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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: Journal; Indexed cover-to-cover
Documents Indexed: 4,543 Publications (since 1985)
References Indexed: 4,233 Publications with 118,231 References.
all top 5

Authors

40 Dehghan Takht Fooladi, Mehdi
33 Jackiewicz, Zdzislaw
28 Butcher, John C.
28 Weiner, Rüdiger
25 Reichel, Lothar
20 van der Houwen, Pieter J.
19 Sommeijer, Ben P.
19 Verwer, Jan G.
18 Brezinski, Claude
16 Abdi, Ali
15 Băleanu, Dumitru I.
15 Brugnano, Luigi
15 Zaky, Mahmoud A.
15 Zhang, Chengjian
14 Baccouch, Mahboub
14 Flaherty, Joseph E.
14 Paternoster, Beatrice
14 Shi, Dongyang
13 Abbaszadeh, Mostafa
13 Burrage, Kevin
13 D’Ambrosio, Raffaele
13 Hojjati, Gholamreza
13 Li, Zi-Cai
13 Schmitt, Bernhard A.
13 Turkel, Eli L.
12 Hendy, Ahmed S.
12 Oosterlee, Cornelis Willebrordus
12 Ostermann, Alexander
11 Ferreira, José Augusto
11 Jbilou, Khalide
11 Redivo-Zaglia, Michela
10 Blanes, Sergio
10 Boyd, John Philip
10 Chen, Yanping
10 González-Vera, Pablo
10 Günther, Michael
10 in ’t Hout, Karel J.
10 Jorge, Juan Carlos
10 Lima, Pedro Miguel
10 Mei, Liquan
10 Nordström, Jan
10 O’Riordan, Eugene
10 Petzold, Linda Ruth
10 Podhaisky, Helmut
10 Shampine, Lawrence Fred
10 Stephan, Ernst Peter
10 Trigiante, Donato
10 Wu, Xinyuan
9 Bai, Zhongzhi
9 Berzins, Martin
9 Guo, Ben-Yu
9 Huang, Hung-Tsai
9 Hundsdorfer, Willem H.
9 Jimack, Peter K.
9 Li, Xiaoli
9 Macías-Díaz, Jorge Eduardo
9 Mikula, Karol
9 Roul, Pradip
9 Shen, Jie
9 Shu, Chi-Wang
9 Stynes, Martin Joseph
9 Tsynkov, Semyon V.
9 Wang, Yuanming
9 Zhu, Peng
8 Baker, Christopher Thomas Hale
8 Brunner, Hermann
8 Calvo, M. P.
8 Cano, Begoña
8 Cao, Zhihao
8 Chacón Rebollo, Tomás
8 Copetti, Maria Inês M.
8 Feldstein, Alan
8 Fernández, Jose Ramon
8 González-Pinto, Severiano
8 He, Yinnian
8 Huang, Chengming
8 Huang, Jin
8 Huang, Yunqing
8 Jung, Jae-Hun
8 Liang, Dong
8 Mazzia, Francesca
8 Meister, Andreas
8 Pulch, Roland
8 Sanz-Serna, Jesús María
8 Spijker, Marc N.
8 Spitaleri, Rosa Maria
8 Strehmel, Karl
8 Van Daele, Marnix
8 Vanden Berghe, Guido
8 Vuik, Cornelis
8 Weinmüller, Ewa B.
8 Xiao, Aiguo
8 Zennaro, Marino
8 Zhang, Shangyou
8 Zhao, Jingjun
7 Alonso-Mallo, Isaías
7 Biswas, Rupak
7 Bürger, Raimund
7 Casas, Fernando
7 Chen, Jinru
...and 5,943 more Authors
all top 5

Fields

3,904 Numerical analysis (65-XX)
1,520 Partial differential equations (35-XX)
696 Fluid mechanics (76-XX)
639 Ordinary differential equations (34-XX)
254 Integral equations (45-XX)
194 Mechanics of deformable solids (74-XX)
169 Approximations and expansions (41-XX)
157 Operations research, mathematical programming (90-XX)
147 Probability theory and stochastic processes (60-XX)
133 Optics, electromagnetic theory (78-XX)
119 Biology and other natural sciences (92-XX)
117 Calculus of variations and optimal control; optimization (49-XX)
110 Real functions (26-XX)
102 Dynamical systems and ergodic theory (37-XX)
97 Linear and multilinear algebra; matrix theory (15-XX)
73 Special functions (33-XX)
71 Classical thermodynamics, heat transfer (80-XX)
67 Geophysics (86-XX)
62 Statistical mechanics, structure of matter (82-XX)
61 General and overarching topics; collections (00-XX)
61 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
55 Harmonic analysis on Euclidean spaces (42-XX)
48 Operator theory (47-XX)
44 Mechanics of particles and systems (70-XX)
44 Information and communication theory, circuits (94-XX)
43 Computer science (68-XX)
36 Functions of a complex variable (30-XX)
34 Systems theory; control (93-XX)
28 Quantum theory (81-XX)
25 Integral transforms, operational calculus (44-XX)
24 Sequences, series, summability (40-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 Functional analysis (46-XX)
7 Differential geometry (53-XX)
6 Combinatorics (05-XX)
6 Field theory and polynomials (12-XX)
6 Global analysis, analysis on manifolds (58-XX)
5 Astronomy and astrophysics (85-XX)
4 Relativity and gravitational theory (83-XX)
3 Topological groups, Lie groups (22-XX)
1 Commutative algebra (13-XX)
1 Measure and integration (28-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Convex and discrete geometry (52-XX)
1 Algebraic topology (55-XX)

Publications by Year

Citations contained in zbMATH Open

3,798 Publications have been cited 43,252 times in 29,411 Documents Cited by Year
A fully discrete difference scheme for a diffusion-wave system. Zbl 1094.65083
Sun, Zhi-Zhong; Wu, Xiaonan
691
2006
Finite difference approximations for two-sided space-fractional partial differential equations. Zbl 1086.65087
Meerschaert, Mark M.; Tadjeran, Charles
496
2006
Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations. Zbl 0896.65061
Ascher, Uri M.; Ruuth, Steven J.; Spiteri, Raymond J.
