SIAM Journal on Numerical Analysis Short Title: SIAM J. Numer. Anal. Publisher: Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA ISSN: 0036-1429; 1095-7170/e Online: http://epubs.siam.org/loi/sjnaam Predecessor: Journal of the Society for Industrial and Applied Mathematics. Series B, Numerical Analysis Comments: Indexed cover-to-cover Documents Indexed: 5,713 Publications (since 1966) References Indexed: 873 Publications with 30,389 References. all top 5 Latest Issues 59, No. 4 (2021) 59, No. 3 (2021) 59, No. 2 (2021) 59, No. 1 (2021) 58, No. 6 (2020) 58, No. 5 (2020) 58, No. 4 (2020) 58, No. 3 (2020) 58, No. 2 (2020) 58, No. 1 (2020) 57, No. 6 (2019) 57, No. 5 (2019) 57, No. 4 (2019) 57, No. 3 (2019) 57, No. 2 (2019) 57, No. 1 (2019) 56, No. 6 (2018) 56, No. 5 (2018) 56, No. 4 (2018) 56, No. 3 (2018) 56, No. 2 (2018) 56, No. 1 (2018) 55, No. 6 (2017) 55, No. 5 (2017) 55, No. 4 (2017) 55, No. 3 (2017) 55, No. 2 (2017) 55, No. 1 (2017) 54, No. 6 (2016) 54, No. 5 (2016) 54, No. 4 (2016) 54, No. 3 (2016) 54, No. 2 (2016) 54, No. 1 (2016) 53, No. 6 (2015) 53, No. 5 (2015) 53, No. 4 (2015) 53, No. 3 (2015) 53, No. 2 (2015) 53, No. 1 (2015) 52, No. 6 (2014) 52, No. 5 (2014) 52, No. 4 (2014) 52, No. 3 (2014) 52, No. 2 (2014) 52, No. 1 (2014) 51, No. 6 (2013) 51, No. 5 (2013) 51, No. 4 (2013) 51, No. 3 (2013) 51, No. 2 (2013) 51, No. 1 (2013) 50, No. 6 (2012) 50, No. 5 (2012) 50, No. 4 (2012) 50, No. 3 (2012) 50, No. 2 (2012) 50, No. 1 (2012) 49, No. 6 (2011) 49, No. 5 (2011) 49, No. 4 (2011) 49, No. 3 (2011) 49, No. 2 (2011) 49, No. 1 (2011) 48, No. 6 (2010) 48, No. 5 (2010) 48, No. 4 (2010) 48, No. 3 (2010) 48, No. 2 (2010) 48, No. 1 (2010) 47, No. 6 (2010) 47, No. 5 (2009) 47, No. 4 (2009) 47, No. 3 (2009) 47, No. 2 (2009) 47, No. 1 (2009) 46, No. 6 (2008) 46, No. 5 (2008) 46, No. 4 (2008) 46, No. 3 (2008) 46, No. 2 (2008) 46, No. 1 (2008) 45, No. 6 (2007) 45, No. 5 (2007) 45, No. 4 (2007) 45, No. 3 (2007) 45, No. 2 (2007) 45, No. 1 (2007) 44, No. 6 (2006) 44, No. 5 (2006) 44, No. 4 (2006) 44, No. 3 (2006) 44, No. 2 (2006) 44, No. 1 (2006) 43, No. 6 (2006) 43, No. 5 (2005) 43, No. 4 (2005) 43, No. 3 (2005) 43, No. 2 (2005) 43, No. 1 (2005) ...and 132 more Volumes all top 5 Authors 38 Carstensen, Carsten 37 Manteuffel, Thomas A. 37 Wheeler, Mary Fanett 36 Babuška, Ivo 32 Du, Qiang 31 Cockburn, Bernardo 29 Cai, Zhiqiang 29 McCormick, Steve Fahrney 29 Shu, Chi-Wang 28 Nochetto, Ricardo Horacio 25 Sloan, Ian Hugh 24 Gunzburger, Max D. 23 Schwab, Christoph 23 Shen, Jie 23 Süli, Endre E. 22 Ewing, Richard Edward 22 Sun, Weiwei 21 Ainsworth, Mark 20 Rheinboldt, Werner C. 20 Widlund, Olof B. 19 Bartels, Sören 19 Guermond, Jean-Luc 19 Li, Buyang 19 Starke, Gerhard 19 Tadmor, Eitan 18 Osher, Stanley Joel 18 Wohlmuth, Barbara I. 17 Bank, Randolph E. 17 Feng, Xiaobing 17 Kelley, Carl T. 17 Layton, William J. 17 Parter, Seymour V. 17 Russell, Robert D. 17 Schumaker, Larry L. 17 Wang, Junping 16 Durán, Ricardo G. 16 Fairweather, Graeme 16 Quarteroni, Alfio M. 16 Walkington, Noel J. 15 Arbogast, Todd 15 Bernardi, Christine 15 Burman, Erik 15 Lazarov, Raytcho D. 15 Maday, Yvon 15 Prohl, Andreas 15 Thomée, Vidar 