more Documents
all top 5

Cited by 53,814 Authors

218 Shu, Chi-Wang
215 Dehghan Takht Fooladi, Mehdi
189 He, Yinnian
155 Argyros, Ioannis Konstantinos
154 Chen, Yanping
154 Huang, Yunqing
142 Shi, Dongyang
138 Carstensen, Carsten
136 Schwab, Christoph
129 Wang, Hong
128 Zhang, Zhimin
115 Liu, Fawang
112 Gatica, Gabriel N.
112 Rui, Hongxing
109 Burman, Erik
109 Gunzburger, Max D.
106 Cockburn, Bernardo
106 Simos, Theodore E.
104 Feng, Xinlong
104 Zhang, Shangyou
101 Quarteroni, Alfio M.
100 Shen, Jie
99 Du, Qiang
98 Dumbser, Michael
97 Wheeler, Mary Fanett
96 Beirão da Veiga, Lourenço
94 Babuška, Ivo
94 Gander, Martin Jakob
94 Jackiewicz, Zdzislaw
93 Ern, Alexandre
93 Nochetto, Ricardo Horacio
91 Yang, Xiaofeng
90 Evans, David John
89 Xu, Da
89 Ye, Xiu
88 Karniadakis, George Em
88 Li, Jichun
86 Brenner, Susanne Cecelia
86 Chung, Tsz Shun Eric
86 Xu, Jinchao
85 Praetorius, Dirk
84 Huang, Chengming
84 Huang, Ting-Zhu
84 Nordström, Jan
84 Wei, Yimin
83 Hou, Yanren
83 Hughes, Thomas J. R.
82 Axelsson, Axel Owe Holger
81 Li, Hong
80 Jiang, Yaolin
80 Wohlmuth, Barbara I.
78 Demkowicz, Leszek F.
77 Chen, Zhangxin
77 Codina, Ramon
76 Guo, Ben-Yu
76 Osher, Stanley Joel
76 Sun, Shuyu
76 Wang, Cheng
75 Bai, Zhongzhi
75 Lubich, Christian
75 Rebholz, Leo G.
75 Turner, Ian William
74 Jin, Shi
73 Li, Jian
73 Sloan, Ian Hugh
73 Wu, Xinyuan
72 Guermond, Jean-Luc
72 Larson, Mats G.
72 Li, Buyang
71 Burrage, Kevin
71 Luo, Zhendong
71 Manzini, Gianmarco
71 Martínez, José Mario
70 Han, Weimin
70 Nicaise, Serge
70 Stephan, Ernst Peter
69 Sun, Zhizhong
68 Ju, Lili
68 Kurganov, Alexander
68 Serra-Capizzano, Stefano
68 Stynes, Martin Joseph
67 Amat Plata, Sergio
66 Huang, Pengzhan
66 Li, Zhilin
65 Mei, Liquan
65 Pani, Amiya Kumar
65 Petković, Miodrag S.
65 Ruiz-Baier, Ricardo
65 Zheng, Xiangcheng
64 Maday, Yvon
64 Melenk, Jens Markus
64 Seaïd, Mohammed
63 Antonietti, Paola Francesca
63 Di Pietro, Daniele Antonio
63 Dick, Josef
63 Reichel, Lothar
62 Hansbo, Peter
62 Liu, Yang
62 Qiu, Jianxian
61 Harbrecht, Helmut
...and 53,714 more Authors
all top 5

