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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: 4,857 Publications (since 1985)
References Indexed: 4,543 Publications with 129,130 References.
all top 5

Authors

42 Dehghan Takht Fooladi, Mehdi
33 Jackiewicz, Zdzislaw
32 Reichel, Lothar
28 Butcher, John C.
28 Weiner, Rüdiger
21 Zaky, Mahmoud A.
20 van der Houwen, Pieter J.
19 Sommeijer, Ben P.
19 Verwer, Jan G.
18 Brezinski, Claude
17 Abdi, Ali
17 Băleanu, Dumitru I.
16 Brugnano, Luigi
16 Hendy, Ahmed S.
16 Paternoster, Beatrice
15 Shi, Dongyang
15 Zhang, Chengjian
14 Baccouch, Mahboub
14 Flaherty, Joseph E.
14 Hojjati, Gholamreza
14 Jbilou, Khalide
13 Abbaszadeh, Mostafa
13 Burrage, Kevin
13 D’Ambrosio, Raffaele
13 Günther, Michael
13 Li, Zi-Cai
13 Macías-Díaz, Jorge Eduardo
13 Schmitt, Bernhard A.
13 Turkel, Eli L.
12 Blanes, Sergio
12 Jorge, Juan Carlos
12 Oosterlee, Cornelis Willebrordus
12 O’Riordan, Eugene
12 Ostermann, Alexander
11 Ferreira, José Augusto
11 Lima, Pedro Miguel
11 Occorsio, Donatella
11 Podhaisky, Helmut
11 Redivo-Zaglia, Michela
10 Arnold, Martin
10 Boyd, John Philip
10 Chen, Yanping
10 Conte, Dajana
10 González-Vera, Pablo
10 in ’t Hout, Karel J.
