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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: 5,713 Publications (since 1966)
References Indexed: 873 Publications with 30,389 References.
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Latest Issues

59, No. 4 (2021)
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...and 132 more Volumes
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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 Shu, Chi-Wang
28 Nochetto, Ricardo Horacio
25 Sloan, Ian Hugh
24 Gunzburger, Max D.
23 Schwab, Christoph
23 Shen, Jie
23 Süli, Endre E.
22 Ewing, Richard Edward
22 Sun, Weiwei
21 Ainsworth, Mark
20 Rheinboldt, Werner C.
20 Widlund, Olof B.
19 Bartels, Sören
19 Guermond, Jean-Luc
19 Li, Buyang
19 Starke, Gerhard
19 Tadmor, Eitan
18 Osher, Stanley Joel
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 Quarteroni, Alfio M.
16 Walkington, Noel J.
15 Arbogast, Todd
15 Bernardi, Christine
15 Burman, Erik
15 Lazarov, Raytcho D.
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 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 Ern, Alexandre
13 Graham, Ivan G.
13 Johnson, Claes G. L.
13 Lin, Yanping
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 Luskin, Mitchell
12 Ma, Heping
12 Makridakis, Charalambos G.
12 Petzold, Linda Ruth
12 Sauter, Stefan A.
12 Stuart, Andrew M.
12 Yotov, Ivan
11 Bramble, James H.
11 Dick, Josef
11 Gatica, Gabriel N.
11 Gopalakrishnan, Jayadeep
11 Guo, Benqi
11 Hiptmair, Ralf
11 Jin, Shi
11 Joly, Patrick
11 Keller, Herbert Bishop
11 Kellogg, Bruce
11 LeVeque, Randall J.
11 Novo, Julia
11 Ostermann, Alexander
11 Pareschi, Lorenzo
11 Skeel, Robert D.
...and 4,923 more Authors
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Fields

5,131 Numerical analysis (65-XX)
2,226 Partial differential equations (35-XX)
727 Fluid mechanics (76-XX)
445 Approximations and expansions (41-XX)
442 Ordinary differential equations (34-XX)
249 Mechanics of deformable solids (74-XX)
245 Integral equations (45-XX)
237 Calculus of variations and optimal control; optimization (49-XX)
196 Probability theory and stochastic processes (60-XX)
172 Operations research, mathematical programming (90-XX)
155 Optics, electromagnetic theory (78-XX)
154 Operator theory (47-XX)
139 Statistical mechanics, structure of matter (82-XX)
130 Linear and multilinear algebra; matrix theory (15-XX)
100 Dynamical systems and ergodic theory (37-XX)
77 Computer science (68-XX)
71 Harmonic analysis on Euclidean spaces (42-XX)
58 Functional analysis (46-XX)
53 Functions of a complex variable (30-XX)
53 Biology and other natural sciences (92-XX)
52 Systems theory; control (93-XX)
46 Special functions (33-XX)
43 Real functions (26-XX)
43 Statistics (62-XX)
40 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 Classical thermodynamics, heat transfer (80-XX)
34 Potential theory (31-XX)
33 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
32 Mechanics of particles and systems (70-XX)
27 Integral transforms, operational calculus (44-XX)
23 Number theory (11-XX)
20 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

5,313 Publications have been cited 116,674 times in 58,199 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
775
1998
On the construction and comparison of difference schemes. Zbl 0184.38503
Strang, Gilbert
721
1968
Splitting algorithms for the sum of two nonlinear operators. Zbl 0426.65050
Lions, Pierre-Louis; Mercier, B.
565
1979
An interior penalty finite element method with discontinuous elements. Zbl 0482.65060
Arnold, Douglas N.
559
1982
High resolution schemes using flux limiters for hyperbolic conservation laws. Zbl 0565.65048
Sweby, P. K.
533
1984
The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. Zbl 0811.65083
LeVeque, Randall J.; Li, Zhilin
516
1994
Inexact Newton methods. Zbl 0478.65030
Dembo, Ron S.; Eisenstat, Stanley C.; Steihaug, Trond
476
1982
A nonmonotone line search technique for Newton’s method. Zbl 0616.65067
Grippo, L.; Lampariello, F.; Lucidi, S.