Cited in 1,108 Journals

5,211 Journal of Computational Physics
4,155 Journal of Computational and Applied Mathematics
3,119 Computer Methods in Applied Mechanics and Engineering
2,727 Applied Mathematics and Computation
2,529 Computers & Mathematics with Applications
2,382 Applied Numerical Mathematics
2,378 Journal of Scientific Computing
1,904 Numerische Mathematik
1,718 Mathematics of Computation
1,288 SIAM Journal on Scientific Computing
1,167 Numerical Algorithms
1,093 International Journal of Computer Mathematics
1,044 Linear Algebra and its Applications
966 SIAM Journal on Numerical Analysis
915 Numerical Methods for Partial Differential Equations
899 Computers and Fluids
878 BIT
791 Journal of Mathematical Analysis and Applications
611 International Journal for Numerical Methods in Engineering
600 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
591 Advances in Computational Mathematics
572 Computing
550 Journal of Optimization Theory and Applications
533 Applied Mathematics Letters
502 Mathematics and Computers in Simulation
497 Journal of Approximation Theory
472 Numerical Functional Analysis and Optimization
434 Calcolo
426 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
425 Computational and Applied Mathematics
418 Applied Mathematical Modelling
415 Engineering Analysis with Boundary Elements
401 Computational Optimization and Applications
369 Computational Mechanics
332 Communications in Computational Physics
308 International Journal for Numerical Methods in Fluids
304 Mathematical Methods in the Applied Sciences
299 Mathematical Programming. Series A. Series B
295 Communications in Nonlinear Science and Numerical Simulation
291 Applicable Analysis
285 Inverse Problems
276 Numerical Linear Algebra with Applications
271 Computational Methods in Applied Mathematics
265 Journal of Fluid Mechanics
258 Journal of Differential Equations
252 Mathematical Problems in Engineering
251 Journal of Applied Mathematics and Computing
250 Computational Geosciences
245 SIAM Journal on Matrix Analysis and Applications
245 Optimization Methods & Software
235 Advances in Applied Mathematics and Mechanics
232 Journal of Complexity
221 Physica D
220 Multiscale Modeling & Simulation
215 Optimization
209 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
206 Mathematical and Computer Modelling
202 Computer Aided Geometric Design
196 Japan Journal of Industrial and Applied Mathematics
192 Abstract and Applied Analysis
188 Discrete and Continuous Dynamical Systems. Series B
182 SIAM Journal on Optimization
180 Advances in Difference Equations
174 Applied and Computational Harmonic Analysis
173 Journal of Global Optimization
173 SIAM/ASA Journal on Uncertainty Quantification
169 Journal of Integral Equations and Applications
169 Applications of Mathematics
164 Foundations of Computational Mathematics
162 Automatica
162 Journal of Mathematical Imaging and Vision
159 RAIRO. Modélisation Mathématique et Analyse Numérique
158 Comptes Rendus. Mathématique. Académie des Sciences, Paris
157 East Asian Journal on Applied Mathematics
156 International Journal of Numerical Analysis and Modeling
155 Computer Physics Communications
151 Science China. Mathematics
145 Journal of Numerical Mathematics
144 Applied Mathematics and Optimization
142 Applied Mathematics and Mechanics. (English Edition)
135 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
133 Journal of Inequalities and Applications
132 SIAM Journal on Imaging Sciences
130 Acta Mathematicae Applicatae Sinica. English Series
127 SIAM Journal on Control and Optimization
125 SIAM Journal on Mathematical Analysis
125 Journal of Applied Mathematics
125 Inverse Problems in Science and Engineering
123 Communications in Numerical Methods in Engineering
120 Communications on Applied Mathematics and Computation
118 Archive for Rational Mechanics and Analysis
118 Mathematical Programming
118 Journal of Inverse and Ill-Posed Problems
117 BIT. Nordisk Tidskrift for Informationsbehandling
115 Journal of Mathematical Chemistry
113 ETNA. Electronic Transactions on Numerical Analysis
113 Nonlinear Analysis. Real World Applications
112 Computing and Visualization in Science
111 Chaos, Solitons and Fractals
108 Wave Motion
...and 1,008 more Journals
all top 5

Cited in 62 Fields

51,114 Numerical analysis (65-XX)
21,993 Partial differential equations (35-XX)
13,867 Fluid mechanics (76-XX)
5,560 Mechanics of deformable solids (74-XX)
5,054 Operations research, mathematical programming (90-XX)
4,686 Ordinary differential equations (34-XX)
4,001 Calculus of variations and optimal control; optimization (49-XX)
3,357 Approximations and expansions (41-XX)
2,992 Probability theory and stochastic processes (60-XX)
2,531 Linear and multilinear algebra; matrix theory (15-XX)
2,406 Integral equations (45-XX)
2,266 Operator theory (47-XX)
2,033 Computer science (68-XX)
2,025 Optics, electromagnetic theory (78-XX)
1,898 Biology and other natural sciences (92-XX)
1,714 Statistics (62-XX)
1,713 Statistical mechanics, structure of matter (82-XX)
1,614 Systems theory; control (93-XX)
1,485 Dynamical systems and ergodic theory (37-XX)
1,264 Real functions (26-XX)
1,222 Information and communication theory, circuits (94-XX)
1,159 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
989 Classical thermodynamics, heat transfer (80-XX)
910 Geophysics (86-XX)
877 Harmonic analysis on Euclidean spaces (42-XX)
607 Functional analysis (46-XX)
604 Functions of a complex variable (30-XX)
588 Special functions (33-XX)
580 Quantum theory (81-XX)
568 Mechanics of particles and systems (70-XX)
403 Global analysis, analysis on manifolds (58-XX)
340 Combinatorics (05-XX)
288 Difference and functional equations (39-XX)
275 Potential theory (31-XX)
251 Differential geometry (53-XX)
247 Integral transforms, operational calculus (44-XX)
231 Number theory (11-XX)
177 Measure and integration (28-XX)
160 Field theory and polynomials (12-XX)
153 Algebraic geometry (14-XX)
151 Convex and discrete geometry (52-XX)
137 Astronomy and astrophysics (85-XX)
133 General topology (54-XX)
89 Commutative algebra (13-XX)
87 General and overarching topics; collections (00-XX)
86 History and biography (01-XX)
83 Sequences, series, summability (40-XX)
81 Relativity and gravitational theory (83-XX)
43 Topological groups, Lie groups (22-XX)
42 Geometry (51-XX)
39 Mathematical logic and foundations (03-XX)
39 Algebraic topology (55-XX)
35 Nonassociative rings and algebras (17-XX)
32 Manifolds and cell complexes (57-XX)
29 Several complex variables and analytic spaces (32-XX)
25 Abstract harmonic analysis (43-XX)
21 Mathematics education (97-XX)
20 Associative rings and algebras (16-XX)
16 Group theory and generalizations (20-XX)
10 Order, lattices, ordered algebraic structures (06-XX)
6 General algebraic systems (08-XX)
3 Category theory; homological algebra (18-XX)

Citations by Year