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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: 1,934 Publications (since 1981)
all top 5

Latest Issues

42, No. 2 (2022)
42, No. 1 (2022)
41, No. 4 (2021)
41, No. 3 (2021)
41, No. 2 (2021)
41, No. 1 (2021)
40, No. 4 (2020)
40, No. 3 (2020)
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39, No. 4 (2019)
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19, No. 4 (1999)
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19, No. 1 (1999)
18, No. 4 (1998)
18, No. 3 (1998)
18, No. 2 (1998)
18, No. 1 (1998)
17, No. 4 (1997)
17, No. 3 (1997)
...and 43 more Volumes
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Authors

26 Barrett, John W.
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 Powell, Michael James David
12 Sloan, Ian Hugh
12 Stynes, Martin
11 Pani, Amiya Kumar
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 Fairweather, Graeme
7 Garcke, Harald
7 Hill, Adrian T.
7 Houston, Paul
7 Jin, Bangti
7 Karlsen, Kenneth Hvistendahl
7 Nataraj, Neela
7 Osborne, Michael Robert
7 Stevenson, Rob P.
6 Ainsworth, Mark
6 Araya, Rodolfo A.
6 Banjai, Lehel
6 Barrenechea, Gabriel R.
6 Buhmann, Martin Dietrich
6 Chainais-Hillairet, Claire
6 Chandler-Wilde, Simon N.
6 Forsyth, Peter A.
6 García-Archilla, Bosco
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 Praetorius, Dirk
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 Bartels, Sören
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 Guzmán, Johnny
5 Hairer, Ernst
5 Han, Weimin
5 Kovács, Balázs
...and 2,264 more Authors
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Fields

1,782 Numerical analysis (65-XX)
600 Partial differential equations (35-XX)
198 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)
75 Mechanics of deformable solids (74-XX)
56 Calculus of variations and optimal control; optimization (49-XX)
52 Linear and multilinear algebra; matrix theory (15-XX)
52 Probability theory and stochastic processes (60-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 Global analysis, analysis on manifolds (58-XX)
11 Real functions (26-XX)
9 Differential geometry (53-XX)
8 Integral transforms, operational calculus (44-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

1,644 Publications have been cited 22,507 times in 16,631 Documents Cited by Year
Two-point step size gradient methods. Zbl 0638.65055
Barzilai, Jonathan; Borwein, Jonathan M.
601
1988
Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems. Zbl 1134.65022
Bai, Zhongzhi; Golub, Gene H.
264
2007
A descent modified Polak-Ribière-Polyak conjugate gradient method and its global convergence. Zbl 1106.65056
Zhang, Li; Zhou, Weijun; Li, Donghui
188
2006
Local error estimates for radial basis function interpolation of scattered data. Zbl 0762.41006
Wu, Zong-Min; Schaback, Robert
176
1993
Families of Runge-Kutta-Nyström formulae. Zbl 0624.65059
Dormand, J. R.; El-Mikkawy, M. E. A.; Prince, P. J.
169
1987
Descent property and global convergence of the Fletcher-Reeves method with inexact line search. Zbl 0578.65063
Al-Baali, M.
161
1985
On the Barzilai and Borwein choice of steplength for the gradient method. Zbl 0778.65045
Raydan, Marcos
151
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.
149
2010
Computing the nearest correlation matrix – a problem from finance. Zbl 1006.65036
Higham, Nicholas J.
145
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
135
2013
\(R\)-linear convergence of the Barzilai and Borwein gradient method. Zbl 1002.65069
Dai, Yuhong; Liao, Li-Zhi
131
2002
Finite elements on evolving surfaces. Zbl 1120.65102
Dziuk, G.; Elliott, C. M.
124
2007
Superconvergence and extrapolation of non-conforming low order finite elements applied to the Poisson equation. Zbl 1068.65122
Lin, Qun; Tobiska, Lutz; Zhou, Aihui
118
2005
A new approach to variable selection in least squares problems. Zbl 0962.65036
Osborne, M. R.; Presnell, Brett; Turlach, B. A.