447
1986
A convergent adaptive algorithm for Poisson’s equation. Zbl 0854.65090
Dörfler, Willy
432
1996
Error estimates for adaptive finite element computations. Zbl 0398.65069
Babuška, Ivo; Rheinboldt, W. C.
426
1978
Solution of sparse indefinite systems of linear equations. Zbl 0319.65025
Paige, C. C.; Saunders, M. A.
402
1975
Unified hybridization of discontinuous Galerkin, mixed, and continuous Galerkin methods for second order elliptic problems. Zbl 1205.65312
Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Lazarov, Raytcho
398
2009
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.
382
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
352
1982
Implicit-explicit methods for time-dependent partial differential equations. Zbl 0841.65081
Ascher, Uri M.; Ruuth, Steven J.; Wetton, Brian T. R.
342
1995
A stochastic collocation method for elliptic partial differential equations with random input data. Zbl 1151.65008
Babuška, Ivo; Nobile, Fabio; Tempone, Raúl
329
2007
Galerkin finite element approximations of stochastic elliptic partial differential equations. Zbl 1080.65003
Babuska, Ivo; Tempone, Raúl; Zouraris, Georgios E.
311
2004
An elliptic collocation-finite element method with interior penalties. Zbl 0384.65058
Wheeler, Mary Fanett
297
1978
Two-grid discretization techniques for linear and nonlinear PDEs. Zbl 0860.65119
Xu, Jinchao
296
1996
A space-time spectral method for the time fractional diffusion equation. Zbl 1193.35243
Li, Xianjuan; Xu, Chuanju
295
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
289
1990
A sparse grid stochastic collocation method for partial differential equations with random input data. Zbl 1176.65137
Nobile, F.; Tempone, R.; Webster, C. G.
283
2008
Stability theory for systems of inequalities. II: Differentiable nonlinear systems. Zbl 0347.90050
Robinson, Stephen M.
271
1976
Uniformly high-order accurate nonoscillatory schemes. I. Zbl 0627.65102
Harten, Ami; Osher, Stanley
260
1987
The rotation of eigenvectors by a perturbation. III. Zbl 0198.47201
Davis, Chandler; Kahan, W. M.
259
1970
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.
257
2005
Strong convergence of Euler-type methods for nonlinear stochastic differential equations. Zbl 1026.65003
Higham, Desmond J.; Mao, Xuerong; Stuart, Andrew M.
255
2002
Variational iterative methods for nonsymmetric systems of linear equations. Zbl 0524.65019
Eisenstat, Stanley C.; Elman, Howard C.; Schultz, Martin H.
239
1983
A well-balanced scheme for the numerical processing of source terms in hyperbolic equations. Zbl 0876.65064
Greenberg, James M.; Le Roux, Alain-Yves
232
1996
High-resolution conservative algorithms for advection in incompressible flow. Zbl 0852.76057
LeVeque, Randall J.
232
1996
High-order essentially nonoscillatory schemes for Hamilton-Jacobi equations. Zbl 0736.65066
Osher, Stanley; Shu, Chi-Wang
230
1991
On Krylov subspace approximations to the matrix exponential operator. Zbl 0888.65032
Hochbruck, Marlis; Lubich, Christian
225
1997
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.
218
2009
On the \(O(1/n)\) convergence rate of the Douglas-Rachford alternating direction method. Zbl 1245.90084
He, Bingsheng; Yuan, Xiaoming
216
2012
Error estimate procedure in the finite element method and applications. Zbl 0582.65078
Ladeveze, P.; Leguillon, D.
215
1983
Coupling fluid flow with porous media flow. Zbl 1037.76014
Layton, William J.; Schieweck, Friedhelm; Yotov, Ivan
215
2003
An algorithm for generalized matrix eigenvalue problems. Zbl 0253.65019
Moler, C. B.; Stewart, G. W.
214
1973
Inexact and preconditioned Uzawa algorithms for saddle point problems. Zbl 0815.65041
Elman, Howard C.; Golub, Gene H.
