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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: Indexed cover-to-cover
Documents Indexed: 4,351 Publications (since 1985)
References Indexed: 4,041 Publications with 110,875 References.
all top 5

Authors

36 Dehghan Takht Fooladi, Mehdi
32 Jackiewicz, Zdzislaw
28 Weiner, Rüdiger
27 Butcher, John C.
23 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 Macías-Díaz, Jorge Eduardo
13 Paternoster, Beatrice
13 Schmitt, Bernhard A.
13 Turkel, Eli L.
12 Oosterlee, Cornelis Willebrordus
12 Ostermann, Alexander
12 Shi, Dongyang
11 Abbaszadeh, Mostafa
11 D’Ambrosio, Raffaele
11 Ferreira, José Augusto
11 Hojjati, Gholamreza
11 Redivo-Zaglia, Michela
10 Blanes, Sergio
10 Boyd, John Philip
10 González-Vera, Pablo
10 in ’t Hout, Karel J.
10 Jbilou, Khalide
10 Jorge, Juan Carlos
10 Mei, Liquan
10 Nordström, Jan
10 Petzold, Linda Ruth
10 Shampine, Lawrence Fred
10 Stephan, Ernst Peter
10 Trigiante, Donato
10 Wu, Xinyuan
10 Zaky, Mahmoud A.
9 Arnold, Martin
9 Bai, Zhongzhi
9 Berzins, Martin
9 Chen, Yanping
9 Günther, Michael
9 Guo, Ben-Yu
9 Huang, Hung-Tsai
9 Hundsdorfer, Willem H.
9 Jimack, Peter K.
9 Lima, Pedro Miguel
9 Mikula, Karol
9 Podhaisky, Helmut
9 Roul, Pradip
9 Shen, Jie
9 Shu, Chi-Wang
9 Stynes, Martin
9 Tsynkov, Semyon V.
9 Wang, Yuanming
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 Li, Xiaoli
8 Liang, Dong
8 Mazzia, Francesca
8 O’Riordan, Eugene
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 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 Casas, Fernando
7 Chacón Rebollo, Tomás
7 Chen, Jinru
7 Conte, Dajana
7 Dumbser, Michael
7 Ford, Neville J.
7 Forsyth, Peter A.
7 Gladwell, Ian
...and 5,674 more Authors
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Fields

3,723 Numerical analysis (65-XX)
1,455 Partial differential equations (35-XX)
665 Fluid mechanics (76-XX)
630 Ordinary differential equations (34-XX)
245 Integral equations (45-XX)
188 Mechanics of deformable solids (74-XX)
161 Approximations and expansions (41-XX)
142 Operations research, mathematical programming (90-XX)
134 Probability theory and stochastic processes (60-XX)
129 Optics, electromagnetic theory (78-XX)
114 Biology and other natural sciences (92-XX)
112 Calculus of variations and optimal control; optimization (49-XX)
110 Real functions (26-XX)
101 Dynamical systems and ergodic theory (37-XX)
91 Linear and multilinear algebra; matrix theory (15-XX)
72 Special functions (33-XX)
69 Classical thermodynamics, heat transfer (80-XX)
67 Geophysics (86-XX)
61 General and overarching topics; collections (00-XX)
59 Statistical mechanics, structure of matter (82-XX)
57 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
54 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)
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 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)

Publications by Year

Citations contained in zbMATH Open

3,508 Publications have been cited 36,346 times in 25,012 Documents Cited by Year
A fully discrete difference scheme for a diffusion-wave system. Zbl 1094.65083
Sun, Zhi-Zhong; Wu, Xiaonan
552
2006
Finite difference approximations for two-sided space-fractional partial differential equations. Zbl 1086.65087
Meerschaert, Mark M.; Tadjeran, Charles
445
2006
Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations. Zbl 0896.65061
Ascher, Uri M.; Ruuth, Steven J.; Spiteri, Raymond J.
393
1997
Additive Runge-Kutta schemes for convection-diffusion-reaction equations. Zbl 1013.65103
Kennedy, Christopher A.; Carpenter, Mark H.
259
2003
Strong contractivity properties of numerical methods for ordinary and delay differential equations. Zbl 0749.65042
Bellen, A.; Zennaro, M.
