## Calcolo

### A Quarterly on Numerical Analysis and Theory of Computation

 Short Title: Calcolo Publisher: Springer, Milan; Istituto Nazionale delle Ricerche, Istituto di Matematica Computazionale, Pisa ISSN: 0008-0624; 1126-5434/e Online: http://link.springer.com/journal/volumesAndIssues/10092 Comments: Indexed cover-to-cover
 Documents Indexed: 1,332 Publications (since 1964) References Indexed: 1,174 Publications with 21,647 References.
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### Latest Issues

 59, No. 3 (2022) 59, No. 2 (2022) 59, No. 1 (2022) 58, No. 4 (2021) 58, No. 3 (2021) 58, No. 2 (2021) 58, No. 1 (2021) 57, No. 4 (2020) 57, No. 3 (2020) 57, No. 2 (2020) 57, No. 1 (2020) 56, No. 4 (2019) 56, No. 3 (2019) 56, No. 2 (2019) 56, No. 1 (2019) 55, No. 4 (2018) 55, No. 3 (2018) 55, No. 2 (2018) 55, No. 1 (2018) 54, No. 4 (2017) 54, No. 3 (2017) 54, No. 2 (2017) 54, No. 1 (2017) 53, No. 4 (2016) 53, No. 3 (2016) 53, No. 2 (2016) 53, No. 1 (2016) 52, No. 4 (2015) 52, No. 3 (2015) 52, No. 2 (2015) 52, No. 1 (2015) 51, No. 4 (2014) 51, No. 3 (2014) 51, No. 2 (2014) 51, No. 1 (2014) 50, No. 4 (2013) 50, No. 3 (2013) 50, No. 2 (2013) 50, No. 1 (2013) 49, No. 4 (2012) 49, No. 3 (2012) 49, No. 2 (2012) 49, No. 1 (2012) 48, No. 4 (2011) 48, No. 3 (2011) 48, No. 2 (2011) 48, No. 1 (2011) 47, No. 4 (2010) 47, No. 3 (2010) 47, No. 2 (2010) 47, No. 1 (2010) 46, No. 4 (2009) 46, No. 3 (2009) 46, No. 2 (2009) 46, No. 1 (2009) 45, No. 4 (2008) 45, No. 3 (2008) 45, No. 2 (2008) 45, No. 1 (2008) 44, No. 4 (2007) 44, No. 3 (2007) 44, No. 2 (2007) 44, No. 1 (2007) 43, No. 4 (2006) 43, No. 3 (2006) 43, No. 2 (2006) 43, No. 1 (2006) 42, No. 3-4 (2005) 42, No. 2 (2005) 42, No. 1 (2005) 41, No. 4 (2004) 41, No. 3 (2004) 41, No. 2 (2004) 41, No. 1 (2004) 40, No. 4 (2003) 40, No. 3 (2003) 40, No. 2 (2003) 40, No. 1 (2003) 39, No. 4 (2002) 39, No. 3 (2002) 39, No. 2 (2002) 39, No. 1 (2002) 38, No. 4 (2001) 38, No. 3 (2001) 38, No. 2 (2001) 38, No. 1 (2001) 37, No. 4 (2000) 37, No. 3 (2000) 37, No. 2 (2000) 37, No. 1 (2000) 36, No. 4 (1999) 36, No. 3 (1999) 36, No. 2 (1999) 36, No. 1 (1999) 35, No. 4 (1998) 35, No. 3 (1998) 35, No. 2 (1998) 35, No. 1 (1998) 34, No. 1-4 (1997) 33, No. 3-4 (1996) ...and 55 more Volumes
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### Authors

 14 Costabile, Francesco Aldo 12 Marzulli, Pietro 12 Serra-Capizzano, Stefano 11 Bini, Dario Andrea 11 Gatica, Gabriel N. 11 Mastroianni, Giuseppe 10 Trigiante, Donato 9 Douglas, Jim jun. 9 Seatzu, Sebastiano 8 Rebolia, L. 7 Brezzi, Franco 7 Di Lena, Giovanni 7 Mancino, Otello Giacomo 7 Quarteroni, Alfio M. 7 Romani, Francesco 7 Scarpini, Francesco 7 Van Barel, Marc 6 Fasino, Dario 6 Gemignani, Luca 6 Ghelardoni, Giuseppe 6 Li, Wen 6 Tomescu, Ioan 6 Urbani, Anna Melania 6 Wei, Yimin 6 Zellini, Paolo 5 Allasia, Giampietro 5 Bertoluzza, Silvia 5 Bevilacqua, Roberto 5 Canuto, Claudio 5 Dagnino, Catterina 5 Di Benedetto, Fabio 5 Gatteschi, Luigi 5 Meddahi, Salim 5 Meini, Beatrice 5 Murli, Almerico 5 Nicaise, Serge 5 Peluso, Roberto I. 5 Piazza, Giuseppe 5 Spedicato, Emilio 5 Vandebril, Raf 5 Verani, Marco 4 Akrivis, Georgios D. 4 Antonietti, Paola Francesca 4 Bentbib, Abdeslem Hafid 4 Brianzi, Paola 4 Capovani, Milvio 4 Casulli, Vincenzo 4 Codenotti, Bruno 4 Criscuolo, Giuliana 4 Di Guglielmo, Francis 4 Favati, Paola 4 Gallouët, Thierry 4 Gautschi, Walter 4 Gheri, Giovanni 4 Giannessi, Franco 4 Glowinski, Roland 4 Gonska, Heinz Herbert 4 Gualtieri, Maria Italia 4 Iannazzo, Bruno 4 Iske, Armin 4 Jbilou, Khalide 4 Li, Hanyu 4 Maestrini, Piero 4 Mastroserio, Carmela 4 Meo, Angelo Raffaele 4 Montrone, M. 4 Morpurgo, Rosamaria 4 Neilan, Michael 4 Occorsio, Mario Rosario 4 Oyarzúa, Ricardo 4 Peña, Juan Manuel 4 Sayah, Toni 4 Schwab, Christoph 4 Sidi, Avram 4 Verdi, Claudio 4 Wu, Xinyuan 4 Wynn, Peter 4 Zheng, Bing 4 Zheng, Hua 3 Apel, Thomas 3 Arioli, Mario 3 Arnold, Douglas Norman 3 Ausiello, Giorgio 3 Awanou, Gerard Michel 3 Bernardi, Christine 3 Bessemoulin-Chatard, Marianne 3 Bongiovanni, Giancarlo 3 Bozzo, Enrico 3 Brezinski, Claude 3 Buffoni, Giuseppe 3 Cannon, John Rozier 3 Carnicer, Jésus Miguel 3 Chand, Arya Kumar Bedabrata 3 Chaumont-Frelet, Théophile 3 Chen, Shaochun 3 Coman, Gheorghe 3 Crocchiolo, C. 3 de Luca, Aldo 3 Del Corso, Gianna M. 3 Della Vecchia, Biancamaria ...and 1,511 more Authors
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### Fields

 915 Numerical analysis (65-XX) 231 Partial differential equations (35-XX) 162 Approximations and expansions (41-XX) 102 Linear and multilinear algebra; matrix theory (15-XX) 94 Computer science (68-XX) 93 Fluid mechanics (76-XX) 90 Operations research, mathematical programming (90-XX) 74 Ordinary differential equations (34-XX) 51 Calculus of variations and optimal control; optimization (49-XX) 49 Integral equations (45-XX) 44 Mechanics of deformable solids (74-XX) 39 Information and communication theory, circuits (94-XX) 34 Combinatorics (05-XX) 33 Operator theory (47-XX) 26 Probability theory and stochastic processes (60-XX) 23 Special functions (33-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 20 Biology and other natural sciences (92-XX) 19 Real functions (26-XX) 19 Statistics (62-XX) 15 Classical thermodynamics, heat transfer (80-XX) 14 Functions of a complex variable (30-XX) 14 Systems theory; control (93-XX) 12 Mathematical logic and foundations (03-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Number theory (11-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Field theory and polynomials (12-XX) 8 Potential theory (31-XX) 8 Functional analysis (46-XX) 8 Optics, electromagnetic theory (78-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Quantum theory (81-XX) 4 Measure and integration (28-XX) 4 Integral transforms, operational calculus (44-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Geophysics (86-XX) 3 General and overarching topics; collections (00-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Group theory and generalizations (20-XX) 3 Differential geometry (53-XX) 3 General topology (54-XX) 2 History and biography (01-XX) 2 Difference and functional equations (39-XX) 2 Sequences, series, summability (40-XX) 2 Convex and discrete geometry (52-XX) 1 Algebraic geometry (14-XX) 1 Abstract harmonic analysis (43-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Astronomy and astrophysics (85-XX)

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881 Publications have been cited 6,186 times in 5,449 Documents Cited by Year
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1984
A finite element pressure gradient stabilization for the Stokes equations based on local projections. Zbl 1008.76036
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2001
A kinetic scheme for the Saint-Venant system with a source term. Zbl 1008.65066
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2001
The first integral method for Wu-Zhang system with conformable time-fractional derivative. Zbl 1434.35273
2016
Généralisations de la transformation de Shanks, de la table de Padé et de l’$$\varepsilon$$-algorithme. Zbl 0329.65006
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1976
General conformable fractional derivative and its physical interpretation. Zbl 1375.26020
Zhao, Dazhi; Luo, Maokang
2017
An $$hp$$ a priori error analysis of the DG time-stepping for initial value problems. Zbl 1012.65084
Schötzau, Dominik; Schwab, Christoph
2000
A posteriori error estimates for finite element discretizations of the heat equation. Zbl 1168.65418
Verfürth, R.
2003
Methodes itératives pour les équations et inéquations aux dérivées partielles non linéaires de type monotone. (Iteration methods for nonlinear equations and inequations with partial derivatives of monotone type). Zbl 0225.35010
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1970
Mosaic-skeleton approximations. Zbl 0906.65048
Tyrtyshnikov, Eugene
1996
A stable nonconforming quadrilateral finite element method for the stationary Stokes and Navier-Stokes equations. Zbl 0947.76047
Cai, Zhiqiang; Douglas, Jim jun.; Ye, Xiu
1999
A new Legendre operational technique for delay fractional optimal control problems. Zbl 1377.49032
Bhrawy, A. H.; Ezz-Eldien, S. S.
2016
Non-classical $$H^ 1$$ projection and Galerkin methods for non-linear parabolic integro-differential equations. Zbl 0685.65124
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1988
Reduced basis approximation and a posteriori error estimation for the time-dependent viscous Burgers’ equation. Zbl 1178.65109
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2009
Parallelism in spectral methods. Zbl 0675.65117
Canuto, C.
1988
A numerical technique based on the shifted Legendre polynomials for solving the time-fractional coupled KdV equations. Zbl 1335.65083
Bhrawy, A. H.; Doha, E. H.; Ezz-Eldien, S. S.; Abdelkawy, M. A.
2016
Multigrid methods for Toeplitz matrices. Zbl 0778.65021
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1991
On the coupling of boundary integral and finite element methods. Zbl 0423.65056
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1979
Some error analysis on virtual element methods. Zbl 1448.65223
Chen, Long; Huang, Jianguo
2018
Efficient Jarratt-like methods for solving systems of nonlinear equations. Zbl 1311.65052
Sharma, Janak Raj; Arora, Himani
2014
Shape preservation of scientific data through rational fractal splines. Zbl 1315.65014
Chand, A. K. B.; Vijender, N.; Navascués, M. A.
2014
Numerical solutions of systems of first-order, two-point BVPs based on the reproducing kernel algorithm. Zbl 1402.65068
Abu Arqub, Omar
2018
A quasi-local interpolation operator preserving the discrete divergence. Zbl 1072.65014
Girault, V.; Scott, L. R.
2003
Quadratic divergence-free finite elements on Powell–Sabin tetrahedral grids. Zbl 1232.65151
Zhang, Shangyou
2011
The $$q$$-derivate and applications to $$q$$-Sz’asz Mirakyan operators. Zbl 1121.41016
Aral, Ali; Gupta, Vijay
2006
Sixth-order symplectic and symmetric explicit ERKN schemes for solving multi-frequency oscillatory nonlinear Hamiltonian equations. Zbl 1369.65169
Wang, Bin; Yang, Hongli; Meng, Fanwei
2017
A general accelerated modulus-based matrix splitting iteration method for solving linear complementarity problems. Zbl 1341.65022
Liu, Shumi; Zheng, Hua; Li, Wen
2016
Iterative method with inertial for variational inequalities in Hilbert spaces. Zbl 1482.47127
Shehu, Yekini; Cholamjiak, Prasit
2019
A discrete de Rham complex with enhanced smoothness. Zbl 1168.76311
Tai, Xue-Cheng; Winther, Ragnar
2006
Computational issues related to iterative coupling of subsurface and channel flows. Zbl 1150.76028
Hoppe, Ronald H. W.; Porta, Paulo; Vassilevski, Yuri
2007
Implicit-explicit numerical schemes for jump-diffusion processes. Zbl 1150.65033
Briani, Maya; Natalini, Roberto; Russo, Giovanni
2007
Relations between exact and approximate bilinear algorithms. Applications. Zbl 0459.65028
Bini, D.
