## Applied Numerical Mathematics

 Short Title: Appl. Numer. Math. Publisher: Elsevier (North-Holland), Amsterdam; International Association for Mathematics and Computers in Simulation (IMACS), New Brunswick, NJ ISSN: 0168-9274 Online: http://www.sciencedirect.com/science/journal/01689274 Comments: Indexed cover-to-cover
 Documents Indexed: 4,279 Publications (since 1985) References Indexed: 3,969 Publications with 107,967 References.
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### Latest Issues

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### Authors

 35 Dehghan Takht Fooladi, Mehdi 31 Jackiewicz, Zdzislaw 28 Weiner, Rüdiger 27 Butcher, John C. 21 Reichel, Lothar 20 van der Houwen, Pieter J. 19 Sommeijer, Ben P. 19 Verwer, Jan G. 18 Brezinski, Claude 15 Băleanu, Dumitru I. 15 Brugnano, Luigi 15 Zhang, Chengjian 14 Abdi, Ali 14 Baccouch, Mahboub 14 Flaherty, Joseph E. 13 Burrage, Kevin 13 Li, Zi-Cai 13 Schmitt, Bernhard A. 13 Turkel, Eli L. 12 Oosterlee, Cornelis Willebrordus 12 Ostermann, Alexander 12 Paternoster, Beatrice 12 Shi, Dongyang 11 Abbaszadeh, Mostafa 11 Hojjati, Gholamreza 11 Macías-Díaz, Jorge Eduardo 11 Redivo-Zaglia, Michela 10 Boyd, John Philip 10 D’Ambrosio, Raffaele 10 Ferreira, José Augusto 10 González-Vera, Pablo 10 in ’t Hout, Karel J. 10 Jbilou, Khalide 10 Mei, Liquan 10 Nordström, Jan 10 Petzold, Linda Ruth 10 Shampine, Lawrence Fred 10 Stephan, Ernst Peter 10 Trigiante, Donato 10 Wu, Xinyuan 9 Arnold, Martin 9 Bai, Zhongzhi 9 Berzins, Martin 9 Blanes, Sergio 9 Chen, Yanping 9 Günther, Michael 9 Guo, Ben-Yu 9 Huang, Hung-Tsai 9 Hundsdorfer, Willem H. 9 Jorge, Juan Carlos 9 Lima, Pedro Miguel 9 Mikula, Karol 9 Podhaisky, Helmut 9 Roul, Pradip 9 Shen, Jie 9 Stynes, Martin 9 Tsynkov, Semyon V. 9 Wang, Yuanming 9 Zaky, Mahmoud A. 8 Baker, Christopher Thomas Hale 8 Brunner, Hermann 8 Calvo, M. P. 8 Cano, Begoña 8 Cao, Zhihao 8 Copetti, Maria Inês M. 8 Feldstein, Alan 8 Fernández, Jose Ramon 8 He, Yinnian 8 Huang, Chengming 8 Jimack, Peter K. 8 Li, Xiaoli 8 Liang, Dong 8 Mazzia, Francesca 8 O’Riordan, Eugene 8 Pulch, Roland 8 Sanz-Serna, Jesús María 8 Shu, Chi-Wang 8 Spijker, Marc N. 8 Spitaleri, Rosa Maria 8 Strehmel, Karl 8 Van Daele, Marnix 8 Vanden Berghe, Guido 8 Vuik, Cornelis 8 Wang, Zhongqing 8 Weinmüller, Ewa B. 8 Xiao, Aiguo 8 Zennaro, Marino 8 Zhao, Jingjun 8 Zhu, Peng 7 Alonso-Mallo, Isaías 7 Biswas, Rupak 7 Bürger, Raimund 7 Chacón Rebollo, Tomás 7 Chen, Jinru 7 Dumbser, Michael 7 Ford, Neville J. 7 Forsyth, Peter A. 7 Gladwell, Ian 7 González-Pinto, Severiano 7 Gottlieb, David I. ...and 5,532 more Authors
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### Fields

 3,661 Numerical analysis (65-XX) 1,412 Partial differential equations (35-XX) 650 Fluid mechanics (76-XX) 629 Ordinary differential equations (34-XX) 239 Integral equations (45-XX) 181 Mechanics of deformable solids (74-XX) 161 Approximations and expansions (41-XX) 134 Operations research, mathematical programming (90-XX) 127 Probability theory and stochastic processes (60-XX) 125 Optics, electromagnetic theory (78-XX) 111 Biology and other natural sciences (92-XX) 108 Calculus of variations and optimal control; optimization (49-XX) 106 Real functions (26-XX) 101 Dynamical systems and ergodic theory (37-XX) 90 Linear and multilinear algebra; matrix theory (15-XX) 66 Classical thermodynamics, heat transfer (80-XX) 64 Geophysics (86-XX) 63 Special functions (33-XX) 61 General and overarching topics; collections (00-XX) 58 Statistical mechanics, structure of matter (82-XX) 58 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 50 Harmonic analysis on Euclidean spaces (42-XX) 46 Operator theory (47-XX) 44 Mechanics of particles and systems (70-XX) 42 Computer science (68-XX) 42 Information and communication theory, circuits (94-XX) 36 Functions of a complex variable (30-XX) 36 Systems theory; control (93-XX) 27 Quantum theory (81-XX) 24 Sequences, series, summability (40-XX) 24 Integral transforms, operational calculus (44-XX) 14 Statistics (62-XX) 13 History and biography (01-XX) 10 Potential theory (31-XX) 10 Difference and functional equations (39-XX) 8 Number theory (11-XX) 7 Differential geometry (53-XX) 6 Combinatorics (05-XX) 6 Field theory and polynomials (12-XX) 6 Functional analysis (46-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Astronomy and astrophysics (85-XX) 3 Topological groups, Lie groups (22-XX) 3 Relativity and gravitational theory (83-XX) 1 Commutative algebra (13-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX)

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3,439 Publications have been cited 34,705 times in 24,170 Documents Cited by Year
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2006
Finite difference approximations for two-sided space-fractional partial differential equations. Zbl 1086.65087
2006
Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations. Zbl 0896.65061
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1997
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1998
Additive Runge-Kutta schemes for convection-diffusion-reaction equations. Zbl 1013.65103
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2003
Strong contractivity properties of numerical methods for ordinary and delay differential equations. Zbl 0749.65042
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Mathematical and numerical models for coupling surface and groundwater flows. Zbl 1023.76048
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2002
Parallel, adaptive finite element methods for conservation laws. Zbl 0826.65084
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1994