466
1997
Additive Runge-Kutta schemes for convection-diffusion-reaction equations. Zbl 1013.65103
Kennedy, Christopher A.; Carpenter, Mark H.
297
2003
Strong contractivity properties of numerical methods for ordinary and delay differential equations. Zbl 0749.65042
Bellen, A.; Zennaro, M.
281
1992
Numerical solution of problems on unbounded domains. A review. Zbl 0939.76077
Tsynkov, Semyon V.
281
1998
Mathematical and numerical models for coupling surface and groundwater flows. Zbl 1023.76048
Discacciati, Marco; Miglio, Edie; Quarteroni, Alfio
240
2002
BoomerAMG: A parallel algebraic multigrid solver and preconditioner. Zbl 0995.65128
Henson, Van Emden; Meier Yang, Ulrike
216
2002
Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method. Zbl 1316.65099
Burman, Erik; Hansbo, Peter
209
2012
Parallel, adaptive finite element methods for conservation laws. Zbl 0826.65084
Biswas, Rupak; Devine, Karen D.; Flaherty, Joseph E.
201
1994
Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws. Zbl 1038.65096
Krivodonova, L.; Xin, J.; Remacle, J.-F.; Chevaugeon, N.; Flaherty, J. E.
195
2004
The immersed interface method using a finite element formulation. Zbl 0936.65091
Li, Zhilin
174
1998
Solving DDEs in Matlab. Zbl 0983.65079
Shampine, L. F.; Thompson, S.
173
2001
Low-storage, explicit Runge-Kutta schemes for the compressible Navier-Stokes equations. Zbl 0986.76060
Kennedy, Christopher A.; Carpenter, Mark H.; Lewis, R. Michael
139
2000
On large time-stepping methods for the Cahn-Hilliard equation. Zbl 1118.65109
He, Yinnian; Liu, Yunxian; Tang, Tao
135
2007
Absorbing PML boundary layers for wave-like equations. Zbl 0933.35188
Turkel, E.; Yefet, A.
133
1998
Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems. Zbl 1012.65136
Bai, Zhaojun
132
2002
Global FOM and GMRES algorithms for matrix equations. Zbl 0935.65024
Jbilou, K.; Messaoudi, A.; Sadok, H.
131
1999
A finite difference scheme for partial integro-differential equations with a weakly singular kernel. Zbl 0768.65093
Tang, Tao
129
1993
Optimization as a function of the phase-lag order of nonlinear explicit two-step \(P\)-stable method for linear periodic IVPs. Zbl 1169.65324
Stavroyiannis, S.; Simos, T. E.
125
2009
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
117
2010
On a class of preconditioners for solving the Helmholtz equation. Zbl 1051.65101
Erlangga, Y. A.; Vuik, C.; Oosterlee, C. W.
114
2004
Some results on uniformly high-order accurate essentially nonoscillatory schemes. Zbl 0627.65101
Harten, Ami; Osher, Stanley; Engquist, Björn; Chakravarthy, Sukumar R.
112
1986
A cut finite element method for a Stokes interface problem. Zbl 1299.76136
Hansbo, Peter; Larson, Mats G.; Zahedi, Sara
109
2014
A modified quasi-boundary value method for an inverse source problem of the time-fractional diffusion equation. Zbl 1282.65141
Wei, Ting; Wang, Jungang
107
2014
Restoring particle consistency in smoothed particle hydrodynamics. Zbl 1329.76285
Liu, M. B.; Liu, G. R.
105
2006
A weighted finite difference method for the fractional diffusion equation based on the Riemann-Liouville derivative. Zbl 1326.65111
Sousa, Ercília; Li, Can
101
2015
New methods for oscillatory systems based on ARKN methods. Zbl 1096.65068
Franco, J. M.
100
2006
A stabilized finite element method based on local polynomial pressure projection for the stationary Navier-Stokes equations. Zbl 1155.35406
He, Yinnian; Li, Jian
100
2008
An algebraic theory for primal and dual substructuring methods by constraints. Zbl 1076.65100
Mandel, Jan; Dohrmann, Clark R.; Tezaur, Radek
97
2005
Runge-Kutta(-Nyström) methods for ODEs with periodic solutions based on trigonometric polynomials. Zbl 0927.65097
Paternoster, B.
