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: Journal; Indexed cover-to-cover Documents Indexed: 2,099 Publications (since 1981) all top 5 Latest Issues 43, No. 6 (2023) 43, No. 5 (2023) 43, No. 4 (2023) 43, No. 3 (2023) 43, No. 2 (2023) 43, No. 1 (2023) 42, No. 4 (2022) 42, No. 3 (2022) 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) 40, No. 2 (2020) 40, No. 1 (2020) 39, No. 4 (2019) 39, No. 3 (2019) 39, No. 2 (2019) 39, No. 1 (2019) 38, No. 4 (2018) 38, No. 3 (2018) 38, No. 2 (2018) 38, No. 1 (2018) 37, No. 4 (2017) 37, No. 3 (2017) 37, No. 2 (2017) 37, No. 1 (2017) 36, No. 4 (2016) 36, No. 3 (2016) 36, No. 2 (2016) 36, No. 1 (2016) 35, No. 4 (2015) 35, No. 3 (2015) 35, No. 2 (2015) 35, No. 1 (2015) 34, No. 4 (2014) 34, No. 3 (2014) 34, No. 2 (2014) 34, No. 1 (2014) 33, No. 4 (2013) 33, No. 3 (2013) 33, No. 2 (2013) 33, No. 1 (2013) 32, No. 4 (2012) 32, No. 3 (2012) 32, No. 2 (2012) 32, No. 1 (2012) 31, No. 4 (2011) 31, No. 3 (2011) 31, No. 2 (2011) 31, No. 1 (2011) 30, No. 4 (2010) 30, No. 3 (2010) 30, No. 2 (2010) 30, No. 1 (2010) 29, No. 4 (2009) 29, No. 3 (2009) 29, No. 2 (2009) 29, No. 1 (2009) 28, No. 4 (2008) 28, No. 3 (2008) 28, No. 2 (2008) 28, No. 1 (2008) 27, No. 4 (2007) 27, No. 3 (2007) 27, No. 2 (2007) 27, No. 1 (2007) 26, No. 4 (2006) 26, No. 3 (2006) 26, No. 2 (2006) 26, No. 1 (2006) 25, No. 4 (2005) 25, No. 3 (2005) 25, No. 2 (2005) 25, No. 1 (2005) 24, No. 4 (2004) 24, No. 3 (2004) 24, No. 2 (2004) 24, No. 1 (2004) 23, No. 4 (2003) 23, No. 3 (2003) 23, No. 2 (2003) 23, No. 1 (2003) 22, No. 4 (2002) 22, No. 3 (2002) 22, No. 2 (2002) 22, No. 1 (2002) 21, No. 4 (2001) 21, No. 3 (2001) 21, No. 2 (2001) 21, No. 1 (2001) 20, No. 4 (2000) 20, No. 3 (2000) 20, No. 2 (2000) 20, No. 1 (2000) 19, No. 4 (1999) 19, No. 3 (1999) ...and 51 more Volumes all top 5 Authors 26 Barrett, John William 25 Elliott, Charles M. 25 Iserles, Arieh 16 Süli, Endre E. 14 Sanz-Serna, Jesús María 13 Pani, Amiya Kumar 12 Bernardi, Christine 12 Brunner, Hermann 12 Eymard, Robert 12 Lubich, Christian 12 Powell, Michael James David 12 Sloan, Ian Hugh 12 Stynes, Martin Joseph 11 Gatica, Gabriel N. 11 Graham, Ivan G. 11 Li, Buyang 10 Herbin, Raphaèle 10 Kovacs, Balazs A. 10 Melenk, Jens Markus 9 Atkinson, Kendall Eugene 9 Carstensen, Carsten 9 Cockburn, Bernardo 9 Droniou, Jérôme 9 Ern, Alexandre 9 Georgoulis, Emmanuil H. 9 Heuer, Norbert 9 Higham, Nicholas J. 9 Meddahi, Salim 9 Nicaise, Serge 9 Schwab, Christoph 9 Watson, G. Alistair 9 Yuan, Ya-xiang 8 Banjai, Lehel 8 Burman, Erik 8 Higham, Desmond J. 8 Jin, Bangti 8 Nørsett, Syvert Paul 8 Nürnberg, Robert 8 Ostermann, Alexander 8 Prohl, Andreas 8 Rodríguez, Rodolfo 8 Sayas, Francisco-Javier 8 Schötzau, Dominik 8 van der Houwen, Pieter J. 7 Akrivis, Georgios D. 7 Bartels, Sören 7 Fairweather, Graeme 7 García-Archilla, Bosco 7 Garcke, Harald 7 Guzmán, Johnny 7 Hill, Adrian T. 7 Houston, Paul 7 Karlsen, Kenneth Hvistendahl 7 Nataraj, Neela 7 Osborne, Michael Robert 7 Praetorius, Dirk 7 Sauter, Stefan 7 Stevenson, Rob P. 7 Wohlmuth, Barbara I. 6 Ainsworth, Mark 6 Araya, Rodolfo A. 6 Buhmann, Martin Dietrich 6 Chainais-Hillairet, Claire 6 Chandler-Wilde, Simon N. 6 Dai, Yu-Hong 6 Forsyth, Peter A. 6 Gallouët, Thierry 6 Girault, Vivette 6 Grohs, Philipp 6 Hackbusch, Wolfgang 6 Han, Weimin 6 Hong, Jialin 6 Huybrechs, Daan 6 Levin, David N. 6 Maday, Yvon 6 Makridakis, Charalambos G. 6 McKee, Sean 6 Meerbergen, Karl 6 Monegato, Giovanni 6 Moore, Gerald 6 Mora, David 6 Morton, Keith William 6 Mustapha, Kassem 6 Novo, Julia 6 Phillips, Timothy N. 6 Qiu, Weifeng 6 Schöberl, Joachim 6 Sommeijer, Ben P. 6 Tobiska, Lutz 6 Toint, Philippe Louis 6 Tretyakov, Michael V. 6 Wathen, Andrew John 6 Zhang, Zhimin 5 Andreani, Roberto 5 Antil, Harbir 5 Apel, Thomas 