BoomerAMG: A parallel algebraic multigrid solver and preconditioner. Zbl 0995.65128
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2002
Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method. Zbl 1316.65099
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2012
Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws. Zbl 1038.65096
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2004
Solving DDEs in Matlab. Zbl 0983.65079
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2001
The immersed interface method using a finite element formulation. Zbl 0936.65091
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1998
Absorbing PML boundary layers for wave-like equations. Zbl 0933.35188
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1998
Low-storage, explicit Runge-Kutta schemes for the compressible Navier-Stokes equations. Zbl 0986.76060
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2000
Optimization as a function of the phase-lag order of nonlinear explicit two-step $$P$$-stable method for linear periodic IVPs. Zbl 1169.65324
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2009
Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems. Zbl 1012.65136
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2002
Global FOM and GMRES algorithms for matrix equations. Zbl 0935.65024
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1999
On large time-stepping methods for the Cahn-Hilliard equation. Zbl 1118.65109
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2007
On a class of preconditioners for solving the Helmholtz equation. Zbl 1051.65101
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2004
A finite difference scheme for partial integro-differential equations with a weakly singular kernel. Zbl 0768.65093
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1993
Some results on uniformly high-order accurate essentially nonoscillatory schemes. Zbl 0627.65101
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Efficient techniques for the second-order parabolic equation subject to nonlocal specifications. Zbl 1063.65079
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2005
A stabilized finite element method based on local polynomial pressure projection for the stationary Navier-Stokes equations. Zbl 1155.35406
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2008
Runge-Kutta(-Nyström) methods for ODEs with periodic solutions based on trigonometric polynomials. Zbl 0927.65097
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1998
Restoring particle consistency in smoothed particle hydrodynamics. Zbl 1329.76285
Liu, M. B.; Liu, G. R.
2006
New methods for oscillatory systems based on ARKN methods. Zbl 1096.65068
Franco, J. M.
2006
Optimal a priori estimates for higher order finite elements for elliptic interface problems. Zbl 1208.65168
Li, Jingzhi; Melenk, Jens Markus; Wohlmuth, Barbara; Zou, Jun
2010
Several new numerical methods for compressible shear-layer simulations. Zbl 0804.76062
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1994
An algebraic theory for primal and dual substructuring methods by constraints. Zbl 1076.65100
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2005
A meshless based method for solution of integral equations. Zbl 1202.65174
Mirzaei, Davoud; Dehghan, Mehdi
2010
A weighted finite difference method for the fractional diffusion equation based on the Riemann-Liouville derivative. Zbl 1326.65111
Sousa, Ercília; Li, Can
2015
Review of preconditioning methods for fluid dynamics. Zbl 0770.76048
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1993
Chebyshev tau-QZ algorithm methods for calculating spectra of hydrodynamic stability problems. Zbl 0867.76025
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1996
High strong order explicit Runge-Kutta methods for stochastic ordinary differential equations. Zbl 0868.65101
Burrage, K.; Burrage, P. M.
1996
A comparative study of sparse approximate inverse preconditioners. Zbl 0949.65043
Benzi, Michele; Tuma, Miroslav
1999
The midpoint upwind scheme. Zbl 0877.65055
Stynes, Martin; Roos, Hans-Görg
1997
A cut finite element method for a Stokes interface problem. Zbl 1299.76136
Hansbo, Peter; Larson, Mats G.; Zahedi, Sara
2014
Linearly implicit Runge-Kutta methods for advection-reaction-diffusion equations. Zbl 0983.65106
Calvo, M. P.; de Frutos, J.; Novo, J.
2001
An improved collocation method for multi-dimensional space-time variable-order fractional Schrödinger equations. Zbl 1353.65106
Bhrawy, A. H.; Zaky, M. A.
2017
Exponential Runge-Kutta methods for parabolic problems. Zbl 1070.65099
Hochbruck, Marlis; Ostermann, Alexander
2005
A modified quasi-boundary value method for an inverse source problem of the time-fractional diffusion equation. Zbl 1282.65141
Wei, Ting; Wang, Jungang
2014
On the stability of implicit-explicit linear multistep methods. Zbl 0887.65094
Frank, J.; Hundsdorfer, W.; Verwer, J. G.
1997
A study of orthonormal multi-wavelets. Zbl 0877.65098
Chui, Charles K.; Lian, Jian-ao
1996
Diagonally-implicit multi-stage integration methods. Zbl 0773.65046
Butcher, J. C.
1993
Fourth-order alternating direction implicit compact finite difference schemes for two-dimensional Schrödinger equations. Zbl 1221.65220
Gao, Zhen; Xie, Shusen
2011
Meshless local Petrov-Galerkin (MLPG) method for the unsteady magnetohydrodynamic (MHD) flow through pipe with arbitrary wall conductivity. Zbl 1159.76034
Dehghan, Mehdi; Mirzaei, Davoud
2009
Block triangular preconditioners for symmetric saddle-point problems. Zbl 1053.65033
Simoncini, V.
2004
A formulation of asymptotic and exact boundary conditions using local operators. Zbl 0924.35167
Hagstrom, Thomas; Hariharan, S. I.
