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IMA Journal of Numerical Analysis

Short Title: IMA J. Numer. Anal.
Publisher: Oxford University Press, Oxford
ISSN: 0272-4979; 1464-3642/e
Online: https://academic.oup.com/imajna/issue
Predecessor: Journal of the Institute of Mathematics and its Applications
Comments: Indexed cover-to-cover
Documents Indexed: 1,961 Publications (since 1981)
all top 5

Latest Issues

42, No. 3 (2022)
42, No. 2 (2022)
42, No. 1 (2022)
41, No. 4 (2021)
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18, No. 4 (1998)
18, No. 3 (1998)
18, No. 2 (1998)
18, No. 1 (1998)
17, No. 4 (1997)
...and 44 more Volumes
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Authors

26 Barrett, John William
25 Elliott, Charles M.
24 Iserles, Arieh
16 Süli, Endre E.
14 Sanz-Serna, Jesús María
12 Bernardi, Christine
12 Brunner, Hermann
12 Eymard, Robert
12 Lubich, Christian
12 Pani, Amiya Kumar
12 Powell, Michael James David
12 Sloan, Ian Hugh
12 Stynes, Martin
10 Gatica, Gabriel N.
10 Graham, Ivan G.
9 Atkinson, Kendall Eugene
9 Carstensen, Carsten
9 Cockburn, Bernardo
9 Droniou, Jérôme
9 Ern, Alexandre
9 Herbin, Raphaèle
9 Heuer, Norbert
9 Higham, Nicholas J.
9 Nicaise, Serge
9 Watson, G. Alistair
9 Yuan, Ya-xiang
8 Burman, Erik
8 Georgoulis, Emmanuil H.
8 Higham, Desmond J.
8 Li, Buyang
8 Meddahi, Salim
8 Nørsett, Syvert Paul
8 Nürnberg, Robert
8 Ostermann, Alexander
8 Rodríguez, Rodolfo
8 Sayas, Francisco-Javier
8 Schötzau, Dominik
8 Schwab, Christoph
8 van der Houwen, Pieter J.
7 Akrivis, Georgios D.
7 Banjai, Lehel
7 Fairweather, Graeme
7 Garcke, Harald
7 Hill, Adrian T.
7 Houston, Paul
7 Jin, Bangti
7 Karlsen, Kenneth Hvistendahl
7 Kovács, Balázs
7 Nataraj, Neela
7 Osborne, Michael Robert
7 Praetorius, Dirk
7 Stevenson, Rob P.
6 Ainsworth, Mark
6 Araya, Rodolfo A.
6 Barrenechea, Gabriel R.
6 Bartels, Sören
6 Buhmann, Martin Dietrich
6 Chainais-Hillairet, Claire
6 Chandler-Wilde, Simon N.
6 Forsyth, Peter A.
6 García-Archilla, Bosco
6 Grohs, Philipp
6 Guzmán, Johnny
6 Hackbusch, Wolfgang
6 Huybrechs, Daan
6 Maday, Yvon
6 McKee, Sean
6 Meerbergen, Karl
6 Melenk, Jens Markus
6 Moore, Gerald
6 Morton, Keith William
6 Phillips, Timothy N.
6 Prohl, Andreas
6 Qiu, Weifeng
6 Sauter, Stefan A.
6 Schöberl, Joachim
6 Sommeijer, Ben P.
6 Tobiska, Lutz
6 Tretyakov, Michael V.
6 Wathen, Andrew John
5 Andreani, Roberto
5 Apel, Thomas
5 Bai, Zhongzhi
5 Baker, Christopher Thomas Hale
5 Blowey, James F.
5 Burrage, Kevin
5 Cooper, Gavin J.
5 Cox, Maurice G.
5 Curtis, Frank E.
5 Dai, Yu-Hong
5 de Frutos, Javier
5 Deckelnick, Klaus
5 Diening, Lars
5 Dormand, John R.
5 Feng, Xiaobing
5 Gallouët, Thierry
5 Girault, Vivette
5 Griffiths, David F.
5 Guglielmi, Nicola
5 Hairer, Ernst
...and 2,306 more Authors
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Fields

1,808 Numerical analysis (65-XX)
604 Partial differential equations (35-XX)
200 Fluid mechanics (76-XX)
187 Ordinary differential equations (34-XX)
139 Approximations and expansions (41-XX)
106 Integral equations (45-XX)
88 Operations research, mathematical programming (90-XX)
77 Mechanics of deformable solids (74-XX)
56 Calculus of variations and optimal control; optimization (49-XX)
54 Probability theory and stochastic processes (60-XX)
52 Linear and multilinear algebra; matrix theory (15-XX)
44 Optics, electromagnetic theory (78-XX)
42 Dynamical systems and ergodic theory (37-XX)
42 Operator theory (47-XX)
31 Classical thermodynamics, heat transfer (80-XX)
27 Statistical mechanics, structure of matter (82-XX)
25 Functions of a complex variable (30-XX)
23 Harmonic analysis on Euclidean spaces (42-XX)
19 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
18 Special functions (33-XX)
16 Quantum theory (81-XX)
16 Biology and other natural sciences (92-XX)
14 Potential theory (31-XX)
14 Statistics (62-XX)
13 Real functions (26-XX)
13 Global analysis, analysis on manifolds (58-XX)
9 Integral transforms, operational calculus (44-XX)
9 Differential geometry (53-XX)
8 Computer science (68-XX)
8 Systems theory; control (93-XX)
7 Mechanics of particles and systems (70-XX)
7 Information and communication theory, circuits (94-XX)
6 Topological groups, Lie groups (22-XX)
6 Geophysics (86-XX)
5 Functional analysis (46-XX)
4 History and biography (01-XX)
4 Combinatorics (05-XX)
4 Number theory (11-XX)
4 Sequences, series, summability (40-XX)
4 Astronomy and astrophysics (85-XX)
3 Difference and functional equations (39-XX)
2 Group theory and generalizations (20-XX)
2 Abstract harmonic analysis (43-XX)
2 Relativity and gravitational theory (83-XX)
1 Field theory and polynomials (12-XX)
1 Algebraic geometry (14-XX)

Publications by Year

Citations contained in zbMATH Open

1,696 Publications have been cited 23,550 times in 17,344 Documents Cited by Year
Two-point step size gradient methods. Zbl 0638.65055
Barzilai, Jonathan; Borwein, Jonathan M.