15 Zhang, Zhimin 14 Atkinson, Kendall Eugene 14 Barrett, John W. 14 Brunner, Hermann 14 Dahmen, Wolfgang A. 14 Dawson, Clint N. 14 Kreiss, Heinz-Otto 14 Liu, Steve Wenbin 14 Lubich, Christian 14 Reusken, Arnold 14 Stroud, Arthur H. 14 Tang, Tao 14 Xu, Jinchao 13 Beirão da Veiga, Lourenço 13 Bialecki, Bernard 13 Conn, Andrew Roger 13 Demkowicz, Leszek F. 13 Dupont, Todd F. 13 Ern, Alexandre 13 Graham, Ivan G. 13 Johnson, Claes G. L. 13 Lin, Yanping 13 Nicolaides, Roy A. 13 Schötzau, Dominik 12 Ascher, Uri M. 12 Bochev, Pavel B. 12 Brenner, Susanne Cecelia 12 Burrage, Kevin 12 Chan, Tony Fan-Cheong 12 Demlow, Alan 12 Falk, Richard S. 12 Gander, Martin Jakob 12 Luskin, Mitchell 12 Ma, Heping 12 Makridakis, Charalambos G. 12 Petzold, Linda Ruth 12 Sauter, Stefan A. 12 Stuart, Andrew M. 12 Yotov, Ivan 11 Bramble, James H. 11 Dick, Josef 11 Gatica, Gabriel N. 11 Gopalakrishnan, Jayadeep 11 Guo, Benqi 11 Hiptmair, Ralf 11 Jin, Shi 11 Joly, Patrick 11 Keller, Herbert Bishop 11 Kellogg, Bruce 11 LeVeque, Randall J. 11 Novo, Julia 11 Ostermann, Alexander 11 Pareschi, Lorenzo 11 Skeel, Robert D. ...and 4,923 more Authors all top 5 Fields 5,131 Numerical analysis (65-XX) 2,226 Partial differential equations (35-XX) 727 Fluid mechanics (76-XX) 445 Approximations and expansions (41-XX) 442 Ordinary differential equations (34-XX) 249 Mechanics of deformable solids (74-XX) 245 Integral equations (45-XX) 237 Calculus of variations and optimal control; optimization (49-XX) 196 Probability theory and stochastic processes (60-XX) 172 Operations research, mathematical programming (90-XX) 155 Optics, electromagnetic theory (78-XX) 154 Operator theory (47-XX) 139 Statistical mechanics, structure of matter (82-XX) 130 Linear and multilinear algebra; matrix theory (15-XX) 100 Dynamical systems and ergodic theory (37-XX) 77 Computer science (68-XX) 71 Harmonic analysis on Euclidean spaces (42-XX) 58 Functional analysis (46-XX) 53 Functions of a complex variable (30-XX) 53 Biology and other natural sciences (92-XX) 52 Systems theory; control (93-XX) 46 Special functions (33-XX) 43 Real functions (26-XX) 43 Statistics (62-XX) 40 Global analysis, analysis on manifolds (58-XX) 40 Geophysics (86-XX) 38 Quantum theory (81-XX) 38 Information and communication theory, circuits (94-XX) 36 Classical thermodynamics, heat transfer (80-XX) 34 Potential theory (31-XX) 33 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 32 Mechanics of particles and systems (70-XX) 27 Integral transforms, operational calculus (44-XX) 23 Number theory (11-XX) 20 Differential geometry (53-XX) 16 Difference and functional equations (39-XX) 14 Sequences, series, summability (40-XX) 12 Combinatorics (05-XX) 10 Astronomy and astrophysics (85-XX) 9 Field theory and polynomials (12-XX) 8 Algebraic geometry (14-XX) 5 Commutative algebra (13-XX) 5 Convex and discrete geometry (52-XX) 4 Algebraic topology (55-XX) 3 Group theory and generalizations (20-XX) 3 Topological groups, Lie groups (22-XX) 3 Measure and integration (28-XX) 3 Manifolds and cell complexes (57-XX) 3 Relativity and gravitational theory (83-XX) 2 History and biography (01-XX) 2 