## 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: 5,824 Publications (since 1966) References Indexed: 984 Publications with 34,410 References.
all top 5

### Latest Issues

 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) 44, No. 6 (2006) 44, No. 5 (2006) 44, No. 4 (2006) 44, No. 3 (2006) 44, No. 2 (2006) ...and 139 more Volumes
all top 5

### Authors

 38 Carstensen, Carsten 37 Manteuffel, Thomas A. 37 Wheeler, Mary Fanett 36 Babuška, Ivo 34 Du, Qiang 31 Cockburn, Bernardo 30 Shu, Chi-Wang 29 Cai, Zhiqiang 29 McCormick, Steve Fahrney 29 Nochetto, Ricardo Horacio 25 Shen, Jie 25 Sloan, Ian Hugh 24 Gunzburger, Max D. 23 Schwab, Christoph 23 Süli, Endre E. 22 Ainsworth, Mark 22 Ewing, Richard Edward 22 Sun, Weiwei 21 Li, Buyang 20 Rheinboldt, Werner C. 20 Widlund, Olof B. 19 Bartels, Sören 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 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 Lazarov, Raytcho D. 16 Maday, Yvon 16 Quarteroni, Alfio M. 16 Walkington, Noel J. 15 Arbogast, Todd 15 Bernardi, Christine 15 Prohl, Andreas 15 Thomée, Vidar 15 Zhang, Zhimin 14 Atkinson, Kendall Eugene 14 Barrett, John William 14 Beirão da Veiga, Lourenço 14 Brunner, Hermann 14 Dahmen, Wolfgang A. 14 Dawson, Clint N. 14 Ern, Alexandre 14 Gottlieb, David I. 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 Bialecki, Bernard 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 Makridakis, Charalambos G. 13 Nicolaides, Roy A. 13 Schötzau, Dominik 13 Yotov, Ivan 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 Gopalakrishnan, Jayadeep 12 Joly, Patrick 12 Luskin, Mitchell 12 Ma, Heping 12 Petzold, Linda Ruth 12 Sauter, Stefan A. 12 Stuart, Andrew M. 12 Trefethen, Lloyd Nicholas 11 Bao, Weizhu 11 Bramble, James H. 11 Dick, Josef 11 Dryja, Maksymilian 11 Gatica, Gabriel N. 11 Guo, Benqi 11 Heuer, Norbert 11 Hiptmair, Ralf 11 Hong, Jialin 11 Jin, Shi 11 Keller, Herbert Bishop ...and 5,056 more Authors
all top 5

### Fields

 5,238 Numerical analysis (65-XX) 2,296 Partial differential equations (35-XX) 747 Fluid mechanics (76-XX) 449 Approximations and expansions (41-XX) 444 Ordinary differential equations (34-XX) 255 Mechanics of deformable solids (74-XX) 247 Integral equations (45-XX) 247 Calculus of variations and optimal control; optimization (49-XX) 206 Probability theory and stochastic processes (60-XX) 173 Operations research, mathematical programming (90-XX) 165 Optics, electromagnetic theory (78-XX) 158 Operator theory (47-XX) 141 Statistical mechanics, structure of matter (82-XX) 133 Linear and multilinear algebra; matrix theory (15-XX) 103 Dynamical systems and ergodic theory (37-XX) 85 Computer science (68-XX) 76 Harmonic analysis on Euclidean spaces (42-XX) 62 Functional analysis (46-XX) 59 Biology and other natural sciences (92-XX) 55 Systems theory; control (93-XX) 54 Functions of a complex variable (30-XX) 49 Real functions (26-XX) 47 Statistics (62-XX) 46 Special functions (33-XX) 41 Global analysis, analysis on manifolds (58-XX) 40 Quantum theory (81-XX) 40 Geophysics (86-XX) 39 Information and communication theory, circuits (94-XX) 36 Potential theory (31-XX) 36 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) 28 Integral transforms, operational calculus (44-XX) 23 Number theory (11-XX) 21 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) 8 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) 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)

### Citations contained in zbMATH Open

5,456 Publications have been cited 131,371 times in 64,677 Documents Cited by Year
Unified analysis of discontinuous Galerkin methods for elliptic problems. Zbl 1008.65080
Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, L. Donatella
2002
The local discontinuous Galerkin method for time-dependent convection-diffusion systems. Zbl 0927.65118
Cockburn, Bernardo; Shu, Chi-Wang
1998
On the construction and comparison of difference schemes. Zbl 0184.38503
Strang, Gilbert
1968
Splitting algorithms for the sum of two nonlinear operators. Zbl 0426.65050
Lions, Pierre-Louis; Mercier, B.
1979
An interior penalty finite element method with discontinuous elements. Zbl 0482.65060
Arnold, Douglas N.
1982
The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. Zbl 0811.65083
LeVeque, Randall J.; Li, Zhilin
1994
High resolution schemes using flux limiters for hyperbolic conservation laws. Zbl 0565.65048
Sweby, P. K.
1984
A convergent adaptive algorithm for Poisson’s equation. Zbl 0854.65090
Dörfler, Willy
1996
Inexact Newton methods. Zbl 0478.65030
Dembo, Ron S.; Eisenstat, Stanley C.; Steihaug, Trond
1982
A nonmonotone line search technique for Newton’s method. Zbl 0616.65067
Grippo, L.; Lampariello, F.; Lucidi, S.
1986
Unified hybridization of discontinuous Galerkin, mixed, and continuous Galerkin methods for second order elliptic problems. Zbl 1205.65312
Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Lazarov, Raytcho
2009
Error estimates for adaptive finite element computations. Zbl 0398.65069
Babuška, Ivo; Rheinboldt, W. C.
1978
Solution of sparse indefinite systems of linear equations. Zbl 0319.65025
Paige, C. C.; Saunders, M. A.
1975
Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures. Zbl 0492.65051
Douglas, Jim jun.; Russell, Thomas F.