10 Mei, Liquan
10 Nordström, Jan
10 Petzold, Linda Ruth
10 Shampine, Lawrence Fred
10 Shen, Jie
10 Shu, Chi-Wang
10 Stephan, Ernst Peter
10 Trigiante, Donato
10 Weinmüller, Ewa B.
10 Wu, Xinyuan
9 Bai, Zhongzhi
9 Berzins, Martin
9 González-Pinto, Severiano
9 Guo, Ben-Yu
9 Huang, Hung-Tsai
9 Huang, Yunqing
9 Hundsdorfer, Willem H.
9 Jimack, Peter K.
9 Li, Xiaoli
9 Mazzia, Francesca
9 Mikula, Karol
9 Pereyra, Victor
9 Roul, Pradip
9 Stynes, Martin Joseph
9 Tsynkov, Semyon V.
9 Wang, Yuanming
9 Zhang, Shangyou
9 Zhu, Peng
8 Baker, Christopher Thomas Hale
8 Brunner, Hermann
8 Calvo, M. P.
8 Cano, Begoña
8 Cao, Zhihao
8 Casas, Fernando
8 Chacón Rebollo, Tomás
8 Copetti, Maria Inês M.
8 Dumbser, Michael
8 Feldstein, Alan
8 Fernández, Jose Ramon
8 Ford, Neville J.
8 Gatica, Gabriel N.
8 He, Yinnian
8 Huang, Chengming
8 Huang, Jin
8 Huang, Qiumei
8 Jung, Jae-Hun
8 Li, Jiyong
8 Liang, Dong
8 Luo, Zhendong
8 Mao, Xuerong
8 Meister, Andreas
8 Pulch, Roland
8 Sanz-Serna, Jesús María
8 Spijker, Marc N.
8 Spitaleri, Rosa Maria
...and 6,417 more Authors
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Fields

4,163 Numerical analysis (65-XX)
1,628 Partial differential equations (35-XX)
736 Fluid mechanics (76-XX)
661 Ordinary differential equations (34-XX)
284 Integral equations (45-XX)
204 Mechanics of deformable solids (74-XX)
198 Approximations and expansions (41-XX)
178 Operations research, mathematical programming (90-XX)
157 Probability theory and stochastic processes (60-XX)
137 Optics, electromagnetic theory (78-XX)
135 Biology and other natural sciences (92-XX)
126 Calculus of variations and optimal control; optimization (49-XX)
121 Real functions (26-XX)
110 Dynamical systems and ergodic theory (37-XX)
109 Linear and multilinear algebra; matrix theory (15-XX)
82 Special functions (33-XX)
77 Classical thermodynamics, heat transfer (80-XX)
68 Statistical mechanics, structure of matter (82-XX)
68 Geophysics (86-XX)
65 General and overarching topics; collections (00-XX)
65 Harmonic analysis on Euclidean spaces (42-XX)
63 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
56 Information and communication theory, circuits (94-XX)
55 Operator theory (47-XX)
54 Computer science (68-XX)
44 Mechanics of particles and systems (70-XX)
36 Functions of a complex variable (30-XX)
36 Systems theory; control (93-XX)
32 Quantum theory (81-XX)
25 Integral transforms, operational calculus (44-XX)
24 Sequences, series, summability (40-XX)
23 Statistics (62-XX)
13 History and biography (01-XX)
12 Difference and functional equations (39-XX)
10 Potential theory (31-XX)
9 Combinatorics (05-XX)
9 Number theory (11-XX)
9 Functional analysis (46-XX)
7 Differential geometry (53-XX)
6 Field theory and polynomials (12-XX)
6 Global analysis, analysis on manifolds (58-XX)
6 Astronomy and astrophysics (85-XX)
4 Relativity and gravitational theory (83-XX)
3 Topological groups, Lie groups (22-XX)
2 Measure and integration (28-XX)
2 Several complex variables and analytic spaces (32-XX)
1 Commutative algebra (13-XX)
1 Convex and discrete geometry (52-XX)
1 Algebraic topology (55-XX)

Publications by Year

Citations contained in zbMATH Open

3,997 Publications have been cited 48,150 times in 32,510 Documents Cited by Year
A fully discrete difference scheme for a diffusion-wave system. Zbl 1094.65083
Sun, Zhi-Zhong; Wu, Xiaonan
766
2006
Finite difference approximations for two-sided space-fractional partial differential equations. Zbl 1086.65087
Meerschaert, Mark M.; Tadjeran, Charles
521
2006
Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations. Zbl 0896.65061
Ascher, Uri M.; Ruuth, Steven J.; Spiteri, Raymond J.
517
1997
Additive Runge-Kutta schemes for convection-diffusion-reaction equations. Zbl 1013.65103
Kennedy, Christopher A.; Carpenter, Mark H.
322
2003
Numerical solution of problems on unbounded domains. A review. Zbl 0939.76077
Tsynkov, Semyon V.
293
1998
Strong contractivity properties of numerical methods for ordinary and delay differential equations. Zbl 0749.65042
Bellen, A.; Zennaro, M.
281
1992
Mathematical and numerical models for coupling surface and groundwater flows. Zbl 1023.76048
Discacciati, Marco; Miglio, Edie; Quarteroni, Alfio
262
2002
BoomerAMG: A parallel algebraic multigrid solver and preconditioner. Zbl 0995.65128
Henson, Van Emden; Meier Yang, Ulrike
242
2002
Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method. Zbl 1316.65099
Burman, Erik; Hansbo, Peter
241
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.
216
2004
Parallel, adaptive finite element methods for conservation laws. Zbl 0826.65084
Biswas, Rupak; Devine, Karen D.; Flaherty, Joseph E.
214
1994
The immersed interface method using a finite element formulation. Zbl 0936.65091
Li, Zhilin
194
1998
Solving DDEs in Matlab. Zbl 0983.65079
Shampine, L. F.; Thompson, S.