213
1994
Finite element method for the space and time fractional Fokker-Planck equation. Zbl 1416.65344
Deng, Weihua
211
2009
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
204
2000
A new class of optimal high-order strong-stability-preserving time discretization methods. Zbl 1020.65064
Spiteri, Raymond J.; Ruuth, Steven J.
203
2002
Discontinuous \(hp\)-finite element methods for advection-diffusion-reaction problems. Zbl 1015.65067
Houston, Paul; Schwab, Christoph; Süli, Endre
200
2002
Quasi-optimal convergence rate for an adaptive finite element method. Zbl 1176.65122
Cascon, J. Manuel; Kreuzer, Christian; Nochetto, Ricardo H.; Siebert, Kunibert G.
199
2008
Some error estimates for the box method. Zbl 0634.65105
Bank, Randolph E.; Rose, Donald J.
198
1987
Monotone piecewise cubic interpolation. Zbl 0423.65011
Fritsch, F. N.; Carlson, R. E.
198
1980
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.
198
2008
Diagonally implicit Runge-Kutta methods for stiff O.D.E.’s. Zbl 0374.65038
Alexander, Roger
196
1977
Poincaré–Friedrichs inequalities for piecewise \(H^{1}\) functions. Zbl 1045.65100
Brenner, Susanne C.
194
2003
Image selective smoothing and edge detection by nonlinear diffusion. Zbl 0746.65091
Catté, Francine; Lions, Pierre-Louis; Morel, Jean-Michel; Coll, Tomeu
194
1992
Adaptive finite element methods for parabolic problems. I: A linear model problem. Zbl 0732.65093
Eriksson, Kenneth; Johnson, Claes
193
1991
On direct methods for solving Poisson’s equations. Zbl 0217.52902
Buzbee, B. L.; Golub, G. H.; Nielson, C. W.
192
1970
Nested dissection of a regular finite element mesh. Zbl 0259.65087
George, Alan
191
1973
Collocation at Gaussian points. Zbl 0232.65065
de Boor, Carl; Swartz, Blair
190
1973
Analysis of the inexact Uzawa algorithm for saddle point problems. Zbl 0873.65031
Bramble, James H.; Pasciak, Joseph E.; Vassilev, Apostol T.
188
1997
A priori \(L_2\) error estimates for Galerkin approximations to parabolic partial differential equations. Zbl 0232.35060
Wheeler, Mary Fanett
187
1972
Iterative solution of implicit approximations of multidimensional partial differential equations. Zbl 0197.13304
Stone, H. L.
186
1968
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
184
2017
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.
183
1994
Galerkin proper orthogonal decomposition methods for a general equation in fluid dynamics. Zbl 1075.65118
Kunisch, K.; Volkwein, S.
181
2002
Stabilization of low-order mixed finite elements for the Stokes equations. Zbl 1145.76015
Bochev, Pavel B.; Dohrmann, Clark R.; Gunzburger, Max D.
179
2006
Comparing numerical methods for ordinary differential equations. Zbl 0221.65115
Hull, T. E.; Enright, W. H.; Fellen, B. M.; Sedgwick, A. E.
173
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.
172
1987
On Godunov-type methods for gas dynamics. Zbl 0642.76088
Einfeldt, Bernd
171
1988
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.
171
2008
A family of fourth-order methods for nonlinear equations. Zbl 0266.65040
King, Richard F.
171
1973
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
170
2001
Data oscillation and convergence of adaptive FEM. Zbl 0970.65113
Morin, Pedro; Nochetto, Ricardo H.; Siebert, Kunibert G.
170
2000
On the angle condition in the finite element method. Zbl 0324.65046
Babuška, Ivo; Aziz, A. K.
168
1976
The conjugate gradient method and trust regions in large scale optimization. Zbl 0518.65042
Steihaug, Trond
167
1983
A mortar finite element method using dual spaces for the Lagrange multiplier. Zbl 0974.65105
Wohlmuth, Barbara I.
167
2000
The numerical solution of Fredholm integral equations of the second kind. Zbl 0155.47404
Atkinson, K. E.