5 Bai, Zhongzhi 5 Baker, Christopher Thomas Hale 5 Barrenechea, Gabriel R. 5 Bermúdez, Alfredo ...and 2,518 more Authors all top 5 Fields 1,943 Numerical analysis (65-XX) 690 Partial differential equations (35-XX) 233 Fluid mechanics (76-XX) 187 Ordinary differential equations (34-XX) 151 Approximations and expansions (41-XX) 110 Integral equations (45-XX) 98 Operations research, mathematical programming (90-XX) 94 Mechanics of deformable solids (74-XX) 69 Probability theory and stochastic processes (60-XX) 66 Calculus of variations and optimal control; optimization (49-XX) 56 Linear and multilinear algebra; matrix theory (15-XX) 53 Optics, electromagnetic theory (78-XX) 47 Operator theory (47-XX) 42 Dynamical systems and ergodic theory (37-XX) 33 Classical thermodynamics, heat transfer (80-XX) 31 Statistical mechanics, structure of matter (82-XX) 26 Harmonic analysis on Euclidean spaces (42-XX) 25 Functions of a complex variable (30-XX) 21 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 20 Real functions (26-XX) 20 Biology and other natural sciences (92-XX) 19 Special functions (33-XX) 18 Quantum theory (81-XX) 16 Potential theory (31-XX) 15 Global analysis, analysis on manifolds (58-XX) 14 Statistics (62-XX) 13 Computer science (68-XX) 11 Integral transforms, operational calculus (44-XX) 10 Differential geometry (53-XX) 9 Systems theory; control (93-XX) 8 Mechanics of particles and systems (70-XX) 8 Information and communication theory, circuits (94-XX) 7 Geophysics (86-XX) 6 Topological groups, Lie groups (22-XX) 5 Combinatorics (05-XX) 5 Functional analysis (46-XX) 5 Astronomy and astrophysics (85-XX) 4 History and biography (01-XX) 4 Number theory (11-XX) 4 Sequences, series, summability (40-XX) 3 Difference and functional equations (39-XX) 3 Abstract harmonic analysis (43-XX) 2 Algebraic geometry (14-XX) 2 Group theory and generalizations (20-XX) 2 Relativity and gravitational theory (83-XX) 1 Field theory and polynomials (12-XX) 1 Measure and integration (28-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,876 Publications have been cited 28,906 times in 20,776 Documents Cited by ▼ Year ▼ Two-point step size gradient methods. Zbl 0638.65055 Barzilai, Jonathan; Borwein, Jonathan M. 739 1988 Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems. Zbl 1134.65022 Bai, Zhongzhi; Golub, Gene H. 293 2007 A descent modified Polak-Ribière-Polyak conjugate gradient method and its global convergence. Zbl 1106.65056 Zhang, Li; Zhou, Weijun; Li, Donghui 230 2006 Families of Runge-Kutta-Nyström formulae. Zbl 0624.65059 Dormand, J. R.; El-Mikkawy, M. E. A.; Prince, P. J. 194 1987 Local error estimates for radial basis function interpolation of scattered data. Zbl 0762.41006 Wu, Zong-Min; Schaback, Robert 192 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. 188 2010 Descent property and global convergence of the Fletcher-Reeves method with inexact line search. Zbl 0578.65063 Al-Baali, M. 187 1985 An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data. Zbl 1336.65150 Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 186 2016 Computing the nearest correlation matrix – a problem from finance. Zbl 1006.65036 Higham, Nicholas J. 172 2002 On the Barzilai and Borwein choice of steplength for the gradient method. Zbl 0778.65045 Raydan, Marcos 167 1993 Finite elements on evolving surfaces. Zbl 1120.65102 Dziuk, G.; Elliott, C. M. 162 2007 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 153 2013 Conforming and nonconforming virtual element methods for elliptic problems. Zbl 1433.65282 Cangiani, Andrea; Manzini, Gianmarco; Sutton, Oliver J. 152 2017 Superconvergence and extrapolation of non-conforming low order finite elements applied to the Poisson equation. Zbl 1068.65122 