625
1988
Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems. Zbl 1134.65022
Bai, Zhongzhi; Golub, Gene H.
274
2007
A descent modified Polak-Ribière-Polyak conjugate gradient method and its global convergence. Zbl 1106.65056
Zhang, Li; Zhou, Weijun; Li, Donghui
195
2006
Local error estimates for radial basis function interpolation of scattered data. Zbl 0762.41006
Wu, Zong-Min; Schaback, Robert
177
1993
Families of Runge-Kutta-Nyström formulae. Zbl 0624.65059
Dormand, J. R.; El-Mikkawy, M. E. A.; Prince, P. J.
174
1987
Descent property and global convergence of the Fletcher-Reeves method with inexact line search. Zbl 0578.65063
Al-Baali, M.
168
1985
On the Barzilai and Borwein choice of steplength for the gradient method. Zbl 0778.65045
Raydan, Marcos
156
1993
Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: A scheme using stabilization and hybrid interfaces. Zbl 1202.65144
Eymard, R.; Gallouët, T.; Herbin, R.
154
2010
Computing the nearest correlation matrix – a problem from finance. Zbl 1006.65036
Higham, Nicholas J.
152
2002
Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems. Zbl 1271.65100
Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang; Wang, Zeng-Qi
139
2013
\(R\)-linear convergence of the Barzilai and Borwein gradient method. Zbl 1002.65069
Dai, Yuhong; Liao, Li-Zhi
134
2002
An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data. Zbl 1336.65150
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi
130
2016
Finite elements on evolving surfaces. Zbl 1120.65102
Dziuk, G.; Elliott, C. M.
130
2007
Numerical methods for \(y''=f(x,y)\) via rational approximations for the cosine. Zbl 0675.65072
Coleman, John P.
122
1989
Superconvergence and extrapolation of non-conforming low order finite elements applied to the Poisson equation. Zbl 1068.65122
Lin, Qun; Tobiska, Lutz; Zhou, Aihui
120
2005
\(P\)-stability and exponential-fitting methods for \(y''=f(x,y)\). Zbl 0847.65052
Coleman, John P.; Ixaru, Liviu Gr.
119
1996
A new approach to variable selection in least squares problems. Zbl 0962.65036
Osborne, M. R.; Presnell, Brett; Turlach, B. A.
119
2000
Block preconditioning of real-valued iterative algorithms for complex linear systems. Zbl 1145.65022
Benzi, Michele; Bertaccini, Daniele
111
2008
The numerical computation of connecting orbits in dynamical systems. Zbl 0706.65080
Beyn, W.-J.
106
1990
Newton’s method on Riemannian manifolds and a geometric model for the human spine. Zbl 1056.92002
Adler, Roy L.; Dedieu, Jean-Pierre; Margulies, Joseph Y.; Martens, Marco; Shub, Mike
104
2002
On generalized moving least squares and diffuse derivatives. Zbl 1252.65037
Mirzaei, Davoud; Schaback, Robert; Dehghan, Mehdi
103
2012
Moment-free numerical integration of highly oscillatory functions. Zbl 1106.65021
Olver, Sheehan
97
2006
Convergence rates for sparse chaos approximations of elliptic problems with stochastic coefficients. Zbl 1120.65004
Todor, Radu Alexandru; Schwab, Christoph
96
2007
Numerical solution of the stable, non-negative definite Lyapunov equation. Zbl 0492.65017
Hammarling, S. J.
95
1982
Conforming and nonconforming virtual element methods for elliptic problems. Zbl 1433.65282
Cangiani, Andrea; Manzini, Gianmarco; Sutton, Oliver J.
94
2017
Robust numerical methods for contingent claims under jump diffusion processes. Zbl 1134.91405
D’Halluin, Y.; Forsyth, P. A.; Vetzal, K. R.
93
2005
The numerical stability of barycentric Lagrange interpolation. Zbl 1067.65016
Higham, Nicholas J.