258
1992
Numerical solution of problems on unbounded domains. A review. Zbl 0939.76077
Tsynkov, Semyon V.
257
1998
Mathematical and numerical models for coupling surface and groundwater flows. Zbl 1023.76048
Discacciati, Marco; Miglio, Edie; Quarteroni, Alfio
214
2002
Parallel, adaptive finite element methods for conservation laws. Zbl 0826.65084
Biswas, Rupak; Devine, Karen D.; Flaherty, Joseph E.
186
1994
BoomerAMG: A parallel algebraic multigrid solver and preconditioner. Zbl 0995.65128
Henson, Van Emden; Meier Yang, Ulrike
182
2002
Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method. Zbl 1316.65099
Burman, Erik; Hansbo, Peter
171
2012
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.
161
2004
Solving DDEs in Matlab. Zbl 0983.65079
Shampine, L. F.; Thompson, S.
157
2001
The immersed interface method using a finite element formulation. Zbl 0936.65091
Li, Zhilin
142
1998
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
Absorbing PML boundary layers for wave-like equations. Zbl 0933.35188
Turkel, E.; Yefet, A.
123
1998
Low-storage, explicit Runge-Kutta schemes for the compressible Navier-Stokes equations. Zbl 0986.76060
Kennedy, Christopher A.; Carpenter, Mark H.; Lewis, R. Michael
120
2000
Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems. Zbl 1012.65136
Bai, Zhaojun
116
2002
Global FOM and GMRES algorithms for matrix equations. Zbl 0935.65024
Jbilou, K.; Messaoudi, A.; Sadok, H.
113
1999
A finite difference scheme for partial integro-differential equations with a weakly singular kernel. Zbl 0768.65093
Tang, Tao
110
1993
On large time-stepping methods for the Cahn-Hilliard equation. Zbl 1118.65109
He, Yinnian; Liu, Yunxian; Tang, Tao
110
2007
On a class of preconditioners for solving the Helmholtz equation. Zbl 1051.65101
Erlangga, Y. A.; Vuik, C.; Oosterlee, C. W.
103
2004
Some results on uniformly high-order accurate essentially nonoscillatory schemes. Zbl 0627.65101
Harten, Ami; Osher, Stanley; Engquist, Björn; Chakravarthy, Sukumar R.
94
1986
Efficient techniques for the second-order parabolic equation subject to nonlocal specifications. Zbl 1063.65079
Dehghan, Mehdi
91
2005
Restoring particle consistency in smoothed particle hydrodynamics. Zbl 1329.76285
Liu, M. B.; Liu, G. R.
90
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
90
2008
A weighted finite difference method for the fractional diffusion equation based on the Riemann-Liouville derivative. Zbl 1326.65111
Sousa, Ercília; Li, Can
90
2015
New methods for oscillatory systems based on ARKN methods. Zbl 1096.65068
Franco, J. M.
88
2006
Runge-Kutta(-Nyström) methods for ODEs with periodic solutions based on trigonometric polynomials. Zbl 0927.65097
Paternoster, B.
87
1998
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
87
2010
A meshless based method for solution of integral equations. Zbl 1202.65174
Mirzaei, Davoud; Dehghan, Mehdi
87
2010
An algebraic theory for primal and dual substructuring methods by constraints. Zbl 1076.65100
Mandel, Jan; Dohrmann, Clark R.; Tezaur, Radek
86
2005
Several new numerical methods for compressible shear-layer simulations. Zbl 0804.76062
Kennedy, Christopher A.; Carpenter, Mark H.
86
1994
Chebyshev tau-QZ algorithm methods for calculating spectra of hydrodynamic stability problems. Zbl 0867.76025
Dongarra, J. J.; Straughan, B.; Walker, D. W.
85
1996
High strong order explicit Runge-Kutta methods for stochastic ordinary differential equations. Zbl 0868.65101
Burrage, K.; Burrage, P. M.
85
1996
Review of preconditioning methods for fluid dynamics. Zbl 0770.76048
Turkel, E.