180
2001
A finite difference scheme for partial integro-differential equations with a weakly singular kernel. Zbl 0768.65093
Tang, Tao
145
1993
Low-storage, explicit Runge-Kutta schemes for the compressible Navier-Stokes equations. Zbl 0986.76060
Kennedy, Christopher A.; Carpenter, Mark H.; Lewis, R. Michael
145
2000
On large time-stepping methods for the Cahn-Hilliard equation. Zbl 1118.65109
He, Yinnian; Liu, Yunxian; Tang, Tao
144
2007
Absorbing PML boundary layers for wave-like equations. Zbl 0933.35188
Turkel, E.; Yefet, A.
140
1998
Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems. Zbl 1012.65136
Bai, Zhaojun
139
2002
Global FOM and GMRES algorithms for matrix equations. Zbl 0935.65024
Jbilou, K.; Messaoudi, A.; Sadok, H.
137
1999
A cut finite element method for a Stokes interface problem. Zbl 1299.76136
Hansbo, Peter; Larson, Mats G.; Zahedi, Sara
137
2014
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
127
2010
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.
124
2009
Restoring particle consistency in smoothed particle hydrodynamics. Zbl 1329.76285
Liu, M. B.; Liu, G. R.
122
2006
On a class of preconditioners for solving the Helmholtz equation. Zbl 1051.65101
Erlangga, Y. A.; Vuik, C.; Oosterlee, C. W.
121
2004
A modified quasi-boundary value method for an inverse source problem of the time-fractional diffusion equation. Zbl 1282.65141
Wei, Ting; Wang, Jungang
118
2014
Some results on uniformly high-order accurate essentially nonoscillatory schemes. Zbl 0627.65101
Harten, Ami; Osher, Stanley; Engquist, Björn; Chakravarthy, Sukumar R.
115
1986
A weighted finite difference method for the fractional diffusion equation based on the Riemann-Liouville derivative. Zbl 1326.65111
Sousa, Ercília; Li, Can
112
2015
A stabilized finite element method based on local polynomial pressure projection for the stationary Navier-Stokes equations. Zbl 1155.35406
He, Yinnian; Li, Jian
109
2008
New methods for oscillatory systems based on ARKN methods. Zbl 1096.65068
Franco, J. M.
107
2006
Linearly implicit Runge-Kutta methods for advection-reaction-diffusion equations. Zbl 0983.65106
Calvo, M. P.; de Frutos, J.; Novo, J.
106
2001
A meshless based method for solution of integral equations. Zbl 1202.65174
Mirzaei, Davoud; Dehghan, Mehdi
103
2010
An improved collocation method for multi-dimensional space-time variable-order fractional Schrödinger equations. Zbl 1353.65106
Bhrawy, A. H.; Zaky, M. A.
102
2017
Exponential Runge-Kutta methods for parabolic problems. Zbl 1070.65099
Hochbruck, Marlis; Ostermann, Alexander
100
2005
An algebraic theory for primal and dual substructuring methods by constraints. Zbl 1076.65100
Mandel, Jan; Dohrmann, Clark R.; Tezaur, Radek
99
2005
Runge-Kutta(-Nyström) methods for ODEs with periodic solutions based on trigonometric polynomials. Zbl 0927.65097
Paternoster, B.
99
1998
Efficient techniques for the second-order parabolic equation subject to nonlocal specifications. Zbl 1063.65079
Dehghan, Mehdi
98
2005
The midpoint upwind scheme. Zbl 0877.65055
Stynes, Martin; Roos, Hans-Görg
97
1997
Review of preconditioning methods for fluid dynamics. Zbl 0770.76048
Turkel, E.
95
1993
High strong order explicit Runge-Kutta methods for stochastic ordinary differential equations. Zbl 0868.65101
Burrage, K.; Burrage, P. M.
94
1996
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
92
2009
Chebyshev tau-QZ algorithm methods for calculating spectra of hydrodynamic stability problems. Zbl 0867.76025
Dongarra, J. J.; Straughan, B.; Walker, D. W.