89
2004
A novel fitted finite volume method for the Black-Scholes equation governing option pricing. Zbl 1147.91332
Wang, Song
86
2004
Restrictively preconditioned conjugate gradient methods for systems of linear equations. Zbl 1046.65018
Bai, Zhongzhi; Li, Guiqing
81
2003
Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations. Zbl 1312.76061
He, Yinnian
81
2015
Inexact spectral projected gradient methods on convex sets. Zbl 1047.65042
Birgin, Ernesto G.; Martínez, José Mario; Raydan, Marcos
76
2003
Convergence of Newton’s method and uniqueness of the solution of equations in Banach space. Zbl 0942.65057
Wang, Xinghua
76
2000
On convergence rates for the iteratively regularized Gauss-Newton method. Zbl 0881.65050
Blaschke, Barbara; Neubauer, Andreas; Scherzer, Otmar
75
1997
A discontinuous Galerkin method with weighted averages for advection-diffusion equations with locally small and anisotropic diffusivity. Zbl 1165.65074
Ern, Alexandre; Stephansen, Annette F.; Zunino, Paolo
75
2009
Realistic eigenvalue bounds for the Galerkin mass matrix. Zbl 0648.65076
Wathen, A. J.
73
1987
Approximation of the global attractor for the incompressible Navier-Stokes equations. Zbl 0982.76022
Hill, Adrian T.; Süli, Endre
73
2000
Product approximation for non-linear problems in the finite element method. Zbl 0469.65072
Christie, I.; Griffiths, D. F.; Mitchell, A. R.; Sanz-Serna, J. M.
73
1981
A conforming mixed finite element method for the coupling of fluid flow with porous media flow. Zbl 1157.76025
Gatica, Gabriel N.; Meddahi, Salim; Oyarzúa, Ricardo
72
2009
Fitted and unfitted finite-element methods for elliptic equations with smooth interfaces. Zbl 0629.65118
Barrett, John W.; Elliott, Charles M.
71
1987
Finite difference discretization of the cubic Schrödinger equation. Zbl 0762.65070
Akrivis, Georgios D.
69
1993
Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion. Zbl 1321.65142
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi
69
2015
The stability of the \(\theta\)-methods in the numerical solution of delay differential equations. Zbl 0693.65056
Liu, M. Z.; Spijker, M. N.
69
1990
Block-diagonal preconditioning for spectral stochastic finite-element systems. Zbl 1169.65007
Powell, Catherine E.; Elman, Howard C.
68
2009
Newton’s method on Riemannian manifolds: Covariant alpha theory. Zbl 1047.65037
Dedieu, Jean-Pierre; Priouret, Pierre; Malajovich, Gregorio
67
2003
A virtual element method with arbitrary regularity. Zbl 1293.65146
Beirão da Veiga, Lourenco; Manzini, Gianmarco
67
2014
The cyclic Barzilai-Borwein method for unconstrained optimization. Zbl 1147.65315
Dai, Yuhong; Hager, William W.; Schittkowski, Klaus; Zhang, Hongchao
66
2006
Order conditions for a class of two-step methods for \(y''=f(x,y)\). Zbl 1022.65080
Coleman, John P.
65
2003
Stability and convergence of a second-order mixed finite element method for the Cahn-Hilliard equation. Zbl 1433.80005
Diegel, Amanda E.; Wang, Cheng; Wise, Steven M.
65
2016
Stability of Runge-Kutta methods for trajectory problems. Zbl 0624.65057
Cooper, G. J.
64
1987
On the stability of linear multistep methods for Volterra convolution equations. Zbl 0543.65095
Lubich, Ch.
63
1983
Toeplitz preconditioners for Toeplitz systems with nonnegative generating functions. Zbl 0737.65022
Chan, Raymond H.
62
1991
Conservative and nonconservative schemes for the solution of the nonlinear Schrödinger equation. Zbl 0593.65087
Sanz-Serna, J. M.; Verwer, J. G.
61
1986
Clenshaw-Curtis-Filon-type methods for highly oscillatory Bessel transforms and applications. Zbl 1232.65047
Xiang, Shuhuang; Cho, Yeol Je; Wang, Haiyong; Brunner, Hermann
61
2011
A uniformly convergent numerical method for a coupled system of two singularly perturbed linear reaction-diffusion problems. Zbl 1048.65076
Madden, Niall; Stynes, Martin
60
2003
A modified BFGS algorithm for unconstrained optimization. Zbl 0733.65039
Yuan, Yaxiang
60
1991
A cell-centred finite-volume approximation for anisotropic diffusion operators on unstructured meshes in any space dimension. Zbl 1093.65110
Eymard, R.; Gallouët, T.; Herbin, R.
59
2006
High-order embedded Runge-Kutta-Nyström formulae. Zbl 0627.65085
Dormand, J. R.; El-Mikkawy, M. E. A.; Prince, P. J.
58
1987
Upwind difference approximations for degenerate parabolic convection-diffusion equations with a discontinuous coefficient. Zbl 1014.65073
Karlsen, K. H.; Risebro, N. H.; Towers, J. D.
57
2002
A parallel method for time discretization of parabolic equations based on Laplace transformation and quadrature. Zbl 1022.65108
Sheen, Dongwoo; Sloan, Ian H.; Thomée, Vidar
57
2003
On the numerical quadrature of highly-oscillating integrals. I: Fourier transforms. Zbl 1061.65149
Iserles, Arieh
57
2004
A class of derivative-free methods for large-scale nonlinear monotone equations. Zbl 1241.65047
Li, Qingna; Li, Dong-Hui
57
2011
A mixed virtual element method for the pseudostress-velocity formulation of the Stokes problem. Zbl 1433.76071
Cáceres, Ernesto; Gatica, Gabriel N.
56
2017
Global convergence of a class of trust-region methods for nonconvex minimization in Hilbert space. Zbl 0698.65043
Toint, Ph. L.
56
1988
Numerical solvability of Hammerstein integral equations of mixed type. Zbl 0719.65093
Ganesh, M.; Joshi, M. C.