1980
Nonconforming mixed finite element methods for linear elasticity using rectangular elements in two and three dimensions. Zbl 1168.74463
Yi, S.-Y.
2005
A comparison of mortar and Nitsche techniques for linear elasticity. Zbl 1099.65123
Fritz, A.; Hüeber, S.; Wohlmuth, B. I.
2004
Free boundary problems in the theory of fluid flow through porous media: A numerical approach. Zbl 0296.76052
Baiocchi, C.; Comincioli, V.; Guerri, L.; Volpi, G.
1973
Prismatic mixed finite elements for second order elliptic problems. Zbl 0711.65089
Chen, Z.; Douglas, J. jun.
1989
A finite volume discontinuous Galerkin scheme for nonlinear convection-diffusion problems. Zbl 1098.65095
Dolejší, Vít; Feistauer, Miloslav; Schwab, Christoph
2002
Generalized Peaceman-Rachford splitting method for multiple-block separable convex programming with applications to robust PCA. Zbl 1368.90129
Sun, Min; Wang, Yiju; Liu, Jing
2017
A discontinuous Galerkin method for the plate equation. Zbl 1012.74066
Hansbo, P.; Larson, M. G.
2002
The global behavior of time discretization for an abstract Volterra equation in Hilbert space. Zbl 0913.65138
Xu, Da
1997
Analysis of finite element methods for the Brinkman problem. Zbl 1410.76179
Juntunen, Mika; Stenberg, Rolf
2010
Computation of the signed distance function to a discrete contour on adapted triangulation. Zbl 1258.65087
Dapogny, Charles; Frey, Pascal
2012
An implicit/explicit spectral method for Burgers’ equation. Zbl 0691.65081
Bressan, N.; Quarteroni, A.
1986
An adaptive finite element discretisation for a simplified Signorini problem. Zbl 0954.65053
Blum, H.; Suttmeier, F.-T.
2000
Displacement structure approach to discrete-trigonometric-transform based preconditioners of G. Strang type and of T. Chan type. Zbl 0907.65034
1996
On the inverse potential problem of electrocardiology. Zbl 0452.92008
Colli Franzone, Piero; Magenes, E.
1979
Nonconforming quadrilateral finite elements: a correction. Zbl 1012.65124
Cai, Z.; Douglas, J. jun.; Santos, J. E.; Sheen, D.; Ye, X.
2000
Multigrid algorithms for $$hp$$-version interior penalty discontinuous Galerkin methods on polygonal and polyhedral meshes. Zbl 1421.65029
Antonietti, Paola F.; Houston, Paul; Hu, Xiaozhe; Sarti, Marco; Verani, Marco
2017
Fully discrete local discontinuous Galerkin method for solving the fractional telegraph equation. Zbl 1311.35331
Wei, Leilei; Dai, Huiya; Zhang, Dingling; Si, Zhiyong
2014
A bibliography on semiseparable matrices. Zbl 1168.15312
Vandebril, R.; Van Barel, M.; Golub, G.; Mastronardi, N.
2005
A family of non-conforming elements and the analysis of Nitsche’s method for a singularly perturbed fourth order problem. Zbl 1253.65150
Guzmán, Johnny; Leykekhman, Dmitriy; Neilan, Michael
2012
Approximation of functions by means of a new generalized Bernstein operator. Zbl 0544.41022
Stancu, D. D.
1983
Spectral and pseudo-spectral methods for parabolic problems with non periodic boundary conditions. Zbl 0485.65078
Canuto, C.; Quarteroni, A.
1981
Characterizations of DMP inverse in a Hilbert space. Zbl 1387.47003
Yu, Anqi; Deng, Chunyuan
2016
Parallel methods for ordinary differential equations. Zbl 0675.65068
Gear, C. W.
1988
BDDC and FETI-DP for the virtual element method. Zbl 1429.65274
Bertoluzza, Silvia; Pennacchio, Micol; Prada, Daniele
2017
Mixed finite element method for the Stokes and Navier-Stokes equations in a nonconvex polxgon. (Méthodes d’éléments finis mixtes pour les équations de Stokes et de Navier-Stokes dans un polygone non convexe.) Zbl 0475.76035
Bernardi, C.; Raugel, G.
1981
Stabilized extended finite elements for the approximation of saddle point problems with unfitted interfaces. Zbl 1320.76063
Cattaneo, Laura; Formaggia, Luca; Iori, Guido Francesco; Scotti, Anna; Zunino, Paolo
2015
Jacobi spectral Galerkin methods for fractional integro-differential equations. Zbl 1331.65179
Yang, Yin
2015
A posteriori error estimation for the heterogeneous Maxwell equations on isotropic and anisotropic meshes. Zbl 1168.65381
Nicaise, S.; Creusé, E.
2003
A mixed virtual element method for a nonlinear Brinkman model of porous media flow. Zbl 1391.76330
Gatica, Gabriel N.; Munar, Mauricio; Sequeira, Filánder A.
2018
An augmented fully-mixed finite element method for the stationary Boussinesq problem. Zbl 1397.76065
Colmenares, Eligio; Gatica, Gabriel N.; Oyarzúa, Ricardo
2017
Error bounds for linear complementarity problems of $$QN$$-matrices. Zbl 1377.65063
Dai, Ping-Fan; Li, Ji-Cheng; Li, Yao-Tang; Zhang, Cheng-yi
2016
On Gauss-type quadrature formulas with prescribed nodes anywhere on the real line. Zbl 1186.65029
Bultheel, Adhemar; Cruz-Barroso, Ruymán; Van Barel, Marc
2010
Superconvergence of mixed finite element methods on rectangular domains. Zbl 0714.65084
Douglas, Jim jun.; Wang, Junping
1989
A conservative flux for the continuous Galerkin method based on discontinuous enrichment. Zbl 1168.65415
Larson, M. G.; Niklasson, A. J.
2004
Korovkin-type approximation properties of bivariate $$q$$-Meyer-König and Zeller operators. Zbl 1121.41020
Doğru, Ogün; Gupta, Vijay
2006
Tseng type methods for solving inclusion problems and its applications. Zbl 1482.65096
Gibali, Aviv; Thong, Duong Viet
2018
Error estimates for two-phase Stefan problems in several space variables. I: Linear boundary conditions. Zbl 0606.65084
Nochetto, Ricardo H.