118
2000
Numerical methods for \(y''=f(x,y)\) via rational approximations for the cosine. Zbl 0675.65072
Coleman, John P.
117
1989
An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data. Zbl 1336.65150
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi
116
2016
\(P\)-stability and exponential-fitting methods for \(y''=f(x,y)\). Zbl 0847.65052
Coleman, John P.; Ixaru, Liviu Gr.
113
1996
The numerical computation of connecting orbits in dynamical systems. Zbl 0706.65080
Beyn, W.-J.
105
1990
Block preconditioning of real-valued iterative algorithms for complex linear systems. Zbl 1145.65022
Benzi, Michele; Bertaccini, Daniele
104
2008
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
103
2002
On generalized moving least squares and diffuse derivatives. Zbl 1252.65037
Mirzaei, Davoud; Schaback, Robert; Dehghan, Mehdi
100
2012
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.
94
1982
Moment-free numerical integration of highly oscillatory functions. Zbl 1106.65021
Olver, Sheehan
93
2006
Robust numerical methods for contingent claims under jump diffusion processes. Zbl 1134.91405
D’Halluin, Y.; Forsyth, P. A.; Vetzal, K. R.
90
2005
The numerical stability of barycentric Lagrange interpolation. Zbl 1067.65016
Higham, Nicholas J.
85
2004
A novel fitted finite volume method for the Black-Scholes equation governing option pricing. Zbl 1147.91332
Wang, Song
82
2004
Restrictively preconditioned conjugate gradient methods for systems of linear equations. Zbl 1046.65018
Bai, Zhongzhi; Li, Guiqing
80
2003
Conforming and nonconforming virtual element methods for elliptic problems. Zbl 1433.65282
Cangiani, Andrea; Manzini, Gianmarco; Sutton, Oliver J.
79
2017
Inexact spectral projected gradient methods on convex sets. Zbl 1047.65042
Birgin, Ernesto G.; Martínez, José Mario; Raydan, Marcos
74
2003
Convergence of Newton’s method and uniqueness of the solution of equations in Banach space. Zbl 0942.65057
Wang, Xinghua
74
2000
On convergence rates for the iteratively regularized Gauss-Newton method. Zbl 0881.65050
Blaschke, Barbara; Neubauer, Andreas; Scherzer, Otmar
73
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
72
2009
Realistic eigenvalue bounds for the Galerkin mass matrix. Zbl 0648.65076
Wathen, A. J.
72
1987
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.
71
1981
Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations. Zbl 1312.76061
He, Yinnian
71
2015
Approximation of the global attractor for the incompressible Navier-Stokes equations. Zbl 0982.76022
Hill, Adrian T.; Süli, Endre
70
2000
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
69
2009
Fitted and unfitted finite-element methods for elliptic equations with smooth interfaces. Zbl 0629.65118
Barrett, John W.; Elliott, Charles M.
69
1987
The stability of the \(\theta\)-methods in the numerical solution of delay differential equations. Zbl 0693.65056
Liu, M. Z.; Spijker, M. N.
68
1990
Block-diagonal preconditioning for spectral stochastic finite-element systems. Zbl 1169.65007
Powell, Catherine E.; Elman, Howard C.
66
2009
Finite difference discretization of the cubic Schrödinger equation. Zbl 0762.65070
Akrivis, Georgios D.
66
1993
A virtual element method with arbitrary regularity. Zbl 1293.65146
Beirão da Veiga, Lourenco; Manzini, Gianmarco
66
2014
Newton’s method on Riemannian manifolds: Covariant alpha theory. Zbl 1047.65037
Dedieu, Jean-Pierre; Priouret, Pierre; Malajovich, Gregorio
65
2003
Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion. Zbl 1321.65142
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi
65
2015
The cyclic Barzilai-Borwein method for unconstrained optimization. Zbl 1147.65315
Dai, Yuhong; Hager, William W.; Schittkowski, Klaus; Zhang, Hongchao
64
2006
Order conditions for a class of two-step methods for \(y''=f(x,y)\). Zbl 1022.65080
Coleman, John P.
