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: 2,063 Publications (since 1981) all top 5 Latest Issues 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) 19, No. 2 (1999) 19, No. 1 (1999) ...and 49 more Volumes all top 5 Authors 26 Barrett, John William 25 Elliott, Charles M. 24 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. 10 Herbin, Raphaèle 10 Li, Buyang 9 Atkinson, Kendall Eugene 9 Carstensen, Carsten 9 Cockburn, Bernardo 9 Droniou, Jérôme 9 Ern, Alexandre 9 Heuer, Norbert 9 Higham, Nicholas J. 9 Kovács, Balázs 9 Meddahi, Salim 9 Melenk, Jens Markus 9 Nicaise, Serge 9 Watson, G. Alistair 9 Yuan, Ya-xiang 8 Burman, Erik 8 Georgoulis, Emmanuil H. 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 Schwab, Christoph 8 van der Houwen, Pieter J. 7 Akrivis, Georgios D. 7 Banjai, Lehel 7 Bartels, Sören 7 Fairweather, Graeme 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. 6 Ainsworth, Mark 6 Araya, Rodolfo A. 6 Barrenechea, Gabriel R. 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 García-Archilla, Bosco 6 Girault, Vivette 6 Grohs, Philipp 6 Hackbusch, Wolfgang 6 Han, Weimin 6 Huybrechs, Daan 6 Levin, David N. 6 Maday, Yvon 6 McKee, Sean 6 Meerbergen, Karl 6 Moore, Gerald 6 Mora, David 6 Morton, Keith William 6 Mustapha, Kassem 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 Wohlmuth, Barbara I. 5 Andreani, Roberto 5 Antil, Harbir 5 Apel, Thomas 5 Bai, Zhongzhi 5 Baker, Christopher Thomas Hale 5 Bermúdez, Alfredo 5 Blowey, James F. 5 Burrage, Kevin 5 Cooper, Gavin J. 5 Cox, Maurice G. 5 Curtis, Frank E. ...and 2,474 more Authors all top 5 Fields 1,910 Numerical analysis (65-XX) 679 Partial differential equations (35-XX) 226 Fluid mechanics (76-XX) 187 Ordinary differential equations (34-XX) 145 Approximations and expansions (41-XX) 110 Integral equations (45-XX) 96 Operations research, mathematical programming (90-XX) 91 Mechanics of deformable solids (74-XX) 69 Probability theory and stochastic processes (60-XX) 64 Calculus of variations and optimal control; optimization (49-XX) 56 Linear and multilinear algebra; matrix theory (15-XX) 53 Optics, electromagnetic theory (78-XX) 44 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) 25 Functions of a complex variable (30-XX) 25 Harmonic analysis on Euclidean spaces (42-XX) 20 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 19 Special functions (33-XX) 19 Biology and other natural sciences (92-XX) 18 Real functions (26-XX) 18 Quantum theory (81-XX) 16 Potential theory (31-XX) 15 Global analysis, analysis on manifolds (58-XX) 14 Statistics (62-XX) 11 Integral transforms, operational calculus (44-XX) 11 Computer science (68-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,831 Publications have been cited 27,224 times in 19,660 Documents Cited by ▼ Year ▼ Two-point step size gradient methods. Zbl 0638.65055Barzilai, Jonathan; Borwein, Jonathan M. 706 1988 Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems. Zbl 1134.65022Bai, Zhongzhi; Golub, Gene H. 287 2007 A descent modified Polak-Ribière-Polyak conjugate gradient method and its global convergence. Zbl 1106.65056Zhang, Li; Zhou, Weijun; Li, Donghui 226 2006 Local error estimates for radial basis function interpolation of scattered data. Zbl 0762.41006Wu, Zong-Min; Schaback, Robert 189 1993 Families of Runge-Kutta-Nyström formulae. Zbl 0624.65059Dormand, J. R.; El-Mikkawy, M. E. A.; Prince, P. J. 188 1987 Descent property and global convergence of the Fletcher-Reeves method