92
1996
High order Runge-Kutta methods on manifolds. Zbl 0934.65077
Munthe-Kaas, Hans
92
1999
On the stability of implicit-explicit linear multistep methods. Zbl 0887.65094
Frank, J.; Hundsdorfer, W.; Verwer, J. G.
91
1997
A comparative study of sparse approximate inverse preconditioners. Zbl 0949.65043
Benzi, Michele; Tuma, Miroslav
90
1999
Geometrical image segmentation by the Allen-Cahn equation. Zbl 1055.94502
Beneš, Michal; Chalupecký, Vladimír; Mikula, Karol
90
2004
Fourth-order alternating direction implicit compact finite difference schemes for two-dimensional Schrödinger equations. Zbl 1221.65220
Gao, Zhen; Xie, Shusen
89
2011
Several new numerical methods for compressible shear-layer simulations. Zbl 0804.76062
Kennedy, Christopher A.; Carpenter, Mark H.
88
1994
Analysis of a stabilized finite element approximation of the Oseen equations using orthogonal subscales. Zbl 1144.76029
Codina, Ramon
87
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
85
2009
Discontinuous Galerkin methods for coupled flow and reactive transport problems. Zbl 1079.76584
Sun, Shuyu; Wheeler, Mary F.
84
2005
Discrete multi-resolution analysis and generalized wavelets. Zbl 0777.65004
Harten, Ami
83
1993
Diagonally-implicit multi-stage integration methods. Zbl 0773.65046
Butcher, J. C.
80
1993
Efficient and accurate spectral method using generalized Jacobi functions for solving Riesz fractional differential equations. Zbl 1382.65222
Mao, Zhiping; Chen, Sheng; Shen, Jie
80
2016
Block triangular preconditioners for symmetric saddle-point problems. Zbl 1053.65033
Simoncini, V.
80
2004
A study of orthonormal multi-wavelets. Zbl 0877.65098
Chui, Charles K.; Lian, Jian-ao
79
1996
A formulation of asymptotic and exact boundary conditions using local operators. Zbl 0924.35167
Hagstrom, Thomas; Hariharan, S. I.
78
1998
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.
78
1996
Adaptive radial basis function methods for time dependent partial differential equations. Zbl 1069.65109
Sarra, Scott A.
77
2005
Multisymplectic box schemes and the Korteweg-de Vries equation. Zbl 1038.65138
Ascher, Uri M.; McLachlan, Robert I.
77
2004
Numerical valuation of options with jumps in the underlying. Zbl 1117.91028
Almendral, Ariel; Oosterlee, Cornelis W.
77
2005
A class of discontinuous Petrov-Galerkin methods. III: Adaptivity. Zbl 1316.76047
Demkowicz, Leszek; Gopalakrishnan, Jay; Niemi, Antti H.
77
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.
76
2008
Error estimates for the moving least-square approximation and the element-free Galerkin method in \(n\)-dimensional spaces. Zbl 1329.65274
Li, Xiaolin
76
2016
A trigonometrically fitted explicit Numerov-type method for second-order initial value problems with oscillating solutions. Zbl 1136.65068
Fang, Yonglei; Wu, Xinyuan
75
2008
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
74
2013
Finite volume methods, unstructured meshes and strict stability for hyperbolic problems. Zbl 1019.65066
Nordström, Jan; Forsberg, Karl; Adamsson, Carl; Eliasson, Peter
72
2003
A dimensional split preconditioner for Stokes and linearized Navier-Stokes equations. Zbl 1302.65074
Benzi, Michele; Guo, Xue-Ping
71
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.