63
2003
On the stability of linear multistep methods for Volterra convolution equations. Zbl 0543.65095
Lubich, Ch.
63
1983
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
59
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
58
2003
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.
58
2006
High-order embedded Runge-Kutta-Nyström formulae. Zbl 0627.65085
Dormand, J. R.; El-Mikkawy, M. E. A.; Prince, P. J.
58
1987
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.
57
2016
Stability of Runge-Kutta methods for trajectory problems. Zbl 0624.65057
Cooper, G. J.
57
1987
A modified BFGS algorithm for unconstrained optimization. Zbl 0733.65039
Yuan, Yaxiang
57
1991
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.
56
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
56
2003
On the numerical quadrature of highly-oscillating integrals. I: Fourier transforms. Zbl 1061.65149
Iserles, Arieh
56
2004
A class of derivative-free methods for large-scale nonlinear monotone equations. Zbl 1241.65047
Li, Qingna; Li, Dong-Hui
56
2011
Global convergence of a class of trust-region methods for nonconvex minimization in Hilbert space. Zbl 0698.65043
Toint, Ph. L.
56
1988
Toeplitz preconditioners for Toeplitz systems with nonnegative generating functions. Zbl 0737.65022
Chan, Raymond H.
56
1991
Numerical solvability of Hammerstein integral equations of mixed type. Zbl 0719.65093
Ganesh, M.; Joshi, M. C.
55
1991
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
Stability analysis of Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations. Zbl 1057.65104
Zhang, Chengjian; Vandewalle, Stefan
53
2004
The Galerkin method for integral equations of the first kind with logarithmic kernel: Theory. Zbl 0636.65143
Sloan, I. H.; Spence, A.
53
1988
Numerical convergence properties of option pricing PDEs with uncertain volatility. Zbl 1040.91053
Pooley, D. M.; Forsyth, P. A.; Vetzal, K. R.
52
2003
Anisotropic interpolation and quasi-Wilson element for narrow quadrilateral meshes. Zbl 1049.65129
Chen, Shaochun; Shi, Dongyang; Zhao, Yongcheng
51
2004
Solving linear partial differential equations by exponential splitting. Zbl 0676.65116
Sheng, Q.
51
1989
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
Linearly implicit time discretization of nonlinear parabolic equations. Zbl 0834.65092
Lubich, Ch.; Ostermann, A.
49
1995
The calculation of Hopf points by a direct method. Zbl 0521.65070
Griewank, A.; Reddien, G.
49
1983
A mixed virtual element method for the pseudostress-velocity formulation of the Stokes problem. Zbl 1433.76071
Cáceres, Ernesto; Gatica, Gabriel N.
48
2017
Stability and error estimates for Filon-Clenshaw-Curtis rules for highly oscillatory integrals. Zbl 1231.65060
Domínguez, V.; Graham, I. G.; Smyshlyaev, V. P.
48
2011
A note on collocation methods for Volterra integro-differential equations with weakly singular kernels. Zbl 0765.65126
Tang, Tao
48
1993
Linearization of matrix polynomials expressed in polynomial bases. Zbl 1158.15022
Amiraslani, A.; Corless, R. M.; Lancaster, P.
48
2009
Centred TVD schemes for hyperbolic conservation laws. Zbl 0943.65100
Toro, E. F.; Billet, S. J.