97
1998
A meshless based method for solution of integral equations. Zbl 1202.65174
Mirzaei, Davoud; Dehghan, Mehdi
96
2010
Efficient techniques for the second-order parabolic equation subject to nonlocal specifications. Zbl 1063.65079
Dehghan, Mehdi
95
2005
The midpoint upwind scheme. Zbl 0877.65055
Stynes, Martin; Roos, Hans-Görg
94
1997
Exponential Runge-Kutta methods for parabolic problems. Zbl 1070.65099
Hochbruck, Marlis; Ostermann, Alexander
93
2005
Linearly implicit Runge-Kutta methods for advection-reaction-diffusion equations. Zbl 0983.65106
Calvo, M. P.; de Frutos, J.; Novo, J.
93
2001
An improved collocation method for multi-dimensional space-time variable-order fractional Schrödinger equations. Zbl 1353.65106
Bhrawy, A. H.; Zaky, M. A.
93
2017
High strong order explicit Runge-Kutta methods for stochastic ordinary differential equations. Zbl 0868.65101
Burrage, K.; Burrage, P. M.
92
1996
Review of preconditioning methods for fluid dynamics. Zbl 0770.76048
Turkel, E.
92
1993
Several new numerical methods for compressible shear-layer simulations. Zbl 0804.76062
Kennedy, Christopher A.; Carpenter, Mark H.
88
1994
A comparative study of sparse approximate inverse preconditioners. Zbl 0949.65043
Benzi, Michele; Tuma, Miroslav
88
1999
Fourth-order alternating direction implicit compact finite difference schemes for two-dimensional Schrödinger equations. Zbl 1221.65220
Gao, Zhen; Xie, Shusen
88
2011
Chebyshev tau-QZ algorithm methods for calculating spectra of hydrodynamic stability problems. Zbl 0867.76025
Dongarra, J. J.; Straughan, B.; Walker, D. W.
88
1996
High order Runge-Kutta methods on manifolds. Zbl 0934.65077
Munthe-Kaas, Hans
87
1999
On the stability of implicit-explicit linear multistep methods. Zbl 0887.65094
Frank, J.; Hundsdorfer, W.; Verwer, J. G.
85
1997
Analysis of a stabilized finite element approximation of the Oseen equations using orthogonal subscales. Zbl 1144.76029
Codina, Ramon
83
2008
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
82
2009
Discrete multi-resolution analysis and generalized wavelets. Zbl 0777.65004
Harten, Ami
81
1993
Diagonally-implicit multi-stage integration methods. Zbl 0773.65046
Butcher, J. C.
78
1993
Block triangular preconditioners for symmetric saddle-point problems. Zbl 1053.65033
Simoncini, V.
78
2004
A study of orthonormal multi-wavelets. Zbl 0877.65098
Chui, Charles K.; Lian, Jian-ao
77
1996
Discontinuous Galerkin methods for coupled flow and reactive transport problems. Zbl 1079.76584
Sun, Shuyu; Wheeler, Mary F.
77
2005
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
77
2009
Adaptive radial basis function methods for time dependent partial differential equations. Zbl 1069.65109
Sarra, Scott A.
76
2005
A formulation of asymptotic and exact boundary conditions using local operators. Zbl 0924.35167
Hagstrom, Thomas; Hariharan, S. I.
76
1998
Multisymplectic box schemes and the Korteweg-de Vries equation. Zbl 1038.65138
Ascher, Uri M.; McLachlan, Robert I.
75
2004
A class of discontinuous Petrov-Galerkin methods. III: Adaptivity. Zbl 1316.76047
Demkowicz, Leszek; Gopalakrishnan, Jay; Niemi, Antti H.
75
2012
Efficient spectral-Galerkin algorithms for direct solution of fourth-order differential equations using Jacobi polynomials. Zbl 1152.65112
Doha, Eid H.; Bhrawy, Ali H.
75
2008
Geometrical image segmentation by the Allen-Cahn equation. Zbl 1055.94502
Beneš, Michal; Chalupecký, Vladimír; Mikula, Karol
74
2004
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.
73
1996
Efficient and accurate spectral method using generalized Jacobi functions for solving Riesz fractional differential equations. Zbl 1382.65222
Mao, Zhiping; Chen, Sheng; Shen, Jie
73
2016
Numerical valuation of options with jumps in the underlying. Zbl 1117.91028
Almendral, Ariel; Oosterlee, Cornelis W.
72
2005
A trigonometrically fitted explicit Numerov-type method for second-order initial value problems with oscillating solutions. Zbl 1136.65068
Fang, Yonglei; Wu, Xinyuan
71
2008
Finite volume methods, unstructured meshes and strict stability for hyperbolic problems. Zbl 1019.65066
Nordström, Jan; Forsberg, Karl; Adamsson, Carl; Eliasson, Peter
66
2003
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
66
2013
Error estimates for the moving least-square approximation and the element-free Galerkin method in \(n\)-dimensional spaces. Zbl 1329.65274
Li, Xiaolin
66
2016
A dimensional split preconditioner for Stokes and linearized Navier-Stokes equations. Zbl 1302.65074
Benzi, Michele; Guo, Xue-Ping
65
2011
Convergence analysis of finite difference approximations on equidistributed grids to a singularly perturbed boundary value problem. Zbl 0963.65086
Beckett, G.; Mackenzie, J. A.
65
2000
Meshless Galerkin algorithms for boundary integral equations with moving least square approximations. Zbl 1232.65160
Li, Xiaolin
63
2011
On the rotation and skew-symmetric forms for incompressible flow simulations. Zbl 0708.76071
Zang, Thomas A.