1982
Finite element approximation of the nonstationary Navier-Stokes problem. I. Regularity of solutions and second-order error estimates for spatial discretization. Zbl 0487.76035
Heywood, John G.; Rannacher, Rolf
1982
Implicit-explicit methods for time-dependent partial differential equations. Zbl 0841.65081
Ascher, Uri M.; Ruuth, Steven J.; Wetton, Brian T. R.
1995
Finite-element approximation of the nonstationary Navier-Stokes problem. IV: Error analysis for second-order time discretization. Zbl 0694.76014
Heywood, John G.; Rannacher, Rolf
1990
A stochastic collocation method for elliptic partial differential equations with random input data. Zbl 1151.65008
Babuška, Ivo; Nobile, Fabio; Tempone, Raúl
2007
A space-time spectral method for the time fractional diffusion equation. Zbl 1193.35243
Li, Xianjuan; Xu, Chuanju
2009
Two-grid discretization techniques for linear and nonlinear PDEs. Zbl 0860.65119
Xu, Jinchao
1996
Galerkin finite element approximations of stochastic elliptic partial differential equations. Zbl 1080.65003
Babuska, Ivo; Tempone, Raúl; Zouraris, Georgios E.
2004
An elliptic collocation-finite element method with interior penalties. Zbl 0384.65058
Wheeler, Mary Fanett
1978
A sparse grid stochastic collocation method for partial differential equations with random input data. Zbl 1176.65137
Nobile, F.; Tempone, R.; Webster, C. G.
2008
Strong convergence of Euler-type methods for nonlinear stochastic differential equations. Zbl 1026.65003
Higham, Desmond J.; Mao, Xuerong; Stuart, Andrew M.
2002
The rotation of eigenvectors by a perturbation. III. Zbl 0198.47201
Davis, Chandler; Kahan, W. M.
1970
Error analysis of a finite difference method on graded meshes for a time-fractional diffusion equation. Zbl 1362.65089
Stynes, Martin; O’Riordan, Eugene; Gracia, José Luis
2017
An explicit finite difference method and a new von Neumann-type stability analysis for fractional diffusion equations. Zbl 1119.65379
Yuste, S. B.; Acedo, L.
2005
Uniformly high-order accurate nonoscillatory schemes. I. Zbl 0627.65102
Harten, Ami; Osher, Stanley
1987
Stability theory for systems of inequalities. II: Differentiable nonlinear systems. Zbl 0347.90050
Robinson, Stephen M.
1976
Numerical methods for the variable-order fractional advection-diffusion equation with a nonlinear source term. Zbl 1204.26013
Zhuang, P.; Liu, Fawang; Anh, V.; Turner, I.
2009
High-resolution conservative algorithms for advection in incompressible flow. Zbl 0852.76057
LeVeque, Randall J.
1996
A well-balanced scheme for the numerical processing of source terms in hyperbolic equations. Zbl 0876.65064
Greenberg, James M.; Le Roux, Alain-Yves
1996
Variational iterative methods for nonsymmetric systems of linear equations. Zbl 0524.65019
Eisenstat, Stanley C.; Elman, Howard C.; Schultz, Martin H.
1983
High-order essentially nonoscillatory schemes for Hamilton-Jacobi equations. Zbl 0736.65066
Osher, Stanley; Shu, Chi-Wang
1991
On the $$O(1/n)$$ convergence rate of the Douglas-Rachford alternating direction method. Zbl 1245.90084
He, Bingsheng; Yuan, Xiaoming
2012
Coupling fluid flow with porous media flow. Zbl 1037.76014
Layton, William J.; Schieweck, Friedhelm; Yotov, Ivan
2003
On Krylov subspace approximations to the matrix exponential operator. Zbl 0888.65032
Hochbruck, Marlis; Lubich, Christian
1997
Finite element method for the space and time fractional Fokker-Planck equation. Zbl 1416.65344
Deng, Weihua
2009
Inexact and preconditioned Uzawa algorithms for saddle point problems. Zbl 0815.65041
Elman, Howard C.; Golub, Gene H.
1994
Quasi-optimal convergence rate for an adaptive finite element method. Zbl 1176.65122
Cascon, J. Manuel; Kreuzer, Christian; Nochetto, Ricardo H.; Siebert, Kunibert G.
2008
A new class of optimal high-order strong-stability-preserving time discretization methods. Zbl 1020.65064
Spiteri, Raymond J.; Ruuth, Steven J.
2002
An a priori error analysis of the local discontinuous Galerkin method for elliptic problems. Zbl 0987.65111
Castillo, Paul; Cockburn, Bernardo; Perugia, Ilaria; Schötzau, Dominik
2000
An algorithm for generalized matrix eigenvalue problems. Zbl 0253.65019
Moler, C. B.; Stewart, G. W.
1973
Image selective smoothing and edge detection by nonlinear diffusion. Zbl 0746.65091
Catté, Francine; Lions, Pierre-Louis; Morel, Jean-Michel; Coll, Tomeu
1992
Diagonally implicit Runge-Kutta methods for stiff O.D.E.’s. Zbl 0374.65038
Alexander, Roger
1977
Error estimate procedure in the finite element method and applications. Zbl 0582.65078
1983
Poincaré–Friedrichs inequalities for piecewise $$H^{1}$$ functions. Zbl 1045.65100
Brenner, Susanne C.
2003
A priori $$L_2$$ error estimates for Galerkin approximations to parabolic partial differential equations. Zbl 0232.35060
Wheeler, Mary Fanett
1972
Some error estimates for the box method. Zbl 0634.65105
Bank, Randolph E.; Rose, Donald J.
1987
Discontinuous $$hp$$-finite element methods for advection-diffusion-reaction problems. Zbl 1015.65067
Houston, Paul; Schwab, Christoph; Süli, Endre
2002
New solution and analytical techniques of the implicit numerical method for the anomalous subdiffusion equation. Zbl 1173.26006
Zhuang, P.; Liu, Fawang; Anh, V.; Turner, I.