1985
Quasi-optimal convergence rates for adaptive boundary element methods with data approximation. I: Weakly-singular integral equation. Zbl 1314.65161
Feischl, Michael; Führer, Thomas; Karkulik, Michael; Melenk, Jens Markus; Praetorius, Dirk
2014
Finite difference method for a fractional porous medium equation. Zbl 1310.76115
Del Teso, Félix
2014
A new family of Newton-type iterative methods with and without memory for solving nonlinear equations. Zbl 1312.65078
Wang, Xiaofeng; Zhang, Tie
2014
A rotated nonconforming rectangular mixed element for elasticity. Zbl 1169.74042
Awanou, Gerard
2009
Improved convergence theorems of modulus-based matrix splitting iteration method for nonlinear complementarity problems of $$H$$-matrices. Zbl 1384.65036
Zheng, Hua
2017
Numerical methods for a model of population dynamics. Zbl 0658.65145
Douglas, J. jun.; Milner, F. A.
1987
Convergence and comparison theorems for single and double decompositions of rectangular matrices. Zbl 1318.65017
Jena, Litismita; Mishra, Debasisha; Pani, Sabyasachi
2014
Interpolation by basis functions of different scales and shapes. Zbl 1168.65315
Bozzini, M.; Lenarduzzi, L.; Rossini, M.; Schaback, R.
2004
An inexact Newton method for solving complementarity problems in hydrodynamic lubrication. Zbl 1384.76045
2018
Two-parameter TSCSP method for solving complex symmetric system of linear equations. Zbl 1392.65071
Salkuyeh, Davod Khojasteh; Siahkolaei, Tahereh Salimi
2018
Increasing the order of convergence for iterative methods to solve nonlinear systems. Zbl 1356.65140
Xiao, X. Y.; Yin, H. W.
2016
A third Strang lemma and an Aubin-Nitsche trick for schemes in fully discrete formulation. Zbl 1459.65215
Di Pietro, Daniele A.; Droniou, Jérôme
2018
A note on double splittings of different monotone matrices. Zbl 1185.65058
Miao, Shu-Xin; Zheng, Bing
2009
A note on the derivation of maximal common subgraphs of two directed or undirected graphs. Zbl 0261.05132
Levi, G.
1973
Local convergence of a parameter based iteration with Hölder continuous derivative in Banach spaces. Zbl 1387.47033
Singh, Sukhjit; Gupta, D. K.; Badoni, Rakesh P.; Martínez, E.; Hueso, José L.
2017
Relations rationnelles infinitaires. Zbl 0552.68064
Gire, F.; Nivat, M.
1984
Error estimation in a balanced norm for a convection-diffusion problem with two different boundary layers. Zbl 1314.65141
Franz, Sebastian; Roos, Hans-Görg
2014
Strong convergence and stability of backward Euler-Maruyama scheme for highly nonlinear hybrid stochastic differential delay equation. Zbl 1335.65013
Zhou, Shaobo
2015
Optimal control in non-convex domains: a priori discretization error estimates. Zbl 1168.49306
Apel, T.; Rösch, Arnd; Winkler, Gunter
2007
Eigenvectors of tridiagonal matrices of Sylvester type. Zbl 1175.15010
Chu, Wenchang; Wang, Xiaoyuan
2008
A self-adaptive three-term conjugate gradient method for monotone nonlinear equations with convex constraints. Zbl 1338.90459
Wang, X. Y.; Li, S. J.; Kou, Xi Peng
2016
Solving nonlinear equations by a derivative-free form of the King’s family with memory. Zbl 1347.65098
Sharifi, Somayeh; Siegmund, Stefan; Salimi, Mehdi
2016
A mixed-primal finite element method for the Boussinesq problem with temperature-dependent viscosity. Zbl 1404.65248
Almonacid, Javier A.; Gatica, Gabriel N.; Oyarzúa, Ricardo
2018
Quelques résultats sur l’identification de domaines. Zbl 0303.93023
Cea, Jean; Gioan, Alain; Michel, Jean
1974
On the weights of Sard’s quadrature formulas. Zbl 0688.41031
Köhler, P.
1988
Numerical methods for ultraparabolic equations. Zbl 0859.65108
Akrivis, G.; Crouzeix, M.; Thomée, V.
1994
On the use of symmetrizing variables for vacuums. Zbl 1072.76042
Gallouët, T.; Hérard, J.-M.; Seguin, N.
2003
An efficient three-term conjugate gradient method for nonlinear monotone equations with convex constraints. Zbl 1405.65043
Gao, Peiting; He, Chuanjiang
2018
Finite element approximation of regularized solutions of the inverse potential problem of electrocardiography and applications to experimental data. Zbl 0623.65136
Colli Franzone, P.; Guerri, L.; Taccardi, B.; Viganotti, C.
1985
Monotone and convex cubic spline interpolation. Zbl 0565.41006
Costantini, Paolo; Morandi, Rossana
1984
Quantitative theorems on approximation by Bernstein-Stancu operators. Zbl 0568.41021
Gonska, Heinz H.; Meier, J.
1984
On the convergence rate of the Kačanov scheme for shear-thinning fluids. Zbl 1483.65186
Heid, Pascal; Süli, Endre
2022
Low-rank tensor approximation of singularly perturbed boundary value problems in one dimension. Zbl 1483.65067
Marcati, Carlo; Rakhuba, Maxim; Ulander, Johan E. M.
2022
A new non-augmented and momentum-conserving fully-mixed finite element method for a coupled flow-transport problem. Zbl 1481.65219
Benavides, Gonzalo A.; Caucao, Sergio; Gatica, Gabriel N.; Hopper, Alejandro A.
2022
Frequency-explicit approximability estimates for time-harmonic Maxwell’s equations. Zbl 1490.65263
Chaumont-Frelet, Théophile; Vega, Patrick
2022
Approximation by shape preserving fractal functions with variable scalings. Zbl 1469.41004
Jha, Sangita; Chand, A. K. B.; Navascués, M. A.
2021
Accurate computations with Wronskian matrices. Zbl 1469.65088
Mainar, E.; Peña, J. M.; Rubio, B.
2021
Shifted extended global Lanczos processes for trace estimation with application to network analysis. Zbl 1470.65076
Bentbib, A. H.; El Ghomari, M.; Jbilou, K.; Reichel, L.