Geometry (51-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Associative rings and algebras (16-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 5,316 Publications have been cited 116,815 times in 58,270 Documents Cited by ▼ Year ▼ Unified analysis of discontinuous Galerkin methods for elliptic problems. Zbl 1008.65080Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, L. Donatella 1,070 2002 The local discontinuous Galerkin method for time-dependent convection-diffusion systems. Zbl 0927.65118Cockburn, Bernardo; Shu, Chi-Wang 775 1998 On the construction and comparison of difference schemes. Zbl 0184.38503Strang, Gilbert 722 1968 Splitting algorithms for the sum of two nonlinear operators. Zbl 0426.65050Lions, Pierre-Louis; Mercier, B. 566 1979 An interior penalty finite element method with discontinuous elements. Zbl 0482.65060Arnold, Douglas N. 559 1982 High resolution schemes using flux limiters for hyperbolic conservation laws. Zbl 0565.65048Sweby, P. K. 533 1984 The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. Zbl 0811.65083LeVeque, Randall J.; Li, Zhilin 517 1994 Inexact Newton methods. Zbl 0478.65030Dembo, Ron S.; Eisenstat, Stanley C.; Steihaug, Trond 476 1982 A nonmonotone line search technique for Newton’s method. Zbl 0616.65067Grippo, L.; Lampariello, F.; Lucidi, S. 448 1986 A convergent adaptive algorithm for Poisson’s equation. Zbl 0854.65090Dörfler, Willy 432 1996 Error estimates for adaptive finite element computations. Zbl 0398.65069Babuška, Ivo; Rheinboldt, W. C. 426 1978 Solution of sparse indefinite systems of linear equations. Zbl 0319.65025Paige, C. C.; Saunders, M. A. 404 1975 Unified hybridization of discontinuous Galerkin, mixed, and continuous Galerkin methods for second order elliptic problems. Zbl 1205.65312Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Lazarov, Raytcho 399 2009 Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures. Zbl 0492.65051Douglas, Jim jun.; Russell, Thomas F. 382 1982 Finite element approximation of the nonstationary Navier-Stokes problem. I. Regularity of solutions and second-order error estimates for spatial discretization. Zbl 0487.76035Heywood, John G.; Rannacher, Rolf 353 1982 Implicit-explicit methods for time-dependent partial differential equations. Zbl 0841.65081Ascher, Uri M.; Ruuth, Steven J.; Wetton, Brian T. R. 342 1995 A stochastic collocation method for elliptic partial differential equations with random input data. Zbl 1151.65008Babuška, Ivo; Nobile, Fabio; Tempone, Raúl 330 2007 Galerkin finite element approximations of stochastic elliptic partial differential equations. Zbl 1080.65003Babuska, Ivo; Tempone, Raúl; Zouraris, Georgios E. 311 2004 An elliptic collocation-finite element method with interior penalties. Zbl 0384.65058Wheeler, Mary Fanett 297 1978 Two-grid discretization techniques for linear and nonlinear PDEs. Zbl 0860.65119Xu, Jinchao 296 1996 A space-time spectral method for the time fractional diffusion equation. Zbl 1193.35243Li, Xianjuan; Xu, Chuanju 295 2009 Finite-element approximation of the nonstationary Navier-Stokes problem. IV: Error analysis for second-order time