with inexact line search. Zbl 0578.65063Al-Baali, M. 183 1985 Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: A scheme using stabilization and hybrid interfaces. Zbl 1202.65144Eymard, R.; Gallouët, T.; Herbin, R. 173 2010 Computing the nearest correlation matrix – a problem from finance. Zbl 1006.65036Higham, Nicholas J. 172 2002 An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data. Zbl 1336.65150Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 167 2016 On the Barzilai and Borwein choice of steplength for the gradient method. Zbl 0778.65045Raydan, Marcos 165 1993 Finite elements on evolving surfaces. Zbl 1120.65102Dziuk, G.; Elliott, C. M. 155 2007 Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems. Zbl 1271.65100Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang; Wang, Zeng-Qi 149 2013 \(R\)-linear convergence of the Barzilai and Borwein gradient method. Zbl 1002.65069Dai, Yuhong; Liao, Li-Zhi 140 2002 A new approach to variable selection in least squares problems. Zbl 0962.65036Osborne, M. R.; Presnell, Brett; Turlach, B. A. 134 2000 Superconvergence and extrapolation of non-conforming low order finite elements applied to the Poisson equation. Zbl 1068.65122Lin, Qun; Tobiska, Lutz; Zhou, Aihui 134 2005 \(P\)-stability and exponential-fitting methods for \(y''=f(x,y)\). Zbl 0847.65052Coleman, John P.; Ixaru, Liviu Gr. 132 1996 Conforming and nonconforming virtual element methods for elliptic problems. Zbl 1433.65282Cangiani, Andrea; Manzini, Gianmarco; Sutton, Oliver J. 129 2017 Numerical methods for \(y''=f(x,y)\) via rational approximations for the cosine. Zbl 0675.65072Coleman, John P. 129 1989 Block preconditioning of real-valued iterative algorithms for complex linear systems. Zbl 1145.65022Benzi, Michele; Bertaccini, Daniele 120 2008 On generalized moving least squares and diffuse derivatives. Zbl 1252.65037Mirzaei, Davoud; Schaback, Robert; Dehghan, Mehdi 119 2012 Newton’s method on Riemannian manifolds and a geometric model for the human spine. Zbl 1056.92002Adler, Roy L.; Dedieu, Jean-Pierre; Margulies, Joseph Y.; Martens, Marco; Shub, Mike 114 2002 The numerical computation of connecting orbits in dynamical systems. Zbl 0706.65080Beyn, W.-J. 112 1990 The numerical stability of barycentric Lagrange interpolation. Zbl 1067.65016Higham, Nicholas J. 106 2004 Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations. Zbl 1312.76061He, Yinnian 105 2015 Moment-free numerical integration of highly oscillatory functions. Zbl 1106.65021Olver, Sheehan 103 2006 Robust numerical methods for contingent claims under jump diffusion processes. Zbl 1134.91405D’Halluin, Y.; Forsyth, P. A.; Vetzal, K. R. 102 2005 Numerical solution of the stable, non-negative definite Lyapunov equation. Zbl 0492.65017Hammarling, S. J. 100 1982 Convergence rates for sparse chaos approximations of elliptic problems with stochastic coefficients. Zbl 1120.65004Todor, Radu Alexandru; Schwab, Christoph 99 2007 A novel fitted finite volume method for the Black-Scholes equation governing option pricing. Zbl 1147.91332Wang, Song 93 2004 A discontinuous Galerkin method with weighted averages for advection-diffusion equations with locally small and anisotropic diffusivity. Zbl 1165.65074Ern, Alexandre; Stephansen, Annette F.; Zunino, Paolo 88 2009 Finite difference discretization of the cubic Schrödinger equation. Zbl 0762.65070Akrivis, Georgios D. 84 1993 A virtual element method with arbitrary regularity. Zbl 1293.65146Beirão