55
1991
Stability analysis of Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations. Zbl 1057.65104
Zhang, Chengjian; Vandewalle, Stefan
55
2004
A fourth algebraic order exponentially-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation. Zbl 0990.65079
Simos, T. E.
55
2001
Numerical convergence properties of option pricing PDEs with uncertain volatility. Zbl 1040.91053
Pooley, D. M.; Forsyth, P. A.; Vetzal, K. R.
53
2003
The Galerkin method for integral equations of the first kind with logarithmic kernel: Theory. Zbl 0636.65143
Sloan, I. H.; Spence, A.
53
1988
Anisotropic interpolation and quasi-Wilson element for narrow quadrilateral meshes. Zbl 1049.65129
Chen, Shaochun; Shi, Dongyang; Zhao, Yongcheng
52
2004
A finite difference method for a two-point boundary value problem with a Caputo fractional derivative. Zbl 1339.65097
Stynes, Martin; Gracia, José Luis
52
2015
A new weak Galerkin finite element method for the Helmholtz equation. Zbl 1323.65116
Mu, Lin; Wang, Junping; Ye, Xiu
52
2015
Solving linear partial differential equations by exponential splitting. Zbl 0676.65116
Sheng, Q.
51
1989
Well-posedness of \(hp\)-version discontinuous Galerkin methods for fractional diffusion wave equations. Zbl 1310.65128
Mustapha, Kassem; Schötzau, Dominik
51
2014
The computation of averages from equilibrium and nonequilibrium Langevin molecular dynamics. Zbl 1347.65014
Leimkuhler, Benedict; Matthews, Charles; Stoltz, Gabriel
50
2016
A note on collocation methods for Volterra integro-differential equations with weakly singular kernels. Zbl 0765.65126
Tang, Tao
50
1993
Centred TVD schemes for hyperbolic conservation laws. Zbl 0943.65100
Toro, E. F.; Billet, S. J.
50
2000
Error estimates for the approximate solutions of a nonlinear hyperbolic equation given by finite volume schemes. Zbl 0973.65078
Eymard, R.; Gallouët, T.; Ghilani, M.; Herbin, R.
50
1998
Stability and error estimates for Filon-Clenshaw-Curtis rules for highly oscillatory integrals. Zbl 1231.65060
Domínguez, V.; Graham, I. G.; Smyshlyaev, V. P.
50
2011
Newton’s method on Riemannian manifolds: Smale’s point estimate theory under the \(\gamma\)-condition. Zbl 1094.65052
Li, Chong; Wang, Jinhua
49
2006
Linearly implicit time discretization of nonlinear parabolic equations. Zbl 0834.65092
Lubich, Ch.; Ostermann, A.
49
1995
Linearization of matrix polynomials expressed in polynomial bases. Zbl 1158.15022
Amiraslani, A.; Corless, R. M.; Lancaster, P.
49
2009
The calculation of Hopf points by a direct method. Zbl 0521.65070
Griewank, A.; Reddien, G.
49
1983
\(H^1\)-Galerkin mixed finite element methods for parabolic partial integro-differential equations. Zbl 1008.65101
Pani, Amiya K.; Fairweather, Graeme
48
2002
Convergence properties of the Fletcher-Reeves method. Zbl 0851.65049
Dai, Y. H.; Yuan, Y.
48
1996
Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems I: The scalar case. Zbl 1084.65116
Houston, Paul; Robson, Janice; Süli, Endre
47
2005
Local polynomial reproduction and moving least squares approximation. Zbl 0976.65013
Wendland, Holger
47
2001
An implicit finite-difference time-stepping method for a sub-diffusion equation, with spatial discretization by finite elements. Zbl 1219.65091
Mustapha, Kassem
47
2011
The discrete collocation method for nonlinear integral equations. Zbl 0771.65090
Atkinson, K.; Flores, J.
47
1993
A hybrid mixed discontinuous Galerkin finite-element method for convection-diffusion problems. Zbl 1204.65133
Egger, Herbert; Schöberl, Joachim
46
2010
Piecewise rational quadratic interpolation to monotonic data. Zbl 0481.65004
Gregory, J. A.; Delbourgo, R.
46
1982
The numerical evaluation of particular solutions for Poisson’s equation. Zbl 0576.65114
Atkinson, K. E.
45
1985
Matrix completion via an alternating direction method. Zbl 1236.65043
Chen, Caihua; He, Bingsheng; Yuan, Xiaoming
45
2012
\(\varepsilon\)-uniform schemes with high-order time-accuracy for parabolic singular perturbation problems. Zbl 0942.65095
Hemker, P. W.; Shishkin, G. I.; Shishkina, L. P.
44
2000
Approximation of \(1/x\) by exponential sums in \([1, \infty]\). Zbl 1082.65025
Braess, Dietrich; Hackbusch, Wolfgang
43
2005
Pre-asymptotic error analysis of CIP-FEM and FEM for the Helmholtz equation with high wave number. I: Linear version. Zbl 1296.65144
Wu, Haijun
43
2014
A second elasticity element using the matrix bubble. Zbl 1232.74101
Gopalakrishnan, J.; Guzmán, J.