2008
Stabilization of low-order mixed finite elements for the Stokes equations. Zbl 1145.76015
Bochev, Pavel B.; Dohrmann, Clark R.; Gunzburger, Max D.
2006
Galerkin proper orthogonal decomposition methods for a general equation in fluid dynamics. Zbl 1075.65118
Kunisch, K.; Volkwein, S.
2002
Monotone piecewise cubic interpolation. Zbl 0423.65011
Fritsch, F. N.; Carlson, R. E.
1980
An energy-stable and convergent finite-difference scheme for the phase field crystal equation. Zbl 1201.35027
Wise, S. M.; Wang, Cheng; Lowengrub, J. S.
2009
Adaptive finite element methods for parabolic problems. I: A linear model problem. Zbl 0732.65093
Eriksson, Kenneth; Johnson, Claes
1991
On Godunov-type methods for gas dynamics. Zbl 0642.76088
Einfeldt, Bernd
1988
On direct methods for solving Poisson’s equations. Zbl 0217.52902
Buzbee, B. L.; Golub, G. H.; Nielson, C. W.
1970
Nested dissection of a regular finite element mesh. Zbl 0259.65087
George, Alan
1973
Analysis of the inexact Uzawa algorithm for saddle point problems. Zbl 0873.65031
Bramble, James H.; Pasciak, Joseph E.; Vassilev, Apostol T.
1997
Virtual elements for linear elasticity problems. Zbl 1268.74010
Beirao da Veiga, L.; Brezzi, F.; Marini, L. D.
2013
Collocation at Gaussian points. Zbl 0232.65065
de Boor, Carl; Swartz, Blair
1973
Special finite element methods for a class of second order elliptic problems with rough coefficients. Zbl 0807.65114
Babuška, Ivo; Caloz, Gabriel; Osborn, John E.
1994
Data oscillation and convergence of adaptive FEM. Zbl 0970.65113
Morin, Pedro; Nochetto, Ricardo H.; Siebert, Kunibert G.
2000
Analysis of some Krylov subspace approximations to the matrix exponential operator. Zbl 0749.65030
1992
Iterative solution of implicit approximations of multidimensional partial differential equations. Zbl 0197.13304
Stone, H. L.
1968
A posteriori error estimates for a discontinuous Galerkin approximation of second-order elliptic problems. Zbl 1058.65120
Karakashian, Ohannes A.; Pascal, Frederic
2003
A Crank-Nicolson ADI spectral method for a two-dimensional Riesz space fractional nonlinear reaction-diffusion equation. Zbl 1382.65349
Zeng, Fanhai; Liu, Fawang; Li, Changpin; Burrage, Kevin; Turner, Ian; Anh, V.
2014
The conjugate gradient method and trust regions in large scale optimization. Zbl 0518.65042
Steihaug, Trond
1983
A mortar finite element method using dual spaces for the Lagrange multiplier. Zbl 0974.65105
Wohlmuth, Barbara I.
2000
An anisotropic sparse grid stochastic collocation method for partial differential equations with random input data. Zbl 1176.65007
Nobile, F.; Tempone, R.; Webster, C. G.
2008
On the angle condition in the finite element method. Zbl 0324.65046
Babuška, Ivo; Aziz, A. K.
1976
Mean-square and asymptotic stability of the stochastic theta method. Zbl 0982.60051
Higham, Desmond J.
2000
A priori error estimates for finite element methods based on discontinuous approximation spaces for elliptic problems. Zbl 1010.65045
Rivière, Béatrice; Wheeler, Mary F.; Girault, Vivette
2001
Second-order convex splitting schemes for gradient flows with Ehrlich-Schwoebel type energy: Application to thin film epitaxy. Zbl 1247.65088
Shen, Jie; Wang, Cheng; Wang, Xiaoming; Wise, Steven M.
2012
A local discontinuous Galerkin method for KdV type equations. Zbl 1021.65050
Yan, Jue; Shu, Chi-Wang
2002
A family of fourth-order methods for nonlinear equations. Zbl 0266.65040
King, Richard F.
1973
Stability analysis of numerical schemes for stochastic differential equations. Zbl 0869.60052
Saito, Yoshihiro; Mitsui, Taketomo
1996
Comparing numerical methods for ordinary differential equations. Zbl 0221.65115
Hull, T. E.; Enright, W. H.; Fellen, B. M.; Sedgwick, A. E.
1972
Explicit Runge-Kutta (-Nyström) methods with reduced phase errors for computing oscillating solutions. Zbl 0624.65058
Van der Houwen, P. J.; Sommeijer, B. P.
1987
Fundamental solutions method for elliptic boundary value problems. Zbl 0579.65121
Bogomolny, Alexander
1985
Convergence of the mimetic finite difference method for diffusion problems on polyhedral meshes. Zbl 1108.65102
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail
2005
On the accuracy of the finite volume element method based on piecewise linear polynomials. Zbl 1036.65084
Ewing, Richard E.; Lin, Tao; Lin, Yanping
2002
An analysis of the total least squares problem. Zbl 0468.65011
Golub, Gene H.; Van Loan, Charles F.
1980
The differentiation of pseudo-inverses and nonlinear least squares problems whose variables separate. Zbl 0258.65045
Golub, G. H.; Pereyra, V.
1973
The numerical solution of Fredholm integral equations of the second kind. Zbl 0155.47404
Atkinson, K. E.
1967
Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences. Zbl 0880.65084
Arbogast, Todd; Wheeler, Mary F.; Yotov, Ivan
1997
Explicit exponential Runge-Kutta methods for semilinear parabolic problems. Zbl 1093.65052
Hochbruck, Marlis; Ostermann, Alexander
2005
The approximate solution of elliptic boundary-value problems by fundamental solutions. Zbl 0368.65058
Mathon, Rudolf; Johnston, R. L.