84
1993
A cut finite element method for a Stokes interface problem. Zbl 1299.76136
Hansbo, Peter; Larson, Mats G.; Zahedi, Sara
83
2014
The midpoint upwind scheme. Zbl 0877.65055
Stynes, Martin; Roos, Hans-Görg
83
1997
A comparative study of sparse approximate inverse preconditioners. Zbl 0949.65043
Benzi, Michele; Tuma, Miroslav
82
1999
An improved collocation method for multi-dimensional space-time variable-order fractional Schrödinger equations. Zbl 1353.65106
Bhrawy, A. H.; Zaky, M. A.
82
2017
A modified quasi-boundary value method for an inverse source problem of the time-fractional diffusion equation. Zbl 1282.65141
Wei, Ting; Wang, Jungang
81
2014
Linearly implicit Runge-Kutta methods for advection-reaction-diffusion equations. Zbl 0983.65106
Calvo, M. P.; de Frutos, J.; Novo, J.
79
2001
On the stability of implicit-explicit linear multistep methods. Zbl 0887.65094
Frank, J.; Hundsdorfer, W.; Verwer, J. G.
78
1997
Exponential Runge-Kutta methods for parabolic problems. Zbl 1070.65099
Hochbruck, Marlis; Ostermann, Alexander
78
2005
High order Runge-Kutta methods on manifolds. Zbl 0934.65077
Munthe-Kaas, Hans
75
1999
Diagonally-implicit multi-stage integration methods. Zbl 0773.65046
Butcher, J. C.
75
1993
A study of orthonormal multi-wavelets. Zbl 0877.65098
Chui, Charles K.; Lian, Jian-ao
75
1996
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
75
2009
Fourth-order alternating direction implicit compact finite difference schemes for two-dimensional Schrödinger equations. Zbl 1221.65220
Gao, Zhen; Xie, Shusen
74
2011
Block triangular preconditioners for symmetric saddle-point problems. Zbl 1053.65033
Simoncini, V.
73
2004
A formulation of asymptotic and exact boundary conditions using local operators. Zbl 0924.35167
Hagstrom, Thomas; Hariharan, S. I.
72
1998
Adaptive radial basis function methods for time dependent partial differential equations. Zbl 1069.65109
Sarra, Scott A.
72
2005
Discontinuous Galerkin methods for coupled flow and reactive transport problems. Zbl 1079.76584
Sun, Shuyu; Wheeler, Mary F.
70
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.
69
2008
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.
68
1996
Analysis of a stabilized finite element approximation of the Oseen equations using orthogonal subscales. Zbl 1144.76029
Codina, Ramon
68
2008
Multisymplectic box schemes and the Korteweg-de Vries equation. Zbl 1038.65138
Ascher, Uri M.; McLachlan, Robert I.
66
2004
Discrete multi-resolution analysis and generalized wavelets. Zbl 0777.65004
Harten, Ami
65
1993
Numerical valuation of options with jumps in the underlying. Zbl 1117.91028
Almendral, Ariel; Oosterlee, Cornelis W.
65
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
62
2009
Efficient and accurate spectral method using generalized Jacobi functions for solving Riesz fractional differential equations. Zbl 1382.65222
Mao, Zhiping; Chen, Sheng; Shen, Jie
62
2016
Convergence analysis of finite difference approximations on equidistributed grids to a singularly perturbed boundary value problem. Zbl 0963.65086
Beckett, G.; Mackenzie, J. A.
61
2000
A moving least square reproducing polynomial meshless method. Zbl 1284.65137
Salehi, Rezvan; Dehghan, Mehdi
60
2013
A class of discontinuous Petrov-Galerkin methods. III: Adaptivity. Zbl 1316.76047
Demkowicz, Leszek; Gopalakrishnan, Jay; Niemi, Antti H.
60
2012
A trigonometrically fitted explicit Numerov-type method for second-order initial value problems with oscillating solutions. Zbl 1136.65068
Fang, Yonglei; Wu, Xinyuan
60
2008
A dimensional split preconditioner for Stokes and linearized Navier-Stokes equations. Zbl 1302.65074
Benzi, Michele; Guo, Xue-Ping
60
2011
Preconditioners for saddle point problems arising in computational fluid dynamics. Zbl 1168.76348
Elman, Howard C.
58
2002
An affine scaling trust-region approach to bound-constrained nonlinear systems. Zbl 1018.65067
Bellavia, Stefania; Macconi, Maria; Morini, Benedetta
57
2003
On the rotation and skew-symmetric forms for incompressible flow simulations. Zbl 0708.76071
Zang, Thomas A.