Lin, Qun; Tobiska, Lutz; Zhou, Aihui 143 2005 \(R\)-linear convergence of the Barzilai and Borwein gradient method. Zbl 1002.65069 Dai, Yuhong; Liao, Li-Zhi 142 2002 A new approach to variable selection in least squares problems. Zbl 0962.65036 Osborne, M. R.; Presnell, Brett; Turlach, B. A. 136 2000 \(P\)-stability and exponential-fitting methods for \(y''=f(x,y)\). Zbl 0847.65052 Coleman, John P.; Ixaru, Liviu Gr. 133 1996 Numerical methods for \(y''=f(x,y)\) via rational approximations for the cosine. Zbl 0675.65072 Coleman, John P. 130 1989 On generalized moving least squares and diffuse derivatives. Zbl 1252.65037 Mirzaei, Davoud; Schaback, Robert; Dehghan, Mehdi 123 2012 Block preconditioning of real-valued iterative algorithms for complex linear systems. Zbl 1145.65022 Benzi, Michele; Bertaccini, Daniele 122 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 122 2002 Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations. Zbl 1312.76061 He, Yinnian 121 2015 The numerical computation of connecting orbits in dynamical systems. Zbl 0706.65080 Beyn, W.-J. 115 1990 The numerical stability of barycentric Lagrange interpolation. Zbl 1067.65016 Higham, Nicholas J. 111 2004 Robust numerical methods for contingent claims under jump diffusion processes. Zbl 1134.91405 D’Halluin, Y.; Forsyth, P. A.; Vetzal, K. R. 106 2005 Moment-free numerical integration of highly oscillatory functions. Zbl 1106.65021 Olver, Sheehan 105 2006 Numerical solution of the stable, non-negative definite Lyapunov equation. Zbl 0492.65017 Hammarling, S. J. 104 1982 Convergence rates for sparse chaos approximations of elliptic problems with stochastic coefficients. Zbl 1120.65004 Todor, Radu Alexandru; Schwab, Christoph 100 2007 A novel fitted finite volume method for the Black-Scholes equation governing option pricing. Zbl 1147.91332 Wang, Song 99 2004 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. 95 2016 Finite difference discretization of the cubic Schrödinger equation. Zbl 0762.65070 Akrivis, Georgios D. 93 1993 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 92 2009 A virtual element method with arbitrary regularity. Zbl 1293.65146 Beirão da Veiga, Lourenco; Manzini, Gianmarco 90 2014 Fitted and unfitted finite-element methods for elliptic equations with smooth interfaces. Zbl 0629.65118 Barrett, John W.; Elliott, Charles M. 88 1987 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 86 2009 Stability of Runge-Kutta methods for trajectory problems. Zbl 0624.65057 Cooper, G. J. 86 1987 Restrictively preconditioned conjugate gradient methods for systems of linear equations. Zbl 1046.65018 Bai, Zhongzhi; Li, Guiqing 85 2003 Approximation of the global attractor for the incompressible Navier-Stokes equations. Zbl 0982.76022 Hill, Adrian T.; Süli, Endre 84 2000 Inexact spectral projected gradient methods on convex sets. Zbl 1047.65042 Birgin, Ernesto G.; Martínez, José Mario; Raydan, Marcos 84 2003 On convergence rates for the iteratively regularized Gauss-Newton method. Zbl 0881.65050 Blaschke, Barbara; Neubauer, Andreas; Scherzer, Otmar 83 1997 Convergence of Newton’s method and uniqueness of the solution of equations in Banach space. Zbl 0942.65057 Wang, Xinghua 79 2000 Realistic eigenvalue bounds for the Galerkin mass matrix. Zbl 0648.65076 Wathen, A. J. 77 1987 Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion. Zbl 1321.65142 Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi 77 2015 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. 