167
1967
Stability analysis of numerical schemes for stochastic differential equations. Zbl 0869.60052
Saito, Yoshihiro; Mitsui, Taketomo
164
1996
Fundamental solutions method for elliptic boundary value problems. Zbl 0579.65121
Bogomolny, Alexander
163
1985
Mean-square and asymptotic stability of the stochastic theta method. Zbl 0982.60051
Higham, Desmond J.
162
2000
Virtual elements for linear elasticity problems. Zbl 1268.74010
Beirao da Veiga, L.; Brezzi, F.; Marini, L. D.
162
2013
The differentiation of pseudo-inverses and nonlinear least squares problems whose variables separate. Zbl 0258.65045
Golub, G. H.; Pereyra, V.
161
1973
The approximate solution of elliptic boundary-value problems by fundamental solutions. Zbl 0368.65058
Mathon, Rudolf; Johnston, R. L.
160
1977
A posteriori error estimates for a discontinuous Galerkin approximation of second-order elliptic problems. Zbl 1058.65120
Karakashian, Ohannes A.; Pascal, Frederic
159
2003
Analysis of some Krylov subspace approximations to the matrix exponential operator. Zbl 0749.65030
Saad, Y.
158
1992
Convergence of the mimetic finite difference method for diffusion problems on polyhedral meshes. Zbl 1108.65102
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail
157
2005
An analysis of the total least squares problem. Zbl 0468.65011
Golub, Gene H.; Van Loan, Charles F.
155
1980
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.
153
2009
Application of an ultra weak variational formulation of elliptic PDEs to the two-dimensional Helmholtz problem. Zbl 0955.65081
Cessenat, Olivier; Despres, Bruno
152
1998
On the accuracy of the finite volume element method based on piecewise linear polynomials. Zbl 1036.65084
Ewing, Richard E.; Lin, Tao; Lin, Yanping
151
2002
A generalization of a theorem of Böcher. Zbl 0173.02703
Marden, M.
150
1966
A local discontinuous Galerkin method for KdV type equations. Zbl 1021.65050
Yan, Jue; Shu, Chi-Wang
149
2002
Image selective smoothing and edge detection by nonlinear diffusion. II. Zbl 0766.65117
Alvarez, Luis; Lions, Pierre-Louis; Morel, Jean-Michel
148
1992
Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences. Zbl 0880.65084
Arbogast, Todd; Wheeler, Mary F.; Yotov, Ivan
148
1997
Nonlinear Galerkin methods. Zbl 0683.65083
Marion, Martine; Temam, Roger
147
1989
Estimation of linear functionals on Sobolev spaces with application to Fourier transforms and spline interpolation. Zbl 0201.07803
Bramble, J. H.; Hilbert, S. R.
147
1970
The p-version of the finite element method. Zbl 0487.65059
Babuška, Ivo; Szabo, B. A.; Katz, I. N.
147
1981
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.
147
2014
Generalizing the singular value decomposition. Zbl 0338.65022
Van Loan, Charles F.
142
1976
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.
141
1991
Generalized finite element methods: Their performance and their relation to mixed methods. Zbl 0528.65046
Babuška, Ivo; Osborn, J. E.
141
1983
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
141
1997
Fast iterative solution of stabilised Stokes systems. II: Using general block preconditioners. Zbl 0810.76044
Silvester, David; Wathen, Andrew
141
1994
Two-level method based on finite element and Crank-Nicolson extrapolation for the time-dependent Navier-Stokes equations. Zbl 1130.76365
He, Yinnian
140
2003
Explicit exponential Runge-Kutta methods for semilinear parabolic problems. Zbl 1093.65052
Hochbruck, Marlis; Ostermann, Alexander
138
2005
Discovery of dynamics using linear multistep methods. Zbl 1466.65050
Keller, Rachael T.; Du, Qiang
2
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
2
2021
An efficient and convergent finite element scheme for Cahn-Hilliard equations with dynamic boundary conditions. Zbl 1458.35345
Metzger, Stefan
2
2021
Spectral convergence of diffusion maps: improved error bounds and an alternative normalization. Zbl 07372625
Wormell, Caroline L.; Reich, Sebastian
2
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
1
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
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
A priori error analysis of a numerical stochastic homogenization method. Zbl 07326332
Fischer, Julian; Gallistl, Dietmar; Peterseim, Daniel
1
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
1
2021
Carleman-based reconstruction algorithm for waves. Zbl 1461.93213
Baudouin, Lucie; de Buhan, Maya; Ervedoza, Sylvain; Osses, Axel
1
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
1
2021
Hypocoercivity-compatible finite element methods for the long-time computation of Kolmogorov’s equation. Zbl 1456.65112
Georgoulis, Emmanuil H.