48
2000
A finite difference method for a two-point boundary value problem with a Caputo fractional derivative. Zbl 1339.65097
Stynes, Martin; Gracia, José Luis
48
2015
Well-posedness of \(hp\)-version discontinuous Galerkin methods for fractional diffusion wave equations. Zbl 1310.65128
Mustapha, Kassem; Schötzau, Dominik
47
2014
\(H^1\)-Galerkin mixed finite element methods for parabolic partial integro-differential equations. Zbl 1008.65101
Pani, Amiya K.; Fairweather, Graeme
47
2002
Newton’s method on Riemannian manifolds: Smale’s point estimate theory under the \(\gamma\)-condition. Zbl 1094.65052
Li, Chong; Wang, Jinhua
47
2006
The computation of averages from equilibrium and nonequilibrium Langevin molecular dynamics. Zbl 1347.65014
Leimkuhler, Benedict; Matthews, Charles; Stoltz, Gabriel
47
2016
An implicit finite-difference time-stepping method for a sub-diffusion equation, with spatial discretization by finite elements. Zbl 1219.65091
Mustapha, Kassem
46
2011
A new weak Galerkin finite element method for the Helmholtz equation. Zbl 1323.65116
Mu, Lin; Wang, Junping; Ye, Xiu
46
2015
Convergence properties of the Fletcher-Reeves method. Zbl 0851.65049
Dai, Y. H.; Yuan, Y.
45
1996
Local polynomial reproduction and moving least squares approximation. Zbl 0976.65013
Wendland, Holger
45
2001
The numerical evaluation of particular solutions for Poisson’s equation. Zbl 0576.65114
Atkinson, K. E.
45
1985
Piecewise rational quadratic interpolation to monotonic data. Zbl 0481.65004
Gregory, J. A.; Delbourgo, R.
45
1982
Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems I: The scalar case. Zbl 1084.65116
Houston, Paul; Robson, Janice; Süli, Endre
44
2005
A hybrid mixed discontinuous Galerkin finite-element method for convection-diffusion problems. Zbl 1204.65133
Egger, Herbert; Schöberl, Joachim
44
2010
The discrete collocation method for nonlinear integral equations. Zbl 0771.65090
Atkinson, K.; Flores, J.
44
1993
Matrix completion via an alternating direction method. Zbl 1236.65043
Chen, Caihua; He, Bingsheng; Yuan, Xiaoming
43
2012
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 splitting method for separable convex programming. Zbl 1310.65062
He, Bingsheng; Tao, Min; Yuan, Xiaoming
42
2015
Approximation of \(1/x\) by exponential sums in \([1, \infty]\). Zbl 1082.65025
Braess, Dietrich; Hackbusch, Wolfgang
42
2005
Time discretization of an evolution equation via Laplace transforms. Zbl 1068.65146
McLean, William; Thomée, Vidar
42
2004
Optimal error estimates of Galerkin finite element methods for stochastic partial differential equations with multiplicative noise. Zbl 1282.65021
Kruse, Raphael
42
2014
\(\varepsilon\)-uniform schemes with high-order time-accuracy for parabolic singular perturbation problems. Zbl 0942.65095
Hemker, P. W.; Shishkin, G. I.; Shishkina, L. P.
42
2000
Dissipativity of Runge-Kutta methods for dynamical systems with delays. Zbl 0944.65134
Huang, Chengming
42
2000
The use of auto-correlation for pseudo-rank determination in noisy ill- conditioned linear least-squares problems. Zbl 0484.65021
Baart, M. L.
42
1982
A posteriori error estimates with boundary correction for a cut finite element method. Zbl 07465500
Burman, Erik; He, Cuiyu; Larson, Mats G.