1998
Adaptive radial basis function methods for time dependent partial differential equations. Zbl 1069.65109
Sarra, Scott A.
2005
High order Runge-Kutta methods on manifolds. Zbl 0934.65077
Munthe-Kaas, Hans
1999
Analysis of a stabilized finite element approximation of the Oseen equations using orthogonal subscales. Zbl 1144.76029
Codina, Ramon
2008
Discontinuous Galerkin methods for coupled flow and reactive transport problems. Zbl 1079.76584
Sun, Shuyu; Wheeler, Mary F.
2005
Efficient spectral-Galerkin algorithms for direct solution of fourth-order differential equations using Jacobi polynomials. Zbl 1152.65112
Doha, Eid H.; Bhrawy, Ali H.
2008
Multisymplectic box schemes and the Korteweg-de Vries equation. Zbl 1038.65138
Ascher, Uri M.; McLachlan, Robert I.
2004
Numerical valuation of options with jumps in the underlying. Zbl 1117.91028
Almendral, Ariel; Oosterlee, Cornelis W.
2005
The effect of the formulation of nonlinear terms on aliasing errors in spectral methods. Zbl 0858.76060
Blaisdell, G. A.; Spyropoulos, E. T.; Qin, J. H.
1996
Discrete multi-resolution analysis and generalized wavelets. Zbl 0777.65004
Harten, Ami
1993
Convergence analysis of finite difference approximations on equidistributed grids to a singularly perturbed boundary value problem. Zbl 0963.65086
Beckett, G.; Mackenzie, J. A.
2000
Efficient and accurate spectral method using generalized Jacobi functions for solving Riesz fractional differential equations. Zbl 1382.65222
Mao, Zhiping; Chen, Sheng; Shen, Jie
2016
Spectral gradient projection method for monotone nonlinear equations with convex constraints. Zbl 1183.65056
Yu, Zhensheng; Lin, Ji; Sun, Jing; Xiao, Yunhai; Liu, Liying; Li, Zhanhui
2009
A trigonometrically fitted explicit Numerov-type method for second-order initial value problems with oscillating solutions. Zbl 1136.65068
Fang, Yonglei; Wu, Xinyuan
2008
A moving least square reproducing polynomial meshless method. Zbl 1284.65137
Salehi, Rezvan; Dehghan, Mehdi
2013
Preconditioners for saddle point problems arising in computational fluid dynamics. Zbl 1168.76348
Elman, Howard C.
2002
On the rotation and skew-symmetric forms for incompressible flow simulations. Zbl 0708.76071
Zang, Thomas A.
1991
A class of discontinuous Petrov-Galerkin methods. III: Adaptivity. Zbl 1316.76047
Demkowicz, Leszek; Gopalakrishnan, Jay; Niemi, Antti H.
2012
A dimensional split preconditioner for Stokes and linearized Navier-Stokes equations. Zbl 1302.65074
Benzi, Michele; Guo, Xue-Ping
2011
An affine scaling trust-region approach to bound-constrained nonlinear systems. Zbl 1018.65067
Bellavia, Stefania; Macconi, Maria; Morini, Benedetta
2003
Meshless Galerkin algorithms for boundary integral equations with moving least square approximations. Zbl 1232.65160
Li, Xiaolin
2011
Two regularization methods to identify a space-dependent source for the time-fractional diffusion equation. Zbl 1266.65161
Wang, Jun-Gang; Zhou, Yu-Bin; Wei, Ting
2013
On the numerical inversion of the Laplace transform of certain holomorphic mappings. Zbl 1059.65120
López-Fernández, M.; Palencia, C.
2004
A nonstandard finite-difference scheme for the Lotka–Volterra system. Zbl 1025.65047
Mickens, Ronald E.
2003
ROWMAP – a ROW-code with Krylov techniques for large stiff ODEs. Zbl 0895.65035
Weiner, R.; Schmitt, B. A.; Podhaisky, H.
1997
Adjoint operators for the natural discretizations of the divergence, gradient and curl on logically rectangular grids. Zbl 1005.65024
Hyman, James M.; Shashkov, Mikhail
1997
Geometrical image segmentation by the Allen-Cahn equation. Zbl 1055.94502
Beneš, Michal; Chalupecký, Vladimír; Mikula, Karol
2004
Error estimates for the finite point method. Zbl 1145.65086
Cheng, Rongjun; Cheng, Yumin
2008
A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations. Zbl 1123.65040
An, Heng-Bin; Bai, Zhong-Zhi
2007
Finite volume methods, unstructured meshes and strict stability for hyperbolic problems. Zbl 1019.65066
Nordström, Jan; Forsberg, Karl; Adamsson, Carl; Eliasson, Peter
2003
Error estimates for the moving least-square approximation and the element-free Galerkin method in $$n$$-dimensional spaces. Zbl 1329.65274
Li, Xiaolin
2016
Unconditional stability of second-order ADI schemes applied to multi-dimensional diffusion equations with mixed derivative terms. Zbl 1161.65073
in ’t Hout, K. J.; Welfert, B. D.
2009
Positive stable block triangular preconditioners for symmetric saddle point problems. Zbl 1118.65021
Cao, Zhi-Hao
2007
Overlapping domain decomposition method by radial basis functions. Zbl 1013.65134
Zhou, X.; Hon, Y. C.; Li, Jichun
2003
Explicit Runge-Kutta methods for parabolic partial differential equations. Zbl 0868.65064
Verwer, J. G.
1996
A new Jacobi rational-Gauss collocation method for numerical solution of generalized pantograph equations. Zbl 1302.65175
Doha, E. H.; Bhrawy, A. H.; Baleanu, D.; Hafez, R. M.