43
2012
Conservative upwind finite-element method for a simplified Keller-Segel system modelling chemotaxis. Zbl 1119.65094
Saito, Norikazu
43
2007
Numerical analysis of a quadratic matrix equation. Zbl 0966.65040
Higham, Nicholas J.; Kim, Hyun-Min
42
2000
Time discretization of an evolution equation via Laplace transforms. Zbl 1068.65146
McLean, William; Thomée, Vidar
42
2004
Convergence analysis of the immersed interface method. Zbl 0940.65114
Huang, Huaxiong; Li, Zhilin
42
1999
An adaptive BDF2 implicit time-stepping method for the phase field crystal model. Zbl 07465510
Liao, Hong-Lin; Ji, Bingquan; Zhang, Luming
7
2022
Estimates on the generalization error of physics-informed neural networks for approximating a class of inverse problems for PDEs. Zbl 07524707
Mishra, Siddhartha; Molinaro, Roberto
5
2022
Consistency, convergence and error estimates for a mixed finite element-finite volume scheme to compressible Navier-Stokes equations with general inflow/outflow boundary data. Zbl 07465494
Kwon, Young-Sam; Novotný, Antonín
4
2022
Simulation of McKean-Vlasov SDEs with super-linear growth. Zbl 1481.65020
dos Reis, Gonçalo; Engelhardt, Stefan; Smith, Greig
4
2022
A posteriori error estimates with boundary correction for a cut finite element method. Zbl 07465500
Burman, Erik; He, Cuiyu; Larson, Mats G.
3
2022
Automatic rational approximation and linearization of nonlinear eigenvalue problems. Zbl 07524710
Lietaert, Pieter; Meerbergen, Karl; Pérez, Javier; Vandereycken, Bart
3
2022
A strong order 3/4 method for SDEs with discontinuous drift coefficient. Zbl 07465497
Müller-Gronbach, Thomas; Yaroslavtseva, Larisa
2
2022
Equivalence of local- and global-best approximations, a simple stable local commuting projector, and optimal \(hp\) approximation estimates in \(\boldsymbol{H}(\operatorname{div})\). Zbl 07524708
Ern, Alexandre; Gudi, Thirupathi; Smears, Iain; Vohralík, Martin
2
2022
The time-fractional Cahn-Hilliard equation: analysis and approximation. Zbl 07524735
Al-Maskari, Mariam; Karaa, Samir
2
2022
Time-dependent acoustic scattering from generalized impedance boundary conditions via boundary elements and convolution quadrature. Zbl 07465490
Banjai, Lehel; Lubich, Christian; Nick, Jörg
1
2022
Space-time discretization for nonlinear parabolic systems with \(p\)-structure. Zbl 07465498
Berselli, Luigi C.; Růžička, Michael
1
2022
Error estimates for fully discrete BDF finite element approximations of the Allen-Cahn equation. Zbl 07465501
Akrivis, Georgios; Li, Buyang
1
2022
Wavelet-based approximations of pointwise bound constraints in Lebesgue and Sobolev spaces. Zbl 07465503
Dahlke, S.; Surowiec, T. M.
1
2022
A convergent finite element scheme for a fourth-order liquid crystal model. Zbl 07465504
Metzger, Stefan
1
2022
Divergence-preserving reconstructions on polygons and a really pressure-robust virtual element method for the Stokes problem. Zbl 07465508
Frerichs, Derk; Merdon, Christian
1
2022
Residual-based a posteriori error estimates of mixed methods for a three-field Biot’s consolidation model. Zbl 07465509
Li, Yuwen; Zikatanov, Ludmil T.
1
2022
Log orthogonal functions: approximation properties and applications. Zbl 1481.65037
Chen, Sheng; Shen, Jie
1
2022
The numerical unified transform method for initial-boundary value problems on the half-line. Zbl 07524719
Deconinck, Bernard; Trogdon, Thomas; Yang, Xin
1
2022
Plain convergence of adaptive algorithms without exploiting reliability and efficiency. Zbl 07524720
Gantner, Gregor; Praetorius, Dirk
1
2022
A family of fast fixed point iterations for M/G/1-type Markov chains. Zbl 07524721
Bini, Dario A.; Latouche, Guy; Meini, Beatrice
1
2022
Semirobust analysis of an H(div)-conforming DG method with semi-implicit time-marching for the evolutionary incompressible Navier-Stokes equations. Zbl 07524725
Han, Yongbin; Hou, Yanren
1
2022
An HDG method for dissimilar meshes. Zbl 07524729
Solano, Manuel; Terrana, Sébastien; Nguyen, Ngoc-Cuong; Peraire, Jaime
1
2022
Quasi-Newton variable preconditioning for nonlinear nonuniformly monotone elliptic problems posed in Banach spaces. Zbl 07524734
Borsos, B.; Karátson, J.