3
2022
Simulation of McKean-Vlasov SDEs with super-linear growth. Zbl 1481.65020
dos Reis, Gonçalo; Engelhardt, Stefan; Smith, Greig
3
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
A strong order 3/4 method for SDEs with discontinuous drift coefficient. Zbl 07465497
Müller-Gronbach, Thomas; Yaroslavtseva, Larisa
1
2022
An adaptive BDF2 implicit time-stepping method for the phase field crystal model. Zbl 07465510
Liao, Hong-Lin; Ji, Bingquan; Zhang, Luming
1
2022
Stability of Galerkin discretizations of a mixed space-time variational formulation of parabolic evolution equations. Zbl 1461.65242
Stevenson, Rob; Westerdiep, Jan
9
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
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
On strong stability of explicit Runge-Kutta methods for nonlinear semibounded operators. Zbl 1464.65075
Ranocha, Hendrik
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
3
2021
Trace finite element methods for surface vector-Laplace equations. Zbl 1466.65192
Jankuhn, Thomas; Reusken, Arnold
2
2021
\(hp\)-FEM for the fractional heat equation. Zbl 1466.65141
Markus Melenk, Jens; Rieder, Alexander
2
2021
Strong error analysis for stochastic gradient descent optimization algorithms. Zbl 1460.65071
Jentzen, Arnulf; Kuckuck, Benno; Neufeld, Ariel; von Wurstemberger, Philippe
2
2021
Implicit MAC scheme for compressible Navier-Stokes equations: low Mach asymptotic error estimates. Zbl 1460.65108
Maltese, David; Novotný, Antonín
1
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
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
Finite element error analysis of wave equations with dynamic boundary conditions: \(L^2\) estimates. Zbl 1460.65120
Hipp, David; Kovács, Balázs
1
2021
Strong approximation of monotone stochastic partial differential equations driven by white noise. Zbl 1464.65148
Liu, Zhihui; Qiao, Zhonghua
10
2020
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
9
2020
Fully discrete finite element approximation of unsteady flows of implicitly constituted incompressible fluids. Zbl 1464.65131
Süli, Endre; Tscherpel, Tabea
7
2020
Pointwise-in-time error estimates for an optimal control problem with subdiffusion constraint. Zbl 1464.65065
Jin, Bangti; Li, Buyang; Zhou, Zhi
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
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
6
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
6
2020
Stream function formulation of surface Stokes equations. Zbl 1466.65201
Reusken, Arnold
6
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
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
5
2020
Wavenumber explicit convergence analysis for finite element discretizations of general wave propagation problems. Zbl 1465.65130
Chaumont-Frelet, Théophile; Nicaise, S.
5
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
5
2020
Virtual element methods for the obstacle problem. Zbl 1462.65202
Wang, Fei; Wei, Huayi
5
2020
A mass conserving mixed stress formulation for the Stokes equations. Zbl 1466.65189
Gopalakrishnan, Jay; Lederer, Philip L.; Schöberl, Joachim
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
\(\mathscr{K}\)-convergence as a new tool in numerical analysis. Zbl 1465.65045
Feireisl, Eduard; Lukáčová-Medviďová, Mária; Mizerová, Hana
5
2020
Virtual element method for quasilinear elliptic problems. Zbl 1466.65182
Cangiani, A.; Chatzipantelidis, P.; Diwan, G.; Georgoulis, E. H.
5
2020
Petrov-Galerkin space-time \(hp\)-approximation of parabolic equations in \(H^{1/2}\). Zbl 1466.65126
Devaud, Denis
5
2020
Collocation methods for integro-differential algebraic equations with index 1. Zbl 1462.65098
Liang, Hui; Brunner, Hermann
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
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.