2014
Optimal implicit strong stability preserving Runge-Kutta methods. Zbl 1157.65046
Ketcheson, David I.; Macdonald, Colin B.; Gottlieb, Sigal
2009
Generalized Jacobi polynomials/functions and their applications. Zbl 1171.33006
Guo, Ben-Yu; Shen, Jie; Wang, Li-Lian
2009
Stability of ADI schemes applied to convection–diffusion equations with mixed derivative terms. Zbl 1175.65104
in ’t Hout, K. J.; Welfert, B. D.
2007
Quasi-orthogonality with applications to some families of classical orthogonal polynomials. Zbl 1047.33002
Brezinski, C.; Driver, K. A.; Redivo-Zaglia, M.
2004
Wavelet-Galerkin method for integro-differential equations. Zbl 0955.65100
Avudainayagam, A.; Vani, C.
2000
Direct meshless local Petrov-Galerkin (DMLPG) method: A generalized MLS approximation. Zbl 1263.65118
Mirzaei, Davoud; Schaback, Robert
2013
Multistep collocation methods for Volterra integral equations. Zbl 1172.65069
Conte, D.; Paternoster, B.
2009
Laguerre matrix polynomials and systems of second-order differential equations. Zbl 0821.34010
Jódar, L.; Company, R.; Navarro, E.
1994
On the low-rank approximation by the pivoted Cholesky decomposition. Zbl 1244.65042
Harbrecht, Helmut; Peters, Michael; Schneider, Reinhold
2012
Fourierization of the Legendre-Galerkin method and a new space-time spectral method. Zbl 1118.65111
Shen, Jie; Wang, Li-Lian
2007
ADI schemes for higher-order nonlinear diffusion equations. Zbl 1061.76051
Witelski, T. P.; Bowen, M.
2003
Strong stability of singly-diagonally-implicit Runge-Kutta methods. Zbl 1153.65080
Ferracina, L.; Spijker, M. N.
2008
Accuracy and linear stability of RKN methods for solving second-order stiff problems. Zbl 1161.65062
Franco, J. M.; Gómez, I.
2009
On HSS-based iteration methods for weakly nonlinear systems. Zbl 1178.65047
Bai, Zhong-Zhi; Yang, Xi
2009
A high order, progressive method for the evaluation of irregular oscillatory integrals. Zbl 0906.65024
Evans, G. A.; Webster, J. R.
1997
Parallel adaptive $$hp$$-refinement techniques for conservation laws. Zbl 0860.65095
Devine, Karen D.; Flaherty, Joseph E.
1996
A stable and efficient technique for linear boundary value problems by applying kernel functions. Zbl 1484.65170
Li, X. Y.; Wang, H. L.; Wu, B. Y.
2022
Error analysis of an implicit Galerkin meshfree scheme for general second-order parabolic problems. Zbl 1484.65237
Zhang, Tao; Li, Xiaolin; Xu, Liwei
2022
Double parameter splitting (DPS) iteration method for solving complex symmetric linear systems. Zbl 1482.65054
Shirilord, Akbar; Dehghan, Mehdi
2022
Monotone cubic spline interpolation for functions with a strong gradient. Zbl 1484.65026
Aràndiga, Francesc; Baeza, Antonio; Yáñez, Dionisio F.
2022
Difference finite element method for the 3D steady Stokes equations. Zbl 1482.76078
Feng, Xinlong; Lu, Xiaoli; He, Yinnian
2022
Mathematical analysis and numerical methods for Caputo-Hadamard fractional diffusion-wave equations. Zbl 1484.65187
Ou, Caixia; Cen, Dakang; Vong, Seakweng; Wang, Zhibo
2022
Nyström methods for approximating the solutions of an integral equation arising from a problem in mathematical biology. Zbl 1482.65233
De Bonis, Maria Carmela; Stanić, Marija P.; Tomović Mladenović, Tatjana V.
2022
Convergence in the maximum norm of ADI-type methods for parabolic problems. Zbl 07418837
González-Pinto, S.; Hernández-Abreu, D.
2022
Partitioned time stepping method with different time scales for a dual-porosity-Stokes model. Zbl 07418838
Shan, Li; Zhang, Haicheng
2022
Supercloseness of finite element method on a bakhvalov-type mesh for a singularly perturbed problem with two parameters. Zbl 07418840
Zhang, Jin; Lv, Yanhui
2022
An explicit algorithm for solving monotone variational inequalities. Zbl 1480.49016
Thong, Duong Viet; Gibali, Aviv; Vuong, Phan Tu
2022
Energy-preserving exponential integrator Fourier pseudo-spectral schemes for the nonlinear Dirac equation. Zbl 1484.65263
Li, Jiyong
2022
A weak approximation method for irregular functionals of hypoelliptic diffusions. Zbl 1484.65009
2022
Unconditionally optimal convergence of a linearized Galerkin FEM for the nonlinear time-fractional mobile/immobile transport equation. Zbl 1484.65220
Guan, Zhen; Wang, Jungang; Liu, Ying; Nie, Yufeng
2022
Multilevel correction goal-oriented adaptive finite element method for semilinear elliptic equations. Zbl 1484.65306
Xu, Fei; Huang, Qiumei; Yang, Huiting; Ma, Hongkun
2022
Qualitative property preservation of high-order operator splitting for the SIR model. Zbl 1484.92006
Wei, Siqi; Spiteri, Raymond J.