da Veiga, Lourenco; Manzini, Gianmarco 84 2014 Fitted and unfitted finite-element methods for elliptic equations with smooth interfaces. Zbl 0629.65118Barrett, John W.; Elliott, Charles M. 84 1987 Restrictively preconditioned conjugate gradient methods for systems of linear equations. Zbl 1046.65018Bai, Zhongzhi; Li, Guiqing 84 2003 A conforming mixed finite element method for the coupling of fluid flow with porous media flow. Zbl 1157.76025Gatica, Gabriel N.; Meddahi, Salim; Oyarzúa, Ricardo 83 2009 Stability and convergence of a second-order mixed finite element method for the Cahn-Hilliard equation. Zbl 1433.80005Diegel, Amanda E.; Wang, Cheng; Wise, Steven M. 81 2016 Inexact spectral projected gradient methods on convex sets. Zbl 1047.65042Birgin, Ernesto G.; Martínez, José Mario; Raydan, Marcos 81 2003 On convergence rates for the iteratively regularized Gauss-Newton method. Zbl 0881.65050Blaschke, Barbara; Neubauer, Andreas; Scherzer, Otmar 80 1997 Approximation of the global attractor for the incompressible Navier-Stokes equations. Zbl 0982.76022Hill, Adrian T.; Süli, Endre 80 2000 Convergence of Newton’s method and uniqueness of the solution of equations in Banach space. Zbl 0942.65057Wang, Xinghua 79 2000 Stability of Runge-Kutta methods for trajectory problems. Zbl 0624.65057Cooper, G. J. 77 1987 Realistic eigenvalue bounds for the Galerkin mass matrix. Zbl 0648.65076Wathen, A. J. 75 1987 Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion. Zbl 1321.65142Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi 74 2015 Product approximation for non-linear problems in the finite element method. Zbl 0469.65072Christie, I.; Griffiths, D. F.; Mitchell, A. R.; Sanz-Serna, J. M. 74 1981 Block-diagonal preconditioning for spectral stochastic finite-element systems. Zbl 1169.65007Powell, Catherine E.; Elman, Howard C. 73 2009 A class of derivative-free methods for large-scale nonlinear monotone equations. Zbl 1241.65047Li, Qingna; Li, Dong-Hui 72 2011 Newton’s method on Riemannian manifolds: Covariant alpha theory. Zbl 1047.65037Dedieu, Jean-Pierre; Priouret, Pierre; Malajovich, Gregorio 70 2003 Conservative and nonconservative schemes for the solution of the nonlinear Schrödinger equation. Zbl 0593.65087Sanz-Serna, J. M.; Verwer, J. G. 70 1986 The stability of the \(\theta\)-methods in the numerical solution of delay differential equations. Zbl 0693.65056Liu, M. Z.; Spijker, M. N. 70 1990 Clenshaw-Curtis-Filon-type methods for highly oscillatory Bessel transforms and applications. Zbl 1232.65047Xiang, Shuhuang; Cho, Yeol Je; Wang, Haiyong; Brunner, Hermann 70 2011 Toeplitz preconditioners for Toeplitz systems with nonnegative generating functions. Zbl 0737.65022Chan, Raymond H. 69 1991 A mixed virtual element method for the pseudostress-velocity formulation of the Stokes problem. Zbl 1433.76071Cáceres, Ernesto; Gatica, Gabriel N. 69 2017 Order conditions for a class of two-step methods for \(y''=f(x,y)\). Zbl 1022.65080Coleman, John P. 68 2003 The cyclic Barzilai-Borwein method for unconstrained optimization. Zbl 1147.65315Dai, Yuhong; Hager, William W.; Schittkowski, Klaus; Zhang, Hongchao 68 2006 A uniformly convergent numerical method for a coupled system of two singularly perturbed linear reaction-diffusion problems. Zbl 1048.65076Madden, Niall; Stynes, Martin 67 2003 On the stability of linear multistep methods for Volterra convolution equations. Zbl 0543.65095Lubich, Ch. 65 1983 Upwind difference approximations for