76 1981 Conservative and nonconservative schemes for the solution of the nonlinear Schrödinger equation. Zbl 0593.65087 Sanz-Serna, J. M.; Verwer, J. G. 75 1986 A class of derivative-free methods for large-scale nonlinear monotone equations. Zbl 1241.65047 Li, Qingna; Li, Dong-Hui 74 2011 Block-diagonal preconditioning for spectral stochastic finite-element systems. Zbl 1169.65007 Powell, Catherine E.; Elman, Howard C. 74 2009 Toeplitz preconditioners for Toeplitz systems with nonnegative generating functions. Zbl 0737.65022 Chan, Raymond H. 73 1991 Newton’s method on Riemannian manifolds: Covariant alpha theory. Zbl 1047.65037 Dedieu, Jean-Pierre; Priouret, Pierre; Malajovich, Gregorio 72 2003 A mixed virtual element method for the pseudostress-velocity formulation of the Stokes problem. Zbl 1433.76071 Cáceres, Ernesto; Gatica, Gabriel N. 72 2017 Clenshaw-Curtis-Filon-type methods for highly oscillatory Bessel transforms and applications. Zbl 1232.65047 Xiang, Shuhuang; Cho, Yeol Je; Wang, Haiyong; Brunner, Hermann 71 2011 The stability of the \(\theta\)-methods in the numerical solution of delay differential equations. Zbl 0693.65056 Liu, M. Z.; Spijker, M. N. 71 1990 A new weak Galerkin finite element method for the Helmholtz equation. Zbl 1323.65116 Mu, Lin; Wang, Junping; Ye, Xiu 70 2015 The cyclic Barzilai-Borwein method for unconstrained optimization. Zbl 1147.65315 Dai, Yuhong; Hager, William W.; Schittkowski, Klaus; Zhang, Hongchao 69 2006 A modified BFGS algorithm for unconstrained optimization. Zbl 0733.65039 Yuan, Yaxiang 69 1991 Order conditions for a class of two-step methods for \(y''=f(x,y)\). Zbl 1022.65080 Coleman, John P. 68 2003 On the stability of linear multistep methods for Volterra convolution equations. Zbl 0543.65095 Lubich, Ch. 67 1983 A uniformly convergent numerical method for a coupled system of two singularly perturbed linear reaction-diffusion problems. Zbl 1048.65076 Madden, Niall; Stynes, Martin 67 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. 65 2006 Well-posedness of \(hp\)-version discontinuous Galerkin methods for fractional diffusion wave equations. Zbl 1310.65128 Mustapha, Kassem; Schötzau, Dominik 65 2014 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. 65 2002 High-order embedded Runge-Kutta-Nyström formulae. Zbl 0627.65085 Dormand, J. R.; El-Mikkawy, M. E. A.; Prince, P. J. 64 1987 The computation of averages from equilibrium and nonequilibrium Langevin molecular dynamics. Zbl 1347.65014 Leimkuhler, Benedict; Matthews, Charles; Stoltz, Gabriel 63 2016 Global convergence of a class of trust-region methods for nonconvex minimization in Hilbert space. Zbl 0698.65043 Toint, Ph. L. 62 1988 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 62 2003 Conforming and divergence-free Stokes elements in three dimensions. Zbl 1305.76056 Guzmán, Johnny; Neilan, Michael 61 2014 Stability and error estimates for Filon-Clenshaw-Curtis rules for highly oscillatory integrals. Zbl 1231.65060 Domínguez, V.; Graham, I. G.; Smyshlyaev, V. P. 60 2011 Anisotropic interpolation and quasi-Wilson element for narrow quadrilateral meshes. Zbl 1049.65129 Chen, Shaochun; Shi, Dongyang; Zhao, Yongcheng 60 2004 On the numerical quadrature of highly-oscillating integrals. I: Fourier transforms. Zbl 1061.65149 Iserles, Arieh 60 2004 Local polynomial reproduction and moving least squares approximation. Zbl 0976.65013 Wendland, Holger 58 2001 Stability analysis of Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations. Zbl 1057.65104 Zhang, Chengjian; Vandewalle, Stefan 58 2004 A note on collocation methods for Volterra integro-differential equations with weakly singular kernels. Zbl 0765.65126 Tang, Tao 58 1993 Matrix completion via an alternating direction method. Zbl 1236.65043 Chen, Caihua; He, Bingsheng; Yuan, Xiaoming 57 2012 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. 