2022
The formally second-order BDF ADI difference/compact difference scheme for the nonlocal evolution problem in three-dimensional space. Zbl 1484.65345
Qiao, Leijie; Xu, Da; Qiu, Wenlin
2022
Linearly implicit variable step-size BDF schemes with Fourier pseudospectral approximation for incompressible Navier-Stokes equations. Zbl 1484.65276
Wang, Wansheng; Wang, Zheng; Mao, Mengli
2022
High resolution operator compact implicit half-step approximation for 3D quasi-linear hyperbolic equations and ADI method for 3D telegraphic equation on an irrational domain. Zbl 1484.65185
Mohanty, R. K.; Ghosh, Bishnu Pada
2022
A reduced-order extrapolated finite difference iterative scheme for uniform transmission line equation. Zbl 1484.65178
Deng, Qiuxiang; Luo, Zhendong
2022
Non-iterative domain decomposition for the Helmholtz equation with strong material discontinuities. Zbl 1484.35163
North, Evan; Tsynkov, Semyon; Turkel, Eli
2022
New summation formulas of Fox-Wright-type series containing the polygamma functions. Zbl 1484.33020
Mehrez, Khaled
2022
Local $$H^1$$-norm error analysis of a mixed finite element method for a time-fractional biharmonic equation. Zbl 1484.65222
Huang, Chaobao; An, Na; Chen, Hu
2022
Fast difference scheme for the reaction-diffusion-advection equation with exact artificial boundary conditions. Zbl 1486.65113
Li, Can; Wang, Haihong; Yue, Hongyun; Guo, Shimin
2022
High-order bicompact schemes for the quasilinear multidimensional diffusion equation. Zbl 1486.65095
Bragin, Michael D.
2022
Least-squares ReLU neural network (LSNN) method for scalar nonlinear hyperbolic conservation law. Zbl 1484.65174
Cai, Zhiqiang; Chen, Jingshuang; Liu, Min
2022
Numerical solution of the Cauchy problem for Volterra integrodifferential equations with difference kernels. Zbl 1485.65137
Vabishchevich, P. N.
2022
Two-dimensional Gegenbauer wavelets for the numerical solution of tempered fractional model of the nonlinear Klein-Gordon equation. Zbl 1484.65271
Rayal, Ashish; Verma, Sag Ram
2022
A staggered semi-implicit hybrid finite volume / finite element scheme for the shallow water equations at all Froude numbers. Zbl 1485.76056
Busto, S.; Dumbser, M.
2022
Unconditionally energy stable $$C^0$$-virtual element scheme for solving generalized Swift-Hohenberg equation. Zbl 07533830
Dehghan, Mehdi; Gharibi, Zeinab; Eslahchi, Mohammad Reza
2022
Solving fractal-fractional differential equations using operational matrix of derivatives via Hilfer fractal-fractional derivative sense. Zbl 07533835
Shloof, A. M.; Senu, N.; Ahmadian, A.; Nik Long, N. M. A.; Salahshour, S.
2022
A spectral collocation method for solving fractional KdV and KdV-Burgers equations with non-singular kernel derivatives. Zbl 1457.76114
2021
A fourth-order least-squares based reproducing kernel method for one-dimensional elliptic interface problems. Zbl 1460.65095
Xu, Minqiang; Zhang, Lufang; Tohidi, Emran
2021
Sharp error estimate of a compact $$L1$$-ADI scheme for the two-dimensional time-fractional integro-differential equation with singular kernels. Zbl 1459.65160
Wang, Zhibo; Cen, Dakang; Mo, Yan
2021
Numerical analysis and applications of explicit high order maximum principle preserving integrating factor Runge-Kutta schemes for Allen-Cahn equation. Zbl 07310823
Zhang, Hong; Yan, Jingye; Qian, Xu; Song, Songhe
2021
Analysis of versions of relaxed inertial projection and contraction method. Zbl 1466.49015
Shehu, Yekini; Liu, Lulu; Mu, Xuewen; Dong, Qiao-Li
2021
Shifted fifth-kind Chebyshev Galerkin treatment for linear hyperbolic first-order partial differential equations. Zbl 1476.65235
Atta, A. G.; Abd-Elhameed, W. M.; Moatimid, G. M.; Youssri, Y. H.
2021
Terminal value problems for the nonlinear systems of fractional differential equations. Zbl 1482.65109
Shiri, Babak; Wu, Guo-Cheng; Baleanu, Dumitru
2021
A high-order accurate finite difference scheme for the KdV equation with time-periodic boundary forcing. Zbl 1459.76094
Wang, Xiaofeng; Dai, Weizhong; Usman, Muhammad
2021
An efficient dissipation-preserving Legendre-Galerkin spectral method for the Higgs boson equation in the de Sitter spacetime universe. Zbl 1458.35411
Zaky, Mahmoud A.; Hendy, Ahmed S.
2021
Optimal point-wise error estimate of two conservative fourth-order compact finite difference schemes for the nonlinear Dirac equation. Zbl 1457.81035
Li, Jiyong; Wang, Tingchun
2021
Convergence analysis of weak Galerkin flux-based mixed finite element method for solving singularly perturbed convection-diffusion-reaction problem. Zbl 1459.65221
Gharibi, Zeinab; Dehghan, Mehdi
2021
Two spectral Legendre’s derivative algorithms for Lane-Emden, Bratu equations, and singular perturbed problems. Zbl 1472.65090
Abdelhakem, M.; Youssri, Y. H.
2021
Numerical investigation for Caputo-Fabrizio fractional Riccati and Bernoulli equations using iterative reproducing kernel method. Zbl 1482.65120
2021
A parallel stabilized finite element variational multiscale method based on fully overlapping domain decomposition for the incompressible Navier-Stokes equations. Zbl 1459.65228
Zheng, Bo; Y. Q. Shang, Yueqiang
2021
A meshless method for time fractional nonlinear mixed diffusion and diffusion-wave equation. Zbl 1459.65137
Bhardwaj, Akanksha; Kumar, Alpesh
2021
Orthonormal shifted discrete Legendre polynomials for solving a coupled system of nonlinear variable-order time fractional reaction-advection-diffusion equations. Zbl 1461.65246
Heydari, M. H.; Avazzadeh, Z.; Atangana, A.