degenerate parabolic convection-diffusion equations with a discontinuous coefficient. Zbl 1014.65073Karlsen, K. H.; Risebro, N. H.; Towers, J. D. 65 2002 A modified BFGS algorithm for unconstrained optimization. Zbl 0733.65039Yuan, Yaxiang 63 1991 High-order embedded Runge-Kutta-Nyström formulae. Zbl 0627.65085Dormand, J. R.; El-Mikkawy, M. E. A.; Prince, P. J. 62 1987 A cell-centred finite-volume approximation for anisotropic diffusion operators on unstructured meshes in any space dimension. Zbl 1093.65110Eymard, R.; Gallouët, T.; Herbin, R. 62 2006 A new weak Galerkin finite element method for the Helmholtz equation. Zbl 1323.65116Mu, Lin; Wang, Junping; Ye, Xiu 61 2015 Well-posedness of \(hp\)-version discontinuous Galerkin methods for fractional diffusion wave equations. Zbl 1310.65128Mustapha, Kassem; Schötzau, Dominik 61 2014 A parallel method for time discretization of parabolic equations based on Laplace transformation and quadrature. Zbl 1022.65108Sheen, Dongwoo; Sloan, Ian H.; Thomée, Vidar 61 2003 On the numerical quadrature of highly-oscillating integrals. I: Fourier transforms. Zbl 1061.65149Iserles, Arieh 60 2004 The computation of averages from equilibrium and nonequilibrium Langevin molecular dynamics. Zbl 1347.65014Leimkuhler, Benedict; Matthews, Charles; Stoltz, Gabriel 59 2016 Global convergence of a class of trust-region methods for nonconvex minimization in Hilbert space. Zbl 0698.65043Toint, Ph. L. 59 1988 Stability analysis of Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations. Zbl 1057.65104Zhang, Chengjian; Vandewalle, Stefan 58 2004 Stability and error estimates for Filon-Clenshaw-Curtis rules for highly oscillatory integrals. Zbl 1231.65060Domínguez, V.; Graham, I. G.; Smyshlyaev, V. P. 58 2011 A fourth algebraic order exponentially-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation. Zbl 0990.65079Simos, T. E. 56 2001 Numerical solvability of Hammerstein integral equations of mixed type. Zbl 0719.65093Ganesh, M.; Joshi, M. C. 56 1991 A hybrid mixed discontinuous Galerkin finite-element method for convection-diffusion problems. Zbl 1204.65133Egger, Herbert; Schöberl, Joachim 55 2010 Conforming and divergence-free Stokes elements in three dimensions. Zbl 1305.76056Guzmán, Johnny; Neilan, Michael 55 2014 Local polynomial reproduction and moving least squares approximation. Zbl 0976.65013Wendland, Holger 55 2001 Numerical convergence properties of option pricing PDEs with uncertain volatility. Zbl 1040.91053Pooley, D. M.; Forsyth, P. A.; Vetzal, K. R. 55 2003 Anisotropic interpolation and quasi-Wilson element for narrow quadrilateral meshes. Zbl 1049.65129Chen, Shaochun; Shi, Dongyang; Zhao, Yongcheng 55 2004 A note on collocation methods for Volterra integro-differential equations with weakly singular kernels. Zbl 0765.65126Tang, Tao 54 1993 Pre-asymptotic error analysis of CIP-FEM and FEM for the Helmholtz equation with high wave number. I: Linear version. Zbl 1296.65144Wu, Haijun 54 2014 Stochastic exponential integrators for the finite element discretization of SPDEs for multiplicative and additive noise. Zbl 1272.65010Lord, Gabriel J.; Tambue, Antoine 54 2013 The Galerkin method for integral equations of the first kind with logarithmic kernel: Theory. Zbl 0636.65143Sloan, I. H.; Spence, A. 54 1988 Error estimates for the approximate solutions of a nonlinear hyperbolic equation given by finite volume schemes. Zbl 0973.65078Eymard, R.; Gallouët, T.; Ghilani, M.; Herbin, R. 54 1998 