57
1991
Meshless Galerkin algorithms for boundary integral equations with moving least square approximations. Zbl 1232.65160
Li, Xiaolin
56
2011
Geometrical image segmentation by the Allen-Cahn equation. Zbl 1055.94502
Beneš, Michal; Chalupecký, Vladimír; Mikula, Karol
55
2004
On the numerical inversion of the Laplace transform of certain holomorphic mappings. Zbl 1059.65120
López-Fernández, M.; Palencia, C.
53
2004
A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations. Zbl 1123.65040
An, Heng-Bin; Bai, Zhong-Zhi
53
2007
Error estimates for the moving least-square approximation and the element-free Galerkin method in \(n\)-dimensional spaces. Zbl 1329.65274
Li, Xiaolin
53
2016
A nonstandard finite-difference scheme for the Lotka–Volterra system. Zbl 1025.65047
Mickens, Ronald E.
52
2003
Finite volume methods, unstructured meshes and strict stability for hyperbolic problems. Zbl 1019.65066
Nordström, Jan; Forsberg, Karl; Adamsson, Carl; Eliasson, Peter
52
2003
ROWMAP – a ROW-code with Krylov techniques for large stiff ODEs. Zbl 0895.65035
Weiner, R.; Schmitt, B. A.; Podhaisky, H.
52
1997
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
52
2013
Direct meshless local Petrov-Galerkin (DMLPG) method: A generalized MLS approximation. Zbl 1263.65118
Mirzaei, Davoud; Schaback, Robert
52
2013
Optimal implicit strong stability preserving Runge-Kutta methods. Zbl 1157.65046
Ketcheson, David I.; Macdonald, Colin B.; Gottlieb, Sigal
51
2009
Adjoint operators for the natural discretizations of the divergence, gradient and curl on logically rectangular grids. Zbl 1005.65024
Hyman, James M.; Shashkov, Mikhail
51
1997
Quasi-orthogonality with applications to some families of classical orthogonal polynomials. Zbl 1047.33002
Brezinski, C.; Driver, K. A.; Redivo-Zaglia, M.
50
2004
Error estimates for the finite point method. Zbl 1145.65086
Cheng, Rongjun; Cheng, Yumin
50
2008
Generalized Jacobi polynomials/functions and their applications. Zbl 1171.33006
Guo, Ben-Yu; Shen, Jie; Wang, Li-Lian
50
2009
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.
49
2009
Overlapping domain decomposition method by radial basis functions. Zbl 1013.65134
Zhou, X.; Hon, Y. C.; Li, Jichun
49
2003
Laguerre matrix polynomials and systems of second-order differential equations. Zbl 0821.34010
Jódar, L.; Company, R.; Navarro, E.
49
1994
Explicit Runge-Kutta methods for parabolic partial differential equations. Zbl 0868.65064
Verwer, J. G.
49
1996
Fourierization of the Legendre-Galerkin method and a new space-time spectral method. Zbl 1118.65111
Shen, Jie; Wang, Li-Lian
49
2007
Positive stable block triangular preconditioners for symmetric saddle point problems. Zbl 1118.65021
Cao, Zhi-Hao
49
2007
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.
48
2014
Stability of ADI schemes applied to convection–diffusion equations with mixed derivative terms. Zbl 1175.65104
in ’t Hout, K. J.; Welfert, B. D.
48
2007
On HSS-based iteration methods for weakly nonlinear systems. Zbl 1178.65047
Bai, Zhong-Zhi; Yang, Xi
48
2009
Wavelet-Galerkin method for integro-differential equations. Zbl 0955.65100
Avudainayagam, A.; Vani, C.
47
2000
Multistep collocation methods for Volterra integral equations. Zbl 1172.65069
Conte, D.; Paternoster, B.
47
2009
ADI schemes for higher-order nonlinear diffusion equations. Zbl 1061.76051
Witelski, T. P.; Bowen, M.
46
2003
On the low-rank approximation by the pivoted Cholesky decomposition. Zbl 1244.65042
Harbrecht, Helmut; Peters, Michael; Schneider, Reinhold
46
2012
Validated solutions of initial value problems for parametric ODEs. Zbl 1121.65084
Lin, Youdong; Stadtherr, Mark A.