71
2000
Generalized Jacobi polynomials/functions and their applications. Zbl 1171.33006
Guo, Ben-Yu; Shen, Jie; Wang, Li-Lian
69
2009
Fourierization of the Legendre-Galerkin method and a new space-time spectral method. Zbl 1118.65111
Shen, Jie; Wang, Li-Lian
68
2007
Meshless Galerkin algorithms for boundary integral equations with moving least square approximations. Zbl 1232.65160
Li, Xiaolin
66
2011
A moving least square reproducing polynomial meshless method. Zbl 1284.65137
Salehi, Rezvan; Dehghan, Mehdi
65
2013
On HSS-based iteration methods for weakly nonlinear systems. Zbl 1178.65047
Bai, Zhong-Zhi; Yang, Xi
64
2009
On the rotation and skew-symmetric forms for incompressible flow simulations. Zbl 0708.76071
Zang, Thomas A.
63
1991
On the numerical inversion of the Laplace transform of certain holomorphic mappings. Zbl 1059.65120
López-Fernández, M.; Palencia, C.
63
2004
An efficient smoother for the Stokes problem. Zbl 0874.65095
Braess, Dietrich; Sarazin, R.
62
1997
Preconditioners for saddle point problems arising in computational fluid dynamics. Zbl 1168.76348
Elman, Howard C.
62
2002
Optimal implicit strong stability preserving Runge-Kutta methods. Zbl 1157.65046
Ketcheson, David I.; Macdonald, Colin B.; Gottlieb, Sigal
62
2009
Carleman estimates for the regularization of ill-posed Cauchy problems. Zbl 1325.65148
Klibanov, Michael V.
61
2015
Multistep collocation methods for Volterra integral equations. Zbl 1172.65069
Conte, D.; Paternoster, B.
60
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
Higher order accurate approximations on equidistributed meshes for boundary layer originated mixed type reaction diffusion systems with multiple scale nature. Zbl 1448.65075
Das, Pratibhamoy; Rana, Subrata; Vigo-Aguiar, Jesus
60
2020
Explicit Runge-Kutta methods for parabolic partial differential equations. Zbl 0868.65064
Verwer, J. G.
59
1996
Direct meshless local Petrov-Galerkin (DMLPG) method: A generalized MLS approximation. Zbl 1263.65118
Mirzaei, Davoud; Schaback, Robert
59
2013
An affine scaling trust-region approach to bound-constrained nonlinear systems. Zbl 1018.65067
Bellavia, Stefania; Macconi, Maria; Morini, Benedetta
59
2003
Accuracy and linear stability of RKN methods for solving second-order stiff problems. Zbl 1161.65062
Franco, J. M.; Gómez, I.
59
2009
Error estimates for the finite point method. Zbl 1145.65086
Cheng, Rongjun; Cheng, Yumin
58
2008
A nonstandard finite-difference scheme for the Lotka–Volterra system. Zbl 1025.65047
Mickens, Ronald E.
58
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.
58
2014
Collocation methods for terminal value problems of tempered fractional differential equations. Zbl 1455.65238
Shiri, Babak; Wu, Guo-Cheng; Baleanu, Dumitru
57
2020
A parameter robust second order numerical method for a singularly perturbed two-parameter problem. Zbl 1095.65067
Gracia, J. L.; O’Riordan, E.; Pickett, M. L.
57
2006
Projection methods with alternating inertial steps for variational inequalities: weak and linear convergence. Zbl 1445.49004
Shehu, Yekini; Iyiola, Olaniyi S.
57
2020
On the low-rank approximation by the pivoted Cholesky decomposition. Zbl 1244.65042
Harbrecht, Helmut; Peters, Michael; Schneider, Reinhold
57
2012
Regularized linear schemes for the molecular beam epitaxy model with slope selection. Zbl 1486.65191
Chen, Lizhen; Zhao, Jia; Yang, Xiaofeng
56
2018
Semi-implicit projection methods for incompressible flow based on spectral deferred corrections. Zbl 1035.76040
Minion, Michael L.
56
2004
ROWMAP – a ROW-code with Krylov techniques for large stiff ODEs. Zbl 0895.65035
Weiner, R.; Schmitt, B. A.; Podhaisky, H.
55
1997
Laguerre matrix polynomials and systems of second-order differential equations. Zbl 0821.34010
Jódar, L.; Company, R.; Navarro, E.