Centred TVD schemes for hyperbolic conservation laws. Zbl 0943.65100Toro, E. F.; Billet, S. J. 54 2000 A finite difference method for a two-point boundary value problem with a Caputo fractional derivative. Zbl 1339.65097Stynes, Martin; Gracia, José Luis 54 2015 Matrix completion via an alternating direction method. Zbl 1236.65043Chen, Caihua; He, Bingsheng; Yuan, Xiaoming 54 2012 The calculation of Hopf points by a direct method. Zbl 0521.65070Griewank, A.; Reddien, G. 53 1983 An implicit finite-difference time-stepping method for a sub-diffusion equation, with spatial discretization by finite elements. Zbl 1219.65091Mustapha, Kassem 53 2011 Solving linear partial differential equations by exponential splitting. Zbl 0676.65116Sheng, Q. 53 1989 \(H^1\)-Galerkin mixed finite element methods for parabolic partial integro-differential equations. Zbl 1008.65101Pani, Amiya K.; Fairweather, Graeme 53 2002 Linearly implicit time discretization of nonlinear parabolic equations. Zbl 0834.65092Lubich, Ch.; Ostermann, A. 52 1995 Compact embeddings of broken Sobolev spaces and applications. Zbl 1181.65094Buffa, Annalisa; Ortner, Christoph 52 2009 Newton’s method on Riemannian manifolds: Smale’s point estimate theory under the \(\gamma\)-condition. Zbl 1094.65052Li, Chong; Wang, Jinhua 51 2006 Convergence properties of the Fletcher-Reeves method. Zbl 0851.65049Dai, Y. H.; Yuan, Y. 50 1996 Weak Galerkin method for the coupled Darcy-Stokes flow. Zbl 1433.76075Chen, Wenbin; Wang, Fang; Wang, Yanqiu 50 2016 Linearization of matrix polynomials expressed in polynomial bases. Zbl 1158.15022Amiraslani, A.; Corless, R. M.; Lancaster, P. 50 2009 Conservative upwind finite-element method for a simplified Keller-Segel system modelling chemotaxis. Zbl 1119.65094Saito, Norikazu 50 2007 The discrete collocation method for nonlinear integral equations. Zbl 0771.65090Atkinson, K.; Flores, J. 49 1993 A splitting method for separable convex programming. Zbl 1310.65062He, Bingsheng; Tao, Min; Yuan, Xiaoming 49 2015 Finite element analysis for a coupled bulk-surface partial differential equation. Zbl 1271.65138Elliott, Charles M.; Ranner, Thomas 49 2013 The numerical evaluation of particular solutions for Poisson’s equation. Zbl 0576.65114Atkinson, K. E. 49 1985 A second elasticity element using the matrix bubble. Zbl 1232.74101Gopalakrishnan, J.; Guzmán, J. 49 2012 Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems I: The scalar case. Zbl 1084.65116Houston, Paul; Robson, Janice; Süli, Endre 48 2005 Estimates on the generalization error of physics-informed neural networks for approximating PDEs. Zbl 07658042Mishra, Siddhartha; Molinaro, Roberto 7 2023 Interpolation and stability properties of low-order face and edge virtual element spaces. Zbl 07673874Beirão da Veiga, L.; Mascotto, L. 4 2023 Sharp stability for finite difference approximations of hyperbolic equations with boundary conditions. Zbl 1509.65070Coulombel, Jean-François; Faye, Grégory 2 2023 A proximal bundle algorithm for nonsmooth optimization on Riemannian manifolds. Zbl 1508.65065Hoseini Monjezi, Najmeh; Nobakhtian, Soghra; Pouryayevali, Mohamad Reza 2 2023 Regularizing linear inverse problems under unknown non-Gaussian white noise allowing repeated measurements. Zbl 1508.65057Harrach, Bastian; Jahn, Tim; Potthast, Roland 2 2023 Strong convergence of Euler-Maruyama schemes for McKean-Vlasov stochastic differential equations under local Lipschitz conditions of state variables. Zbl 