57 1998 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 57 2014 A hybrid mixed discontinuous Galerkin finite-element method for convection-diffusion problems. Zbl 1204.65133 Egger, Herbert; Schöberl, Joachim 57 2010 Solving linear partial differential equations by exponential splitting. Zbl 0676.65116 Sheng, Q. 56 1989 A fourth algebraic order exponentially-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation. Zbl 0990.65079 Simos, T. E. 56 2001 Numerical solvability of Hammerstein integral equations of mixed type. Zbl 0719.65093 Ganesh, M.; Joshi, M. C. 56 1991 An implicit finite-difference time-stepping method for a sub-diffusion equation, with spatial discretization by finite elements. Zbl 1219.65091 Mustapha, Kassem 56 2011 Numerical convergence properties of option pricing PDEs with uncertain volatility. Zbl 1040.91053 Pooley, D. M.; Forsyth, P. A.; Vetzal, K. R. 56 2003 Stochastic exponential integrators for the finite element discretization of SPDEs for multiplicative and additive noise. Zbl 1272.65010 Lord, Gabriel J.; Tambue, Antoine 56 2013 Centred TVD schemes for hyperbolic conservation laws. Zbl 0943.65100 Toro, E. F.; Billet, S. J. 55 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 55 2015 \(H^1\)-Galerkin mixed finite element methods for parabolic partial integro-differential equations. Zbl 1008.65101 Pani, Amiya K.; Fairweather, Graeme 55 2002 Weak Galerkin method for the coupled Darcy-Stokes flow. Zbl 1433.76075 Chen, Wenbin; Wang, Fang; Wang, Yanqiu 55 2016 Finite element analysis for a coupled bulk-surface partial differential equation. Zbl 1271.65138 Elliott, Charles M.; Ranner, Thomas 55 2013 The Galerkin method for integral equations of the first kind with logarithmic kernel: Theory. Zbl 0636.65143 Sloan, I. H.; Spence, A. 54 1988 Compact embeddings of broken Sobolev spaces and applications. Zbl 1181.65094 Buffa, Annalisa; Ortner, Christoph 54 2009 Conservative upwind finite-element method for a simplified Keller-Segel system modelling chemotaxis. Zbl 1119.65094 Saito, Norikazu 53 2007 The calculation of Hopf points by a direct method. Zbl 0521.65070 Griewank, A.; Reddien, G. 53 1983 Linearly implicit time discretization of nonlinear parabolic equations. Zbl 0834.65092 Lubich, Ch.; Ostermann, A. 53 1995 Convergence properties of the Fletcher-Reeves method. Zbl 0851.65049 Dai, Y. H.; Yuan, Y. 53 1996 A second elasticity element using the matrix bubble. Zbl 1232.74101 Gopalakrishnan, J.; Guzmán, J. 53 2012 Discontinuous Galerkin methods for the biharmonic problem. Zbl 1176.65134 Georgoulis, Emmanuil H.; Houston, Paul 53 2009 Newton’s method on Riemannian manifolds: Smale’s point estimate theory under the \(\gamma\)-condition. Zbl 1094.65052 Li, Chong; Wang, Jinhua 52 2006 Linearization of matrix polynomials expressed in polynomial bases. Zbl 1158.15022 Amiraslani, A.; Corless, R. M.; Lancaster, P. 52 2009 \(\varepsilon\)-uniform schemes with high-order time-accuracy for parabolic singular perturbation problems. Zbl 0942.65095 Hemker, P. W.; Shishkin, G. I.; Shishkina, L. P. 51 2000 The numerical evaluation of particular solutions for Poisson’s equation. Zbl 0576.65114 Atkinson, K. E. 51 1985 The discrete collocation method for nonlinear integral equations. Zbl 0771.65090 Atkinson, K.; Flores, J. 51 1993 Estimates on the generalization error of physics-informed neural networks for approximating PDEs. Zbl 07658042 Mishra, Siddhartha; Molinaro, Roberto 11 2023 Interpolation and stability properties of low-order face and edge virtual element spaces. Zbl 07673874 Beirão da Veiga, L.; Mascotto, L. 9 2023 Convergence of Lagrange finite elements for the Maxwell eigenvalue problem in two dimensions. Zbl 07673870 Boffi, Daniele; Guzmán, Johnny; Neilan, Michael 4 2023 Stabilization parameter analysis of a second-order linear numerical scheme for the nonlocal Cahn-Hilliard