discretization. Zbl 0694.76014Heywood, John G.; Rannacher, Rolf 289 1990 A sparse grid stochastic collocation method for partial differential equations with random input data. Zbl 1176.65137Nobile, F.; Tempone, R.; Webster, C. G. 284 2008 Stability theory for systems of inequalities. II: Differentiable nonlinear systems. Zbl 0347.90050Robinson, Stephen M. 271 1976 Uniformly high-order accurate nonoscillatory schemes. I. Zbl 0627.65102Harten, Ami; Osher, Stanley 260 1987 The rotation of eigenvectors by a perturbation. III. Zbl 0198.47201Davis, Chandler; Kahan, W. M. 258 1970 An explicit finite difference method and a new von Neumann-type stability analysis for fractional diffusion equations. Zbl 1119.65379Yuste, S. B.; Acedo, L. 257 2005 Strong convergence of Euler-type methods for nonlinear stochastic differential equations. Zbl 1026.65003Higham, Desmond J.; Mao, Xuerong; Stuart, Andrew M. 255 2002 Variational iterative methods for nonsymmetric systems of linear equations. Zbl 0524.65019Eisenstat, Stanley C.; Elman, Howard C.; Schultz, Martin H. 240 1983 High-resolution conservative algorithms for advection in incompressible flow. Zbl 0852.76057LeVeque, Randall J. 234 1996 A well-balanced scheme for the numerical processing of source terms in hyperbolic equations. Zbl 0876.65064Greenberg, James M.; Le Roux, Alain-Yves 232 1996 High-order essentially nonoscillatory schemes for Hamilton-Jacobi equations. Zbl 0736.65066Osher, Stanley; Shu, Chi-Wang 230 1991 On Krylov subspace approximations to the matrix exponential operator. Zbl 0888.65032Hochbruck, Marlis; Lubich, Christian 226 1997 Numerical methods for the variable-order fractional advection-diffusion equation with a nonlinear source term. Zbl 1204.26013Zhuang, P.; Liu, Fawang; Anh, V.; Turner, I. 218 2009 On the \(O(1/n)\) convergence rate of the Douglas-Rachford alternating direction method. Zbl 1245.90084He, Bingsheng; Yuan, Xiaoming 216 2012 Error estimate procedure in the finite element method and applications. Zbl 0582.65078Ladeveze, P.; Leguillon, D. 215 1983 An algorithm for generalized matrix eigenvalue problems. Zbl 0253.65019Moler, C. B.; Stewart, G. W. 215 1973 Coupling fluid flow with porous media flow. Zbl 1037.76014Layton, William J.; Schieweck, Friedhelm; Yotov, Ivan 215 2003 Inexact and preconditioned Uzawa algorithms for saddle point problems. Zbl 0815.65041Elman, Howard C.; Golub, Gene H. 213 1994 Finite element method for the space and time fractional Fokker-Planck equation. Zbl 1416.65344Deng, Weihua 211 2009 An a priori error analysis of the local discontinuous Galerkin method for elliptic problems. Zbl 0987.65111Castillo, Paul; Cockburn, Bernardo; Perugia, Ilaria; Schötzau, Dominik 204 2000 A new class of optimal high-order strong-stability-preserving time discretization methods. Zbl 1020.65064Spiteri, Raymond J.; Ruuth, Steven J. 203 2002 Discontinuous \(hp\)-finite element methods for advection-diffusion-reaction problems. Zbl 1015.65067Houston, Paul; Schwab, Christoph; Süli, Endre 201 2002 Quasi-optimal convergence rate for an adaptive finite element method. Zbl 1176.65122Cascon, J. Manuel; Kreuzer, Christian; Nochetto, Ricardo