07673880Li, Yun; Mao, Xuerong; Song, Qingshuo; Wu, Fuke; Yin, George 2 2023 Stabilization parameter analysis of a second-order linear numerical scheme for the nonlocal Cahn-Hilliard equation. Zbl 07673883Li, Xiao; Qiao, Zhonghua; Wang, Cheng 2 2023 Positivity-preserving and energy-dissipative finite difference schemes for the Fokker-Planck and Keller-Segel equations. Zbl 07726039Hu, Jingwei; Zhang, Xiangxiong 2 2023 Randomized sparse grid algorithms for multivariate integration on Haar wavelet spaces. Zbl 1508.65016Wnuk, M.; Gnewuch, M. 1 2023 A discontinuous Galerkin coupling for nonlinear elasto-acoustics. Zbl 1512.65215Muhr, Markus; Wohlmuth, Barbara; Nikolić, Vanja 1 2023 On the approximation of dispersive electromagnetic eigenvalue problems in two dimensions. Zbl 07658057Halla, Martin 1 2023 A discrete boundedness-by-entropy method for finite-volume approximations of cross-diffusion systems. Zbl 1511.65092Jüngel, Ansgar; Zurek, Antoine 1 2023 Convergence of the EBT method for a non-local model of cell proliferation with discontinuous interaction kernel. Zbl 1511.92023Gwiazda, Piotr; Miasojedow, Błażej; Skrzeczkowski, Jakub; Szymańska, Zuzanna 1 2023 Convergence of Lagrange finite elements for the Maxwell eigenvalue problem in two dimensions. Zbl 07673870Boffi, Daniele; Guzmán, Johnny; Neilan, Michael 1 2023 Multiple projection Markov chain Monte Carlo algorithms on submanifolds. Zbl 07673872Lelièvre, Tony; Stoltz, Gabriel; Zhang, Wei 1 2023 Adaptive regularization minimization algorithms with nonsmooth norms. Zbl 07673877Gratton, S.; Toint, Ph L. 1 2023 Bulk-surface Lie splitting for parabolic problems with dynamic boundary conditions. Zbl 07673878Altmann, Robert; Kovács, Balázs; Zimmer, Christoph 1 2023 Numerical solution of an \(\boldsymbol{H}(\mathbf{curl})\)-elliptic hemivariational inequality. Zbl 07673879Han, Weimin; Ling, Min; Wang, Fei 1 2023 Two-point Landweber-type method with convex penalty terms for nonsmooth nonlinear inverse problems. Zbl 07673884Fu, Zhenwu; Wang, Wei; Han, Bo; Chen, Yong 1 2023 Approximation of fractional harmonic maps. Zbl 07726034Antil, Harbir; Bartels, Sören; Schikorra, Armin 1 2023 Effects of round-to-nearest and stochastic rounding in the numerical solution of the heat equation in low precision. Zbl 07726036Croci, M.; Giles, M. B. 1 2023 Error estimates for the numerical approximation of optimal control problems with nonsmooth pointwise-integral control constraints. Zbl 07726040Casas, Eduardo; Kunisch, Karl; Mateos, Mariano 1 2023 Construction and application of provable positive and exact cubature formulas. Zbl 07726044Glaubitz, Jan 1 2023 A manifold inexact augmented Lagrangian method for nonsmooth optimization on Riemannian submanifolds in Euclidean space. Zbl 07726045Deng, Kangkang; Peng, Zheng 1 2023 Inexact Newton-CG algorithms with complexity guarantees. Zbl 07726052Yao, Zhewei; Xu, Peng; Roosta, Fred; Wright, Stephen J.; Mahoney, Michael W. 1 2023 Multilevel representations of isotropic Gaussian random fields on the sphere. Zbl 07726055Bachmayr, Markus; Djurdjevac, Ana 1 2023 Complexity of sparse polynomial solving. II: renormalization. Zbl 07726056Malajovich, Gregorio 1 2023 A second-order accurate numerical scheme for a time-fractional Fokker-Planck equation. Zbl 07726057Mustapha, Kassem; Knio, Omar M.; Le Maître, Olivier P. 1 2023 Estimates on the generalization error of physics-informed neural networks for approximating a class of inverse problems for PDEs. Zbl 07524707Mishra, Siddhartha; Molinaro, Roberto 