63
1991
A moving least square reproducing polynomial meshless method. Zbl 1284.65137
Salehi, Rezvan; Dehghan, Mehdi
62
2013
Optimal implicit strong stability preserving Runge-Kutta methods. Zbl 1157.65046
Ketcheson, David I.; Macdonald, Colin B.; Gottlieb, Sigal
62
2009
A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations. Zbl 1123.65040
An, Heng-Bin; Bai, Zhong-Zhi
60
2007
Fourierization of the Legendre-Galerkin method and a new space-time spectral method. Zbl 1118.65111
Shen, Jie; Wang, Li-Lian
60
2007
Preconditioners for saddle point problems arising in computational fluid dynamics. Zbl 1168.76348
Elman, Howard C.
60
2002
On the numerical inversion of the Laplace transform of certain holomorphic mappings. Zbl 1059.65120
López-Fernández, M.; Palencia, C.
60
2004
Direct meshless local Petrov-Galerkin (DMLPG) method: A generalized MLS approximation. Zbl 1263.65118
Mirzaei, Davoud; Schaback, Robert
60
2013
Generalized Jacobi polynomials/functions and their applications. Zbl 1171.33006
Guo, Ben-Yu; Shen, Jie; Wang, Li-Lian
59
2009
An affine scaling trust-region approach to bound-constrained nonlinear systems. Zbl 1018.65067
Bellavia, Stefania; Macconi, Maria; Morini, Benedetta
58
2003
Carleman estimates for the regularization of ill-posed Cauchy problems. Zbl 1325.65148
Klibanov, Michael V.
57
2015
On HSS-based iteration methods for weakly nonlinear systems. Zbl 1178.65047
Bai, Zhong-Zhi; Yang, Xi
56
2009
Explicit Runge-Kutta methods for parabolic partial differential equations. Zbl 0868.65064
Verwer, J. G.
56
1996
ROWMAP – a ROW-code with Krylov techniques for large stiff ODEs. Zbl 0895.65035
Weiner, R.; Schmitt, B. A.; Podhaisky, H.
55
1997
Accuracy and linear stability of RKN methods for solving second-order stiff problems. Zbl 1161.65062
Franco, J. M.; Gómez, I.
55
2009
Multistep collocation methods for Volterra integral equations. Zbl 1172.65069
Conte, D.; Paternoster, B.
55
2009
Laguerre matrix polynomials and systems of second-order differential equations. Zbl 0821.34010
Jódar, L.; Company, R.; Navarro, E.
54
1994
A nonstandard finite-difference scheme for the Lotka–Volterra system. Zbl 1025.65047
Mickens, Ronald E.
54
2003
On the low-rank approximation by the pivoted Cholesky decomposition. Zbl 1244.65042
Harbrecht, Helmut; Peters, Michael; Schneider, Reinhold
54
2012
Error estimates for the finite point method. Zbl 1145.65086
Cheng, Rongjun; Cheng, Yumin
54
2008
Positive stable block triangular preconditioners for symmetric saddle point problems. Zbl 1118.65021
Cao, Zhi-Hao
53
2007
ADI schemes for higher-order nonlinear diffusion equations. Zbl 1061.76051
Witelski, T. P.; Bowen, M.
53
2003
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.
53
2014
Adjoint operators for the natural discretizations of the divergence, gradient and curl on logically rectangular grids. Zbl 1005.65024
Hyman, James M.; Shashkov, Mikhail
53
1997
Quasi-orthogonality with applications to some families of classical orthogonal polynomials. Zbl 1047.33002
Brezinski, C.; Driver, K. A.; Redivo-Zaglia, M.
52
2004
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.
52
2009
Regularized linear schemes for the molecular beam epitaxy model with slope selection. Zbl 1486.65191
Chen, Lizhen; Zhao, Jia; Yang, Xiaofeng
52
2018
Overlapping domain decomposition method by radial basis functions. Zbl 1013.65134
Zhou, X.; Hon, Y. C.; Li, Jichun
51
2003
Exponentially-fitted Obrechkoff methods for second-order differential equations. Zbl 1166.65352
Vanden Berghe, G.; Van Daele, M.
51
2009
A minimum entropy principle in the gas dynamics equations. Zbl 0625.76084
Tadmor, Eitan
50
1986
Semi-implicit projection methods for incompressible flow based on spectral deferred corrections. Zbl 1035.76040
Minion, Michael L.
50
2004
A localized meshless technique for solving 2D nonlinear integro-differential equation with multi-term kernels. Zbl 1500.65082
Cao, Y.; Nikan, O.; Avazzadeh, Z.
7
2023
A second-order unconditionally stable method for the anisotropic dendritic crystal growth model with an orientation-field. Zbl 1505.65257
Li, Yibao; Qin, Kang; Xia, Qing; Kim, Junseok
6
2023
A second order fractional step hybrid numerical algorithm for time delayed singularly perturbed 2D convection-diffusion problems. Zbl 07705793
Priyadarshana, S.; Mohapatra, J.; Pattanaik, S. R.