H.; Siebert, Kunibert G. 199 2008 Monotone piecewise cubic interpolation. Zbl 0423.65011Fritsch, F. N.; Carlson, R. E. 198 1980 Some error estimates for the box method. Zbl 0634.65105Bank, Randolph E.; Rose, Donald J. 198 1987 New solution and analytical techniques of the implicit numerical method for the anomalous subdiffusion equation. Zbl 1173.26006Zhuang, P.; Liu, Fawang; Anh, V.; Turner, I. 198 2008 Diagonally implicit Runge-Kutta methods for stiff O.D.E.’s. Zbl 0374.65038Alexander, Roger 196 1977 Image selective smoothing and edge detection by nonlinear diffusion. Zbl 0746.65091Catté, Francine; Lions, Pierre-Louis; Morel, Jean-Michel; Coll, Tomeu 195 1992 Poincaré–Friedrichs inequalities for piecewise \(H^{1}\) functions. Zbl 1045.65100Brenner, Susanne C. 194 2003 Adaptive finite element methods for parabolic problems. I: A linear model problem. Zbl 0732.65093Eriksson, Kenneth; Johnson, Claes 194 1991 On direct methods for solving Poisson’s equations. Zbl 0217.52902Buzbee, B. L.; Golub, G. H.; Nielson, C. W. 192 1970 Nested dissection of a regular finite element mesh. Zbl 0259.65087George, Alan 192 1973 Collocation at Gaussian points. Zbl 0232.65065de Boor, Carl; Swartz, Blair 190 1973 Analysis of the inexact Uzawa algorithm for saddle point problems. Zbl 0873.65031Bramble, James H.; Pasciak, Joseph E.; Vassilev, Apostol T. 188 1997 A priori \(L_2\) error estimates for Galerkin approximations to parabolic partial differential equations. Zbl 0232.35060Wheeler, Mary Fanett 187 1972 Iterative solution of implicit approximations of multidimensional partial differential equations. Zbl 0197.13304Stone, H. L. 186 1968 Error analysis of a finite difference method on graded meshes for a time-fractional diffusion equation. Zbl 1362.65089Stynes, Martin; O’Riordan, Eugene; Gracia, José Luis 185 2017 Special finite element methods for a class of second order elliptic problems with rough coefficients. Zbl 0807.65114Babuška, Ivo; Caloz, Gabriel; Osborn, John E. 183 1994 Galerkin proper orthogonal decomposition methods for a general equation in fluid dynamics. Zbl 1075.65118Kunisch, K.; Volkwein, S. 181 2002 Stabilization of low-order mixed finite elements for the Stokes equations. Zbl 1145.76015Bochev, Pavel B.; Dohrmann, Clark R.; Gunzburger, Max D. 179 2006 Comparing numerical methods for ordinary differential equations. Zbl 0221.65115Hull, T. E.; Enright, W. H.; Fellen, B. M.; Sedgwick, A. E. 173 1972 Explicit Runge-Kutta (-Nyström) methods with reduced phase errors for computing oscillating solutions. Zbl 0624.65058Van der Houwen, P. J.; Sommeijer, B. P. 172 1987 On Godunov-type methods for gas dynamics. Zbl 0642.76088Einfeldt, Bernd 171 1988 A family of fourth-order methods for nonlinear equations. Zbl 0266.65040King, Richard F. 171 1973 An anisotropic sparse grid stochastic collocation method for partial differential equations with random input data. Zbl 1176.65007Nobile, F.; Tempone, R.; Webster, C. G. 171 2008 Data oscillation and convergence of adaptive FEM. Zbl 0970.65113Morin, Pedro; Nochetto, Ricardo H.; Siebert, Kunibert G. 170 2000 A priori error estimates for finite element