equation. Zbl 07673883 Li, Xiao; Qiao, Zhonghua; Wang, Cheng 4 2023 Approximation of fractional harmonic maps. Zbl 07726034 Antil, Harbir; Bartels, Sören; Schikorra, Armin 3 2023 Tangential errors of tensor surface finite elements. Zbl 07726042 Hardering, Hanne; Praetorius, Simon 3 2023 Construction and application of provable positive and exact cubature formulas. Zbl 07726044 Glaubitz, Jan 3 2023 Mixed precision low-rank approximations and their application to block low-rank LU factorization. Zbl 1525.65038 Amestoy, Patrick; Boiteau, Olivier; Buttari, Alfredo; Gerest, Matthieu; Jézéquel, Fabienne; L’Excellent, Jean-Yves; Mary, Theo 3 2023 Fast mass lumped multiscale wave propagation modelling. Zbl 07658043 Geevers, Sjoerd; Maier, Roland 3 2023 Sharp stability for finite difference approximations of hyperbolic equations with boundary conditions. Zbl 1509.65070 Coulombel, Jean-François; Faye, Grégory 3 2023 A proximal bundle algorithm for nonsmooth optimization on Riemannian manifolds. Zbl 1508.65065 Hoseini Monjezi, Najmeh; Nobakhtian, Soghra; Pouryayevali, Mohamad Reza 3 2023 Regularizing linear inverse problems under unknown non-Gaussian white noise allowing repeated measurements. Zbl 1508.65057 Harrach, Bastian; Jahn, Tim; Potthast, Roland 3 2023 Solving time-fractional differential equations via rational approximation. Zbl 07726033 Khristenko, Ustim; Wohlmuth, Barbara 2 2023 Effects of round-to-nearest and stochastic rounding in the numerical solution of the heat equation in low precision. Zbl 07726036 Croci, M.; Giles, M. B. 2 2023 Positivity-preserving and energy-dissipative finite difference schemes for the Fokker-Planck and Keller-Segel equations. Zbl 07726039 Hu, Jingwei; Zhang, Xiangxiong 2 2023 Mixed virtual element method for the Helmholtz transmission eigenvalue problem on polytopal meshes. Zbl 07726046 Meng, Jian; Wang, Gang; Mei, Liquan 2 2023 Complexity of sparse polynomial solving. II: Renormalization. Zbl 1522.65074 Malajovich, Gregorio 2 2023 Optimal rates of convergence and error localization of Gegenbauer projections. Zbl 1525.65015 Wang, Haiyong 2 2023 Uniform convergence rates for Lipschitz learning on graphs. Zbl 07726068 Bungert, Leon; Calder, Jeff; Roith, Tim 2 2023 Long time behavior of finite volume discretization of symmetrizable linear hyperbolic systems. Zbl 1521.65082 Jung, Jonathan; Perrier, Vincent 2 2023 A discrete boundedness-by-entropy method for finite-volume approximations of cross-diffusion systems. Zbl 1511.65092 Jüngel, Ansgar; Zurek, Antoine 2 2023 From ESPRIT to ESPIRA: estimation of signal parameters by iterative rational approximation. Zbl 07673873 Derevianko, Nadiia; Plonka, Gerlind; Petz, Markus 2 2023 Bulk-surface Lie splitting for parabolic problems with dynamic boundary conditions. Zbl 07673878 Altmann, Robert; Kovács, Balázs; Zimmer, Christoph 2 2023 Strong convergence of Euler-Maruyama schemes for McKean-Vlasov stochastic differential equations under local Lipschitz conditions of state variables. Zbl 1527.65005 Li, Yun; Mao, Xuerong; Song, Qingshuo; Wu, Fuke; Yin, George 2 2023 Exact and inexact Douglas-Rachford splitting methods for solving large-scale sparse absolute value equations. Zbl 1518.65049 Chen, Cairong; Yu, Dongmei; Han, Deren 2 2023 A constructive low-regularity integrator for the one-dimensional cubic nonlinear Schrödinger equation under Neumann boundary condition. Zbl 07800834 Bai, Genming; Li, Buyang; Wu, Yifei 2 2023 Approximation of SPDE covariance operators by finite elements: a semigroup approach. Zbl 1521.65010 Kovács, Mihály; Lang, Annika; Petersson, Andreas 1 2023 Error estimates for the numerical approximation of optimal control problems with nonsmooth pointwise-integral control constraints. Zbl 07726040 