5
2023
Pointwise error analysis of the BDF3 compact finite difference scheme for viscous Burgers’ equations. Zbl 07699009
Guo, Tao; Zaky, Mahmoud A.; Hendy, Ahmed S.; Qiu, Wenlin
3
2023
An all Froude high order IMEX scheme for the shallow water equations on unstructured Voronoi meshes. Zbl 07699012
Boscheri, Walter; Tavelli, Maurizio; Castro, Cristóbal E.
3
2023
A long term analysis of stochastic theta methods for mean reverting linear process with jumps. Zbl 07699022
D’Ambrosio, Raffaele; Moradi, Afsaneh; Scalone, Carmela
3
2023
Temporal high-order, unconditionally maximum-principle-preserving integrating factor multi-step methods for Allen-Cahn-type parabolic equations. Zbl 07699028
Zhang, Hong; Yan, Jingye; Qian, Xu; Song, Songhe
3
2023
Variable-time-step BDF2 nonconforming VEM for coupled Ginzburg-Landau equations. Zbl 07699047
Li, Meng; Wang, Lingli; Wang, Nan
3
2023
Tamed Euler-Maruyama approximation of McKean-Vlasov stochastic differential equations with super-linear drift and Hölder diffusion coefficients. Zbl 1524.65034
Liu, Huagui; Shi, Banban; Wu, Fuke
3
2023
Efficient dissipation-preserving approaches for the damped nonlinear Schrödinger equation. Zbl 1500.65081
Cai, Jiaxiang; Chen, Juan
3
2023
Implicit and semi-implicit well-balanced finite-volume methods for systems of balance laws. Zbl 1506.65135
Gómez-Bueno, I.; Boscarino, S.; Castro, M. J.; Parés, C.; Russo, G.
3
2023
On the improvement of the triangular Shepard method by non conformal polynomial elements. Zbl 07630344
Dell’Accio, Francesco; Di Tommaso, Filomena; Guessab, Allal; Nudo, Federico
3
2023
A fitted numerical method for a singularly perturbed Fredholm integro-differential equation with discontinuous source term. Zbl 1522.65132
Rathore, Ajay Singh; Shanthi, Vembu; Ramos, Higinio
2
2023
A linear Galerkin numerical method for a quasilinear subdiffusion equation. Zbl 07699006
Płociniczak, Łukasz
2
2023
Transmission dynamics and sensitivity analysis of pine wilt disease with asymptomatic carriers via fractal-fractional differential operator of Mittag-Leffler kernel. Zbl 1519.92232
Ahmad, Zubair; Bonanomi, Giuliano; di Serafino, Daniela; Giannino, Francesco
2
2023
Unconditional superconvergence analysis of nonconforming \(EQ_1^{rot}\) finite element method for the nonlinear coupled predator-prey equations. Zbl 07699025
Zhang, Sihui; Shi, Xiangyu; Shi, Dongyang
2
2023
On convergence rates of Kaczmarz-type methods with different selection rules of working rows. Zbl 07699043
Bai, Zhong-Zhi; Wang, Lu
2
2023
A unified enrichment approach of the standard three-node triangular element. Zbl 1528.65068
Dell’Accio, Francesco; Di Tommaso, Filomena; Guessab, Allal; Nudo, Federico
2
2023
High-order, unconditionally maximum-principle preserving finite element method for the Allen-Cahn equation. Zbl 07705779
Yang, Jun; Yi, Nianyu; Zhang, Hong
2
2023
On the fractional Laplacian of some positive definite kernels with applications in numerically solving the surface quasi-geostrophic equation as a prominent fractional calculus model. Zbl 07705781
Mohebalizadeh, Hamed; Adibi, Hojatollah; Dehghan, Mehdi
2
2023
An adaptive time-stepping DLN decoupled algorithm for the coupled Stokes-Darcy model. Zbl 1517.76049
Qin, Yi; Chen, Lele; Wang, Yang; Li, Yi; Li, Jian
2
2023
Discontinuous Galerkin method for the diffusive-viscous wave equation. Zbl 1500.65077
Zhang, Min; Yan, Wenjing; Jing, Feifei; Zhao, Haixia
2
2023
A general vertical decomposition of Euler equations: multilayer-moment models. Zbl 1504.35252
Garres-Díaz, J.; Escalante, C.; Morales de Luna, T.; Castro Díaz, M. J.
2
2023
A splitting uniformly convergent method for one-dimensional parabolic singularly perturbed convection-diffusion systems. Zbl 07603743
Clavero, C.; Jorge, J. C.
2
2023
Projection methods for approximate solution of a class of nonlinear Fredholm integro-differential equations. Zbl 07630323
Mandal, Moumita; Kayal, Arnab; Nelakanti, Gnaneshwar
2
2023
On a chemotaxis-Navier-Stokes system with Lotka-Volterra competitive kinetics: theoretical and numerical analysis. Zbl 1503.35235
Beltrán-Larrotta, Carlos M.; Rueda-Gómez, Diego A.; Villamizar-Roa, Élder J.