2021
On maximum residual block and two-step Gauss-Seidel algorithms for linear least-squares problems. Zbl 1472.65040
Liu, Yong; Jiang, Xiang-Long; Gu, Chuan-Qing
2021
Structure-preserving Gauss methods for the nonlinear Schrödinger equation. Zbl 1486.65158
Akrivis, Georgios; Li, Dongfang
2021
Improved error estimates for hybrid high-order discretizations of Leray-Lions problems. Zbl 1471.65176
Pietro, Daniele A. Di; Droniou, Jérôme; Harnist, André
2021
Unified compact numerical quadrature formulas for Hadamard finite parts of singular integrals of periodic functions. Zbl 1472.65031
Sidi, Avram
2021
On the global convergence of the block Jacobi method for the positive definite generalized eigenvalue problem. Zbl 1472.65044
Hari, Vjeran
2021
A weighted and balanced FEM for singularly perturbed reaction-diffusion problems. Zbl 1477.65231
2021
Approximating inverse FEM matrices on non-uniform meshes with $$\mathcal{H}$$-matrices. Zbl 1472.65051
Angleitner, Niklas; Faustmann, Markus; Melenk, Jens Markus
2021
Analysis of the spectral symbol associated to discretization schemes of linear self-adjoint differential operators. Zbl 07380433
Bianchi, Davide
2021
Numerical evaluation of Mittag-Leffler functions. Zbl 1467.65020
McLean, William
2021
$$C^0$$ finite element approximations of linear elliptic equations in non-divergence form and Hamilton-Jacobi-Bellman equations with Cordes coefficients. Zbl 1468.65206
Wu, Shuonan
2021
A mixed finite element method with reduced symmetry for the standard model in linear viscoelasticity. Zbl 1468.65190
Gatica, Gabriel N.; Márquez, Antonio; Meddahi, Salim
2021
A lowest-order virtual element method for the Helmholtz transmission eigenvalue problem. Zbl 1476.65287
Meng, Jian; Wang, Gang; Mei, Liquan
2021
Continuous trigonometric collocation polynomial approximations with geometric and superconvergence analysis for efficiently solving semi-linear highly oscillatory hyperbolic systems. Zbl 1471.65072
Liu, Changying; Wu, Xinyuan
2021
Randomized double and triple Kaczmarz for solving extended normal equations. Zbl 1473.65036
Du, Kui; Sun, Xiao-Hui
2021
$$H^1$$-conforming finite element cochain complexes and commuting quasi-interpolation operators on Cartesian meshes. Zbl 1477.65193
Bonizzoni, Francesca; Kanschat, Guido
2021
A Hermite collocation method for approximating a class of highly oscillatory integral equations using new Gaussian radial basis functions. Zbl 1473.65357
Ranjbar, H.; Ghoreishi, F.
2021
Lidstone-Euler interpolation and related high even order boundary value problem. Zbl 1482.34065
Costabile, Francesco Aldo; Gualtieri, Maria Italia; Napoli, Anna
2021
Second-order finite difference approximation for a nonlinear size-structured population model with an indefinite growth rate coupled with the environment. Zbl 1470.35355
Ackleh, Azmy S.; Miller, Robert L.
2021
Conservative Galerkin methods for dispersive Hamiltonian problems. Zbl 1470.65167
Jackaman, James; Pryer, Tristan
2021
Exactness and convergence properties of some recent numerical quadrature formulas for supersingular integrals of periodic functions. Zbl 1487.65027
Sidi, Avram
2021
A fully well-balanced and asymptotic preserving scheme for the shallow-water equations with a generalized Manning friction source term. Zbl 1477.65142
Bulteau, Solène; Badsi, Mehdi; Berthon, Christophe; Bessemoulin-Chatard, Marianne
2021
On the order of convergence of Broyden’s method. Faster convergence on mixed linear-nonlinear systems of equations and a conjecture on the q-order. Zbl 1482.90251
Mannel, Florian
2021
Lowest order virtual element approximations for transient Stokes problem on polygonal meshes. Zbl 1479.65011
Verma, N.; Kumar, S.
2021
A gradient based iterative method and associated preconditioning technique for solving the large multilinear systems. Zbl 1483.65073
Khosravi Dehdezi, Eisa; Karimi, Saeed
2021
On the convergence of adaptive iterative linearized Galerkin methods. Zbl 1448.35219
Heid, Pascal; Wihler, Thomas P.
2020
Exact sequences on Powell-Sabin splits. Zbl 1435.65202
Guzmán, J.; Lischke, A.; Neilan, M.
2020
Implementation of second derivative general linear methods. Zbl 1453.65155
Abdi, Ali; Conte, Dajana
2020
A new preconditioned SOR method for solving multi-linear systems with an $$\mathcal{M}$$-tensor. Zbl 1439.65040
Liu, Dongdong; Li, Wen; Vong, Seak-Weng
2020
Stabilizing the Metzler matrices with applications to dynamical systems. Zbl 1432.15016
Cvetković, Aleksandar
2020
Odd and even Lidstone-type polynomial sequences. II: Applications. Zbl 1435.41032
Costabile, Francesco Aldo; Gualtieri, Maria Italia; Napoli, Anna
2020
Convergence of a positive nonlinear DDFV scheme for degenerate parabolic equations. Zbl 1442.65203
Quenjel, El Houssaine; Saad, Mazen; Ghilani, Mustapha; Bessemoulin-Chatard, Marianne
2020
Ultra-weak symmetry of stress for augmented mixed finite element formulations in continuum mechanics. Zbl 1479.65023
Almonacid, Javier A.; Gatica, Gabriel N.; Ruiz-Baier, Ricardo
2020
Full discretization of time dependent convection-diffusion-reaction equation coupled with the Darcy system. Zbl 1431.76122
Chalhoub, Nancy; Omnes, Pascal; Sayah, Toni; El Zahlaniyeh, Rebecca
2020
Modified Newton-AGSOR method for solving nonlinear systems with block two-by-two complex symmetric Jacobian matrices. Zbl 1434.65029
Qi, Xin; Wu, Hui-Ting; Xiao, Xiao-Yong
2020
An augmented fully-mixed finite element method for a coupled flow-transport problem. Zbl 1436.65179
Gatica, Gabriel N.; Inzunza, Cristian
2020
Computing several eigenvalues of nonlinear eigenvalue problems by selection. Zbl 1439.65045
Hochstenbach, Michiel E.; Plestenjak, Bor
2020
A modified nonlinear Polak-Ribière-Polyak conjugate gradient method with sufficient descent property. Zbl 1451.90152
Dong, Xiaoliang
2020
A new mixed-FEM for steady-state natural convection models allowing conservation of momentum and thermal energy. Zbl 1471.65193
Caucao, Sergio; Oyarzúa, Ricardo; Villa-Fuentes, Segundo
2020
Stationary Schrödinger equation in the semi-classical limit: WKB-based scheme coupled to a turning point. Zbl 1439.34078
Arnold, Anton; Döpfner, Kirian
2020
Saturation rates of filtered back projection approximations. Zbl 1455.94007
Beckmann, Matthias; Iske, Armin
2020
A note on convergence rate of randomized Kaczmarz method. Zbl 1454.65018
Guan, Ying-Jun; Li, Wei-Guo; Xing, Li-Li; Qiao, Tian-Tian
2020
A two-step symmetric method for charged-particle dynamics in a normal or strong magnetic field. Zbl 1448.65067
Wang, Bin; Wu, Xinyuan; Fang, Yonglei
2020
Parallel iterative stabilized finite element methods based on the quadratic equal-order elements for incompressible flows. Zbl 1475.76064
Zheng, Bo; Shang, Yueqiang
2020
A modified Broyden family algorithm with global convergence under a weak Wolfe-Powell line search for unconstrained nonconvex problems. Zbl 1467.90045
Yuan, Gonglin; Wang, Zhan; Li, Pengyuan
2020
The virtual element method for a minimal surface problem. Zbl 1471.65191
Antonietti, Paola Francesca; Bertoluzza, Silvia; Prada, Daniele; Verani, Marco
2020
On hyperbolic polynomials with four-term recurrence and linear coefficients. Zbl 1447.26011
2020
SDFEM for singularly perturbed parabolic initial-boundary-value problems on equidistributed grids. Zbl 1451.65141
Avijit, D.; Natesan, S.