1977
Application of an ultra weak variational formulation of elliptic PDEs to the two-dimensional Helmholtz problem. Zbl 0955.65081
Cessenat, Olivier; Despres, Bruno
1998
Numerical methods for nonconservative hyperbolic systems: A theoretical framework. Zbl 1130.65089
Parés, Carlos
2006
A generalization of a theorem of Böcher. Zbl 0173.02703
Marden, M.
1966
Stability analysis of large time-stepping methods for epitaxial growth models. Zbl 1127.65069
Xu, Chuanju; Tang, Tao
2006
Image selective smoothing and edge detection by nonlinear diffusion. II. Zbl 0766.65117
Alvarez, Luis; Lions, Pierre-Louis; Morel, Jean-Michel
1992
Two-level method based on finite element and Crank-Nicolson extrapolation for the time-dependent Navier-Stokes equations. Zbl 1130.76365
He, Yinnian
2003
Error estimates for a semidiscrete finite element method for fractional order parabolic equations. Zbl 1268.65126
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi
2013
Estimation of linear functionals on Sobolev spaces with application to Fourier transforms and spline interpolation. Zbl 0201.07803
Bramble, J. H.; Hilbert, S. R.
1970
Optimized Schwarz methods. Zbl 1117.65165
Gander, Martin J.
2006
Sticky particles and scalar conservation laws. Zbl 0924.35080
Brenier, Yann; Grenier, Emmanuel
1998
A globally convergent augmented Lagrangian algorithm for optimization with general constraints and simple bounds. Zbl 0724.65067
Conn, Andrew R.; Gould, Nicholas I. M.; Toint, Philippe L.
1991
Exponential convolution quadrature for nonlinear subdiffusion equations with nonsmooth initial data. Zbl 07498291
2022
Convergence analysis of the variational operator splitting scheme for a reaction-diffusion system with detailed balance. Zbl 07516278
Liu, Chun; Wang, Cheng; Wang, Yiwei; Wise, Steven M.
2022
Fractional semilinear optimal control: optimality conditions, convergence, and error analysis. Zbl 07463749
Otárola, Enrique
2022
A discrete velocity numerical scheme for the two-dimensional bitemperature Euler system. Zbl 1482.65158
Aregba-Driollet, Denise; Brull, Stéphane; Prigent, Corentin
2022
Locking-free enriched Galerkin method for linear elasticity. Zbl 1483.65195
Yi, Son-Young; Lee, Sanghyun; Zikatanov, Ludmil
2022
Convergence analysis of inexact two-grid methods: a theoretical framework. Zbl 1481.65049
Xu, Xuefeng; Zhang, Chen-Song
2022
On the convergence of adaptive stochastic collocation for elliptic partial differential equations with affine diffusion. Zbl 07506904
Eigel, Martin; Ernst, Oliver G.; Sprungk, Björn; Tamellini, Lorenzo
2022
Uniformly accurate low regularity integrators for the Klein-Gordon equation from the classical to nonrelativistic limit regime. Zbl 07516282
Calvo, María Cabrera; Schratz, Katharina
2022
An embedded exponential-type low-regularity integrator for mKdV equation. Zbl 07534667
Ning, Cui; Wu, Yifei; Zhao, Xiaofei
2022
A convergent interacting particle method and computation of KPP front speeds in chaotic flows. Zbl 07538279
Lyu, Junlong; Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen
2022
Flux-mortar mixed finite element methods on nonmatching grids. Zbl 07538281
Boon, Wietse M.; Gläser, Dennis; Helmig, Rainer; Yotov, Ivan
2022
Sharper error estimates for virtual elements and a bubble-enriched version. Zbl 07565248
Beirão da Veiga, L.; Vacca, G.
2022
Finite elements for div- and divdiv-conforming symmetric tensors in arbitrary dimension. Zbl 07572362
Chen, Long; Huang, Xuehai
2022
On convergence of numerical solutions for the compressible MHD system with exactly divergence-free magnetic field. Zbl 07572371
Li, Yang; She, Bangwei
2022
Convergence analysis of machine learning algorithms for the numerical solution of mean field control and games. I: The ergodic case. Zbl 1479.65013
Carmona, René; Laurière, Mathieu
2021
Deep neural networks algorithms for stochastic control problems on finite horizon: convergence analysis. Zbl 1466.65007
Huré, Côme; Pham, Huyên; Bachouch, Achref; Langrené, Nicolas
2021
High-order mass- and energy-conserving SAV-Gauss collocation finite element methods for the nonlinear Schrödinger equation. Zbl 1477.65254
Feng, Xiaobing; Li, Buyang; Ma, Shu
2021
Convergence of the random batch method for interacting particles with disparate species and weights. Zbl 1466.65011
Jin, Shi; Li, Lei; Liu, Jian-Guo
2021
Error estimates of some splitting schemes for charged-particle dynamics under strong magnetic field. Zbl 07383913
Wang, Bin; Zhao, Xiaofei
2021
Staggered DG method for coupling of the Stokes and Darcy-Forchheimer problems. Zbl 1456.65172
Zhao, Lina; Chung, Eric T.; Park, Eun-Jae; Zhou, Guanyu
2021
Asymptotically compatible reproducing kernel collocation and meshfree integration for nonlocal diffusion. Zbl 1456.82636
Leng, Yu; Tian, Xiaochuan; Trask, Nathaniel; Foster, John T.
2021
Discovery of dynamics using linear multistep methods. Zbl 1466.65050
Keller, Rachael T.; Du, Qiang
2021
Spectral convergence of diffusion maps: improved error bounds and an alternative normalization. Zbl 1486.65237
Wormell, Caroline L.; Reich, Sebastian
2021
A general framework of low regularity integrators. Zbl 1486.65127
Rousset, Frédéric; Schratz, Katharina
2021
Solving parabolic moving interface problems with dynamical immersed spaces on unfitted meshes: fully discrete analysis. Zbl 1466.65134
Guo, Ruchi
2021
Error estimates for the optimal control of a parabolic fractional PDE. Zbl 1464.49001
Glusa, Christian; Otárola, Enrique
2021
Computational methods for first-order nonlocal mean field games with applications. Zbl 1477.35276
Liu, Siting; Jacobs, Matthew; Li, Wuchen; Nurbekyan, Levon; Osher, Stanley J.