2021
A preconditioned fast finite element approximation to variable-order time-fractional diffusion equations in multiple space dimensions. Zbl 1471.65144
Jia, Jinhong; Wang, Hong; Zheng, Xiangcheng
2021
A general framework for the numerical analysis of high-order finite difference solvers for nonlinear multi-term time-space fractional partial differential equations with time delay. Zbl 1486.65105
Hendy, Ahmed S.; Zaky, Mahmoud A.; De Staelen, Rob H.
2021
Numerical simulation of fractional evolution model arising in viscoelastic mechanics. Zbl 1486.65206
2021
A numerical method for two-dimensional multi-term time-space fractional nonlinear diffusion-wave equations. Zbl 1459.65145
2021
The Crank-Nicolson-type sinc-Galerkin method for the fourth-order partial integro-differential equation with a weakly singular kernel. Zbl 1459.65189
Qiu, Wenlin; Xu, Da; Guo, Jing
2021
Iterated fractional Tikhonov regularization method for solving the spherically symmetric backward time-fractional diffusion equation. Zbl 1467.65090
Yang, Shuping; Xiong, Xiangtuan; Nie, Yan
2021
On the identification of nonlinear terms in the generalized Camassa-Holm equation involving dual-power law nonlinearities. Zbl 1459.65153
Nanta, Supawan; Yimnet, Suriyon; Poochinapan, Kanyuta; Wongsaijai, Ben
2021
A unified spectral collocation method for nonlinear systems of multi-dimensional integral equations with convergence analysis. Zbl 1459.65250
Zaky, Mahmoud A.; Ameen, Ibrahem G.; Elkot, Nermeen A.; Doha, Eid H.
2021
Perturbation analysis for total least squares problems with linear equality constraint. Zbl 1459.65085
Liu, Qiaohua; Chen, Cuiping; Zhang, Qian
2021
An hp-version of the discontinuous Galerkin time-stepping method for Volterra integral equations with weakly singular kernels. Zbl 1459.65249
Wang, Lina; Tian, Hongjiong; Yi, Lijun
2021
Decoupled modified characteristic finite element method with different subdomain time steps for nonstationary dual-porosity-Navier-Stokes model. Zbl 1468.76038
Cao, Luling; He, Yinnian; Li, Jian; Mahbub, Md. Abdullah Al
2021
A weak Galerkin finite element method for time fractional reaction-diffusion-convection problems with variable coefficients. Zbl 1486.65179
Toprakseven, Şuayip
2021
Fractional order Alpert multiwavelets for discretizing delay fractional differential equation of pantograph type. Zbl 1482.65102
Hashemi, M. S.; Ashpazzadeh, E.; Moharrami, M.; Lakestani, M.
2021
A family of new globally convergent linearization schemes for solving Richards’ equation. Zbl 1459.65135
Albuja, Guillermo; Ávila, Andrés I.
2021
Defect-deferred correction method based on a subgrid artificial viscosity model for fluid-fluid interaction. Zbl 1457.76095
Aggul, Mustafa; Kaya, Songül
2021
A Crank-Nicolson ADI quadratic spline collocation method for two-dimensional Riemann-Liouville space-fractional diffusion equations. Zbl 1462.65162
Liu, Jun; Zhu, Chen; Chen, Yanping; Fu, Hongfei
2021
Efficient numerical algorithms for Riesz-space fractional partial differential equations based on finite difference/operational matrix. Zbl 1475.65081
Srivastava, Nikhil; Singh, Aman; Kumar, Yashveer; Singh, Vineet Kumar
2021
Moving least squares and spectral collocation method to approximate the solution of stochastic Volterra-Fredholm integral equations. Zbl 1472.65165
Mirzaee, Farshid; Solhi, Erfan; Samadyar, Nasrin
2021
Linearly implicit GARK schemes. Zbl 1475.65077
Sandu, Adrian; Günther, Michael; Roberts, Steven
2021
A fast numerical method for fractional partial integro-differential equations with spatial-time delays. Zbl 1461.65218
Aslan, Ersin; Kürkçü, Ömür Kıvanç; Sezer, Mehmet
2021
Error estimates in weak Galerkin finite element methods for parabolic equations under low regularity assumptions. Zbl 1466.65125
Deka, Bhupen; Kumar, Naresh
2021
New primal-dual weak Galerkin finite element methods for convection-diffusion problems. Zbl 1460.65144
Cao, Waixiang; Wang, Chunmei
2021
A reduced-order extrapolated model based on splitting implicit finite difference scheme and proper orthogonal decomposition for the fourth-order nonlinear Rosenau equation. Zbl 1458.35381
Zhou, Yanjie; Zhang, Yanan; Liang, Ye; Luo, Zhendong
2021
A geometric probability randomized Kaczmarz method for large scale linear systems. Zbl 1460.65036
Yang, Xi
2021
Two-dimensional Euler polynomials solutions of two-dimensional Volterra integral equations of fractional order. Zbl 1464.65293
Wang, Yifei; Huang, Jin; Wen, Xiaoxia
2021
A class of efficient time-stepping methods for multi-term time-fractional reaction-diffusion-wave equations. Zbl 1475.65136
Yin, Baoli; Liu, Yang; Li, Hong; Zeng, Fanhai
2021
An efficient second order stabilized scheme for the two dimensional time fractional Allen-Cahn equation. Zbl 1475.65145
Jia, Junqing; Zhang, Hui; Xu, Huanying; Jiang, Xiaoyun
2021
An efficient energy-preserving method for the two-dimensional fractional Schrödinger equation. Zbl 1475.65068
Fu, Yayun; Xu, Zhuangzhi; Cai, Wenjun; Wang, Yushun
2021
Explicit pseudo-transient continuation and the trust-region updating strategy for unconstrained optimization. Zbl 1468.65073
Luo, Xin-long; Xiao, Hang; Lv, Jia-hui; Zhang, Sen
2021
Numerical analysis of a dual-phase-lag model with microtemperatures. Zbl 1465.74042
Bazarra, N.; Copetti, M. I. M.; Fernández, J. R.; Quintanilla, R.