2020
A new stable numerical method for Mellin integral equations in weighted spaces with uniform norm. Zbl 1454.65190
Laurita, Concetta
2020
Fractional Laplace operator in two dimensions, approximating matrices, and related spectral analysis. Zbl 07245604
Aceto, Lidia; Mazza, Mariarosa; Serra-Capizzano, Stefano
2020
Discrete projection methods for Hammerstein integral equations on the half-line. Zbl 1488.65752
Nahid, Nilofar; Nelakanti, Gnaneshwar
2020
Linearized symmetric multi-block ADMM with indefinite proximal regularization and optimal proximal parameter. Zbl 1467.65061
Chang, Xiaokai; Bai, Jianchao; Song, Dunjiang; Liu, Sanyang
2020
Approximation of PDE eigenvalue problems involving parameter dependent matrices. Zbl 1467.65104
Boffi, Daniele; Gardini, Francesca; Gastaldi, Lucia
2020
Nonconforming virtual element method for $$2m$$th order partial differential equations in $$\mathbb{R}^n$$ with $$m>n$$. Zbl 1468.65192
Huang, Xuehai
2020
Iterative method with inertial for variational inequalities in Hilbert spaces. Zbl 1482.47127
Shehu, Yekini; Cholamjiak, Prasit
2019
Explicit iterative algorithms for solving equilibrium problems. Zbl 07072490
Van Hieu, Dang; Quy, Pham Kim; Vy, Le Van
2019
Stabilized virtual element methods for the unsteady incompressible Navier-Stokes equations. Zbl 1425.76138
Irisarri, Diego; Hauke, Guillermo
2019
Analysis of collocation methods for nonlinear Volterra integral equations of the third kind. Zbl 1434.65320
Song, Huiming; Yang, Zhanwen; Brunner, Hermann
2019
A modified descent Polak-Ribiére-Polyak conjugate gradient method with global convergence property for nonconvex functions. Zbl 1415.90147
Aminifard, Zohre; Babaie-Kafaki, Saman
2019
A new generalized shrinkage conjugate gradient method for sparse recovery. Zbl 1461.65147
Esmaeili, Hamid; Shabani, Shima; Kimiaei, Morteza
2019
Virtual enriching operators. Zbl 1471.65192
Brenner, Susanne C.; Sung, Li-Yeng
2019
Optimal interpolation formulas in the space $$W_2^{(m,m-1)}$$. Zbl 1457.41001
Babaev, S. S.; Hayotov, A. R.
2019
Preconditioned triangular splitting iteration method for a class of complex symmetric linear systems. Zbl 1415.65077
Huang, Zheng-Ge; Xu, Zhong; Cui, Jing-Jing
2019
Alternating positive semidefinite splitting preconditioners for double saddle point problems. Zbl 1420.65036
Liang, Zhao-Zheng; Zhang, Guo-Feng
2019
A FEM for an optimal control problem subject to the fractional Laplace equation. Zbl 1427.65357
Dohr, Stefan; Kahle, Christian; Rogovs, Sergejs; Swierczynski, Piotr
2019
A hybrid extragradient method for a general split equality problem involving resolvents and pseudomonotone bifunctions in Banach spaces. Zbl 07142732
Raeisi, M.; Eskandani, Gholamreza Zamani
2019
A preconditioned modulus-based matrix multisplitting block iteration method for the linear complementarity problems with Toeplitz matrix. Zbl 1415.65082
Wu, Min-Hua; Li, Chen-Liang
2019
On the equivalence between some projected and modulus-based splitting methods for linear complementarity problems. Zbl 07138880
2019
A virtual element method for the coupled Stokes-Darcy problem with the Beaver-Joseph-Saffman interface condition. Zbl 1471.65200
Liu, Xin; Li, Rui; Chen, Zhangxin
2019
Solution formulas for differential Sylvester and Lyapunov equations. Zbl 1432.15015
Behr, Maximilian; Benner, Peter; Heiland, Jan
2019
Finite element discretization of local minimization schemes for rate-independent evolutions. Zbl 1407.65200
Meyer, Christian; Sievers, Michael
2019
Rescaled pure greedy algorithm for convex optimization. Zbl 1415.65137
Gao, Zheming; Petrova, Guergana
2019
Parameterized error bounds for linear complementarity problems of $$B_\pi ^R$$-matrices and their optimal values. Zbl 1423.90254
Gao, Lei; Li, Chaoqian; Li, Yaotang
2019
On Krylov solutions to infinite-dimensional inverse linear problems. Zbl 1476.65093
Caruso, Noe; Michelangeli, Alessandro; Novati, Paolo
2019
A hybrid iterative algorithm for solving monotone variational inclusion and hierarchical fixed point problems. Zbl 07138873
2019
Signal reconstruction by conjugate gradient algorithm based on smoothing $$l_1$$-norm. Zbl 1434.90199
Wu, Caiying; Zhan, Jiaming; Lu, Yue; Chen, Jein-Shan
2019
Strong convergence analysis of iterative solvers for random operator equations. Zbl 1431.65202
Herrmann, Lukas
2019
Mixed finite element discretizations of acoustic Helmholtz problems with high wavenumbers. Zbl 1430.65008
Chaumont-Frelet, T.