2021
A structure-preserving parametric finite element method for surface diffusion. Zbl 1489.65136
Bao, Weizhu; Zhao, Quan
2021
Enhancing accuracy of deep learning algorithms by training with low-discrepancy sequences. Zbl 07372628
Mishra, Siddhartha; Rusch, T. Konstantin
2021
On the Sobolev and $$L^p$$-stability of the $$L^2$$-projection. Zbl 1477.65207
Diening, Lars; Storn, Johannes; Tscherpel, Tabea
2021
An artificial compressibility Crank-Nicolson leap-frog method for the Stokes-Darcy model and application in ensemble simulations. Zbl 1467.65084
Jiang, Nan; Li, Ying; Yang, Huanhuan
2021
A high-order approach to elliptic multiscale problems with general unstructured coefficients. Zbl 1468.65201
Maier, Roland
2021
The energy technique for the six-step BDF method. Zbl 1483.65153
Akrivis, Georgios; Chen, Minghua; Yu, Fan; Zhou, Zhi
2021
A pressure-robust discretization of Oseen’s equation using stabilization in the vorticity equation. Zbl 1477.65185
Ahmed, Naveed; Barrenechea, Gabriel R.; Burman, Erik; Guzmán, Johnny; Linke, Alexander; Merdon, Christian
2021
Modeling and analysis of the coupling in discrete fracture matrix models. Zbl 1473.65338
Gander, Martin J.; Hennicker, Julian; Masson, Roland
2021
An efficient and convergent finite element scheme for Cahn-Hilliard equations with dynamic boundary conditions. Zbl 1458.35345
Metzger, Stefan
2021
Analysis and approximation of mixed-dimensional PDEs on 3D-1D domains coupled with Lagrange multipliers. Zbl 1460.35109
Kuchta, Miroslav; Laurino, Federica; Mardal, Kent-Andre; Zunino, Paolo
2021
Hybrid localized spectral decomposition for multiscale problems. Zbl 1468.65221
2021
A narrow-stencil finite difference method for approximating viscosity solutions of Hamilton-Jacobi-Bellman equations. Zbl 1468.65174
Feng, Xiaobing; Lewis, Thomas
2021
Carleman-based reconstruction algorithm for waves. Zbl 1461.93213
Baudouin, Lucie; de Buhan, Maya; Ervedoza, Sylvain; Osses, Axel
2021
An oscillation-free discontinuous Galerkin method for scalar hyperbolic conservation laws. Zbl 1467.65095
Lu, Jianfang; Liu, Yong; Shu, Chi-Wang
2021
On discrete shape gradients of boundary type for PDE-constrained shape optimization. Zbl 1466.49035
Gong, Wei; Zhu, Shengfeng
2021
The connections between Lyapunov functions for some optimization algorithms and differential equations. Zbl 1467.65070
Sanz Serna, J. M.; Zygalakis, K. C.
2021
Convergence of Dziuk’s semidiscrete finite element method for mean curvature flow of closed surfaces with high-order finite elements. Zbl 1479.65008
2021
Approximation of high-dimensional periodic functions with Fourier-based methods. Zbl 1476.65022
Potts, Daniel; Schmischke, Michael
2021
Stability and error analysis of a class of high-order IMEX schemes for Navier-Stokes equations with periodic boundary conditions. Zbl 07453432
Huang, Fukeng; Shen, Jie
2021
Hypocoercivity-compatible finite element methods for the long-time computation of Kolmogorov’s equation. Zbl 1456.65112
Georgoulis, Emmanuil H.
2021
Convergence of a second-order energy-decaying method for the viscous rotating shallow water equation. Zbl 1456.65057
Akrivis, Georgios; Li, Buyang; Wang, Jilu
2021
Error analysis of proper orthogonal decomposition stabilized methods for incompressible flows. Zbl 1461.35184
Novo, Julia; Rubino, Samuele
2021
A new stability and convergence proof of the Fourier-Galerkin spectral method for the spatially homogeneous Boltzmann equation. Zbl 1462.35235
Hu, Jingwei; Qi, Kunlun; Yang, Tong
2021
A priori error analysis of a numerical stochastic homogenization method. Zbl 07326332
Fischer, Julian; Gallistl, Dietmar; Peterseim, Daniel
2021
Space-time finite element discretization of parabolic optimal control problems with energy regularization. Zbl 1467.65094
Langer, Ulrich; Steinbach, Olaf; Tröltzsch, Fredi; Yang, Huidong
2021
Adaptive Morley FEM for the von Kármán equations with optimal convergence rates. Zbl 1467.65107
Carstensen, Carsten; Nataraj, Neela
2021
Stability-enhanced AP IMEX1-LDG method: energy-based stability and rigorous AP property. Zbl 1468.65147
Peng, Zhichao; Cheng, Yingda; Qiu, Jing-Mei; Li, Fengyan
2021
Uniform error bounds of time-splitting methods for the nonlinear Dirac equation in the nonrelativistic regime without magnetic potential. Zbl 1462.35318
Bao, Weizhu; Cai, Yongyong; Yin, Jia
2021
Mass conserving mixed $$hp$$-FEM approximations to Stokes flow. I: Uniform stability. Zbl 1465.76049
Ainsworth, Mark; Parker, Charles
2021
Mass conserving mixed $$hp$$-FEM approximations to Stokes flow. II: Optimal convergence. Zbl 1465.76050
Ainsworth, Mark; Parker, Charles
2021
Unstabilized hybrid high-order method for a class of degenerate convex minimization problems. Zbl 1473.65292
Carstensen, Carsten; Tran, Tien
2021
Piecewise divergence-free nonconforming virtual elements for Stokes problem in any dimensions. Zbl 1468.76054
Wei, Huayi; Huang, Xuehai; Li, Ao
2021
Strong convergence of a Verlet integrator for the semilinear stochastic wave equation. Zbl 1471.60094
Banjai, Lehel; Lord, Gabriel; Molla, Jeta
2021
Positivity of discrete time-fractional operators with applications to phase-field equations. Zbl 07383911
Karaa, Samir
2021
Analysis of radial complex scaling methods: scalar resonance problems. Zbl 1477.65215
Halla, Martin
2021
Space-time approximation of stochastic $$p$$-Laplace-type systems. Zbl 07383918
Breit, Dominic; Hofmanová, Martina; Loisel, Sébastien
2021
Finite element approximation of the modified Maxwell’s Stekloff eigenvalues. Zbl 1479.35305
Gong, Bo; Sun, Jiguang; Wu, Xinming
2021
Reciprocal-log approximation and planar PDE solvers. Zbl 1482.65220
Nakatsukasa, Yuji; Trefethen, Lloyd N.