methods based on discontinuous approximation spaces for elliptic problems. Zbl 1010.65045Rivière, Béatrice; Wheeler, Mary F.; Girault, Vivette 170 2001 On the angle condition in the finite element method. Zbl 0324.65046Babuška, Ivo; Aziz, A. K. 168 1976 A mortar finite element method using dual spaces for the Lagrange multiplier. Zbl 0974.65105Wohlmuth, Barbara I. 167 2000 The numerical solution of Fredholm integral equations of the second kind. Zbl 0155.47404Atkinson, K. E. 167 1967 The conjugate gradient method and trust regions in large scale optimization. Zbl 0518.65042Steihaug, Trond 167 1983 Stability analysis of numerical schemes for stochastic differential equations. Zbl 0869.60052Saito, Yoshihiro; Mitsui, Taketomo 164 1996 Fundamental solutions method for elliptic boundary value problems. Zbl 0579.65121Bogomolny, Alexander 164 1985 Mean-square and asymptotic stability of the stochastic theta method. Zbl 0982.60051Higham, Desmond J. 162 2000 Virtual elements for linear elasticity problems. Zbl 1268.74010Beirao da Veiga, L.; Brezzi, F.; Marini, L. D. 162 2013 The differentiation of pseudo-inverses and nonlinear least squares problems whose variables separate. Zbl 0258.65045Golub, G. H.; Pereyra, V. 161 1973 The approximate solution of elliptic boundary-value problems by fundamental solutions. Zbl 0368.65058Mathon, Rudolf; Johnston, R. L. 160 1977 A posteriori error estimates for a discontinuous Galerkin approximation of second-order elliptic problems. Zbl 1058.65120Karakashian, Ohannes A.; Pascal, Frederic 160 2003 Analysis of some Krylov subspace approximations to the matrix exponential operator. Zbl 0749.65030Saad, Y. 158 1992 Convergence of the mimetic finite difference method for diffusion problems on polyhedral meshes. Zbl 1108.65102Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail 157 2005 An analysis of the total least squares problem. Zbl 0468.65011Golub, Gene H.; Van Loan, Charles F. 155 1980 An energy-stable and convergent finite-difference scheme for the phase field crystal equation. Zbl 1201.35027Wise, S. M.; Wang, Cheng; Lowengrub, J. S. 153 2009 Application of an ultra weak variational formulation of elliptic PDEs to the two-dimensional Helmholtz problem. Zbl 0955.65081Cessenat, Olivier; Despres, Bruno 152 1998 On the accuracy of the finite volume element method based on piecewise linear polynomials. Zbl 1036.65084Ewing, Richard E.; Lin, Tao; Lin, Yanping 151 2002 A generalization of a theorem of Böcher. Zbl 0173.02703Marden, M. 150 1966 A local discontinuous Galerkin method for KdV type equations. Zbl 1021.65050Yan, Jue; Shu, Chi-Wang 149 2002 Image selective smoothing and edge detection by nonlinear diffusion. II. Zbl 0766.65117Alvarez, Luis; Lions, Pierre-Louis; Morel, Jean-Michel 148 1992 Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences. Zbl 0880.65084Arbogast, Todd; Wheeler, Mary F.; Yotov, Ivan 148 1997 Estimation of linear functionals on Sobolev spaces with application to Fourier transforms and spline interpolation. Zbl 0201.07803Bramble, J. H.; Hilbert, S. R. 147 1970 The p-version of the finite element method. Zbl 0487.65059Babuška, Ivo; Szabo, B. A.; Katz, I. N. 