4
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
3
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
Simple bespoke preservation of two conservation laws. Zbl 1466.65063
Frasca-Caccia, Gianluca; Hydon, Peter Ellsworth
3
2020
A mixed DG method and an HDG method for incompressible magnetohydrodynamics. Zbl 1466.65200
Qiu, Weifeng; Shi, Ke
3
2020
\(P_1\) finite element methods for an elliptic optimal control problem with pointwise state constraints. Zbl 1464.65061
Brenner, Susanne C.; Sung, Li-yeng; Gedicke, Joscha
3
2020
A multi-level mixed element scheme of the two-dimensional Helmholtz transmission eigenvalue problem. Zbl 1462.65175
Xi, Yingxia; Ji, Xia; Zhang, Shuo
3
2020
Analysis of finite element methods for vector Laplacians on surfaces. Zbl 1466.65190
Hansbo, Peter; Larson, Mats G.; Larsson, Karl
3
2020
Analysis of a new class of rational RBF expansions. Zbl 1465.65014
Buhmann, Martin D.; De Marchi, Stefano; Perracchione, Emma
3
2020
The inf-sup stability of the lowest order Taylor-Hood pair on affine anisotropic meshes. Zbl 1466.65179
Barrenechea, Gabriel R.; Wachtel, Andreas
3
2020
A Lawson-type exponential integrator for the Korteweg-de Vries equation. Zbl 1466.65157
Ostermann, Alexander; Su, Chunmei
3
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
3
2020
Space-time approximation of parabolic systems with variable growth. Zbl 1466.65122
Breit, Dominic; Mensah, Prince Romeo
3
2020
The nonsmooth landscape of phase retrieval. Zbl 1464.65063
Davis, Damek; Drusvyatskiy, Dmitriy; Paquette, Courtney
3
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
3
2020
A lowest-order staggered DG method for the coupled Stokes-Darcy problem. Zbl 1466.65209
Zhao, Lina; Park, Eun-Jae
3
2020
Minimal consistent finite element space for the biharmonic equation on quadrilateral grids. Zbl 1466.65208
Zhang, Shuo
2
2020
Finite element approximation of a strain-limiting elastic model. Zbl 1465.74156
Bonito, Andrea; Girault, Vivette; Süli, Endre
2
2020
Strong order 1/2 convergence of full truncation Euler approximations to the Cox-Ingersoll-Ross process. Zbl 1461.91326
Cozma, Andrei; Reisinger, Christoph
2
2020
Hierarchical B-spline complexes of discrete differential forms. Zbl 1466.65016
Evans, John A.; Scott, Michael A.; Shepherd, Kendrick M.; Thomas, Derek C.; Vázquez Hernández, Rafael
2
2020
Long-time \(L^\infty (L^2)\) a posteriori error estimates for fully discrete parabolic problems. Zbl 1466.65147
Sutton, Oliver J.
2
2020
Range-relaxed criteria for choosing the Lagrange multipliers in nonstationary iterated Tikhonov method. Zbl 1464.65052
Boiger, R.; Leitão, A.; Svaiter, B. F.
2
2020
Error estimates of finite difference schemes for the Korteweg-de Vries equation. Zbl 1462.65103
Courtès, Clémentine; Lagoutière, Frédéric; Rousset, Frédéric
2
2020
Optimal error estimates of the unilateral contact problem in a curved and smooth boundary domain by the penalty method. Zbl 1462.65184
Dione, Ibrahima
2
2020
BPX preconditioners for isogeometric analysis using analysis-suitable T-splines. Zbl 1462.65032
Cho, Durkbin; Vázquez, Rafael
2
2020
Numerical approximation of curve evolutions in Riemannian manifolds. Zbl 1466.65121
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2
2020
Stabilization of high order cut finite element methods on surfaces. Zbl 1466.65195
Larson, Mats G.; Zahedi, Sara
2
2020
Numerical approximation of fractional powers of elliptic operators. Zbl 1466.65184
Duan, Beiping; Lazarov, Raytcho D.; Pasciak, Joseph E.