2021
Asymptotically-preserving large deviations principles by stochastic symplectic methods for a linear stochastic oscillator. Zbl 1466.60055
Chen, Chuchu; Hong, Jialing; Jin, Diancong; Sun, Liying
2021
Error analysis of finite element approximations of diffusion coefficient identification for elliptic and parabolic problems. Zbl 1459.65175
Jin, Bangti; Zhou, Zhi
2021
Improving accuracy of the fifth-order WENO scheme by using the exponential approximation space. Zbl 1461.65228
Ha, Youngsoo; Kim, Chang Ho; Yang, Hyoseon; Yoon, Jungho
2021
A posteriori error analysis of the inf-sup constant for the divergence. Zbl 1456.65145
Gallistl, Dietmar
2021
Time integration of tree tensor networks. Zbl 1461.65203
Ceruti, Gianluca; Lubich, Christian; Walach, Hanna
2021
A Hellan-Herrmann-Johnson-like method for the stream function formulation of the Stokes equations in two and three space dimensions. Zbl 1466.65196
Lederer, Philip L.
2021
Distributed filtered hyperinterpolation for noisy data on the sphere. Zbl 1484.65025
Lin, Shao-bo; Wang, Yu Guang; Zhou, Ding-Xuan
2021
Adaptive mixed finite element methods for non-self-adjoint indefinite second-order elliptic PDEs with optimal rates. Zbl 1468.65185
Carstensen, Carsten; Ma, Rui
2021
Divergence-free Scott-Vogelius elements on curved domains. Zbl 1468.65203
Neilan, Michael; Otus, Baris
2021
A mixed approach to the Poisson problem with line sources. Zbl 1466.35093
Gjerde, Ingeborg G.; Kumar, Kundan; Nordbotten, Jan M.
2021
Low-rank updates of matrix functions. II: Rational Krylov methods. Zbl 1469.65086
Beckermann, Bernhard; Cortinovis, Alice; Kressner, Daniel; Schweitzer, Marcel
2021
Error analysis of energy-preserving mixed finite element methods for the Hodge wave equation. Zbl 1476.65257
Wu, Yongke; Bai, Yanhong
2021
Optimal error analysis of Euler and Crank-Nicolson projection finite difference schemes for Landau-Lifshitz equation. Zbl 1481.65119
An, Rong; Gao, Huadong; Sun, Weiwei
2021
On the infinite order limit of Hermite-based finite difference schemes. Zbl 1484.65240
Abrahamsen, Dylan; Fornberg, Bengt
2021
Local energy estimates for the fractional Laplacian. Zbl 1486.65240
Borthagaray, Juan Pablo; Leykekhman, Dmitriy; Nochetto, Ricardo H.
2021
Error analysis for probabilities of rare events with approximate models. Zbl 07372634
Wagner, Fabian; Latz, Jonas; Papaioannou, Iason; Ullmann, Elisabeth
2021
Stability and convergence analysis of time-domain perfectly matched layers for the wave equation in waveguides. Zbl 07372636
Bécache, Eliane; Kachanovska, Maryna
2021
Numerical analysis of resonances by a slab of subwavelength slits by Fourier-matching method. Zbl 07383914
Zhou, Jiaxin; Lu, Wangtao
2021
On optimal pointwise in time error bounds and difference quotients for the proper orthogonal decomposition. Zbl 07383916
Koc, Birgul; Rubino, Samuele; Schneier, Michael; Singler, John; Iliescu, Traian
2021
A symplectic discontinuous Galerkin full discretization for stochastic Maxwell equations. Zbl 1470.60178
Chen, Chuchu
2021
A polynomial-degree-robust a posteriori error estimator for Nédélec discretizations of magnetostatic problems. Zbl 07383919
Gedicke, Joscha; Geevers, Sjoerd; Perugia, Ilaria; Schöberl, Joachim
2021
Dynamical low-rank integrator for the linear Boltzmann equation: error analysis in the diffusion limit. Zbl 07383920
Ding, Zhiyan; Einkemmer, Lukas; Li, Qin
2021
A convergent structure-preserving finite-volume scheme for the Shigesada-Kawasaki-Teramoto population system. Zbl 1476.65208
Jüngel, Ansgar; Zurek, Antoine
2021
An energy stable and positivity-preserving scheme for the Maxwell-Stefan diffusion system. Zbl 07410698
Huo, Xiaokai; Liu, Hailiang; Tzavaras, Athanasios E.; Wang, Shuaikun
2021
Error analysis for a finite difference scheme for axisymmetric mean curvature flow of genus-0 surfaces. Zbl 1479.65003
Deckelnick, Klaus; Nürnberg, Robert
2021
Convergence of Dziuk’s fully discrete linearly implicit scheme for curve shortening flow. Zbl 07423175
Ye, Changqing; Cui, Junzhi
2021
Numerical maximization of the $$p$$-Laplacian energy of a two-phase material. Zbl 1481.49027
Casado-Díaz, Juan; Conca, Carlos; Vásquez-Varas, Donato
2021
On energy stable, maximum-principle preserving, second-order BDF scheme with variable steps for the Allen-Cahn equation. Zbl 1447.65083
Liao, Hong-lin; Tang, Tao; Zhou, Tao
2020
Optimal regularity and error estimates of a spectral Galerkin method for fractional advection-diffusion-reaction equations. Zbl 1475.65121
Hao, Zhaopeng; Zhang, Zhongqiang
2020
An optimal-order numerical approximation to variable-order space-fractional diffusion equations on uniform or graded meshes. Zbl 1429.65168
Zheng, Xiangcheng; Wang, Hong
2020
Error analysis for a fractional-derivative parabolic problem on quasi-graded meshes using barrier functions. Zbl 1471.65147
Kopteva, Natalia; Meng, Xiangyun
2020
An error estimate of a numerical approximation to a hidden-memory variable-order space-time fractional diffusion equation. Zbl 1450.65135
Zheng, Xiangcheng; Wang, Hong
2020
A proof that Anderson acceleration improves the convergence rate in linearly converging fixed-point methods (but not in those converging quadratically). Zbl 1433.65102
Evans, Claire; Pollock, Sara; Rebholz, Leo G.; Xiao, Mengying
2020
Error analysis of the SAV-MAC scheme for the Navier-Stokes equations. Zbl 1452.65167
Li, Xiaoli; Shen, Jie
2020
Uniform in time error estimates for a finite element method applied to a downscaling data assimilation algorithm for the Navier-Stokes equations. Zbl 1448.65157
García-Archilla, Bosco; Novo, Julia; Titi, Edriss S.