1
2021
Strong convergence of a Verlet integrator for the semilinear stochastic wave equation. Zbl 07372635
Banjai, Lehel; Lord, Gabriel; Molla, Jeta
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
Optimal regularity and error estimates of a spectral Galerkin method for fractional advection-diffusion-reaction equations. Zbl 07154063
Hao, Zhaopeng; Zhang, Zhongqiang
12
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
9
2020
Multidimensional sum-up rounding for elliptic control systems. Zbl 1455.49017
Manns, Paul; Kirches, Christian
6
2020
An artificial compression reduced order model. Zbl 1434.76064
DeCaria, Victor; Iliescu, Traian; Layton, William; McLaughlin, Michael; Schneier, Michael
6
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
6
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.
5
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
5
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
4
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
4
2020
Unconditionally bound preserving and energy dissipative schemes for a class of Keller-Segel equations. Zbl 1440.65101
Shen, Jie; Xu, Jie
4
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
Optimal convergence rates for Tikhonov regularization in Besov spaces. Zbl 07154055
Weidling, Frederic; Sprung, Benjamin; Hohage, Thorsten
4
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
4
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
4
2020
Lagrangian discretization of crowd motion and linear diffusion. Zbl 1456.65137
Leclerc, Hugo; Mérigot, Quentin; Santambrogio, Filippo; Stra, Federico
3
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
3
2020
A multilevel algebraic error estimator and the corresponding iterative solver with \(p\)-robust behavior. Zbl 1451.65222
Miraçi, Ani; Papež, Jan; Vohralík, Martin
3
2020
A truly two-dimensional, asymptotic-preserving scheme for a discrete model of radiative transfer. Zbl 1434.80015
Gosse, Laurent; Vauchelet, Nicolas
3
2020
Error analysis for a fractional-derivative parabolic problem on quasi-graded meshes using barrier functions. Zbl 07190350
Kopteva, Natalia; Meng, Xiangyun
3
2020
An \(L1\) approximation for a fractional reaction-diffusion equation, a second-order error analysis over time-graded meshes. Zbl 1434.65129
Mustapha, Kassem
3
2020
Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem: global convergence and computational efficiency. Zbl 07210680
Henning, Patrick; Peterseim, Daniel
3
2020
Sharp uniform convergence rate of the supercell approximation of a crystalline defect. Zbl 07154066
Braun, Julian; Ortner, Christoph
3
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
3
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
3
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
3
2020
Uncertainty quantification using periodic random variables. Zbl 07184150
Kaarnioja, V.; Kuo, F. Y.; Sloan, I. H.
3
2020
Domain decomposition with local impedance conditions for the Helmholtz equation with absorption. Zbl 1465.65162
Graham, Ivan G.; Spence, Euan A.; Zou, Jun
3
2020
Stable high order quadrature rules for scattered data and general weight functions. Zbl 07236289
Glaubitz, Jan
2
2020
Sparse compression of expected solution operators. Zbl 07275252
Feischl, Michael; Peterseim, Daniel
2
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.