34 2022 An adaptive BDF2 implicit time-stepping method for the phase field crystal model. Zbl 1493.65168Liao, Hong-Lin; Ji, Bingquan; Zhang, Luming 20 2022 Simulation of McKean-Vlasov SDEs with super-linear growth. Zbl 1481.65020dos Reis, Gonçalo; Engelhardt, Stefan; Smith, Greig 16 2022 Divergence-preserving reconstructions on polygons and a really pressure-robust virtual element method for the Stokes problem. Zbl 07465508Frerichs, Derk; Merdon, Christian 10 2022 Automatic rational approximation and linearization of nonlinear eigenvalue problems. Zbl 1514.65063Lietaert, Pieter; Meerbergen, Karl; Pérez, Javier; Vandereycken, Bart 10 2022 Uniform error estimates for artificial neural network approximations for heat equations. Zbl 1502.65171Gonon, Lukas; Grohs, Philipp; Jentzen, Arnulf; Kofler, David; Šiška, David 8 2022 Conforming and nonconforming VEMs for the fourth-order reaction-subdiffusion equation: a unified framework. Zbl 1502.65130Li, Meng; Zhao, Jikun; Huang, Chengming; Chen, Shaochun 7 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 1517.65108Ern, Alexandre; Gudi, Thirupathi; Smears, Iain; Vohralík, Martin 7 2022 The time-fractional Cahn-Hilliard equation: analysis and approximation. Zbl 1497.65158Al-Maskari, Mariam; Karaa, Samir 7 2022 A strong order 3/4 method for SDEs with discontinuous drift coefficient. Zbl 1515.65030Müller-Gronbach, Thomas; Yaroslavtseva, Larisa 6 2022 Error estimate of a decoupled numerical scheme for the Cahn-Hilliard-Stokes-Darcy system. Zbl 07563204Chen, Wenbin; Wang, Shufen; Zhang, Yichao; Han, Daozhi; Wang, Cheng; Wang, Xiaoming 6 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 07465494Kwon, Young-Sam; Novotný, Antonín 5 2022 An \(L^p\) spaces-based formulation yielding a new fully mixed finite element method for the coupled Darcy and heat equations. Zbl 1512.65209Gatica, Gabriel N.; Meddahi, Salim; Ruiz-Baier, Ricardo 5 2022 Optimal convergence of a second-order low-regularity integrator for the KdV equation. Zbl 07607705Wu, Yifei; Zhao, Xiaofei 5 2022 Robust nonconforming virtual element methods for general fourth-order problems with varying coefficients. Zbl 1501.65109Dedner, Andreas; Hodson, Alice 5 2022 Quasi-Newton variable preconditioning for nonlinear nonuniformly monotone elliptic problems posed in Banach spaces. Zbl 1500.65019Borsos, B.; Karátson, J. 5 2022 A posteriori error estimates with boundary correction for a cut finite element method. Zbl 07465500Burman, Erik; He, Cuiyu; Larson, Mats G. 4 2022 Error analysis for space discretizations of quasilinear wave-type equations. 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Zbl 1502.65147von Wahl, Henry; Richter, Thomas; Lehrenfeld, Christoph 3 2022 A priori and a posteriori error estimates for a virtual element method for the non-self-adjoint Steklov eigenvalue problem. Zbl 1502.65182Wang, Gang; Meng, Jian; Wang, Ying; Mei, Liquan 3 2022 Semirobust analysis of an H(div)-conforming DG method with semi-implicit time-marching for the evolutionary incompressible Navier-Stokes equations. Zbl 07524725Han, Yongbin; Hou, Yanren 3 2022 Derivative-free high-order uniformly accurate schemes for highly oscillatory systems. Zbl 1500.65036Chartier, Philippe; Lemou, Mohammed; Méhats, Florian; Zhao, Xiaofei 3 2022 An HDG method for dissimilar meshes. Zbl 1501.65127Solano, Manuel; Terrana, Sébastien; Nguyen, Ngoc-Cuong; Peraire, Jaime 3 2022 Maximal regularity of multistep fully discrete finite element methods for parabolic equations. 