2020
...and 1734 more Documents
all top 5

### Cited by 47,694 Authors

 203 Shu, Chi-Wang 200 Dehghan Takht Fooladi, Mehdi 181 He, Yinnian 152 Argyros, Ioannis Konstantinos 137 Chen, Yanping 133 Carstensen, Carsten 130 Huang, Yunqing 128 Schwab, Christoph 123 Shi, Dongyang 118 Zhang, Zhimin 113 Wang, Hong 103 Cockburn, Bernardo 103 Liu, Fawang 102 Gatica, Gabriel N. 98 Gunzburger, Max D. 97 Rui, Hongxing 96 Burman, Erik 95 Simos, Theodore E. 95 Wheeler, Mary Fanett 93 Shen, Jie 92 Du, Qiang 92 Feng, Xinlong 91 Jackiewicz, Zdzislaw 91 Quarteroni, Alfio M. 90 Babuška, Ivo 90 Evans, David John 89 Zhang, Shangyou 88 Chung, Tsz Shun Eric 86 Wei, Yimin 84 Beirão da Veiga, Lourenço 84 Nochetto, Ricardo Horacio 83 Huang, Ting-Zhu 81 Axelsson, Axel Owe Holger 81 Dumbser, Michael 81 Ye, Xiu 80 Brenner, Susanne Cecelia 80 Ern, Alexandre 80 Karniadakis, George Em 80 Wang, Cheng 80 Xu, Jinchao 79 Demkowicz, Leszek F. 79 Li, Jichun 78 Hughes, Thomas J. R. 78 Wohlmuth, Barbara I. 77 Praetorius, Dirk 76 Guo, Ben-Yu 76 Hou, Yanren 76 Huang, Chengming 75 Gander, Martin Jakob 75 Yang, Xiaofeng 74 Bai, Zhongzhi 71 Chen, Zhangxin 71 Codina, Ramon 70 Lubich, Christian 70 Rebholz, Leo G. 70 Sloan, Ian Hugh 70 Turner, Ian William 70 Wu, Xinyuan 70 Xu, Da 69 Luo, Zhendong 69 Martínez, José Mario 68 Burrage, Kevin 67 Nordström, Jan 66 Nicaise, Serge 66 Sun, Shuyu 65 Han, Weimin 65 Li, Buyang 65 Li, Hong 65 Petković, Miodrag S. 65 Stephan, Ernst Peter 64 Larson, Mats G. 64 Osher, Stanley Joel 64 Sun, Zhizhong 63 Guermond, Jean-Luc 63 Jiang, Yaolin 63 Manzini, Gianmarco 63 Reichel, Lothar 62 Jin, Shi 62 Li, Zhilin 62 Pani, Amiya Kumar 62 Serra-Capizzano, Stefano 60 Dick, Josef 60 Stynes, Martin 59 Amat, Sergio P. 59 Di Pietro, Daniele Antonio 59 Zhu, Detong 58 Hansbo, Peter 58 Heuer, Norbert 58 Li, Jian 57 Ju, Lili 57 Layton, William J. 57 Maday, Yvon 57 Ruiz-Baier, Ricardo 57 Vohralík, Martin 57 Weiner, Rüdiger 57 Yuan, Yirang 56 Huang, Pengzhan 56 Li, Zi-Cai 56 Mei, Liquan 56 Ostermann, Alexander ...and 47,594 more Authors
all top 5

### Cited in 1,064 Journals

 4,584 Journal of Computational Physics 3,882 Journal of Computational and Applied Mathematics 2,800 Computer Methods in Applied Mechanics and Engineering 2,620 Applied Mathematics and Computation 2,222 Applied Numerical Mathematics 2,211 Computers & Mathematics with Applications 2,107 Journal of Scientific Computing 1,870 Numerische Mathematik 1,651 Mathematics of Computation 1,156 SIAM Journal on Scientific Computing 1,093 Numerical Algorithms 1,023 Linear Algebra and its Applications 1,004 International Journal of Computer Mathematics 855 SIAM Journal on Numerical Analysis 839 Computers and Fluids 827 BIT 754 Journal of Mathematical Analysis and Applications 621 Numerical Methods for Partial Differential Equations 572 Computing 559 International Journal for Numerical Methods in Engineering 532 Journal of Optimization Theory and Applications 531 Advances in Computational Mathematics 523 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 486 Journal of Approximation Theory 471 Applied Mathematics Letters 464 Numerical Functional Analysis and Optimization 424 Mathematics and Computers in Simulation 395 Calcolo 395 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 391 Engineering Analysis with Boundary Elements 377 Computational Optimization and Applications 372 Applied Mathematical Modelling 348 Computational Mechanics 327 Computational and Applied Mathematics 308 International Journal for Numerical Methods in Fluids 286 Mathematical Programming. Series A. Series B 281 Communications in Computational Physics 279 Applicable Analysis 276 Numerical Linear Algebra with Applications 245 Journal of Fluid Mechanics 243 Mathematical Problems in Engineering 239 Computational Geosciences 232 Mathematical Methods in the Applied Sciences 225 Journal of Differential Equations 225 Advances in Applied Mathematics and Mechanics 222 Journal of Complexity 222 Optimization Methods & Software 215 SIAM Journal on Matrix Analysis and Applications 213 Computational Methods in Applied Mathematics 211 Journal of Applied Mathematics and Computing 205 Mathematical and Computer Modelling 201 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 200 Optimization 198 Communications in Nonlinear Science and Numerical Simulation 197 Inverse Problems 197 Computer Aided Geometric Design 193 Physica D 192 Multiscale Modeling & Simulation 191 Abstract and Applied Analysis 180 