2
2023
Recovery of a potential coefficient in a pseudoparabolic system from nonlocal observation. Zbl 1504.35644
Fu, Jun-Liang; Liu, Jijun
2
2023
The backward Euler-Maruyama method for invariant measures of stochastic differential equations with super-linear coefficients. Zbl 07630327
Liu, Wei; Mao, Xuerong; Wu, Yue
2
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High order numerical methods for flows with hysteretic fluxes. Zbl 1506.65121
Fan, Haitao; Shu, Chi-Wang
2
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Strong 1.5 order scheme for second-order stochastic differential equations without Levy area. Zbl 1512.65016
Liu, Yufen; Cao, Wanrong; Zhang, Zhongqiang
2
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Fast parallel-in-time quasi-boundary value methods for backward heat conduction problems. Zbl 1510.65229
Jiang, Yi; Liu, Jun
2
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Persistence of dynamic consistency of nonstandard numerical schemes for the Fisher-KPP equation. Zbl 07698997
Clemence-Mkhope, D. P.; Mabuza, S.; Rivas, M. A.
1
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High-order compact finite difference schemes for solving the regularized long-wave equation. Zbl 07699004
Yang, Xiaojia; Zhang, Lin; Ge, Yongbin
1
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A discrete collocation method based on the radial basis functions for solving system of integral equations of the second kind. Zbl 07699010
Molabahrami, Ahmad; Khouider, Boualem; Jalalian, Mohsen
1
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Numerical algorithm for a generalized form of Schnakenberg reaction-diffusion model with gene expression time delay. Zbl 07699011
Omran, A. K.; Zaky, M. A.; Hendy, A. S.; Pimenov, V. G.
1
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Unified discontinuous Galerkin finite element methods for second order Dirichlet boundary control problem. Zbl 07699013
Garg, Divay; Porwal, Kamana
1
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On a certified VMS-Smagorinsky reduced basis model with LPS pressure stabilisation. Zbl 07699014
Chacón Rebollo, Tomás; Delgado Ávila, Enrique; Gómez Mármol, Macarena
1
2023
Analysis of a finite-volume scheme for a single-species biofilm model. Zbl 07699015
Helmer, Christoph; Jüngel, Ansgar; Zurek, Antoine
1
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Analysis of a splitting scheme for a class of nonlinear stochastic Schrödinger equations. Zbl 07699030
Bréhier, Charles-Edouard; Cohen, David
1
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Asymptotic-numerical solvers for diffusion equation with time-like highly oscillatory forcing terms. Zbl 1518.35213
Issaoui, M.; Kzaz, M.; Maach, F.
1
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Numerical analysis of a singularly perturbed convection diffusion problem with shift in space. Zbl 07699034
Brdar, Mirjana; Franz, Sebastian; Ludwig, Lars; Roos, Hans-Görg
1
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On the implementation of explicit two-step peer methods with Runge-Kutta stability. Zbl 1522.65118
Abdi, A.; Hojjati, G.; Jackiewicz, Z.; Podhaisky, H.; Sharifi, M.
1
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Two-grid virtual element discretization of semilinear elliptic problem. Zbl 07699039
Chen, Fengxin; Wang, Qiming; Zhou, Zhaojie
1
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A numerical modeling and its computational implementing simulation for generating distributions of the complicated random variable transformations with applications. Zbl 07699042
Almalki, Nawal Hassan; Elshekhipy, Abdelhafeez Ahmed; Almutairi, Ibtesam Shafi
1
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Uniformly convergent scheme for fourth-order singularly perturbed convection-diffusion ODE. Zbl 07699045
Singh, Satpal; Kumar, Devendra; Shanthi, Vembu
1
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A stabilized finite element method for the Stokes-temperature coupled problem. Zbl 07705762
Araya, Rodolfo; Cárcamo, Cristian; Poza, Abner H.
1
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High order WENO finite difference scheme with adaptive dual order ideal weights for hyperbolic conservation laws. Zbl 07705763
Tian, Kang-Bo; Don, Wai Sun; Wang, Bao-Shan
1
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High-order linearly implicit schemes conserving quadratic invariants. Zbl 07705764
Sato, Shun; Miyatake, Yuto; Butcher, John C.
1
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Sparse machine learning in Banach spaces. Zbl 07705768
Xu, Yuesheng
1
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Numerical treatment of a singularly perturbed 2-D convection-diffusion elliptic problem with Robin-type boundary conditions. Zbl 07705770
Shiromani, Ram; Shanthi, Vembu; Ramos, Higinio
1
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Space-time spectral method for the Stokes problem. Zbl 07705772
Kaur, Avleen; Lui, S. H.
1
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A two-grid spectral method to study of dynamics of dense discrete systems governed by Rosenau-Burgers’ equation. Zbl 07705774
Abbaszadeh, Mostafa; Zaky, Mahmoud A.; Hendy, Ahmed S.; Dehghan, Mehdi
1
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A posteriori error estimates of two-grid weak Galerkin methods for semilinear elliptic differential equations. Zbl 07705775
Chen, Luoping; Dai, Jiajia; Wen, Yiming
1
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Weak convergence of the backward Euler method for stochastic Cahn-Hilliard equation with additive noise. Zbl 07705777
Cai, Meng; Gan, Siqing; Hu, Yaozhong
1
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A new absorbing layer approach for solving the nonlinear Schrödinger equation. Zbl 07705792
Guo, Feng; Dai, Weizhong
1
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A second-order numerical approximation of a singularly perturbed nonlinear Fredholm integro-differential equation. Zbl 07710423
Durmaz, Muhammet Enes; Amirali, Ilhame; Mohapatra, Jugal; Amiraliyev, Gabil M.