Casas, Eduardo; Kunisch, Karl; Mateos, Mariano 1 2023 Fast global spectral methods for three-dimensional partial differential equations. Zbl 07726041 Strössner, Christoph; Kressner, Daniel 1 2023 A manifold inexact augmented Lagrangian method for nonsmooth optimization on Riemannian submanifolds in Euclidean space. Zbl 07726045 Deng, Kangkang; Peng, Zheng 1 2023 A \(C^0\) finite element method for the biharmonic problem with Navier boundary conditions in a polygonal domain. Zbl 07726049 Li, Hengguang; Yin, Peimeng; Zhang, Zhimin 1 2023 Solvability of discrete Helmholtz equations. Zbl 07726050 Bernkopf, Maximilian; Sauter, Stefan; Torres, Céline; Veit, Alexander 1 2023 Inexact Newton-CG algorithms with complexity guarantees. Zbl 1525.65056 Yao, Zhewei; Xu, Peng; Roosta, Fred; Wright, Stephen J.; Mahoney, Michael W. 1 2023 Overlapping Schwarz methods with GenEO coarse spaces for indefinite and nonself-adjoint problems. Zbl 07726053 Bootland, Niall; Dolean, Victorita; Graham, Ivan G.; Ma, Chupeng; Scheichl, Robert 1 2023 Multilevel representations of isotropic Gaussian random fields on the sphere. Zbl 07726055 Bachmayr, Markus; Djurdjevac, Ana 1 2023 A second-order accurate numerical scheme for a time-fractional Fokker-Planck equation. Zbl 07726057 Mustapha, Kassem; Knio, Omar M.; Le Maître, Olivier P. 1 2023 On convergence of numerical solutions for the compressible MHD system with weakly divergence-free magnetic field. Zbl 07726059 Li, Yang; She, Bangwei 1 2023 Randomized sparse grid algorithms for multivariate integration on Haar wavelet spaces. Zbl 1508.65016 Wnuk, M.; Gnewuch, M. 1 2023 A consistent quasi-second-order staggered scheme for the two-dimensional shallow water equations. Zbl 1511.65091 Herbin, Raphaèle; Latché, Jean-Claude; Nasseri, Youssouf; Therme, Nicolas 1 2023 A discontinuous Galerkin coupling for nonlinear elasto-acoustics. Zbl 1512.65215 Muhr, Markus; Wohlmuth, Barbara; Nikolić, Vanja 1 2023 On the approximation of dispersive electromagnetic eigenvalue problems in two dimensions. Zbl 07658057 Halla, Martin 1 2023 Convergence of the EBT method for a non-local model of cell proliferation with discontinuous interaction kernel. Zbl 1511.92023 Gwiazda, Piotr; Miasojedow, Błażej; Skrzeczkowski, Jakub; Szymańska, Zuzanna 1 2023 Numerical analysis of the LDG method for large deformations of prestrained plates. Zbl 07673869 Bonito, Andrea; Guignard, Diane; Nochetto, Ricardo H.; Yang, Shuo 1 2023 Multiple projection Markov chain Monte Carlo algorithms on submanifolds. Zbl 07673872 Lelièvre, Tony; Stoltz, Gabriel; Zhang, Wei 1 2023 Fully discrete best-approximation-type estimates in \(L^\infty(I; L^2(\Omega)^d)\) for finite element discretizations of the transient Stokes equations. Zbl 07673875 Behringer, Niklas; Vexler, Boris; Leykekhman, Dmitriy 1 2023 Adaptive regularization minimization algorithms with nonsmooth norms. Zbl 07673877 Gratton, S.; Toint, Ph L. 1 2023 Numerical solution of an \(\boldsymbol{H}(\mathbf{curl})\)-elliptic hemivariational inequality. Zbl 07673879 Han, Weimin; Ling, Min; Wang, Fei 1 2023 Two-point Landweber-type method with convex penalty terms for nonsmooth nonlinear inverse problems. 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Zbl 1481.65020 dos Reis, Gonçalo; Engelhardt, Stefan; Smith, Greig 19 2022 Conforming and nonconforming VEMs for the fourth-order reaction-subdiffusion equation: a unified framework. Zbl 1502.65130 Li, Meng; Zhao, Jikun; Huang, Chengming; Chen, Shaochun 16 2022 Automatic rational approximation and linearization of nonlinear eigenvalue problems. Zbl 1514.65063 Lietaert, Pieter; Meerbergen, Karl; Pérez, Javier; Vandereycken, Bart 15 2022 The time-fractional Cahn-Hilliard equation: analysis and approximation. Zbl 1497.65158 Al-Maskari, Mariam; Karaa, Samir 12 2022 Divergence-preserving reconstructions on polygons and a really pressure-robust virtual element method for the Stokes problem. Zbl 1523.65093 Frerichs, Derk; Merdon, Christian 11 2022 Uniform error estimates for artificial neural network approximations for heat equations. 