2
2020
FEAST for differential eigenvalue problems. Zbl 1439.65088
Horning, Andrew; Townsend, Alex
2
2020
A unified error analysis of hybridizable discontinuous Galerkin methods for the static Maxwell equations. Zbl 1434.65227
Du, Shukai; Sayas, Francisco-Javier
2
2020
FETI-DP for the three dimensional virtual element method. Zbl 1440.65183
Bertoluzza, Silvia; Pennacchio, Micol; Prada, Daniele
2
2020
Numerical analysis of a projection-based stabilized POD-ROM for incompressible flows. Zbl 1450.65129
Rubino, Samuele
2
2020
Discontinuous Galerkin methods for nonlinear scalar conservation laws: generalized local Lax-Friedrichs numerical fluxes. Zbl 1436.65142
Li, Jia; Zhang, Dazhi; Meng, Xiong; Wu, Boying; Zhang, Qiang
2
2020
Computation of the LBB constant for the Stokes equation with a least-squares finite element method. Zbl 1437.76024
Storn, Johannes
2
2020
High-order mass-lumped schemes for nonlinear degenerate elliptic equations. Zbl 1447.65116
Droniou, Jerome; Eymard, Robert
2
2020
A sequential least squares method for Poisson equation using a patch reconstructed space. Zbl 1432.65170
Li, Ruo; Yang, Fanyi
2
2020
Second order pressure estimates for the Crank-Nicolson discretization of the incompressible Navier-Stokes equations. Zbl 1448.76066
Sonner, Florian; Richter, Thomas
2
2020
Extrinsic meshless collocation methods for PDEs on manifolds. Zbl 1435.65216
Chen, Meng; Ling, Leevan
2
2020
A primal-dual weak Galerkin finite element method for Fokker-Planck type equations. Zbl 1466.65206
Wang, Chunmei; Wang, Junping
2
2020
A convergent entropy diminishing finite volume scheme for a cross-diffusion system. Zbl 1450.65094
Cancès, Clément; Gaudeul, Benoît
2
2020
A minimal stabilization procedure for isogeometric methods on trimmed geometries. Zbl 1453.65403
Buffa, A.; Puppi, R.; Vázquez, R.
2
2020
A divergence-conforming finite element method for the surface Stokes equation. Zbl 1451.65184
Bonito, Andrea; Demlow, Alan; Licht, Martin
2
2020
Contractivity of Runge-Kutta methods for convex gradient systems. Zbl 1451.65092
Sanz Serna, J. M.; Zygalakis, K. C.
1
2020
New stability estimates for an unfitted finite element method for two-phase Stokes problem. Zbl 1467.65106
Cáceres, Ernesto; Guzmán, Johnny; Olshanskii, Maxim
1
2020
Generalized spectrum of second order differential operators. Zbl 1452.65066
Gergelits, Tomáš; Nielsen, Bjørn Fredrik; Strakoš, Zdeněk
1
2020
The Hellan-Herrmann-Johnson method with curved elements. Zbl 1451.65182
Arnold, Douglas N.; Walker, Shawn W.
1
2020
Error estimate of the fourth-order Runge-Kutta discontinuous Galerkin methods for linear hyperbolic equations. Zbl 1452.65256
Xu, Yuan; Shu, Chi-Wang; Zhang, Qiang
1
2020
A pressure-robust embedded discontinuous Galerkin method for the Stokes problem by reconstruction operators. Zbl 1451.65199
Lederer, Philip L.; Rhebergen, Sander
1
2020
Unified analysis of periodization-based sampling methods for Matérn covariances. Zbl 07267942
Bachmayr, Markus; Graham, Ivan G.; Nguyen, Van Kien; Scheichl, Robert
1
2020
Convergence analysis of collocation methods for computing periodic solutions of retarded functional differential equations. Zbl 07267944
Andò, Alessia; Breda, Dimitri
1
2020
Approximate deconvolution with correction: a member of a new class of models for high Reynolds number flows. Zbl 07267946
Labovsky, Alexander E.
1
2020
High-order time stepping schemes for semilinear subdiffusion equations. Zbl 1452.65252
Wang, Kai; Zhou, Zhi
1
2020
New proper orthogonal decomposition approximation theory for PDE solution data. Zbl 1453.65114
Locke, Sarah; Singler, John
1
2020
Numerical simulation of inextensible elastic ribbons. Zbl 1453.74003
Bartels, Sören
1
2020
Energy stability of explicit Runge-Kutta methods for nonautonomous or nonlinear problems. Zbl 1457.65032
Ranocha, Hendrik; Ketcheson, David I.