1
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A three-operator splitting algorithm with deviations for generalized DC programming. Zbl 1527.90172
Hu, Ziyue; Dong, Qiao-Li
1
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A new meshless local integral equation method. Zbl 07763839
Hosseinzadeh, Hossein; Shirzadi, Ahmad
1
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A stabilized divergence-free virtual element scheme for the nematic liquid crystal flows. Zbl 1528.76055
Wang, Xuyang; Zou, Guang-an; Wang, Bo
1
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Local discontinuous Galerkin method for a nonlocal viscous water wave model. Zbl 1528.76024
Wang, Nian; Wang, Jinfeng; Liu, Yang; Li, Hong
1
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Improved third-order WENO scheme with a new reference smoothness indicator. Zbl 1528.65053
Wang, Yahui; Guo, Cheng
1
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Analysis of the MAC scheme for the three dimensional Stokes problem. Zbl 1528.76052
Xu, Minqiang; Liu, Kai; Zhang, Lei
1
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Effect of an efficient numerical integration technique on the element-free Galerkin method. Zbl 1528.65115
Li, Xiaolin; Li, Shuling
1
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Adaptive Hermite spectral methods in unbounded domains. Zbl 1500.65083
Chou, Tom; Shao, Sihong; Xia, Mingtao
1
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Convergence analysis of Hermite subdivision schemes of any arity. Zbl 1504.65069
Zhang, Zeze; Zheng, Hongchan; Zhou, Jie
1
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An energy-conserving finite element method for nonlinear fourth-order wave equations. Zbl 1498.65158
He, Mingyan; Tian, Jia; Sun, Pengtao; Zhang, Zhengfang
1
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An exclusive spectral computational approach based on quadratic orthoexponential polynomials for solving integro-differential equations with delays on the real line. Zbl 07630321
Kürkçü, Ömür Kıvanç
1
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Spectrally accurate numerical quadrature formulas for a class of periodic Hadamard finite part integrals by regularization. Zbl 07630329
Sidi, Avram
1
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A wavelet collocation method based on Gegenbauer scaling function for solving fourth-order time-fractional integro-differential equations with a weakly singular kernel. Zbl 1508.65140
Faheem, Mo; Khan, Arshad
1
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Maximum error estimates of two linearized compact difference schemes for two-dimensional nonlinear Sobolev equations. Zbl 1509.65079
Zhang, Jiyuan; Qin, Yifan; Zhang, Qifeng
1
2023
Improvements of the fifth-order WENO-JS-type scheme with normalized smoothing factor for gas dynamic Euler equations. Zbl 1506.65188
Tang, Shujiang
1
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Theoretical characteristics and numerical methods for a class of special piecewise quadratic optimization. Zbl 1527.90142
Jian, Jinbao; Qin, Yao; Yin, Jianghua; Ma, Guodong
1
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Krylov subspace split Bregman methods. Zbl 07630340
Alotaibi, Majed; Buccini, Alessandro; Reichel, Lothar
1
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A weak Galerkin finite element method for the Kelvin-Voigt viscoelastic fluid flow model. Zbl 1505.65261
Duan, Mengmeng; Yang, Yan; Feng, Minfu
1
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Quasi-simultaneous coupling methods for partitioned problems in computational hemodynamics. Zbl 1503.76067
Rozema, Gerk; Veldman, Arthur E. P.; Maurits, Natasha M.
1
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A maximum bound principle preserving iteration technique for a class of semilinear parabolic equations. Zbl 1505.65246
Gong, Yuezheng; Ji, Bingquan; Liao, Hong-lin
1
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A new approach for numerical solution of Kuramoto-Tsuzuki equation. Zbl 1505.65247
Labidi, Samira; Omrani, Khaled
1
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An inexact ADMM with proximal-indefinite term and larger stepsize. Zbl 1508.90061
Ma, Yuxue; Bai, Jianchao; Sun, Hao
1
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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
18
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.
14
2022
Mathematical analysis and numerical methods for Caputo-Hadamard fractional diffusion-wave equations. Zbl 1484.65187
Ou, Caixia; Cen, Dakang; Vong, Seakweng; Wang, Zhibo
14
2022
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.