46
2007
Accuracy and linear stability of RKN methods for solving second-order stiff problems. Zbl 1161.65062
Franco, J. M.; Gómez, I.
46
2009
Implicit Taylor methods for stiff stochastic differential equations. Zbl 0983.65007
Tian, Tianhai; Burrage, Kevin
45
2001
Strong stability of singly-diagonally-implicit Runge-Kutta methods. Zbl 1153.65080
Ferracina, L.; Spijker, M. N.
45
2008
A localized meshless technique for solving 2D nonlinear integro-differential equation with multi-term kernels. Zbl 1500.65082
Cao, Y.; Nikan, O.; Avazzadeh, Z.
2
2023
Implicit and semi-implicit well-balanced finite-volume methods for systems of balance laws. Zbl 07630322
Gómez-Bueno, I.; Boscarino, S.; Castro, M. J.; Parés, C.; Russo, G.
1
2023
Fast parallel-in-time quasi-boundary value methods for backward heat conduction problems. Zbl 07630337
Jiang, Yi; Liu, Jun
1
2023
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
7
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.
6
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.
3
2022
Double parameter splitting (DPS) iteration method for solving complex symmetric linear systems. Zbl 1482.65054
Shirilord, Akbar; Dehghan, Mehdi
3
2022
Difference finite element method for the 3D steady Stokes equations. Zbl 1482.76078
Feng, Xinlong; Lu, Xiaoli; He, Yinnian
3
2022
Numerical solution of the Cauchy problem for Volterra integrodifferential equations with difference kernels. Zbl 1485.65137
Vabishchevich, P. N.
3
2022
Mathematical analysis and numerical methods for Caputo-Hadamard fractional diffusion-wave equations. Zbl 1484.65187
Ou, Caixia; Cen, Dakang; Vong, Seakweng; Wang, Zhibo
3
2022
Error analysis of an implicit Galerkin meshfree scheme for general second-order parabolic problems. Zbl 1484.65237
Zhang, Tao; Li, Xiaolin; Xu, Liwei
3
2022
Unconditionally energy stable \(C^0\)-virtual element scheme for solving generalized Swift-Hohenberg equation. Zbl 1492.65263
Dehghan, Mehdi; Gharibi, Zeinab; Eslahchi, Mohammad Reza
3
2022
Stochastic discontinuous Galerkin methods with low-rank solvers for convection diffusion equations. Zbl 1478.65118
Çiloğlu, Pelin; Yücel, Hamdullah
2
2022
Qualitative property preservation of high-order operator splitting for the SIR model. Zbl 1484.92006
Wei, Siqi; Spiteri, Raymond J.
2
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
2
2022
Some iterative approaches for Sylvester tensor equations. I: A tensor format of truncated loose simpler GMRES. Zbl 1484.65079
Saberi-Movahed, Farid; Tajaddini, Azita; Heyouni, Mohammed; Elbouyahyaoui, Lakhdar
2
2022
A numerical method for linear Volterra integral equations on infinite intervals and its application to the resolution of metastatic tumor growth models. Zbl 1484.65337
De Bonis, M. C.; Laurita, C.; Sagaria, V.
2
2022
Second-order BDF ADI Galerkin finite element method for the evolutionary equation with a nonlocal term in three-dimensional space. Zbl 1484.65236
Yang, Xuehua; Qiu, Wenlin; Chen, Haifan; Zhang, Haixiang
2
2022
A Crank-Nicolson-type compact difference method with the uniform time step for a class of weakly singular parabolic integro-differential equations. Zbl 1484.65346
Wang, Yuan-Ming; Zhang, Yu-Jia
2
2022
Monotone cubic spline interpolation for functions with a strong gradient. Zbl 1484.65026
Aràndiga, Francesc; Baeza, Antonio; Yáñez, Dionisio F.
2
2022
Convergence in the maximum norm of ADI-type methods for parabolic problems. Zbl 07418837
González-Pinto, S.; Hernández-Abreu, D.