2021
A compact finite difference scheme for fractional Black-Scholes option pricing model. Zbl 1467.91215
2021
Convergence analysis of a second-order semi-implicit projection method for Landau-Lifshitz equation. Zbl 1469.82037
Chen, Jingrun; Wang, Cheng; Xie, Changjian
2021
On the Hermitian and skew-Hermitian splitting-like iteration approach for solving complex continuous-time algebraic Riccati matrix equation. Zbl 1482.65065
Dehghan, Mehdi; Shirilord, Akbar
2021
Operator splitting for space-dependent epidemic model. Zbl 1459.65139
Csomós, Petra; Takács, Bálint
2021
An asymptotic preserving semi-implicit multiderivative solver. Zbl 1459.65159
Schütz, Jochen; Seal, David C.
2021
Mapped spectral collocation methods for Volterra integral equations with noncompact kernels. Zbl 1472.65169
Yang, Yin; Tang, Zhuyan
2021
A new approach for solving one-dimensional fractional boundary value problems via Haar wavelet collocation method. Zbl 1459.65126
Jong, KumSong; Choi, HuiChol; Jang, KyongJun; Pak, SunAe
2021
A linearly implicit structure-preserving scheme for the fractional sine-Gordon equation based on the IEQ approach. Zbl 1467.65082
Fu, Yayun; Cai, Wenjun; Wang, Yushun
2021
Rotational pressure-correction method for the Stokes/Darcy model based on the modular grad-div stabilization. Zbl 1458.35340
Li, Wei; Fang, Jilin; Qin, Yi; Huang, Pengzhan
2021
Optimal-order finite element approximations to variable-coefficient two-sided space-fractional advection-reaction-diffusion equations in three space dimensions. Zbl 1462.65208
Zheng, Xiangcheng; Liu, Huan; Wang, Hong; Fu, Hongfei
2021
Numerical solution of nonlinear weakly singular Volterra integral equations of the first kind: an hp-version collocation approach. Zbl 1471.65222
2021
Numerical technique for fractional variable-order differential equation of fourth-order with delay. Zbl 1460.65130
Nandal, Sarita; Pandey, Dwijendra Narain
2021
Spectral approximation methods for non equilibrium transport in turbulent channel flows using fADE. Zbl 1459.65195
Ghosh, Surath; Kundu, Snehasis; Kumar, Sunil; Mahmoud, Emad E.
2021
Optimal superconvergence and asymptotically exact a posteriori error estimator for the local discontinuous Galerkin method for linear elliptic problems on Cartesian grids. Zbl 1458.65144
Baccouch, Mahboub
2021
Fast spectral Petrov-Galerkin method for fractional elliptic equations. Zbl 1458.65155
Hao, Zhaopeng; Zhang, Zhongqiang
2021
A divergence-free generalized moving least squares approximation with its application. Zbl 1458.76080
2021
The power method and beyond. Zbl 1460.65038
Bai, Zhong-Zhi; Wu, Wen-Ting; Muratova, Galina V.
2021
Novel linear decoupled and unconditionally energy stable numerical methods for the modified phase field crystal model. Zbl 1458.65111
Liu, Zhengguang; Chen, Shuangshuang
2021
A linear, high-order, and unconditionally energy stable scheme for the epitaxial thin film growth model without slope selection. Zbl 1458.65120
Shin, Jaemin; Lee, Hyun Geun
2021
A fractional spectral collocation method for general Caputo two-point boundary value problems. Zbl 1460.65092
Cai, Haotao; An, Qiguang
2021
Computing the matrix sine and cosine simultaneously with a reduced number of products. Zbl 1460.65047
Seydaoğlu, Muaz; Bader, Philipp; Blanes, Sergio; Casas, Fernando
2021
A space-time spectral method for time-fractional Black-Scholes equation. Zbl 1466.91320
An, Xingyu; Liu, Fawang; Zheng, Minling; Anh, Vo V.; Turner, Ian W.
2021
A third-order WENO scheme based on exponential polynomials for Hamilton-Jacobi equations. Zbl 1475.65073
Kim, Chang Ho; Ha, Youngsoo; Yang, Hyoseon; Yoon, Jungho
2021
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### Cited by 23,337 Authors

 260 Dehghan Takht Fooladi, Mehdi 146 Simos, Theodore E. 90 Shu, Chi-Wang 83 He, Yinnian 77 Jackiewicz, Zdzislaw 75 Zhang, Chengjian 69 Abbaszadeh, Mostafa 67 Wu, Xinyuan 66 Reichel, Lothar 64 Huang, Chengming 63 Liu, Fawang 61 Li, Xiaolin 60 Chen, Yanping 59 Feng, Xinlong 59 Shi, Dongyang 59 Wang, Hong 56 Huang, Ting-Zhu 55 Luo, Zhendong 55 Xu, Da 54 Sun, Zhizhong 53 Bhrawy, Ali Hassan 51 Băleanu, Dumitru I. 51 Codina, Ramon 51 Jbilou, Khalide 51 Qiu, Jianxian 51 Weiner, Rüdiger 49 Huang, Yunqing 49 Ma, Changfeng 49 Nordström, Jan 48 He, Xiaoming 48 Wang, Wansheng 47 Dumbser, Michael 47 Xiao, Aiguo 46 D’Ambrosio, Raffaele 46 Karniadakis, George Em 45 Paternoster, Beatrice 45 Sun, Haiwei 44 Doha, Eid H. 43 Brezinski, Claude 42 Mei, Liquan 42 Siraj-ul-Islam 42 Zhang, Guofeng 41 Harbrecht, Helmut 41 Li, Hong 40 Abdi, Ali 40 Brugnano, Luigi 40 Ordokhani, Yadollah 40 Zhang, Zhimin 39 Baccouch, Mahboub 39 Sandu, Adrian 39 Turner, Ian William 38 Macías-Díaz, Jorge Eduardo 38 Praetorius, Dirk 38 Zaky, Mahmoud A. 38 Zhao, Jingjun 37 Benner, Peter 37 Jiang, Yaolin 37 Ostermann, Alexander 36 Burman, Erik 36 Ding, Xiaohua 36 Hou, Yanren 36 Li, Shoufu 36 Marcellán Español, Francisco 36 Shang, Yueqiang 35 Boyd, John Philip 35 Heydari, Mohammad Hossien 35 Huang, Pengzhan 35 Kim, Junseok 35 Vong, Seakweng 34 Burrage, Kevin 34 Fang, Yonglei 34 Yang, Xiaofeng 33 Cao, Yang 33 You, Xiong 33 Zhang, Shangyou 32 Hojjati, Gholamreza 32 Khojasteh Salkuyeh, Davod 32 Li, Jian 32 Liu, Yang 32 Natesan, Srinivasan 32 Shivanian, Elyas 32 Wen, Liping 32 Wohlmuth, Barbara I. 32 Xu, Yang 31 Amat, Sergio P. 31 Avazzadeh, Zakieh 31 Gan, Siqing 31 Guo, Ben-Yu 31 Hesthaven, Jan S. 31 Li, Zi-Cai 31 Mohebbi, Akbar 30 Abbasbandy, Saeid 30 Badia, Santiago 30 Gander, Martin Jakob 30 Huang, Weizhang 30 Rui, Hongxing 30 Ruiz-Baier, Ricardo 30 Tsynkov, Semyon V. 30 Turkel, Eli L. 30 Wang, Bin ...and 23,237 more Authors