55
1994
A minimum entropy principle in the gas dynamics equations. Zbl 0625.76084
Tadmor, Eitan
55
1986
\(\mathcal H^2\)-matrix approximation of integral operators by interpolation. Zbl 1019.65103
Hackbusch, Wolfgang; Börm, Steffen
55
2002
Positive stable block triangular preconditioners for symmetric saddle point problems. Zbl 1118.65021
Cao, Zhi-Hao
55
2007
A uniformly convergent analysis for multiple scale parabolic singularly perturbed convection-diffusion coupled systems: optimal accuracy with less computational time. Zbl 07952203
Kumar, Shridhar; Das, Pratibhamoy
1
2025
Computation of pairs of related Gauss-type quadrature rules. Zbl 07980380
Alqahtani, H.; Borges, C. F.; Djukić, D. Lj.; Djukić, R. M. Mutavdžić; Reichel, L.; Spalević, M. M.
1
2025
Parameter uniform higher order numerical treatment for singularly perturbed Robin type parabolic reaction diffusion multiple scale problems with large delay in time. Zbl 07827744
Saini, Sumit; Das, Pratibhamoy; Kumar, Sunil
10
2024
Type \((\lambda^\ast,\lambda)\) reduced nonlocal integrable AKNS equations and their soliton solutions. Zbl 1547.35634
Ma, Wen-Xiu
6
2024
Double reduction order method based conservative compact schemes for the Rosenau equation. Zbl 07827757
Mao, Wanying; Zhang, Qifeng; Xu, Dinghua; Xu, Yinghong
4
2024
Weighted averaged Gaussian quadrature rules for modified Chebyshev measures. Zbl 07856362
Djukić, Dušan Lj.; Mutavdžić Djukić, Rada M.; Reichel, Lothar; Spalević, Miodrag M.
4
2024
Energy-stable and boundedness preserving numerical schemes for the Cahn-Hilliard equation with degenerate mobility. Zbl 07827747
Guillén-González, F.; Tierra, G.
3
2024
A splitting discontinuous Galerkin projection method for the magneto-hydrodynamic equations. Zbl 07827774
Wei, Yuanhong; Zou, Guang-an
3
2024
Romanovski-Jacobi spectral schemes for high-order differential equations. Zbl 07856298
Youssri, Y. H.; Zaky, M. A.; Hafez, R. M.
3
2024
On a generalization of time-accurate and highly-stable explicit operators for stiff problems. Zbl 07856351
Aceto, Lidia; Conte, Dajana; Pagano, Giovanni
3
2024
Error estimates for the finite element method of the Navier-Stokes-Poisson-Nernst-Planck equations. Zbl 07827764
Li, Minghao; Li, Zhenzhen
2
2024
The numerical solution of a time-delay model of population growth with immigration using Legendre wavelets. Zbl 1535.65309
Goligerdian, Arash; Khaksar-e Oshagh, Mahmood
2
2024
Nonconforming mixed finite element method for the diffuse interface model of two-phase fluid flows. Zbl 07827769
Liu, Qian; Shi, Dongyang
2
2024
A divergence-free hybrid finite volume / finite element scheme for the incompressible MHD equations based on compatible finite element spaces with a posteriori limiting. Zbl 07856309
Zampa, E.; Busto, S.; Dumbser, M.
2
2024
Efficient numerical methods for semilinear one dimensional parabolic singularly perturbed convection-diffusion systems. Zbl 07856315
Clavero, C.; Jorge, J. C.
2
2024
Long-time behavior for fourth order nonlinear wave equations with dissipative and dispersive terms. Zbl 1541.35068
Wang, Xingchang; Xu, Runzhang; Yang, Yanbing
2
2024
On solving some Cauchy singular integral equations by de la Vallée Poussin filtered approximation. Zbl 1539.65204
Occorsio, Donatella; Russo, Maria Grazia; Themistoclakis, Woula
2
2024
Finite element analysis of extended Fisher-Kolmogorov equation with Neumann boundary conditions. Zbl 07859292
Al-Musawi, Ghufran A.; Harfash, Akil J.