Japan Journal of Industrial and Applied Mathematics 177 Advances in Difference Equations 165 Journal of Integral Equations and Applications 165 Applied and Computational Harmonic Analysis 164 Journal of Global Optimization 161 SIAM Journal on Optimization 159 RAIRO. Modélisation Mathématique et Analyse Numérique 158 Foundations of Computational Mathematics 158 Discrete and Continuous Dynamical Systems. Series B 156 Comptes Rendus. Mathématique. Académie des Sciences, Paris 154 SIAM/ASA Journal on Uncertainty Quantification 153 Automatica 150 Applications of Mathematics 144 Journal of Mathematical Imaging and Vision 142 Applied Mathematics and Mechanics. (English Edition) 140 Science China. Mathematics 139 Computer Physics Communications 135 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 134 East Asian Journal on Applied Mathematics 132 International Journal of Numerical Analysis and Modeling 131 Applied Mathematics and Optimization 128 Journal of Numerical Mathematics 126 Acta Mathematicae Applicatae Sinica. English Series 124 Journal of Inequalities and Applications 123 Communications in Numerical Methods in Engineering 118 Mathematical Programming 117 Journal of Applied Mathematics 117 Inverse Problems in Science and Engineering 117 BIT. Nordisk Tidskrift for Informationsbehandling 113 Archive for Rational Mechanics and Analysis 113 SIAM Journal on Control and Optimization 108 SIAM Journal on Imaging Sciences 105 European Journal of Operational Research 105 SIAM Journal on Mathematical Analysis 104 Journal of Inverse and Ill-Posed Problems 102 Chaos, Solitons and Fractals 102 International Journal of Computational Fluid Dynamics 101 Journal of Mathematical Chemistry 100 Wave Motion 100 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 99 Nonlinear Analysis. Theory, Methods & Applications ...and 964 more Journals
all top 5

### Cited in 62 Fields

 45,703 Numerical analysis (65-XX) 18,815 Partial differential equations (35-XX) 12,412 Fluid mechanics (76-XX) 4,902 Mechanics of deformable solids (74-XX) 4,659 Operations research, mathematical programming (90-XX) 4,450 Ordinary differential equations (34-XX) 3,582 Calculus of variations and optimal control; optimization (49-XX) 3,094 Approximations and expansions (41-XX) 2,573 Probability theory and stochastic processes (60-XX) 2,331 Linear and multilinear algebra; matrix theory (15-XX) 2,209 Integral equations (45-XX) 2,056 Operator theory (47-XX) 1,816 Optics, electromagnetic theory (78-XX) 1,758 Computer science (68-XX) 1,665 Biology and other natural sciences (92-XX) 1,538 Statistical mechanics, structure of matter (82-XX) 1,497 Statistics (62-XX) 1,457 Systems theory; control (93-XX) 1,360 Dynamical systems and ergodic theory (37-XX) 1,090 Information and communication theory, circuits (94-XX) 1,045 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 985 Real functions (26-XX) 899 Classical thermodynamics, heat transfer (80-XX) 826 Geophysics (86-XX) 790 Harmonic analysis on Euclidean spaces (42-XX) 567 Functions of a complex variable (30-XX) 561 Functional analysis (46-XX) 509 Mechanics of particles and systems (70-XX) 502 Quantum theory (81-XX) 500 Special functions (33-XX) 351 Global analysis, analysis on manifolds (58-XX) 307 Combinatorics (05-XX) 267 Difference and functional equations (39-XX) 234 Potential theory (31-XX) 220 Number theory (11-XX) 219 Differential geometry (53-XX) 217 Integral transforms, operational calculus (44-XX) 157 Field theory and polynomials (12-XX) 145 Measure and integration (28-XX) 138 Convex and discrete geometry (52-XX) 133 Algebraic geometry (14-XX) 126 Astronomy and astrophysics (85-XX) 123 General topology (54-XX) 84 Commutative algebra (13-XX) 82 Sequences, series, summability (40-XX) 79 History and biography (01-XX) 78 General and overarching topics; collections (00-XX) 68 Relativity and gravitational theory (83-XX) 41 Topological groups, Lie groups (22-XX) 41 Geometry (51-XX) 36 Mathematical logic and foundations (03-XX) 35 Algebraic topology (55-XX) 34 Nonassociative rings and algebras (17-XX) 31 Manifolds and cell complexes (57-XX) 27 Several complex variables and analytic spaces (32-XX) 25 Mathematics education (97-XX) 23 Abstract harmonic analysis (43-XX) 17 Associative rings and algebras (16-XX) 15 Group theory and generalizations (20-XX) 10 Order, lattices, ordered algebraic structures (06-XX) 6 General algebraic systems (08-XX) 3 Category theory; homological algebra (18-XX)