2
2022
Partitioned time stepping method with different time scales for a dual-porosity-Stokes model. Zbl 07418838
Shan, Li; Zhang, Haicheng
2
2022
Comparison of two finite element schemes for a chemo-repulsion system with quadratic production. Zbl 07468864
Guillén-González, F.; Rodríguez-Bellido, M. A.; Rueda-Gómez, D. A.
2
2022
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
2
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
2
2022
An unconditionally energy-stable linear Crank-Nicolson scheme for the Swift-Hohenberg equation. Zbl 1502.65139
Qi, Longzhao; Hou, Yanren
2
2022
A highly accurate and computationally efficient technique for solving the electrohydrodynamic flow in a circular cylindrical conduit. Zbl 1498.65123
Izadi, Mohammad; Roul, Pradip
2
2022
Energy-preserving exponential integrator Fourier pseudo-spectral schemes for the nonlinear Dirac equation. Zbl 1484.65263
Li, Jiyong
1
2022
A weak approximation method for irregular functionals of hypoelliptic diffusions. Zbl 1484.65009
Akiyama, Naho; Yamada, Toshihiro
1
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
1
2022
Multilevel correction goal-oriented adaptive finite element method for semilinear elliptic equations. Zbl 1484.65306
Xu, Fei; Huang, Qiumei; Yang, Huiting; Ma, Hongkun
1
2022
On the generally randomized extended Gauss-Seidel method. Zbl 1484.65064
Wu, Nianci; Xiang, Hua
1
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
1
2022
A reduced-order extrapolated finite difference iterative scheme for uniform transmission line equation. Zbl 1484.65178
Deng, Qiuxiang; Luo, Zhendong
1
2022
Stable numerical schemes for time-fractional diffusion equation with generalized memory kernel. Zbl 1484.65182
Kedia, Nikki; Alikhanov, Anatoly A.; Singh, Vineet Kumar
1
2022
LDG approximation of a nonlinear fractional convection-diffusion equation using B-spline basis functions. Zbl 07418826
Safdari, Hamid; Rajabzadeh, Majid; Khalighi, Moein
1
2022
A two-grid block-centered finite difference method for the nonlinear regularized long wave equation. Zbl 07418830
Xu, Jie; Xie, Shusen; Fu, Hongfei
1
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.
1
2022
Supercloseness of finite element method on a Bakhvalov-type mesh for a singularly perturbed problem with two parameters. Zbl 1492.65223
Zhang, Jin; Lv, Yanhui
1
2022
An explicit algorithm for solving monotone variational inequalities. Zbl 1480.49016
Thong, Duong Viet; Gibali, Aviv; Vuong, Phan Tu
1
2022
A new conservative fourth-order accurate difference scheme for the nonlinear Schrödinger equation with wave operator. Zbl 1486.65111
Labidi, Samira; Omrani, Khaled
1
2022
Global convergence of a descent PRP type conjugate gradient method for nonconvex optimization. Zbl 1484.65122
Hu, Qingjie; Zhang, Hongrun; Chen, Yu
1
2022
Non-iterative domain decomposition for the Helmholtz equation with strong material discontinuities. Zbl 1484.35163
North, Evan; Tsynkov, Semyon; Turkel, Eli
1
2022
New summation formulas of Fox-Wright-type series containing the polygamma functions. Zbl 1484.33020
Mehrez, Khaled
1
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
1
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
1
2022
High-order bicompact schemes for the quasilinear multidimensional diffusion equation. Zbl 1486.65095
Bragin, Michael D.
1
2022
Least-squares ReLU neural network (LSNN) method for scalar nonlinear hyperbolic conservation law. Zbl 1484.65174
Cai, Zhiqiang; Chen, Jingshuang; Liu, Min
1
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
1
2022
Stability results for backward heat equations with time-dependent coefficient in the Banach space \(L_p (\mathbb{R})\). Zbl 1485.35082
Duc, Nguyen Van; Muoi, Pham Quy; Anh, Nguyen Thi Van
1
2022
A posteriori error analysis of a momentum conservative Banach spaces based mixed-FEM for the Navier-Stokes problem. Zbl 1484.65294
Camaño, Jessika; Caucao, Sergio; Oyarzúa, Ricardo; Villa-Fuentes, Segundo
1
2022
The performance of a numerical scheme on the variable-order time-fractional advection-reaction-subdiffusion equations. Zbl 07533815
Kheirkhah, Farnaz; Hajipour, Mojtaba; Baleanu, Dumitru
1
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
1
2022
Effective condition number for the selection of the RBF shape parameter with the fictitious point method. Zbl 1503.65305
Noorizadegan, Amir; Chen, Chuin-Shan; Young, D. L.; Chen, C. S.