147 1981 Nonlinear Galerkin methods. Zbl 0683.65083Marion, Martine; Temam, Roger 147 1989 A Crank-Nicolson ADI spectral method for a two-dimensional Riesz space fractional nonlinear reaction-diffusion equation. Zbl 1382.65349Zeng, Fanhai; Liu, Fawang; Li, Changpin; Burrage, Kevin; Turner, Ian; Anh, V. 147 2014 Generalizing the singular value decomposition. Zbl 0338.65022Van Loan, Charles F. 142 1976 Finite element solution of the Helmholtz equation with high wave number. II: The \(h-p\) version of the FEM. Zbl 0884.65104Ihlenburg, Frank; Babuška, Ivo 141 1997 Fast iterative solution of stabilised Stokes systems. II: Using general block preconditioners. Zbl 0810.76044Silvester, David; Wathen, Andrew 141 1994 Generalized finite element methods: Their performance and their relation to mixed methods. Zbl 0528.65046Babuška, Ivo; Osborn, J. E. 141 1983 A globally convergent augmented Lagrangian algorithm for optimization with general constraints and simple bounds. Zbl 0724.65067Conn, Andrew R.; Gould, Nicholas I. M.; Toint, Philippe L. 141 1991 Two-level method based on finite element and Crank-Nicolson extrapolation for the time-dependent Navier-Stokes equations. Zbl 1130.76365He, Yinnian 140 2003 Explicit exponential Runge-Kutta methods for semilinear parabolic problems. Zbl 1093.65052Hochbruck, Marlis; Ostermann, Alexander 138 2005 An efficient and convergent finite element scheme for Cahn-Hilliard equations with dynamic boundary conditions. Zbl 1458.35345Metzger, Stefan 2 2021 An artificial compressibility Crank-Nicolson leap-frog method for the Stokes-Darcy model and application in ensemble simulations. Zbl 1467.65084Jiang, Nan; Li, Ying; Yang, Huanhuan 2 2021 Discovery of dynamics using linear multistep methods. Zbl 1466.65050Keller, Rachael T.; Du, Qiang 2 2021 Deep neural networks algorithms for stochastic control problems on finite horizon: convergence analysis. Zbl 1466.65007Huré, Côme; Pham, Huyên; Bachouch, Achref; Langrené, Nicolas 2 2021 Spectral convergence of diffusion maps: improved error bounds and an alternative normalization. Zbl 07372625Wormell, Caroline L.; Reich, Sebastian 2 2021 Staggered DG method for coupling of the Stokes and Darcy-Forchheimer problems. Zbl 1456.65172Zhao, Lina; Chung, Eric T.; Park, Eun-Jae; Zhou, Guanyu 1 2021 Hypocoercivity-compatible finite element methods for the long-time computation of Kolmogorov’s equation. Zbl 1456.65112Georgoulis, Emmanuil H. 1 2021 Analysis and approximation of mixed-dimensional PDEs on 3D-1D domains coupled with Lagrange multipliers. Zbl 1460.35109Kuchta, Miroslav; Laurino, Federica; Mardal, Kent-Andre; Zunino, Paolo 1 2021 A new stability and convergence proof of the Fourier-Galerkin spectral method for the spatially homogeneous Boltzmann equation. Zbl 1462.35235Hu, Jingwei; Qi, Kunlun; Yang, Tong 1 2021 A priori error analysis of a numerical stochastic homogenization method. Zbl 07326332Fischer, Julian; Gallistl, Dietmar; Peterseim, Daniel 1 2021 Convergence of the random batch method for interacting particles with disparate species and weights. Zbl 1466.65011Jin, Shi; Li, Lei; Liu, Jian-Guo 1 2021 Carleman-based reconstruction algorithm for waves. Zbl 1461.93213Baudouin, Lucie; de Buhan, Maya; Ervedoza, Sylvain; Osses, Axel 1 2021 High-order mass- and energy-conserving SAV-Gauss collocation finite element methods for the nonlinear Schrödinger equation. 