2019
Structure-preserving stochastic conformal exponential integrator for linearly damped stochastic differential equations. Zbl 1407.65322
Yang, Guoguo; Ma, Qiang; Li, Xuliang; Ding, Xiaohua
2019
A new class of conjugate gradient methods for unconstrained smooth optimization and absolute value equations. Zbl 1407.90311
Rahpeymaii, Farzad; Amini, Keyvan; Allahviranloo, Tofigh; Malkhalifeh, Mohsen Rostamy
2019
A new splitting method for monotone inclusions of three operators. Zbl 1416.65156
Dong, Yunda; Yu, Xiaohuan
2019
A posteriori error estimates for the monodomain model in cardiac electrophysiology. Zbl 1427.65256
Ratti, Luca; Verani, Marco
2019
Adaptive $$hp$$-FEM for eigenvalue computations. Zbl 1427.65351
Canuto, Claudio
2019
A remarkable Wronskian with application to critical lengths of cycloidal spaces. Zbl 1431.41001
Ait-Haddou, Rachid; Mazure, Marie-Laurence; Ruhland, Helmut
2019
Least squares solutions to the rank-constrained matrix approximation problem in the Frobenius norm. Zbl 1428.15007
Wang, Hongxing
2019
Low complexity matrix projections preserving actions on vectors. Zbl 1415.65069
Cipolla, Stefano; Di Fiore, Carmine; Zellini, Paolo
2019
How to make the Perron eigenvector simple. Zbl 1415.65089
2019
Condition numbers of generalized saddle point systems. Zbl 1415.65105
Meng, Lingsheng; Li, Jun
2019
A two-parameter modified splitting preconditioner for the bidomain equations. Zbl 1415.65076
Chen, Hao; Li, Xiaolin; Wang, Yan
2019
Conditioning of polynomial Fourier sums. Zbl 1420.65061
Carnicer, J. M.; Khiar, Y.; Peña, J. M.
2019
A Riemann solution approximation based on the zero diffusion-dispersion limit of Dafermos reformulation type problem. Zbl 1428.65058
Berthon, Christophe; Bessemoulin-Chatard, Marianne; Crestetto, Anaïs; Foucher, Françoise
2019
Adaptive fixed point iterations for semilinear elliptic partial differential equations. Zbl 1432.62063
Amrein, Mario
2019
A scaled three-term conjugate gradient method for large-scale unconstrained optimization problem. Zbl 1433.90160
Faramarzi, Parvaneh; Amini, Keyvan
2019
Finite difference scheme for a higher order nonlinear Schrödinger equation. Zbl 1427.65147
Cavalcanti, Marcelo M.; Corrêa, Wellington J.; Sepúlveda C., Mauricio A.; Véjar-Asem, Rodrigo
2019
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### Cited by 6,382 Authors

 51 Serra-Capizzano, Stefano 46 Gatica, Gabriel N. 32 Chand, Arya Kumar Bedabrata 28 Brezinski, Claude 26 Xu, Da 25 Praetorius, Dirk 23 Pan, Victor Yakovlevich 22 Feng, Minfu 22 Zhang, Shangyou 21 Beirão da Veiga, Lourenço 21 He, Yinnian 21 Pani, Amiya Kumar 21 Rebholz, Leo G. 20 Chen, Zhangxin 19 Antonietti, Paola Francesca 19 Burman, Erik 19 Mosić, Dijana 19 Nochetto, Ricardo Horacio 19 Ruiz-Baier, Ricardo 18 Argyros, Ioannis Konstantinos 18 Bhrawy, Ali Hassan 18 He, Xiaoming 18 Shi, Dongyang 18 Zheng, Hua 17 Băleanu, Dumitru I. 17 Chen, Shaochun 17 Donatelli, Marco 17 Gemignani, Luca 17 Hayotov, Abdullo Rakhmonovich 17 Li, Jian 17 Sinha, Rajen Kumar 16 Jbilou, Khalide 16 Matthies, Gunar 16 Shadimetov, Kholmat Mahkambaevich 16 Sun, Min 16 Van Barel, Marc 16 Vohralík, Martin 16 Vong, Seakweng 15 Costabile, Francesco Aldo 15 Huang, Pengzhan 15 Linke, Alexander 15 Neilan, Michael 15 Parhi, Sanjaya Kumar 15 Redivo-Zaglia, Michela 15 Sharma, Debasis 15 Verani, Marco 14 Braack, Malte 14 Cordero, Alicia 14 Dapogny, Charles 14 Dolejší, Vít 14 Gupta, Vijay 14 Huang, Yunqing 14 Mishra, Debasisha 14 Mishra, Vishnu Narayan 14 Nicaise, Serge 14 Oyarzúa, Ricardo 14 Quarteroni, Alfio M. 14 Sayas, Francisco-Javier 14 Torregrosa Sanchez, Juan Ramón 14 Vijender, Nallapu 14 Wang, Bin 14 Wei, Yimin 14 Wu, Xinyuan 14 Yang, Yin 14 Yi, Lijun 13 Agrawal, Purshottam Narain 13 Ahmed, Naveed 13 Arqub, Omar Abu 13 Dassi, Franco 13 Dehghan Takht Fooladi, Mehdi 13 Franca, Leopoldo Luis Cabo Penna 13 Girault, Vivette 13 Manzini, Gianmarco 13 Mora, David 13 Nataraj, Neela 13 Shang, Yueqiang 13 Spedicato, Emilio 13 Tobiska, Lutz 13 Wang, Yiju 12 Allaire, Grégoire 12 Brenner, Susanne Cecelia 12 Carstensen, Carsten 12 Di Pietro, Daniele Antonio 12 Feng, Xinlong 12 Führer, Thomas 12 Hansbo, Peter 12 Hu, Jun 12 Huang, Jianguo 12 Lube, Gert 12 Stanimirović, Predrag S. 12 Stenberg, Rolf 12 Vacca, Giuseppe 12 Wohlmuth, Barbara I. 12 Zhang, Chengjian 11 Abdi, Ali 11 Bini, Dario Andrea 11 Ern, Alexandre 11 Feistauer, Miloslav 11 Guzmán, Johnny 11 Han, Weimin ...and 6,282 more Authors
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### Cited in 529 Journals

 321 Calcolo 309 Journal of Computational and Applied Mathematics 246 Computer Methods in Applied Mechanics and Engineering 224 Applied Mathematics and Computation 193 Computers & Mathematics with Applications 193 Applied Numerical Mathematics 179 Journal of Scientific Computing 149 Numerische Mathematik 138 Numerical Algorithms 131 Mathematics of Computation 118 Journal of Computational Physics 118 Linear Algebra and its Applications 80 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 76 Computational and Applied Mathematics 72 SIAM Journal on Numerical Analysis 70 International Journal of Computer Mathematics 67 Numerical Methods for Partial Differential Equations 59 SIAM Journal on Scientific Computing 53 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 52 Applied Mathematics Letters 47 International Journal for Numerical Methods in Engineering 46 Advances in Computational Mathematics 43 Advances in Difference Equations 42 