1
2022
A stabilized fully-discrete scheme for phase field crystal equation. Zbl 1503.65193
Zhang, Fan; Li, Dongfang; Sun, Hai-Wei; Zhang, Jia-Li
1
2022
Splitting extrapolation algorithms for solving linear delay Volterra integral equations with a spatial variable. Zbl 1502.65284
Zhang, Li; Huang, Jin; Li, Hu
1
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.
1
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
1
2022
Geometric continuous-stage exponential energy-preserving integrators for charged-particle dynamics in a magnetic field from normal to strong regimes. Zbl 1498.65221
Li, Ting; Wang, Bin
1
2022
Logarithmic Jacobi collocation method for Caputo-Hadamard fractional differential equations. Zbl 1498.65114
Zaky, Mahmoud A.; Hendy, Ahmed S.; Suragan, D.
1
2022
An adaptive iterative linearised finite element method for implicitly constituted incompressible fluid flow problems and its application to Bingham fluids. Zbl 1502.65202
Heid, Pascal; Süli, Endre
1
2022
Uniformly accurate schemes for drift-oscillatory stochastic differential equations. Zbl 07574213
Almuslimani, Ibrahim; Chartier, Philippe; Lemou, Mohammed; Méhats, Florian
1
2022
An efficient kernel-based method for solving nonlinear generalized Benjamin-Bona-Mahony-Burgers equation in irregular domains. Zbl 1502.65157
Azarnavid, Babak; Emamjomeh, Mahdi; Nabati, Mohammad
1
2022
On the convergence of the primal hybrid finite element method on quadrilateral meshes. Zbl 1502.65217
Taraschi, Giovanni; Correa, Maicon R.
1
2022
An optimal control approach for determining the source term in fractional diffusion equation by different cost functionals. Zbl 1496.35454
Oulmelk, A.; Afraites, L.; Hadri, A.; Nachaoui, M.
1
2022
Convergence analysis of a conservative finite element scheme for the thermally coupled incompressible inductionless MHD problem. Zbl 1500.65064
Long, Xiaonian; Ding, Qianqian
1
2022
A spectral collocation method for solving fractional KdV and KdV-Burgers equations with non-singular kernel derivatives. Zbl 1457.76114
Khader, M. M.; Saad, Khaled M.; Hammouch, Zakia; Baleanu, Dumitru
17
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
16
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
16
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.
11
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.
10
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.
9
2021
Analysis of versions of relaxed inertial projection and contraction method. Zbl 1466.49015
Shehu, Yekini; Liu, Lulu; Mu, Xuewen; Dong, Qiao-Li
9
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
8
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
8
2021
A weak Galerkin finite element method for time fractional reaction-diffusion-convection problems with variable coefficients. Zbl 1486.65179
Toprakseven, Şuayip
8
2021
Numerical simulation of fractional evolution model arising in viscoelastic mechanics. Zbl 1486.65206
Nikan, O.; Avazzadeh, Z.
8
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
7
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
7
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.
7
2021
Numerical investigation for Caputo-Fabrizio fractional Riccati and Bernoulli equations using iterative reproducing kernel method. Zbl 1482.65120
Momani, Shaher; Djeddi, Nadir; Al-Smadi, Mohammed; Al-Omari, Shrideh
7
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
6
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.
6
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
6
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.
6
2021
Two spectral Legendre’s derivative algorithms for Lane-Emden, Bratu equations, and singular perturbed problems. Zbl 1472.65090
Abdelhakem, M.; Youssri, Y. H.