2
2020
A cell-centred pressure-correction scheme for the compressible Euler equations. Zbl 1467.65089
Herbin, Raphaèle; Latché, Jean-Claude; Zaza, Chady
2
2020
Randomized exponential integrators for modulated nonlinear Schrödinger equations. Zbl 1465.65002
Hofmanová, Martina; Knöller, Marvin; Schratz, Katharina
2
2020
Essential numerical ranges for linear operator pencils. Zbl 1466.15021
Bögli, Sabine; Marletta, Marco
2
2020
Quasi-optimal and pressure-robust discretizations of the Stokes equations by new augmented Lagrangian formulations. Zbl 1466.65193
Kreuzer, Christian; Zanotti, Pietro
2
2020
A Newton method for harmonic mappings in the plane. Zbl 1464.65046
Sète, Olivier; Zur, Jan
2
2020
Improved error estimates for semidiscrete finite element solutions of parabolic Dirichlet boundary control problems. Zbl 1466.65132
Gong, Wei; Li, Buyang
2
2020
Numerical analysis of a time domain elastoacoustic problem. Zbl 1466.65120
Araya, Rodolfo; Rodríguez, Rodolfo; Venegas, Pablo
1
2020
Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary. Zbl 1465.65139
Karátson, János; Kovács, Balázs; Korotov, Sergey
1
2020
A spectral interpolation scheme on the unit sphere based on the nodes of spherical Lissajous curves. Zbl 1462.65019
Erb, Wolfgang
1
2020
A fully mixed finite element method for the coupling of the Stokes and Darcy-Forchheimer problems. Zbl 1465.65123
Almonacid, Javier A.; Díaz, Hugo S.; Gatica, Gabriel N.; Márquez, Antonio
1
2020
On the error estimates of a hybridizable discontinuous Galerkin method for second-order elliptic problem with discontinuous coefficients. Zbl 1465.65131
Chen, Gang; Cui, Jintao
1
2020
Analysis and finite element discretization for optimal control of a linear fluid-structure interaction problem with delay. Zbl 1464.76059
Peralta, Gilbert; Kunisch, Karl
1
2020
Evaluation of Legendre polynomials by a three-term recurrence in floating-point arithmetic. Zbl 1466.65226
Hrycak, Tomasz; Schmutzhard, Sebastian
1
2020
Corrigendum to: “A convergent adaptive finite element method for elliptic Dirichlet boundary control problems”. Zbl 1469.65164
Gong, Wei; Liu, Wenbin; Tan, Zhiyu; Yan, Ningning
1
2020
Sparse tensor product finite element method for nonlinear multiscale variational inequalities of monotone type. Zbl 1466.65203
Tan, Wee Chin; Hoang, Viet Ha
1
2020
On the average condition number of tensor rank decompositions. Zbl 1466.15027
Breiding, Paul; Vannieuwenhoven, Nick
1
2020
Fast Poisson solvers for spectral methods. Zbl 1466.65186
Fortunato, Daniel; Townsend, Alex
1
2020
Fast algorithms for Jacobi expansions via nonoscillatory phase functions. Zbl 1465.65015
Bremer, James; Yang, Haizhao
1
2020
Space-time discontinuous Galerkin methods for the \(\varepsilon\)-dependent stochastic Allen-Cahn equation with mild noise. Zbl 1466.65119
Antonopoulou, Dimitra C.
1
2020
Adaptive finite element methods for sparse PDE-constrained optimization. Zbl 1466.65175
Allendes, A.; Fuica, F.; Otárola, E.
1
2020
Subsampled inexact Newton methods for minimizing large sums of convex functions. Zbl 1466.65041
Bellavia, Stefania; Krejić, Nataša; Krklec Jerinkić, Nataša
1
2020
On the standard Galerkin method with explicit RK4 time stepping for the shallow water equations. Zbl 1466.65118
Antonopoulos, D. C.; Dougalis, V. A.; Kounadis, G.
1
2020
Global rates of convergence for nonconvex optimization on manifolds. Zbl 1483.65092
Boumal, Nicolas; Absil, P.-A.; Cartis, Coralia
19
2019
Strong convergence rates of semidiscrete splitting approximations for the stochastic Allen-Cahn equation. Zbl 07130817
Bréhier, Charles-Edouard; Cui, Jianbo; Hong, Jialin
11
2019
A group of immersed finite-element spaces for elliptic interface problems. Zbl 1483.65184
Guo, Ruchi; Lin, Tao
10
2019
A priori and a posteriori error control of discontinuous Galerkin finite element methods for the von Kármán equations. Zbl 1465.65129
Carstensen, Carsten; Mallik, Gouranga; Nataraj, Neela
9
2019
The formulation and analysis of energy-preserving schemes for solving high-dimensional nonlinear Klein-Gordon equations. Zbl 07130815
Wang, Bin; Wu, Xinyuan
8
2019
Adaptive restart of accelerated gradient methods under local quadratic growth condition. Zbl 07130820
Fercoq, Olivier; Qu, Zheng
8
2019
Explicit numerical approximations for stochastic differential equations in finite and infinite horizons: truncation methods, convergence in \(p\)th moment and stability. Zbl 1461.65007
Li, Xiaoyue; Mao, Xuerong; Yin, George
8
2019
Optimal stencils in Sobolev spaces. Zbl 1483.65170
Davydov, Oleg; Schaback, Robert
7
2019
Error analysis of non inf-sup stable discretizations of the time-dependent Navier-Stokes equations with local projection stabilization. Zbl 07130807
de Frutos, Javier; García-Archilla, Bosco; John, Volker; Novo, Julia
7
2019
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196 Simos, Theodore E.