1
2020
Convergence in \(\ell_2\) and \(\ell_\infty\) norm of one-stage AMF-W-methods for parabolic problems. Zbl 1436.65129
González-Pinto, S.; Hairer, E.; Hernandez-Abreu, Domingo
1
2020
Mean dimension of ridge functions. Zbl 07190349
Hoyt, Christopher R.; Owen, Art B.
1
2020
A uniformly robust \(H(\operatorname{div})\) weak Galerkin finite element method for Brinkman problems. (A uniformly robust \(H(\operatorname{div})\) weak Galerkin finite element methods for Brinkman problems.) Zbl 1434.65271
Mu, Lin
1
2020
Global and local pointwise error estimates for finite element approximations to the Stokes problem on convex polyhedra. Zbl 1440.65180
Behringer, Niklas; Leykekhman, Dmitriy; Vexler, Boris
1
2020
Error estimates of semidiscrete and fully discrete finite element methods for the Cahn-Hilliard-cook equation. Zbl 07210675
Qi, Ruisheng; Wang, Xiaojie
1
2020
A dual finite element method for a singularly perturbed reaction-diffusion problem. Zbl 1440.65188
Cai, Zhiqiang; Ku, JaEun
1
2020
Brezzi-Douglas-Marini interpolation of any order on anisotropic triangles and tetrahedra. Zbl 07210678
Apel, Thomas; Kempf, Volker
1
2020
Computation of sum of squares polynomials from data points. Zbl 1456.90121
Després, Bruno; Herda, Maxime
1
2020
Adaptive edge element approximation for \(H(\mathrm{curl})\) elliptic variational inequalities of second kind. Zbl 1447.78016
Winckler, Malte; Yousept, Irwin; Zou, Jun
1
2020
A sparse spectral method for Volterra integral equations using orthogonal polynomials on the triangle. Zbl 1447.65171
Gutleb, Timon S.; Olver, Sheehan
1
2020
A skeletal finite element method can compute lower eigenvalue bounds. Zbl 07154059
Carstensen, Carsten; Zhai, Qilong; Zhang, Ran
1
2020
Two-level Galerkin mixed finite element method for Darcy-Forchheimer model in porous media. Zbl 1443.76151
Fairag, Faisal A.; Audu, Johnson D.
1
2020
On parareal algorithms for semilinear parabolic stochastic PDEs. Zbl 1428.60096
Brehier, Charles-Edouard; Wang, Xu
1
2020
Optimal-order finite difference approximation of generalized solutions to the biharmonic equation in a cube. Zbl 07154067
Müller, Stefan; Schweiger, Florian; Süli, Endre
1
2020
A robust a posteriori error estimator for divergence-conforming discontinuous Galerkin methods for the Oseen equation. Zbl 1434.76070
Khan, Arbaz; Kanschat, Guido
1
2020
Positive and asymptotic preserving approximation of the radiation transport equation. Zbl 1447.65142
Guermond, Jean-Luc; Popov, Bojan; Ragusa, Jean
1
2020
Discrete transparent boundary conditions for the linearized Green-Naghdi system of equations. Zbl 1434.65121
Kazakova, Maria; Noble, Pascal
1
2020
Multilevel quadrature for elliptic parametric partial differential equations in case of polygonal approximations of curved domains. Zbl 1434.65256
Griebel, Michael; Harbrecht, Helmut; Multerer, Michael D.