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Zbl 1523.65088 Monk, Peter; Zhang, Yangwen 3 2022 ...and 1692 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 18,977 Authors 213 Simos, Theodore E. 110 Dehghan Takht Fooladi, Mehdi 102 Shi, Dongyang 87 Gatica, Gabriel N. 76 He, Yinnian 71 Huang, Yunqing 64 Argyros, Ioannis Konstantinos 59 Xu, Da 59 Zhang, Guofeng 58 Carstensen, Carsten 57 Li, Jichun 57 Xiang, Shuhuang 57 Zhang, Zhimin 56 Praetorius, Dirk 55 Reichel, Lothar 54 Chen, Yanping 53 Huang, Chengming 52 Ruiz-Baier, Ricardo 51 Stynes, Martin Joseph 49 Wu, Xinyuan 48 Burman, Erik 48 Ern, Alexandre 47 Di Pietro, Daniele Antonio 46 Li, Buyang 44 Droniou, Jérôme 44 Sayas, Francisco-Javier 44 Vohralík, Martin 43 Feng, Xinlong 43 Schwab, Christoph 43 Wang, Song 42 Iserles, Arieh 42 Ma, Changfeng 42 Mora, David 41 Babaie-Kafaki, Saman 41 Beirão da Veiga, Lourenço 41 Dai, Yu-Hong 41 Melenk, Jens Markus 41 Zhang, Shangyou 40 Pani, Amiya Kumar 40 Zhang, Chengjian 39 Eymard, Robert 39 Manzini, Gianmarco 38 Antonietti, Paola Francesca 38 Jentzen, Arnulf 38 Oyarzúa, Ricardo 38 Wang, Cheng 37 He, Xiaoming 37 Olshanskii, Maxim A. 37 Wang, Wansheng 36 Chung, Tsz Shun Eric 36 Heuer, Norbert 36 Mao, Shipeng 35 Li, Meng 34 Garcke, Harald 33 Barrett, John William 33 Benner, Peter 33 Chen, Shaochun 33 Martínez, José Mario 33 Nelakanti, Gnaneshwar 33 Nicaise, Serge 33 Wang, Hong 32 Bai, Zhongzhi 32 Cockburn, Bernardo 32 Führer, Thomas 32 Larson, Mats G. 32 Liang, Zhaozheng 32 Toint, Philippe Louis 31 Nochetto, Ricardo Horacio 31 Zhao, Jingjun 30 Alolyan, Ibraheem 30 Georgoulis, Emmanuil H. 30 Kumam, Poom 30 Lin, Yanping 30 Otárola, Enrique 30 Sanz-Serna, Jesús María 30 Wu, Yujiang 29 Bradji, Abdallah 29 Elliott, Charles M. 29 Han, Weimin 29 Hansbo, Peter 29 Herbin, Raphaèle 29 Li, Donghui 29 Xie, Xiaoping 29 Xu, Yang 29 Yang, Yidu 29 Yuan, Gonglin 29 Zhang, Tong 28 Bi, Hai 28 Brunner, Hermann 28 Gracia, José Luis 28 Meddahi, Salim 28 Nataraj, Neela 28 Nürnberg, Robert 28 Qiu, Weifeng 28 Stevenson, Rob P. 28 Verani, Marco 27 Abbaszadeh, Mostafa 27 Clavero, Carmelo 27 Forsyth, Peter A. 27 George, Santhosh ...and 18,877 more Authors all top 5 Cited in 755 Journals 1,552 Journal of Computational and Applied Mathematics 954 Applied Mathematics and Computation 907 Computers & Mathematics with Applications 840 Applied Numerical Mathematics 779 Journal of Scientific Computing 733 Journal of Computational Physics 600 Computer Methods in Applied Mechanics and Engineering 580 Numerical Algorithms 551 Numerische Mathematik 488 Mathematics of Computation 443 SIAM Journal on Scientific Computing 423 SIAM Journal on Numerical Analysis 392 International Journal of Computer Mathematics 312 Numerical Methods for Partial Differential Equations 301 BIT 295 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 283 Advances in Computational Mathematics 212 Calcolo 207 Computational and Applied Mathematics 206 Linear Algebra and its Applications 200 Computational Optimization and Applications 170 Applied Mathematics Letters 165 Journal of Mathematical Analysis and Applications 164 Engineering Analysis with Boundary Elements 160 Journal of Optimization Theory and Applications 159 Journal of Mathematical Chemistry 145 Mathematics and Computers in Simulation 142 Computational Methods in Applied Mathematics 126 Optimization Methods & Software 124 M\(^3\)AS. 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