92 Dehghan Takht Fooladi, Mehdi
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69 Gatica, Gabriel N.
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58 Zhang, Guofeng
51 Huang, Yunqing
50 Li, Jichun
50 Xiang, Shuhuang
48 Carstensen, Carsten
48 Xu, Da
46 Praetorius, Dirk
46 Reichel, Lothar
45 Huang, Chengming
43 Wu, Xinyuan
42 Ern, Alexandre
42 Sayas, Francisco-Javier
41 Iserles, Arieh
40 Chen, Yanping
40 Stynes, Martin
39 Ma, Changfeng
38 Di Pietro, Daniele Antonio
38 Vohralík, Martin
37 Burman, Erik
37 Dai, Yu-Hong
37 Schwab, Christoph
37 Zhang, Chengjian
36 Droniou, Jérôme
36 Wang, Song
35 Eymard, Robert
33 Li, Buyang
33 Pani, Amiya Kumar
33 Ruiz-Baier, Ricardo
33 Zhang, Zhimin
32 Barrett, John W.
31 Bai, Zhongzhi
31 Benner, Peter
31 Chung, Tsz Shun Eric
31 Liang, Zhaozheng
31 Olshanskii, Maxim A.
30 Alolyan, Ibraheem
30 Beirão da Veiga, Lourenço
30 Cockburn, Bernardo
30 Martínez, José Mario
30 Wang, Cheng
30 Zhang, Shangyou
29 Antonietti, Paola Francesca
29 Babaie-Kafaki, Saman
29 Chen, Shaochun
29 He, Xiaoming
29 Heuer, Norbert
29 Mao, Shipeng
29 Nicaise, Serge
29 Oyarzúa, Ricardo
29 Wang, Wansheng
28 Brunner, Hermann
28 Cao, Yang
28 Feng, Xinlong
28 Li, Donghui
28 Mora, David
28 Natesan, Srinivasan
28 Sanz-Serna, Jesús María
28 Toint, Philippe L.
27 Li, Chong
27 Lin, Yanping
27 Melenk, Jens Markus
27 Nelakanti, Gnaneshwar
27 Serra-Capizzano, Stefano
26 Fang, Yonglei
26 Forsyth, Peter A.
26 Guo, Ben-Yu
26 Hansbo, Peter
26 Herbin, Raphaèle
26 Jentzen, Arnulf
26 Larson, Mats G.
26 Liu, Hongwei
26 Manzini, Gianmarco
26 Wu, Yujiang
25 Elliott, Charles M.
25 Ganesh, Mahadevan
25 Kadalbajoo, Mohan K.
25 Karlsen, Kenneth Hvistendahl
25 Wei, Zengxin
25 Wu, Zongmin
24 Ford, Neville J.
24 Georgoulis, Emmanuil H.
24 Gracia, José Luis
24 Harbrecht, Helmut
24 Jin, Bangti
24 Nochetto, Ricardo Horacio
24 Paternoster, Beatrice
24 Yuan, Jinyun
23 Bradji, Abdallah
23 Clavero, Carmelo
23 Führer, Thomas
23 Han, Weimin
23 Huang, Jin
23 Lubich, Christian
23 Süli, Endre E.
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