6
2021
Terminal value problems for the nonlinear systems of fractional differential equations. Zbl 1482.65109
Shiri, Babak; Wu, Guo-Cheng; Baleanu, Dumitru
6
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
6
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
5
2021
A divergence-free generalized moving least squares approximation with its application. Zbl 1458.76080
Mohammadi, Vahid; Dehghan, Mehdi
5
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
5
2021
A meshless method for time fractional nonlinear mixed diffusion and diffusion-wave equation. Zbl 1459.65137
Bhardwaj, Akanksha; Kumar, Alpesh
5
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
5
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
5
2021
A compact finite difference scheme for fractional Black-Scholes option pricing model. Zbl 1467.91215
Roul, Pradip; Goura, V. M. K. Prasad
5
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
5
2021
Error estimates in weak Galerkin finite element methods for parabolic equations under low regularity assumptions. Zbl 1466.65125
Deka, Bhupen; Kumar, Naresh
4
2021
New primal-dual weak Galerkin finite element methods for convection-diffusion problems. Zbl 1460.65144
Cao, Waixiang; Wang, Chunmei
4
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
4
2021
Perturbation analysis for total least squares problems with linear equality constraint. Zbl 1459.65085
Liu, Qiaohua; Chen, Cuiping; Zhang, Qian
4
2021
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265 Dehghan Takht Fooladi, Mehdi
147 Simos, Theodore E.
92 Shu, Chi-Wang
83 He, Yinnian
78 Jackiewicz, Zdzislaw
75 Zhang, Chengjian
70 Abbaszadeh, Mostafa
70 Reichel, Lothar
68 Wu, Xinyuan
64 Huang, Chengming
64 Liu, Fawang
63 Chen, Yanping
62 Li, Xiaolin
61 Shi, Dongyang
61 Wang, Hong
61 Xu, Da
60 Feng, Xinlong
57 Huang, Ting-Zhu
56 Luo, Zhendong
56 Sun, Zhizhong
55 Băleanu, Dumitru I.
53 Bhrawy, Ali Hassan
53 Qiu, Jianxian
52 Jbilou, Khalide
51 Codina, Ramon
51 Dumbser, Michael
51 Huang, Yunqing
51 Weiner, Rüdiger
50 Ma, Changfeng
50 Nordström, Jan
50 Wang, Wansheng
49 D’Ambrosio, Raffaele
49 He, Xiaoming
49 Paternoster, Beatrice
48 Karniadakis, George Em
48 Li, Hong
48 Xiao, Aiguo
47 Sun, Haiwei
46 Doha, Eid H.
43 Brezinski, Claude
43 Ordokhani, Yadollah
42 Brugnano, Luigi
42 Harbrecht, Helmut
42 Mei, Liquan
42 Siraj-ul-Islam
42 Zaky, Mahmoud A.
42 Zhang, Guofeng
42 Zhang, Zhimin
41 Heydari, Mohammad Hossien
40 Abdi, Ali
40 Baccouch, Mahboub
39 Benner, Peter
39 Liu, Yang
39 Macías-Díaz, Jorge Eduardo
39 Sandu, Adrian
39 Turner, Ian William
39 Zhao, Jingjun
38 Burman, Erik
38 Hou, Yanren
38 Jiang, Yaolin
38 Kim, Junseok
38 Ostermann, Alexander
38 Praetorius, Dirk
37 Avazzadeh, Zakieh
37 Ding, Xiaohua
37 Li, Shoufu
37 Marcellán Español, Francisco
37 Shang, Yueqiang
37 Vong, Seakweng
36 Li, Jian
35 Boyd, John Philip
35 Burrage, Kevin
35 Huang, Pengzhan
35 Wohlmuth, Barbara I.
35 Yang, Xiaofeng
34 Fang, Yonglei
33 Khojasteh Salkuyeh, Davod
33 Xu, Yang
33 You, Xiong
33 Zhang, Shangyou
32 Abbasbandy, Saeid
32 Gan, Siqing
32 Gander, Martin Jakob
32 Hojjati, Gholamreza
32 Razzaghi, Mohsen
32 Shivanian, Elyas
32 Wang, Bin
32 Wen, Liping
31 Amat, Sergio P.
31 Guo, Ben-Yu
31 Hesthaven, Jan S.
31 Li, Zi-Cai
31 Mohebbi, Akbar
31 Tsynkov, Semyon V.
31 Turkel, Eli L.
31 Wang, Zhongqing
30 Badia, Santiago
30 Bürger, Raimund
30 Conte, Dajana
30 Ferreira, José Augusto
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