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 1,828 Journal of Computational and Applied Mathematics 1,796 Applied Numerical Mathematics 1,708 Journal of Computational Physics 1,333 Applied Mathematics and Computation 996 Computers & Mathematics with Applications 872 Computer Methods in Applied Mechanics and Engineering 855 Journal of Scientific Computing 639 Numerical Algorithms 467 International Journal of Computer Mathematics 407 SIAM Journal on Scientific Computing 382 Computers and Fluids 348 Engineering Analysis with Boundary Elements 336 Numerische Mathematik 301 Computational and Applied Mathematics 298 Mathematics and Computers in Simulation 284 Mathematics of Computation 271 BIT 258 Applied Mathematical Modelling 226 Numerical Methods for Partial Differential Equations 225 Applied Mathematics Letters 209 SIAM Journal on Numerical Analysis 200 Advances in Computational Mathematics 200 Advances in Difference Equations 187 International Journal for Numerical Methods in Engineering 180 Journal of Mathematical Analysis and Applications 175 Journal of Mathematical Chemistry 172 Mathematical Problems in Engineering 160 Communications in Nonlinear Science and Numerical Simulation 144 Linear Algebra and its Applications 139 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 138 Abstract and Applied Analysis 126 Journal of Fluid Mechanics 125 Advances in Applied Mathematics and Mechanics 124 Calcolo 123 Journal of Applied Mathematics and Computing 117 International Journal of Applied and Computational Mathematics 113 Numerical Linear Algebra with Applications 112 Computational Mechanics 109 Chaos, Solitons and Fractals 107 Communications in Computational Physics 99 International Journal for Numerical Methods in Fluids 98 Mathematical and Computer Modelling 97 Mathematical Methods in the Applied Sciences 92 Computer Physics Communications 87 Numerical Functional Analysis and Optimization 86 Applicable Analysis 84 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 82 International Journal of Computational Methods 74 Journal of Applied Mathematics 73 East Asian Journal on Applied Mathematics 67 Computing 66 Inverse Problems in Science and Engineering 66 AIMS Mathematics 64 Computational Geosciences 62 Computational Methods in Applied Mathematics 60 Computational Optimization and Applications 60 Journal of Difference Equations and Applications 60 International Journal of Numerical Analysis and Modeling 58 Journal of Optimization Theory and Applications 58 Physics of Fluids 57 Discrete and Continuous Dynamical Systems. Series B 55 SIAM Journal on Matrix Analysis and Applications 54 Physica D 54 Computational Mathematics and Mathematical Physics 54 Mediterranean Journal of Mathematics 53 Nonlinear Dynamics 52 Japan Journal of Industrial and Applied Mathematics 52 Boundary Value Problems 51 Communications on Applied Mathematics and Computation 49 Inverse Problems 49 International Journal of Computational Fluid Dynamics 48 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 47 Journal of Inequalities and Applications 46 Wave Motion 46 Journal of Approximation Theory 45 ETNA. Electronic Transactions on Numerical Analysis 43 Journal of Inverse and Ill-Posed Problems 42 Nonlinear Analysis. Real World Applications 41 Science China. Mathematics 40 Journal of Function Spaces 39 Acta Mathematicae Applicatae Sinica. English Series 39 Discrete and Continuous Dynamical Systems. Series S 38 Journal of Differential Equations 38 Applied Mathematics and Mechanics. (English Edition) 38 Foundations of Computational Mathematics 37 Acta Mechanica 37 Journal of Integral Equations and Applications 37 Optimization Methods & Software 37 Combustion Theory and Modelling 37 Archives of Computational Methods in Engineering 37 Advances in Mathematical Physics 36 Communications in Numerical Methods in Engineering 36 International Journal of Numerical Methods for Heat & Fluid Flow 36 Discrete Dynamics in Nature and Society 36 Mathematical Modelling and Analysis 35 Computing and Visualization in Science 35 Fractional Calculus & Applied Analysis 34 Journal of Engineering Mathematics 34 Journal of Global Optimization 34 SIAM Journal on Applied Mathematics ...and 639 more Journals
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