1
2022
An unfitted Eulerian finite element method for the time-dependent Stokes problem on moving domains. Zbl 07563201
von Wahl, Henry; Richter, Thomas; Lehrenfeld, Christoph
1
2022
Consistency analysis of the Grünwald-Letnikov approximation in a bounded domain. Zbl 07563208
Sousa, Ercília
1
2022
Stability of Galerkin discretizations of a mixed space-time variational formulation of parabolic evolution equations. Zbl 1461.65242
Stevenson, Rob; Westerdiep, Jan
10
2021
Nonconforming finite element discretization for semilinear problems with trilinear nonlinearity. Zbl 1460.65145
Carstensen, Carsten; Mallik, Gouranga; Nataraj, Neela
6
2021
Energy-preserving methods for nonlinear Schrödinger equations. Zbl 1460.65099
Besse, Christophe; Descombes, Stéphane; Dujardin, Guillaume; Lacroix-Violet, Ingrid
6
2021
On strong stability of explicit Runge-Kutta methods for nonlinear semibounded operators. Zbl 1464.65075
Ranocha, Hendrik
6
2021
Strong error analysis for stochastic gradient descent optimization algorithms. Zbl 1460.65071
Jentzen, Arnulf; Kuckuck, Benno; Neufeld, Ariel; von Wurstemberger, Philippe
5
2021
Adaptive cubic regularization methods with dynamic inexact Hessian information and applications to finite-sum minimization. Zbl 1460.65076
Bellavia, Stefania; Gurioli, Gianmarco; Morini, Benedetta
5
2021
Blow-up of error estimates in time-fractional initial-boundary value problems. Zbl 07528268
Chen, Hu; Stynes, Martin
5
2021
Optimal-order error estimates of finite element approximations to variable-order time-fractional diffusion equations without regularity assumptions of the true solutions. Zbl 07528285
Zheng, Xiangcheng; Wang, Hong
5
2021
\(hp\)-FEM for the fractional heat equation. Zbl 1466.65141
Markus Melenk, Jens; Rieder, Alexander
4
2021
Convergence in Hölder norms with applications to Monte Carlo methods in infinite dimensions. Zbl 1460.65054
Cox, Sonja; Hutzenthaler, Martin; Jentzen, Arnulf; van Neerven, Jan; Welti, Timo
4
2021
Trace finite element methods for surface vector-Laplace equations. Zbl 1466.65192
Jankuhn, Thomas; Reusken, Arnold
3
2021
A numerical-analysis-focused comparison of several finite volume schemes for a unipolar degenerate drift-diffusion model. Zbl 1460.65104
Cancès, Clément; Chainais-Hillairet, Claire; Fuhrmann, Jürgen; Gaudeul, Benoît
3
2021
Bridging the hybrid high-order and virtual element methods. Zbl 1460.65148
Lemaire, Simon
3
2021
Trace operators of the bi-Laplacian and applications. Zbl 07528270
Führer, Thomas; Haberl, Alexander; Heuer, Norbert
3
2021
Finite element error analysis of wave equations with dynamic boundary conditions: \(L^2\) estimates. Zbl 1460.65120
Hipp, David; Kovács, Balázs
2
2021
The Euler-Maruyama scheme for SDEs with irregular drift: convergence rates via reduction to a quadrature problem. Zbl 07528274
Neuenkirch, Andreas; Szölgyenyi, Michaela
2
2021
Anderson acceleration for contractive and noncontractive operators. Zbl 07528322
Pollock, Sara; Rebholz, Leo G.
2
2021
A log-barrier Newton-CG method for bound constrained optimization with complexity guarantees. Zbl 1464.65067
O’Neill, Michael; Wright, Stephen J.
1
2021
Implicit MAC scheme for compressible Navier-Stokes equations: low Mach asymptotic error estimates. Zbl 1460.65108
Maltese, David; Novotný, Antonín
1
2021
A mixed-primal finite element method for the coupling of Brinkman-Darcy flow and nonlinear transport. Zbl 1460.65138
Alvarez, Mario; Gatica, Gabriel N.; Ruiz-Baier, Ricardo
1
2021
Contour integrals of analytic functions given on a grid in the complex plane. Zbl 07528264
Fornberg, Bengt
1
2021
A convergent FV-FE scheme for the stationary compressible Navier-Stokes equations. Zbl 07528265
Perrin, Charlotte; Saleh, Khaled
1
2021
Backward differentiation formula finite difference schemes for diffusion equations with an obstacle term. Zbl 07528266
Bokanowski, Olivier; Debrabant, Kristian
1
2021
Multivariate approximation of functions on irregular domains by weighted least-squares methods. Zbl 07528278
Migliorati, Giovanni
1
2021
A finite element error analysis for axisymmetric mean curvature flow. Zbl 07528290
Barrett, John W.; Deckelnick, Klaus; Nürnberg, Robert
1
2021
A unified theory for continuous-in-time evolving finite element space approximations to partial differential equations in evolving domains. Zbl 07528292
Elliott, C. M.; Ranner, T.
1
2021
Quantitative stability and error estimates for optimal transport plans. Zbl 07528295
Li, Wenbo; Nochetto, Ricardo H.
1
2021
Robust a posteriori error estimation for mixed finite element approximation of linear poroelasticity. Zbl 07528297
Khan, Arbaz; Silvester, David J.
1
2021
Domain decomposition preconditioners for high-order discretizations of the heterogeneous Helmholtz equation. Zbl 07528301
Gong, Shihua; Graham, Ivan G.; Spence, Euan A.
1
2021
Accurately computing the log-sum-exp and softmax functions. Zbl 07528305
Blanchard, Pierre; Higham, Desmond J.; Higham, Nicholas J.
1
2021
Optimal finite element error estimates for an optimal control problem governed by the wave equation with controls of bounded variation. Zbl 07528316
Engel, Sebastian; Vexler, Boris; Trautmann, Philip
1
2021
A Banach space mixed formulation for the unsteady Brinkman-Forchheimer equations. Zbl 07528318
Caucao, Sergio; Yotov, Ivan
1
2021
A second-order discretization for degenerate systems of stochastic differential equations. Zbl 07528320
Iguchi, Yuga; Yamada, Toshihiro
1
2021
Analysis of an interior penalty DG method for the quad-curl problem. Zbl 07528327
Chen, Gang; Qiu, Weifeng; Xu, Liwei
1
2021
Strong convergence rates for an explicit numerical approximation method for stochastic evolution equations with non-globally Lipschitz continuous nonlinearities. Zbl 1466.65161
Jentzen, Arnulf; Pušnik, Primož
11
2020
Strong approximation of monotone stochastic partial differential equations driven by white noise. Zbl 1464.65148
Liu, Zhihui; Qiao, Zhonghua
11
2020
Fully discrete finite element approximation of unsteady flows of implicitly constituted incompressible fluids. Zbl 1464.65131
Süli, Endre; Tscherpel, Tabea
9
2020
Pointwise-in-time error estimates for an optimal control problem with subdiffusion constraint. Zbl 1464.65065
Jin, Bangti; Li, Buyang; Zhou, Zhi
9
2020
Optimal proximal augmented Lagrangian method and its application to full Jacobian splitting for multi-block separable convex minimization problems. Zbl 1462.65066
He, Bingsheng; Ma, Feng; Yuan, Xiaoming
8
2020
Wavenumber explicit convergence analysis for finite element discretizations of general wave propagation problems. Zbl 1465.65130
Chaumont-Frelet, Théophile; Nicaise, S.
8
2020
Stream function formulation of surface Stokes equations. Zbl 1466.65201
Reusken, Arnold
8
2020
A priori and a posteriori error estimates for a virtual element spectral analysis for the elasticity equations. Zbl 1466.65197
Mora, David; Rivera, Gonzalo
8
2020
Virtual element method for quasilinear elliptic problems. Zbl 1466.65182
Cangiani, A.; Chatzipantelidis, P.; Diwan, G.; Georgoulis, E. H.
8
2020
A virtual element method for a nonlocal Fitzhugh-Nagumo model of cardiac electrophysiology. Zbl 1466.65116
Anaya, Verónica; Bendahmane, Mostafa; Mora, David; Sepúlveda, Mauricio
7
2020
A Lawson-type exponential integrator for the Korteweg-de Vries equation. Zbl 1466.65157
Ostermann, Alexander; Su, Chunmei
7
2020
Fully discrete numerical schemes of a data assimilation algorithm: uniform-in-time error estimates. Zbl 1466.65154
Ibdah, Hussain A.; Mondaini, Cecilia F.; Titi, Edriss S.
7
2020
Finite element method for a stationary Stokes hemivariational inequality with slip boundary condition. Zbl 1466.65185
Fang, Changjie; Czuprynski, Kenneth; Han, Weimin; Cheng, Xiaoliang; Dai, Xiaoxia
7
2020
A Leray regularized ensemble-proper orthogonal decomposition method for parameterized convection-dominated flows. Zbl 1467.65098
Gunzburger, Max; Iliescu, Traian; Schneier, Michael
6
2020
Localization of the \(W^{-1,q}\) norm for local a posteriori efficiency. Zbl 07199497
Blechta, Jan; Málek, Josef; Vohralík, Martin
6
2020
Numerical solution of fractional elliptic stochastic PDEs with spatial white noise. Zbl 1466.65181
Bolin, David; Kirchner, Kristin; Kovács, Mihály
6
2020
A new analysis of a numerical method for the time-fractional Fokker-Planck equation with general forcing. Zbl 1455.65170
Huang, Can; Le, Kim Ngan; Stynes, Martin
6
2020
A mass conserving mixed stress formulation for the Stokes equations. Zbl 1466.65189
Gopalakrishnan, Jay; Lederer, Philip L.; Schöberl, Joachim
6
2020
\(\mathscr{K}\)-convergence as a new tool in numerical analysis. Zbl 1465.65045
Feireisl, Eduard; Lukáčová-Medviďová, Mária; Mizerová, Hana
6
2020
Petrov-Galerkin space-time \(hp\)-approximation of parabolic equations in \(H^{1/2}\). Zbl 1466.65126
Devaud, Denis
6
2020
Linear second-order IMEX-type integrator for the (eddy current) Landau-Lifshitz-Gilbert equation. Zbl 1466.65127
Di Fratta, Giovanni; Pfeiler, Carl-Martin; Praetorius, Dirk; Ruggeri, Michele; Stiftner, Bernhard
6
2020
Collocation methods for integro-differential algebraic equations with index 1. Zbl 1462.65098
Liang, Hui; Brunner, Hermann
5
2020
Error estimates of finite difference schemes for the Korteweg-de Vries equation. Zbl 1462.65103
Courtès, Clémentine; Lagoutière, Frédéric; Rousset, Frédéric
5
2020
Virtual element methods for the obstacle problem. Zbl 1462.65202
Wang, Fei; Wei, Huayi
5
2020
Analysis of finite element methods for vector Laplacians on surfaces. Zbl 1466.65190
Hansbo, Peter; Larson, Mats G.; Larsson, Karl
5
2020
Hybrid high-order discretizations combined with Nitsche’s method for Dirichlet and Signorini boundary conditions. Zbl 1466.65183
Cascavita, Karol L.; Chouly, Franz; Ern, Alexandre
5
2020
The nonsmooth landscape of phase retrieval. Zbl 1464.65063
Davis, Damek; Drusvyatskiy, Dmitriy; Paquette, Courtney
5
2020
A lowest-order staggered DG method for the coupled Stokes-Darcy problem. Zbl 1466.65209
Zhao, Lina; Park, Eun-Jae
5
2020
Improved error estimates for semidiscrete finite element solutions of parabolic Dirichlet boundary control problems. Zbl 1466.65132
Gong, Wei; Li, Buyang
5
2020
An equilibration-based a posteriori error bound for the biharmonic equation and two finite element methods. Zbl 1464.65171
Braess, Dietrich; Pechstein, Astrid S.; Schöberl, Joachim
4
2020
Extending the unified transform: curvilinear polygons and variable coefficient PDEs. Zbl 1466.65223
Colbrook, Matthew J.
4
2020
A posteriori error analysis for random scalar conservation laws using the stochastic Galerkin method. Zbl 1464.65124
Meyer, Fabian; Rohde, Christian; Giesselmann, Jan
4
2020
Simple bespoke preservation of two conservation laws. Zbl 1466.65063
Frasca-Caccia, Gianluca; Hydon, Peter Ellsworth
4
2020
A multi-level mixed element scheme of the two-dimensional Helmholtz transmission eigenvalue problem. Zbl 1462.65175
Xi, Yingxia; Ji, Xia; Zhang, Shuo
4
2020
Analysis of a new class of rational RBF expansions. Zbl 1465.65014
Buhmann, Martin D.; De Marchi, Stefano; Perracchione, Emma
4
2020
Essential numerical ranges for linear operator pencils. Zbl 1466.15021
Bögli, Sabine; Marletta, Marco
4
2020
Large-time behaviour of a family of finite volume schemes for boundary-driven convection-diffusion equations. Zbl 1467.65088
Chainais-Hillairet, Claire; Herda, Maxime
4
2020
Space-time approximation of parabolic systems with variable growth. Zbl 1466.65122
Breit, Dominic; Mensah, Prince Romeo
4
2020
Optimal error estimates of finite difference time domain methods for the Klein-Gordon-Dirac system. Zbl 1466.65085
Yi, Wenfan; Cai, Yongyong
3
2020
A mixed DG method and an HDG method for incompressible magnetohydrodynamics. Zbl 1466.65200
Qiu, Weifeng; Shi, Ke
3
2020
Minimal consistent finite element space for the biharmonic equation on quadrilateral grids. Zbl 1466.65208
Zhang, Shuo
3
2020
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Cited by 16,012 Authors

201 Simos, Theodore E.
99 Dehghan Takht Fooladi, Mehdi
81 Shi, Dongyang
69 Gatica, Gabriel N.
66 He, Yinnian
60 Argyros, Ioannis Konstantinos
59 Zhang, Guofeng
57 Huang, Yunqing
51 Li, Jichun
51 Xiang, Shuhuang
50 Carstensen, Carsten
49 Xu, Da
48 Praetorius, Dirk
48 Reichel, Lothar
46 Chen, Yanping
45 Huang, Chengming
45 Wu, Xinyuan
43 Sayas, Francisco-Javier
42 Ern, Alexandre
42 Stynes, Martin
41 Iserles, Arieh
41 Ma, Changfeng
40 Di Pietro, Daniele Antonio
38 Burman, Erik
38 Dai, Yu-Hong
38 Droniou, Jérôme
38 Li, Buyang
38 Schwab, Christoph
38 Vohralík, Martin
38 Zhang, Zhimin
37 Zhang, Chengjian
36 Pani, Amiya Kumar
36 Ruiz-Baier, Ricardo
36 Wang, Song
35 Eymard, Robert
33 Wang, Cheng
32 Antonietti, Paola Francesca
32 Barrett, John William
32 Chung, Tsz Shun Eric
32 Heuer, Norbert
32 Manzini, Gianmarco
32 Zhang, Shangyou
31 Babaie-Kafaki, Saman
31 Bai, Zhongzhi
31 Beirão da Veiga, Lourenço
31 Benner, Peter
31 Cockburn, Bernardo
31 He, Xiaoming
31 Liang, Zhaozheng
31 Mora, David
31 Olshanskii, Maxim A.
31 Wang, Wansheng
30 Alolyan, Ibraheem
30 Feng, Xinlong
30 Martínez, José Mario
30 Melenk, Jens Markus
30 Oyarzúa, Ricardo
29 Chen, Shaochun
29 Jentzen, Arnulf
29 Mao, Shipeng
29 Natesan, Srinivasan
29 Nicaise, Serge
28 Brunner, Hermann
28 Cao, Yang
28 Li, Donghui
28 Nelakanti, Gnaneshwar
28 Sanz-Serna, Jesús María
28 Toint, Philippe L.
27 Li, Chong
27 Lin, Yanping
27 Serra-Capizzano, Stefano
26 Elliott, Charles M.
26 Fang, Yonglei
26 Forsyth, Peter A.
26 Führer, Thomas
26 Guo, Ben-Yu
26 Hansbo, Peter
26 Herbin, Raphaèle
26 Karlsen, Kenneth Hvistendahl
26 Larson, Mats G.
26 Liu, Hongwei
26 Wu, Yujiang
26 Yuan, Gonglin
25 Ganesh, Mahadevan
25 Georgoulis, Emmanuil H.
25 Harbrecht, Helmut
25 Jin, Bangti
25 Kadalbajoo, Mohan K.
25 Otárola, Enrique
25 Paternoster, Beatrice
25 Wei, Zengxin
25 Wu, Zongmin
24 Abbaszadeh, Mostafa
24 Ford, Neville J.
24 Gracia, José Luis
24 Han, Weimin
24 Huang, Jin
24 Nochetto, Ricardo Horacio
24 Raydan, Marcos
24 Süli, Endre E.
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