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Zbl 1429.65168Zheng, Xiangcheng; Wang, Hong 9 2020 Uniform in time error estimates for a finite element method applied to a downscaling data assimilation algorithm for the Navier-Stokes equations. Zbl 1448.65157García-Archilla, Bosco; Novo, Julia; Titi, Edriss S. 6 2020 An artificial compression reduced order model. Zbl 1434.76064DeCaria, Victor; Iliescu, Traian; Layton, William; McLaughlin, Michael; Schneier, Michael 6 2020 Fast Fourier-like mapped Chebyshev spectral-Galerkin methods for PDEs with integral fractional Laplacian in unbounded domains. Zbl 1450.65154Sheng, Changtao; Shen, Jie; Tang, Tao; Wang, Li-Lian; Yuan, Huifang 6 2020 Multidimensional sum-up rounding for elliptic control systems. Zbl 1455.49017Manns, Paul; Kirches, Christian 6 2020 A proof that Anderson acceleration improves the convergence rate in linearly converging fixed-point methods (but not in those converging quadratically). Zbl 1433.65102Evans, Claire; Pollock, Sara; Rebholz, Leo G.; Xiao, Mengying 5 2020 An \(L1\) approximation for a fractional reaction-diffusion equation, a second-order error analysis over time-graded meshes. Zbl 1434.65129Mustapha, Kassem 4 2020 Optimal convergence rates for Tikhonov regularization in Besov spaces. Zbl 07154055Weidling, Frederic; Sprung, Benjamin; Hohage, Thorsten 4 2020 Long-time accurate symmetrized implicit-explicit BDF methods for a class of parabolic equations with non-self-adjoint operators. Zbl 07154062Li, Buyang; Wang, Kai; Zhou, Zhi 4 2020 A weighted setting for the numerical approximation of the Poisson problem with singular sources. Zbl 1447.65135Drelichman, Irene; Durán, Ricardo G.; Ojea, Ignacio 4 2020 A Tchebycheffian extension of multidegree B-splines: algorithmic computation and properties. Zbl 1437.41004Hiemstra, René R.; Hughes, Thomas J. 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Zbl 1453.65114Locke, Sarah; Singler, John 1 2020 ...and 1708 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 43,443 Authors 184 Dehghan Takht Fooladi, Mehdi 184 Shu, Chi-Wang 153 He, Yinnian 149 Argyros, Ioannis Konstantinos 122 Carstensen, Carsten 121 Schwab, Christoph 112 Shi, Dongyang 104 Huang, Yunqing 103 Chen, Yanping 102 Zhang, Zhimin 96 Cockburn, Bernardo 95 Liu, Fawang 95 Wang, Hong 93 Gatica, Gabriel N. 93 Gunzburger, Max D. 92 Wheeler, Mary Fanett 90 Evans, David John 88 Babuška, Ivo 87 Quarteroni, Alfio M. 86 Jackiewicz, Zdzislaw 85 Shen, Jie 84 Simos, Theodore E. 83 Du, Qiang 83 Rui, Hongxing 83 Wei, Yimin 81 Huang, Ting-Zhu 80 Axelsson, Axel Owe Holger 79 Burman, Erik 78 Beirão da Veiga, Lourenço 77 Nochetto, Ricardo Horacio 76 Brenner, Susanne Cecelia 76 Karniadakis, George Em 76 Wohlmuth, Barbara I. 75 Demkowicz, Leszek F. 75 Feng, Xinlong 74 Bai, Zhongzhi 74 Guo, Ben-Yu 74 Hughes, Thomas J. 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