Journal of Mathematical Analysis and Applications 42 BIT 42 Numerical Functional Analysis and Optimization 33 Computational Mechanics 32 Journal of Inequalities and Applications 31 Mathematics and Computers in Simulation 31 Theoretical Computer Science 30 Computers and Fluids 30 Mathematical Problems in Engineering 30 Abstract and Applied Analysis 28 Journal of Applied Mathematics and Computing 27 Applicable Analysis 27 Computing 25 Filomat 25 AIMS Mathematics 24 Advances in Applied Mathematics and Mechanics 23 RAIRO. Modélisation Mathématique et Analyse Numérique 23 Mediterranean Journal of Mathematics 22 Chaos, Solitons and Fractals 22 Journal of Approximation Theory 21 Journal of Optimization Theory and Applications 21 Computational Methods in Applied Mathematics 20 Linear and Multilinear Algebra 20 Optimization 20 Numerical Linear Algebra with Applications 20 Engineering Analysis with Boundary Elements 19 Journal of Function Spaces 17 International Journal for Numerical Methods in Fluids 17 Mathematical and Computer Modelling 17 Journal of Numerical Mathematics 17 International Journal of Applied and Computational Mathematics 16 Results in Mathematics 16 Comptes Rendus. Mathématique. Académie des Sciences, Paris 15 Fractals 15 ETNA. Electronic Transactions on Numerical Analysis 15 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 15 East Asian Journal on Applied Mathematics 14 RAIRO. Analyse Numérique 14 Journal of Symbolic Computation 14 SIAM Journal on Matrix Analysis and Applications 14 Computational Geosciences 14 International Journal of Computational Methods 13 Mathematical Methods in the Applied Sciences 13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Journal of Applied Mathematics 13 Communications in Computational Physics 13 S$$\vec{\text{e}}$$MA Journal 12 Journal of Complexity 12 Applications of Mathematics 12 Journal of Global Optimization 12 Computational Mathematics and Mathematical Physics 12 Mathematical Programming. Series A. Series B 12 Nonlinear Dynamics 12 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 12 Science China. Mathematics 11 Mathematical Biosciences 11 Rocky Mountain Journal of Mathematics 11 Journal of Differential Equations 11 Bulletin of the Iranian Mathematical Society 11 Journal of Integral Equations and Applications 11 Japan Journal of Industrial and Applied Mathematics 11 Computational Optimization and Applications 11 International Journal of Numerical Analysis and Modeling 11 Advances in Mathematical Physics 10 Information Processing Letters 10 Applied Mathematics and Optimization 10 Demonstratio Mathematica 10 Applied Mathematical Modelling 10 International Journal of Computational Fluid Dynamics 10 Communications in Nonlinear Science and Numerical Simulation 10 Lobachevskii Journal of Mathematics 10 Archives of Computational Methods in Engineering 10 Thai Journal of Mathematics 10 Mathematical Sciences 9 Acta Applicandae Mathematicae 9 Optimization Methods & Software 9 Journal of Industrial and Management Optimization ...and 429 more Journals
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### Cited in 60 Fields

 3,783 Numerical analysis (65-XX) 1,349 Partial differential equations (35-XX) 1,081 Fluid mechanics (76-XX) 480 Approximations and expansions (41-XX) 437 Mechanics of deformable solids (74-XX) 373 Linear and multilinear algebra; matrix theory (15-XX) 322 Calculus of variations and optimal control; optimization (49-XX) 321 Operations research, mathematical programming (90-XX) 293 Ordinary differential equations (34-XX) 237 Operator theory (47-XX) 201 Computer science (68-XX) 182 Integral equations (45-XX) 166 Real functions (26-XX) 112 Biology and other natural sciences (92-XX) 95 Special functions (33-XX) 85 Information and communication theory, circuits (94-XX) 81 Probability theory and stochastic processes (60-XX) 79 Systems theory; control (93-XX) 77 Optics, electromagnetic theory (78-XX) 65 Classical thermodynamics, heat transfer (80-XX) 64 Harmonic analysis on Euclidean spaces (42-XX) 63 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 58 Combinatorics (05-XX) 54 Functional analysis (46-XX) 53 Dynamical systems and ergodic theory (37-XX) 50 Functions of a complex variable (30-XX) 47 Measure and integration (28-XX) 44 Statistical mechanics, structure of matter (82-XX) 43 Geophysics (86-XX) 41 Statistics (62-XX) 39 Number theory (11-XX) 30 Field theory and polynomials (12-XX) 28 Quantum theory (81-XX) 25 Potential theory (31-XX) 22 Sequences, series, summability (40-XX) 21 Integral transforms, operational calculus (44-XX) 19 Mathematical logic and foundations (03-XX) 18 Difference and functional equations (39-XX) 17 Global analysis, analysis on manifolds (58-XX) 14 History and biography (01-XX) 13 Commutative algebra (13-XX) 13 Algebraic geometry (14-XX) 11 General topology (54-XX) 9 General and overarching topics; collections (00-XX) 9 Convex and discrete geometry (52-XX) 7 Mechanics of particles and systems (70-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 3 Group theory and generalizations (20-XX) 3 Differential geometry (53-XX) 2 Associative rings and algebras (16-XX) 2 Nonassociative rings and algebras (17-XX) 2 Category theory; homological algebra (18-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Astronomy and astrophysics (85-XX) 1 General algebraic systems (08-XX) 1 Abstract harmonic analysis (43-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX)