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: Journal; Indexed cover-to-cover Documents Indexed: 5,936 Publications (since 1966) References Indexed: 1,096 Publications with 39,029 References. all top 5 Latest Issues 61, No. 4 (2023) 61, No. 3 (2023) 61, No. 2 (2023) 61, No. 1 (2023) 60, No. 6 (2022) 60, No. 5 (2022) 60, No. 4 (2022) 60, No. 3 (2022) 60, No. 2 (2022) 60, No. 1 (2022) 59, No. 6 (2021) 59, No. 5 (2021) 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) ...and 144 more Volumes all top 5 Authors 39 Carstensen, Carsten 37 Manteuffel, Thomas A. 37 Wheeler, Mary Fanett 36 Babuška, Ivo 34 Du, Qiang 31 Cockburn, Bernardo 31 Shu, Chi-Wang 30 Nochetto, Ricardo Horacio 29 Cai, Zhiqiang 29 McCormick, Steve Fahrney 26 Shen, Jie 26 Sloan, Ian Hugh 24 Gunzburger, Max D. 24 Schwab, Christoph 24 Sun, Weiwei 23 Li, Buyang 23 Süli, Endre E. 22 Ainsworth, Mark 22 Ewing, Richard Edward 20 Bartels, Sören 20 Rheinboldt, Werner C. 20 Widlund, Olof B. 19 Guermond, Jean-Luc 19 Osher, Stanley Joel 19 Starke, Gerhard 19 Tadmor, Eitan 18 Burman, Erik 18 Wohlmuth, Barbara I. 17 Bank, Randolph E. 17 Feng, Xiaobing 17 Gopalakrishnan, Jay 17 Kelley, Carl T. 17 Layton, William J. 17 Parter, Seymour V. 17 Russell, Robert D. 17 Schumaker, Larry L. 17 Wang, Junping 17 Zhang, Zhimin 16 Durán, Ricardo G. 16 Fairweather, Graeme 16 Lazarov, Raytcho D. 16 Lubich, Christian 16 Maday, Yvon 16 Quarteroni, Alfio M. 16 Walkington, Noel J. 15 Arbogast, Todd 15 Beirão da Veiga, Lourenço 15 Bernardi, Christine 15 Ern, Alexandre 15 Prohl, Andreas 15 Thomée, Vidar 14 Atkinson, Kendall Eugene 14 Barrett, John William 14 Brunner, Hermann 14 Dahmen, Wolfgang A. 14 Dawson, Clint N. 14 Gottlieb, David I. 14 Kreiss, Heinz-Otto 14 Liu, Steve Wenbin 14 Makridakis, Charalambos G. 14 Reusken, Arnold 14 Stroud, Arthur H. 14 Tang, Tao 14 Wang, Hong 14 Xu, Jinchao 14 Yotov, Ivan 13 Bialecki, Bernard 13 Burrage, Kevin 13 Conn, Andrew Roger 13 Demkowicz, Leszek F. 13 Dupont, Todd F. 13 Graham, Ivan G. 13 Johnson, Claes G. L. 13 Lin, Yanping 13 Nicolaides, Roy A. 13 Schötzau, Dominik 13 Wu, Haijun 12 Ascher, Uri M. 12 Bao, Weizhu 12 Bochev, Pavel B. 12 Brenner, Susanne Cecelia 12 Chan, Tony Fan-Cheong 12 Demlow, Alan 12 Falk, Richard S. 12 Gander, Martin Jakob 12 Heuer, Norbert 12 Jin, Shi 12 Joly, Patrick 12 Luskin, Mitchell 12 Ma, Heping 12 Novo, Julia 12 Ostermann, Alexander 12 Pareschi, Lorenzo 12 Petzold, Linda Ruth 12 Sauter, Stefan A. 12 Stuart, Andrew M. 12 Trefethen, Lloyd Nicholas 11 Bramble, James H. 11 Canuto, Claudio 11 Dick, Josef ...and 5,200 more Authors all top 5 Fields 5,344 Numerical analysis (65-XX) 2,347 Partial differential equations (35-XX) 765 Fluid mechanics (76-XX) 460 Approximations and expansions (41-XX) 447 Ordinary differential equations (34-XX) 261 Mechanics of deformable solids (74-XX) 255 Calculus of variations and optimal control; optimization (49-XX) 250 Integral equations (45-XX) 211 Probability theory and stochastic processes (60-XX) 175 Operations research, mathematical programming (90-XX) 171 Optics, electromagnetic theory (78-XX) 161 Operator theory (47-XX) 144 Statistical mechanics, structure of matter (82-XX) 134 Linear and multilinear algebra; matrix theory (15-XX) 109 Dynamical systems and ergodic theory (37-XX) 88 Computer science (68-XX) 76 Harmonic analysis on Euclidean spaces (42-XX) 64 Functional analysis (46-XX) 62 Biology and other natural sciences (92-XX) 58 Systems theory; control (93-XX) 54 Functions of a complex variable (30-XX) 51 Real functions (26-XX) 50 Special functions (33-XX) 50 Statistics (62-XX) 43 Global analysis, analysis on manifolds (58-XX) 43 Geophysics (86-XX) 42 Quantum theory (81-XX) 41 Information and communication theory, circuits (94-XX) 40 Potential theory (31-XX) 39 Classical thermodynamics, heat transfer (80-XX) 35 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 34 Mechanics of particles and systems (70-XX) 30 Integral transforms, operational calculus (44-XX) 23 Number theory (11-XX) 22 Differential geometry (53-XX) 16 Difference and functional equations (39-XX) 13 Combinatorics (05-XX) 13 Sequences, series, summability (40-XX) 10 Astronomy and astrophysics (85-XX) 9 Field theory and polynomials (12-XX) 9 Algebraic geometry (14-XX) 5 Commutative algebra (13-XX) 5 Convex and discrete geometry (52-XX) 5 Relativity and gravitational theory (83-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) 2 History and biography (01-XX) 2 Geometry (51-XX) 2 Mathematics education (97-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Associative rings and algebras (16-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 5,559 Publications have been cited 144,016 times in 69,687 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 1,335 2002 The local discontinuous Galerkin method for time-dependent convection-diffusion systems. Zbl 0927.65118Cockburn, Bernardo; Shu, Chi-Wang 999 1998 On the construction and comparison of difference schemes. Zbl 0184.38503Strang, Gilbert 874 1968 Splitting algorithms for the sum of two nonlinear operators. Zbl 0426.65050Lions, Pierre-Louis; Mercier, B. 755 1979 An interior penalty finite element method with discontinuous elements. Zbl 0482.65060Arnold, Douglas N. 690 1982 The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. Zbl 0811.65083LeVeque, Randall J.; Li, Zhilin 645 1994 High resolution schemes using flux limiters for hyperbolic conservation laws. Zbl 0565.65048Sweby, P. K. 631 1984 A convergent adaptive algorithm for Poisson’s equation. Zbl 0854.65090Dörfler, Willy 581 1996 Unified hybridization of discontinuous Galerkin, mixed, and continuous Galerkin methods for second order elliptic problems. Zbl 1205.65312Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Lazarov, Raytcho 540 2009 Inexact Newton methods. Zbl 0478.65030Dembo, Ron S.; Eisenstat, Stanley C.; Steihaug, Trond 531 1982 A nonmonotone line search technique for Newton’s method. Zbl 0616.65067Grippo, L.; Lampariello, F.; Lucidi, S. 516 1986 Error estimates for adaptive finite element computations. Zbl 0398.65069Babuška, Ivo; Rheinboldt, W. C. 485 1978 Solution of sparse indefinite systems of linear equations. Zbl 0319.65025Paige, C. C.; Saunders, M. A. 466 1975 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. 437 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 427 1982 Implicit-explicit methods for time-dependent partial differential equations. Zbl 0841.65081Ascher, Uri M.; Ruuth, Steven J.; Wetton, Brian T. R. 421 1995 Finite-element approximation of the nonstationary Navier-Stokes problem. IV: Error analysis for second-order time discretization. Zbl 0694.76014Heywood, John G.; Rannacher, Rolf 416 1990 A stochastic collocation method for elliptic partial differential equations with random input data. Zbl 1151.65008Babuška, Ivo; Nobile, Fabio; Tempone, Raúl 408 2007 A space-time spectral method for the time fractional diffusion equation. Zbl 1193.35243Li, Xianjuan; Xu, Chuanju 398 2009 Two-grid discretization techniques for linear and nonlinear PDEs. Zbl 0860.65119Xu, Jinchao 378 1996 Galerkin finite element approximations of stochastic elliptic partial differential equations. Zbl 1080.65003Babuska, Ivo; Tempone, Raúl; Zouraris, Georgios E. 370 2004 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 364 2017 An elliptic collocation-finite element method with interior penalties. Zbl 0384.65058Wheeler, Mary Fanett 360 1978 A sparse grid stochastic collocation method for partial differential equations with random input data. Zbl 1176.65137Nobile, F.; Tempone, R.; Webster, C. G. 356 2008 Strong convergence of Euler-type methods for nonlinear stochastic differential equations. Zbl 1026.65003Higham, Desmond J.; Mao, Xuerong; Stuart, Andrew M. 327 2002 Uniformly high-order accurate nonoscillatory schemes. I. Zbl 0627.65102Harten, Ami; Osher, Stanley 320 1987 The rotation of eigenvectors by a perturbation. III. Zbl 0198.47201Davis, Chandler; Kahan, W. M. 319 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. 299 2005 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. 299 2009 High-resolution conservative algorithms for advection in incompressible flow. Zbl 0852.76057LeVeque, Randall J. 293 1996 Stability theory for systems of inequalities. II: Differentiable nonlinear systems. Zbl 0347.90050Robinson, Stephen M. 290 1976 Coupling fluid flow with porous media flow. Zbl 1037.76014Layton, William J.; Schieweck, Friedhelm; Yotov, Ivan 285 2003 On the \(O(1/n)\) convergence rate of the Douglas-Rachford alternating direction method. Zbl 1245.90084He, Bingsheng; Yuan, Xiaoming 284 2012 A well-balanced scheme for the numerical processing of source terms in hyperbolic equations. Zbl 0876.65064Greenberg, James M.; Le Roux, Alain-Yves 278 1996 Finite element method for the space and time fractional Fokker-Planck equation. Zbl 1416.65344Deng, Weihua 274 2009 Variational iterative methods for nonsymmetric systems of linear equations. Zbl 0524.65019Eisenstat, Stanley C.; Elman, Howard C.; Schultz, Martin H. 267 1983 High-order essentially nonoscillatory schemes for Hamilton-Jacobi equations. Zbl 0736.65066Osher, Stanley; Shu, Chi-Wang 262 1991 On Krylov subspace approximations to the matrix exponential operator. Zbl 0888.65032Hochbruck, Marlis; Lubich, Christian 261 1997 A new class of optimal high-order strong-stability-preserving time discretization methods. Zbl 1020.65064Spiteri, Raymond J.; Ruuth, Steven J. 257 2002 Quasi-optimal convergence rate for an adaptive finite element method. Zbl 1176.65122Cascon, J. Manuel; Kreuzer, Christian; Nochetto, Ricardo H.; Siebert, Kunibert G. 250 2008 Inexact and preconditioned Uzawa algorithms for saddle point problems. Zbl 0815.65041Elman, Howard C.; Golub, Gene H. 249 1994 Poincaré–Friedrichs inequalities for piecewise \(H^{1}\) functions. Zbl 1045.65100Brenner, Susanne C. 249 2003 Virtual elements for linear elasticity problems. Zbl 1268.74010Beirao da Veiga, L.; Brezzi, F.; Marini, L. D. 246 2013 An a priori error analysis of the local discontinuous Galerkin method for elliptic problems. Zbl 0987.65111Castillo, Paul; Cockburn, Bernardo; Perugia, Ilaria; Schötzau, Dominik 245 2000 An energy-stable and convergent finite-difference scheme for the phase field crystal equation. Zbl 1201.35027Wise, S. M.; Wang, Cheng; Lowengrub, J. S. 242 2009 A priori \(L_2\) error estimates for Galerkin approximations to parabolic partial differential equations. Zbl 0232.35060Wheeler, Mary Fanett 241 1972 Image selective smoothing and edge detection by nonlinear diffusion. Zbl 0746.65091Catté, Francine; Lions, Pierre-Louis; Morel, Jean-Michel; Coll, Tomeu 237 1992 Diagonally implicit Runge-Kutta methods for stiff O.D.E.’s. Zbl 0374.65038Alexander, Roger 236 1977 Error estimate procedure in the finite element method and applications. Zbl 0582.65078Ladeveze, P.; Leguillon, D. 234 1983 An algorithm for generalized matrix eigenvalue problems. Zbl 0253.65019Moler, C. B.; Stewart, G. W. 233 1973 On Godunov-type methods for gas dynamics. Zbl 0642.76088Einfeldt, Bernd 232 1988 Galerkin proper orthogonal decomposition methods for a general equation in fluid dynamics. Zbl 1075.65118Kunisch, K.; Volkwein, S. 231 2002 Discontinuous \(hp\)-finite element methods for advection-diffusion-reaction problems. Zbl 1015.65067Houston, Paul; Schwab, Christoph; Süli, Endre 230 2002 Some error estimates for the box method. Zbl 0634.65105Bank, Randolph E.; Rose, Donald J. 226 1987 Stabilization of low-order mixed finite elements for the Stokes equations. Zbl 1145.76015Bochev, Pavel B.; Dohrmann, Clark R.; Gunzburger, Max D. 225 2006 Nested dissection of a regular finite element mesh. Zbl 0259.65087George, Alan 222 1973 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. 221 2008 Analysis of the inexact Uzawa algorithm for saddle point problems. Zbl 0873.65031Bramble, James H.; Pasciak, Joseph E.; Vassilev, Apostol T. 218 1997 Special finite element methods for a class of second order elliptic problems with rough coefficients. Zbl 0807.65114Babuška, Ivo; Caloz, Gabriel; Osborn, John E. 218 1994 Monotone piecewise cubic interpolation. Zbl 0423.65011Fritsch, F. N.; Carlson, R. E. 215 1980 Adaptive finite element methods for parabolic problems. I: A linear model problem. Zbl 0732.65093Eriksson, Kenneth; Johnson, Claes 214 1991 On direct methods for solving Poisson’s equations. Zbl 0217.52902Buzbee, B. L.; Golub, G. H.; Nielson, C. W. 213 1970 Second-order convex splitting schemes for gradient flows with Ehrlich-Schwoebel type energy: Application to thin film epitaxy. Zbl 1247.65088Shen, Jie; Wang, Cheng; Wang, Xiaoming; Wise, Steven M. 213 2012 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. 205 2014 Data oscillation and convergence of adaptive FEM. Zbl 0970.65113Morin, Pedro; Nochetto, Ricardo H.; Siebert, Kunibert G. 205 2000 An anisotropic sparse grid stochastic collocation method for partial differential equations with random input data. Zbl 1176.65007Nobile, F.; Tempone, R.; Webster, C. G. 204 2008 Collocation at Gaussian points. Zbl 0232.65065de Boor, Carl; Swartz, Blair 204 1973 A posteriori error estimates for a discontinuous Galerkin approximation of second-order elliptic problems. Zbl 1058.65120Karakashian, Ohannes A.; Pascal, Frederic 204 2003 Analysis of some Krylov subspace approximations to the matrix exponential operator. Zbl 0749.65030Saad, Y. 202 1992 A mortar finite element method using dual spaces for the Lagrange multiplier. Zbl 0974.65105Wohlmuth, Barbara I. 201 2000 Numerical methods for nonconservative hyperbolic systems: A theoretical framework. Zbl 1130.65089Parés, Carlos 199 2006 Mean-square and asymptotic stability of the stochastic theta method. Zbl 0982.60051Higham, Desmond J. 197 2000 A local discontinuous Galerkin method for KdV type equations. Zbl 1021.65050Yan, Jue; Shu, Chi-Wang 197 2002 The conjugate gradient method and trust regions in large scale optimization. Zbl 0518.65042Steihaug, Trond 197 1983 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 194 2001 Stability analysis of numerical schemes for stochastic differential equations. Zbl 0869.60052Saito, Yoshihiro; Mitsui, Taketomo 193 1996 Iterative solution of implicit approximations of multidimensional partial differential equations. Zbl 0197.13304Stone, H. L. 193 1968 On the angle condition in the finite element method. Zbl 0324.65046Babuška, Ivo; Aziz, A. K. 192 1976 The differentiation of pseudo-inverses and nonlinear least squares problems whose variables separate. Zbl 0258.65045Golub, G. H.; Pereyra, V. 191 1973 Optimized Schwarz methods. Zbl 1117.65165Gander, Martin J. 189 2006 Explicit exponential Runge-Kutta methods for semilinear parabolic problems. Zbl 1093.65052Hochbruck, Marlis; Ostermann, Alexander 186 2005 An analysis of the total least squares problem. Zbl 0468.65011Golub, Gene H.; Van Loan, Charles F. 185 1980 A family of fourth-order methods for nonlinear equations. Zbl 0266.65040King, Richard F. 185 1973 Stability analysis of large time-stepping methods for epitaxial growth models. Zbl 1127.65069Xu, Chuanju; Tang, Tao 182 2006 Convergence of the mimetic finite difference method for diffusion problems on polyhedral meshes. Zbl 1108.65102Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail 182 2005 Comparing numerical methods for ordinary differential equations. Zbl 0221.65115Hull, T. E.; Enright, W. H.; Fellen, B. M.; Sedgwick, A. E. 181 1972 A generalization of a theorem of Böcher. Zbl 0173.02703Marden, M. 180 1966 Sharp error estimate of the nonuniform L1 formula for linear reaction-subdiffusion equations. Zbl 1447.65026Liao, Hong-lin; Li, Dongfang; Zhang, Jiwei 180 2018 On the accuracy of the finite volume element method based on piecewise linear polynomials. Zbl 1036.65084Ewing, Richard E.; Lin, Tao; Lin, Yanping 179 2002 Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences. Zbl 0880.65084Arbogast, Todd; Wheeler, Mary F.; Yotov, Ivan 178 1997 Application of an ultra weak variational formulation of elliptic PDEs to the two-dimensional Helmholtz problem. Zbl 0955.65081Cessenat, Olivier; Despres, Bruno 178 1998 Fundamental solutions method for elliptic boundary value problems. Zbl 0579.65121Bogomolny, Alexander 178 1985 Explicit Runge-Kutta (-Nyström) methods with reduced phase errors for computing oscillating solutions. Zbl 0624.65058Van der Houwen, P. J.; Sommeijer, B. P. 177 1987 Error estimates for a semidiscrete finite element method for fractional order parabolic equations. Zbl 1268.65126Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 176 2013 The approximate solution of elliptic boundary-value problems by fundamental solutions. Zbl 0368.65058Mathon, Rudolf; Johnston, R. L. 174 1977 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 171 1997 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. 171 1991 Image selective smoothing and edge detection by nonlinear diffusion. II. Zbl 0766.65117Alvarez, Luis; Lions, Pierre-Louis; Morel, Jean-Michel 170 1992 The numerical solution of Fredholm integral equations of the second kind. Zbl 0155.47404Atkinson, K. E. 169 1967 An energy stable and convergent finite-difference scheme for the modified phase field crystal equation. Zbl 1230.82005Wang, C.; Wise, S. M. 169 2011 Rank-adaptive time integration of tree tensor networks. Zbl 1511.65064Ceruti, Gianluca; Lubich, Christian; Sulz, Dominik 3 2023 A new thermodynamically compatible finite volume scheme for magnetohydrodynamics. Zbl 07670867Busto, Saray; Dumbser, Michael 3 2023 Summation-by-parts operators for general function spaces. Zbl 07679126Glaubitz, Jan; Nordström, Jan; Öffner, Philipp 2 2023 Analysis of error localization of Chebyshev spectral approximations. Zbl 07688695Wang, Haiyong 2 2023 Provably positive central discontinuous Galerkin schemes via geometric quasilinearization for ideal MHD equations. Zbl 1516.65102Wu, Kailiang; Jiang, Haili; Shu, Chi-Wang 1 2023 Convergence analysis of Newton-Schur method for symmetric elliptic eigenvalue problem. Zbl 07670866Shao, Nian; Chen, Wenbin 1 2023 Adaptive VEM: stabilization-free a posteriori error analysis and contraction property. Zbl 1512.65258Beirão da Veiga, L.; Canuto, C.; Nochetto, R. H.; Vacca, G.; Verani, M. 1 2023 Computational lower bounds of the Maxwell eigenvalues. Zbl 07670874Gallistl, Dietmar; Olkhovskiy, Vladislav 1 2023 A symmetrized parametric finite element method for anisotropic surface diffusion of closed curves. Zbl 1512.65205Bao, Weizhu; Jiang, Wei; Li, Yifei 1 2023 Fluid-fluid interaction problems at high Reynolds numbers: reducing the modeling error with LES-C. Zbl 07679125Aggul, Mustafa; Labovsky, Alexander E.; Onal, Eda; Schwiebert, Kyle J. 1 2023 A numerical energy reduction approach for semilinear diffusion-reaction boundary value problems based on steady-state iterations. Zbl 07679127Amrein, Mario; Heid, Pascal; Wihler, Thomas P. 1 2023 Optimization and convergence of numerical attractors for discrete-time quasi-linear lattice system. Zbl 1512.65161Li, Yangrong; Yang, Shuang; Caraballo, Tomás 1 2023 Optimal analysis of non-uniform Galerkin-mixed finite element approximations to the Ginzburg-Landau equations in superconductivity. Zbl 1514.65128Gao, Huadong; Sun, Weiwei 1 2023 Value-gradient based formulation of optimal control problem and machine learning algorithm. Zbl 07688696Bensoussan, Alain; Han, Jiayue; Yam, Sheung Chi Phillip; Zhou, Xiang 1 2023 Geometric two-scale integrators for highly oscillatory system: uniform accuracy and near conservations. Zbl 1517.65128Wang, Bin; Zhao, Xiaofei 1 2023 POD-ROMs for incompressible flows including snapshots of the temporal derivative of the full order solution. Zbl 1516.65086García-Archilla, Bosco; John, Volker; Novo, Julia 1 2023 Wavenumber explicit convergence of a multiscale generalized finite element method for heterogeneous Helmholtz problems. Zbl 1517.65085Chupeng, Ma; Alber, Christian; Scheichl, Robert 1 2023 A local discontinuous Galerkin approximation for the \(p\)-Navier-Stokes system. I: Convergence analysis. Zbl 07713537Kaltenbach, Alex; RůžIčka, Michael 1 2023 A local discontinuous Galerkin approximation for the \(p\) -Navier-Stokes system. II: Convergence rates for the velocity. Zbl 07713538Kaltenbach, Alex; Růžička, Michael 1 2023 A local discontinuous Galerkin approximation for the \(p\)-Navier-Stokes system. III: Convergence rates for the pressure. Zbl 07713543Kaltenbach, Alex; Růžička, Michael 1 2023 \(p\)-robust Equilibrated flux reconstruction in \(\boldsymbol{H}(\mathrm{curl})\) based on local minimizations: application to a posteriori analysis of the curl-curl problem. Zbl 07713544Chaumont-Frelet, Théophile; Vohralík, Martin 1 2023 Convergence analysis of the variational operator splitting scheme for a reaction-diffusion system with detailed balance. Zbl 07516278Liu, Chun; Wang, Cheng; Wang, Yiwei; Wise, Steven M. 8 2022 A new Lagrange multiplier approach for constructing structure preserving schemes. II: Bound preserving. Zbl 1491.65110Cheng, Qing; Shen, Jie 6 2022 Generalized SAV-exponential integrator schemes for Allen-Cahn type gradient flows. Zbl 07572361Ju, Lili; Li, Xiao; Qiao, Zhonghua 6 2022 Improved uniform error bounds on time-splitting methods for long-time dynamics of the nonlinear Klein-Gordon equation with weak nonlinearity. Zbl 07572363Bao, Weizhu; Cai, Yongyong; Feng, Yue 5 2022 Exponential convolution quadrature for nonlinear subdiffusion equations with nonsmooth initial data. Zbl 1496.65166Li, Buyang; Ma, Shu 5 2022 On the convergence of adaptive stochastic collocation for elliptic partial differential equations with affine diffusion. Zbl 1508.65163Eigel, Martin; Ernst, Oliver G.; Sprungk, Björn; Tamellini, Lorenzo 4 2022 Stratified radiative transfer in a fluid and numerical applications to Earth science. Zbl 1502.35173Golse, François; Pironneau, Olivier R. 4 2022 A family of finite element Stokes complexes in three dimensions. Zbl 07714590Hu, Kaibo; Zhang, Qian; Zhang, Zhimin 4 2022 Stability and error analysis of IMEX SAV schemes for the magneto-hydrodynamic equations. 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