1
2020
Optimal mesh size for inverse medium scattering problems. Zbl 1431.65249
Ammari, Habib; Chow, Yat Tin; Liu, Keji
1
2020
Numerical analysis of unsteady implicitly constituted incompressible fluids: 3-field formulation. Zbl 1434.76065
Farrell, Patrick E.; Gazca-Orozco, P. A.; Süli, Endre
1
2020
Convergence of Dziuk’s linearly implicit parametric finite element method for curve shortening flow. Zbl 1452.65240
Li, Buyang
1
2020
A unified probabilistic discretization scheme for FBSDEs: stability, consistency, and convergence analysis. Zbl 1454.60106
Yang, Jie; Zhao, Weidong; Zhou, Tao
1
2020
A priori error analysis of local incremental minimization schemes for rate-independent evolutions. Zbl 1462.65056
Meyer, Christian; Sievers, Michael
1
2020
On leapfrog-Chebyshev schemes. Zbl 1454.65046
Carle, Constantin; Hochbruck, Marlis; Sturm, Andreas
1
2020
Error analysis of the SAV-MAC scheme for the Navier-Stokes equations. Zbl 1452.65167
Li, Xiaoli; Shen, Jie
1
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
1
2020
Large time behavior of nonlinear finite volume schemes for convection-diffusion equations. Zbl 1451.65117
Cancès, Clément; Chainais-Hillairet, Claire; Herda, Maxime; Krell, Stella
1
2020
A discrete Grönwall inequality with applications to numerical schemes for subdiffusion problems. Zbl 1414.65008
Liao, Hong-lin; McLean, William; Zhang, Jiwei
47
2019
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153 He, Yinnian
149 Argyros, Ioannis Konstantinos
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121 Schwab, Christoph
112 Shi, Dongyang
104 Huang, Yunqing
103 Chen, Yanping
102 Zhang, Zhimin
96 Cockburn, Bernardo
95 Liu, Fawang
95 Wang, Hong
93 Gatica, Gabriel N.
93 Gunzburger, Max D.
92 Wheeler, Mary Fanett
90 Evans, David John
88 Babuška, Ivo
87 Quarteroni, Alfio M.
86 Jackiewicz, Zdzislaw
85 Shen, Jie
84 Simos, Theodore E.
83 Du, Qiang
83 Rui, Hongxing
83 Wei, Yimin
81 Huang, Ting-Zhu
80 Axelsson, Axel Owe Holger
79 Burman, Erik
78 Beirão da Veiga, Lourenço
77 Nochetto, Ricardo Horacio
76 Brenner, Susanne Cecelia
76 Karniadakis, George Em
76 Wohlmuth, Barbara I.
75 Demkowicz, Leszek F.
75 Feng, Xinlong
74 Bai, Zhongzhi
74 Guo, Ben-Yu
74 Hughes, Thomas J. R.
73 Dumbser, Michael
73 Gander, Martin Jakob
72 Li, Jichun
71 Chung, Tsz Shun Eric
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69 Codina, Ramon
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68 Zhang, Shangyou
67 Burrage, Kevin
67 Chen, Zhangxin
67 Martínez, José Mario
67 Praetorius, Dirk
67 Turner, Ian William
65 Stephan, Ernst Peter
64 Lubich, Christian
64 Nicaise, Serge
64 Wu, Xinyuan
63 Petković, Miodrag S.
63 Rebholz, Leo G.
63 Ye, Xiu
62 Wang, Cheng
61 Guermond, Jean-Luc
61 Luo, Zhendong
61 Sun, Zhizhong
60 Larson, Mats G.
60 Nordström, Jan
60 Sun, Shuyu
59 Jin, Shi
59 Osher, Stanley Joel
58 Han, Weimin
58 Serra-Capizzano, Stefano
58 Yang, Xiaofeng
57 Dick, Josef
57 Li, Hong
57 Weiner, Rüdiger
57 Xu, Da
57 Zhu, Detong
56 Reichel, Lothar
55 Amat, Sergio P.
55 Li, Zhilin
54 Li, Jian
54 Li, Zi-Cai
54 Maday, Yvon
53 Boyd, John Philip
53 Brunner, Hermann
53 Hansbo, Peter
53 Harbrecht, Helmut
53 Heuer, Norbert
53 Jiang, Yaolin
53 Layton, William J.
53 Lin, Yanping
53 Vohralík, Martin
52 Sayas, Francisco-Javier
52 Stynes, Martin
51 Ainsworth, Mark
51 Di Pietro, Daniele Antonio
51 Mei, Liquan
51 Pani, Amiya Kumar
51 Yuan, Yirang
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