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Zbl 1514.65010Droniou, Jérôme; Goldys, Beniamin; Le, Kim-Ngan 1 2022 ...and 1678 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 18,129 Authors 210 Simos, Theodore E. 106 Dehghan Takht Fooladi, Mehdi 92 Shi, Dongyang 84 Gatica, Gabriel N. 74 He, Yinnian 67 Huang, Yunqing 63 Argyros, Ioannis Konstantinos 59 Zhang, Guofeng 56 Xiang, Shuhuang 56 Xu, Da 55 Carstensen, Carsten 55 Li, Jichun 54 Praetorius, Dirk 53 Reichel, Lothar 52 Chen, Yanping 51 Huang, Chengming 48 Ern, Alexandre 48 Stynes, Martin Joseph 48 Wu, Xinyuan 47 Ruiz-Baier, Ricardo 45 Burman, Erik 44 Di Pietro, Daniele Antonio 44 Li, Buyang 44 Sayas, Francisco-Javier 44 Zhang, Zhimin 43 Wang, Song 42 Iserles, Arieh 42 Ma, Changfeng 41 Schwab, Christoph 41 Vohralík, Martin 40 Dai, Yu-Hong 40 Droniou, Jérôme 39 Eymard, Robert 39 Feng, Xinlong 38 Babaie-Kafaki, Saman 38 Beirão da Veiga, Lourenço 38 Mora, David 38 Pani, Amiya Kumar 38 Zhang, Chengjian 37 Melenk, Jens Markus 37 Oyarzúa, Ricardo 36 Antonietti, Paola Francesca 36 Chung, Tsz Shun Eric 36 He, Xiaoming 36 Heuer, Norbert 36 Jentzen, Arnulf 36 Olshanskii, Maxim A. 36 Wang, Wansheng 36 Zhang, Shangyou 35 Manzini, Gianmarco 34 Mao, Shipeng 33 Barrett, John William 33 Wang, Cheng 32 Benner, Peter 32 Cockburn, Bernardo 32 Führer, Thomas 32 Larson, Mats G. 32 Liang, Zhaozheng 32 Martínez, José Mario 32 Nelakanti, Gnaneshwar 31 Bai, Zhongzhi 31 Nicaise, Serge 30 Alolyan, Ibraheem 30 Chen, Shaochun 30 Georgoulis, Emmanuil H. 30 Lin, Yanping 30 Sanz-Serna, Jesús María 30 Toint, Philippe Louis 30 Zhao, Jingjun 29 Elliott, Charles M. 29 Garcke, Harald 29 Hansbo, Peter 29 Herbin, Raphaèle 29 Li, Donghui 29 Otárola, Enrique 29 Wang, Hong 29 Wu, Yujiang 28 Brunner, Hermann 28 Gracia, José Luis 28 Han, Weimin 28 Nochetto, Ricardo Horacio 28 Xu, Yang 28 Yuan, Gonglin 28 Zhang, Tong 27 Hu, Jun 27 Jin, Bangti 27 Kumam, Poom 27 Li, Chong 27 Paternoster, Beatrice 27 Qiu, Weifeng 27 Serra-Capizzano, Stefano 27 Yang, Yidu 26 Abbaszadeh, Mostafa 26 Bi, Hai 26 Bradji, Abdallah 26 Clavero, Carmelo 26 Fang, Yonglei 26 Forsyth, Peter A. 26 George, Santhosh 26 Guo, Ben-Yu ...and 18,029 more Authors all top 5 Cited in 738 Journals 1,547 Journal of Computational and Applied Mathematics 953 Applied Mathematics and Computation 859 Computers & Mathematics with Applications 840 Applied Numerical Mathematics 718 Journal of Computational Physics 710 Journal of Scientific Computing 571 Computer Methods in Applied Mechanics and Engineering 538 Numerische Mathematik 529 Numerical Algorithms 482 Mathematics of Computation 417 SIAM Journal on Scientific Computing 397 SIAM Journal on Numerical Analysis 388 International Journal of Computer Mathematics 285 BIT 264 Advances in Computational Mathematics 264 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 203 Linear Algebra and its Applications 199 Numerical Methods for Partial Differential Equations 193 Calcolo 191 Computational and Applied Mathematics 186 Computational Optimization and Applications 166 Applied Mathematics Letters 163 Journal of Mathematical Analysis and Applications 159 Engineering Analysis with Boundary Elements 158 Journal of Mathematical Chemistry 149 Journal of Optimization Theory and Applications 144 Mathematics and Computers in Simulation 138 Computational Methods in Applied Mathematics 124 Optimization Methods & Software 122 M\(^3\)AS. 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