12
2022
Error analysis of an implicit Galerkin meshfree scheme for general second-order parabolic problems. Zbl 1484.65237
Zhang, Tao; Li, Xiaolin; Xu, Liwei
10
2022
Energy-preserving exponential integrator Fourier pseudo-spectral schemes for the nonlinear Dirac equation. Zbl 1484.65263
Li, Jiyong
9
2022
Stable numerical schemes for time-fractional diffusion equation with generalized memory kernel. Zbl 1484.65182
Kedia, Nikki; Alikhanov, Anatoly A.; Singh, Vineet Kumar
8
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A three-term CGPM-based algorithm without Lipschitz continuity for constrained nonlinear monotone equations with applications. Zbl 1484.65109
Liu, Pengjie; Shao, Hu; Wang, Yun; Wu, Xiaoyu
8
2022
Uniform error bounds of exponential wave integrator methods for the long-time dynamics of the Dirac equation with small potentials. Zbl 1484.65248
Feng, Yue; Xu, Zhiguo; Yin, Jia
7
2022
An explicit algorithm for solving monotone variational inequalities. Zbl 1480.49016
Thong, Duong Viet; Gibali, Aviv; Vuong, Phan Tu
6
2022
Positivity preserving stochastic \(\theta\)-methods for selected SDEs. Zbl 1484.65018
Scalone, Carmela
6
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
6
2022
A new three-level fourth-order compact finite difference scheme for the extended Fisher-Kolmogorov equation. Zbl 07533816
Li, Shuguang; Xu, Da; Zhang, Jie; Sun, Chengjiao
6
2022
A uniformly accurate exponential wave integrator Fourier pseudo-spectral method with energy-preservation for long-time dynamics of the nonlinear Klein-Gordon equation. Zbl 1503.65258
Deng, Shuo; Li, Jiyong
6
2022
A stabilized fully-discrete scheme for phase field crystal equation. Zbl 1503.65193
Zhang, Fan; Li, Dongfang; Sun, Hai-Wei; Zhang, Jia-Li
6
2022
Local discontinuous Galerkin method based on a family of second-order time approximation schemes for fractional mobile/immobile convection-diffusion equations. Zbl 1503.65243
Niu, Yuxuan; Wang, Jinfeng; Liu, Yang; Li, Hong; Fang, Zhichao
6
2022
A splitting method for SDEs with locally Lipschitz drift: illustration on the FitzHugh-Nagumo model. Zbl 1491.65014
Buckwar, Evelyn; Samson, Adeline; Tamborrino, Massimiliano; Tubikanec, Irene
6
2022
Explicit methods based on barycentric rational interpolants for solving non-stiff Volterra integral equations. Zbl 1483.65208
Abdi, A.; Berrut, J.-P.; Hosseini, S. A.
6
2022
Unconditional superconvergence of the fully-discrete schemes for nonlinear prey-predator model. Zbl 1484.92005
Shi, Dongyang; Zhang, Sihui
5
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
5
2022
Communication in complex networks. Zbl 1485.90019
De la Cruz Cabrera, Omar; Jin, Jiafeng; Noschese, Silvia; Reichel, Lothar
5
2022
Efficient energy preserving Galerkin-Legendre spectral methods for fractional nonlinear Schrödinger equation with wave operator. Zbl 1484.65223
Hu, Dongdong; Cai, Wenjun; Gu, Xian-Ming; Wang, Yushun
5
2022
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289 Dehghan Takht Fooladi, Mehdi
158 Simos, Theodore E.
103 Shu, Chi-Wang
94 He, Yinnian
87 Reichel, Lothar
84 Shi, Dongyang
84 Zhang, Chengjian
83 Liu, Fawang
80 Abbaszadeh, Mostafa
80 Jackiewicz, Zdzislaw
77 Feng, Xinlong
75 Chen, Yanping
75 Wu, Xinyuan
73 Huang, Chengming
72 Xu, Da
69 Wang, Hong
68 Băleanu, Dumitru I.
68 Li, Xiaolin
64 Li, Hong
63 Dumbser, Michael
63 Huang, Yunqing
63 Zaky, Mahmoud A.
61 Jbilou, Khalide
61 Luo, Zhendong
61 Sun, Zhizhong
60 Nordström, Jan
60 Zhang, Zhimin
59 D’Ambrosio, Raffaele
59 Huang, Ting-Zhu
59 Wang, Wansheng
58 Sun, Haiwei
56 Bhrawy, Ali Hassan
56 Codina, Ramon
56 He, Xiaoming
56 Liu, Yang
56 Qiu, Jianxian
55 Kim, Junseok
54 Paternoster, Beatrice
54 Xiao, Aiguo
53 Doha, Eid H.
53 Ma, Changfeng
53 Ordokhani, Yadollah
52 Karniadakis, George Em
52 Mei, Liquan
51 Heydari, Mohammad Hossein
51 Weiner, Rüdiger
49 Abdi, Ali
49 Turner, Ian William
48 Jiang, Yaolin
48 Zhang, Shangyou
48 Zhao, Jingjun
47 Baccouch, Mahboub
47 Harbrecht, Helmut
47 Razzaghi, Mohsen
47 Shang, Yueqiang
47 Yang, Xiaofeng
46 Vong, Seakweng
45 Hendy, Ahmed S.
45 Huang, Pengzhan
45 Zhang, Guofeng
44 Avazzadeh, Zakieh
44 Brugnano, Luigi
44 Burman, Erik
44 Wang, Yushun
43 Hou, Yanren
43 Praetorius, Dirk
43 Xu, Yang
42 Brezinski, Claude
42 Hojjati, Gholamreza
42 Ostermann, Alexander
42 Siraj-ul-Islam
41 Li, Jian
40 Benner, Peter
40 Sandu, Adrian
39 Ding, Xiaohua
39 Li, Shoufu
39 Qiu, Wenlin
39 Ramos, Higinio
39 Rui, Hongxing
39 Zhang, Jiwei
38 Abbasbandy, Saeid
38 Burrage, Kevin
38 Marcellán Español, Francisco
38 Song, Songhe
37 Amat Plata, Sergio
37 Boyd, John Philip
37 Gander, Martin Jakob
37 Natesan, Srinivasan
37 Shivanian, Elyas
37 Turkel, Eli L.
37 Wohlmuth, Barbara I.
36 Fang, Yonglei
36 Khojasteh Salkuyeh, Davod
36 Li, Dongfang
36 Wang, Bin
36 Wei, Ting
36 Zhu, Jun
35 Blanes, Sergio
35 Gan, Siqing
35 Li, Meng
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