2
2024
Sobolev orthogonal polynomials and spectral methods in boundary value problems. Zbl 1540.42047
Fernández, Lidia; Marcellán, Francisco; Pérez, Teresa E.; Piñar, Miguel A.
2
2024
Weak approximation schemes for SDEs with super-linearly growing coefficients. Zbl 07856300
Zhao, Yuying; Wang, Xiaojie
2
2024
Unconditional energy-stable method for the Swift-Hohenberg equation over arbitrarily curved surfaces with second-order accuracy. Zbl 07856301
Xia, Binhu; Xi, Xiaojian; Yu, Rongrong; Zhang, Peijun
2
2024
Explicit high accuracy energy-preserving Lie-group sine pseudo-spectral methods for the coupled nonlinear Schrödinger equation. Zbl 07763845
Yin, Fengli; Fu, Yayun
2
2024
Explicit two-step peer methods with reused stages. Zbl 07763849
Calvo, M.; Montijano, J. I.; Rández, L.; Saenz-de-la-Torre, A.
2
2024
A projection-based hybrid PRP-DY type conjugate gradient algorithm for constrained nonlinear equations with applications. Zbl 1543.65071
Li, Dandan; Wang, Songhua; Li, Yong; Wu, Jiaqi
2
2024
Accelerated primal-dual methods with adaptive parameters for composite convex optimization with linear constraints. Zbl 07885879
He, Xin
2
2024
Improved higher-order finite volume scheme and its convergence analysis for collisional breakage equation. Zbl 1535.65153
Das, Arijit; Kushwah, Prakrati; Saha, Jitraj; Singh, Mehakpreet
1
2024
Shape optimization of Stokes flows by a penalty method. Zbl 1549.76074
Yang, Hui; Zhu, Shengfeng
1
2024
Fitted finite element methods for singularly perturbed elliptic problems of convection-diffusion type. Zbl 1548.65299
Hegarty, A. F.; O’Riordan, E.
1
2024
An interwoven composite tailored finite point method for two dimensional unsteady Burgers’ equation. Zbl 1547.65117
Sreelakshmi, A.; Shyaman, V. P.; Awasthi, Ashish
1
2024
A well-balanced positivity-preserving multidimensional central scheme for shallow water equations. Zbl 07827760
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Numerical analysis of a second-order energy-stable finite element method for the Swift-Hohenberg equation. Zbl 07827761
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1
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Integrating factor techniques applied to the Schrödinger-like equations: comparison with split-step methods. Zbl 07827768
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L-stable spectral deferred correction methods and applications to phase field models. Zbl 07827770
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A space-time Petrov-Galerkin method for the two-dimensional regularized long-wave equation. Zbl 07856306
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Iterative method for constrained systems of conjugate transpose matrix equations. Zbl 07856316
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The Schrödinger-Korteweg-de Vries system on the half-line. Zbl 1548.35237
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Particle trajectories in a weakly nonlinear long-wave model on a shear flow. Zbl 1545.76016
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1
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Construction and analysis of a discrete heat equation using dynamic consistency: the meso-scale limit. Zbl 07856326
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1
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Central part interpolation schemes for fractional differential equations. Zbl 1540.65560
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Numerical schemes for a class of singular fractional integro-differential equations. Zbl 1540.65557
Lätt, Kaido; Pedas, Arvet
1
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A long-time behavior preserving numerical scheme for age-of-infection epidemic models with heterogeneous mixing. Zbl 1537.92131
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1
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Location, separation and approximation of solutions of nonlinear Hammerstein-type integral equations. Zbl 07856289
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Hybrid mixed discontinuous Galerkin finite element method for incompressible miscible displacement problem. Zbl 07856296
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1
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On the construction of diagonally implicit two-step peer methods with RK stability. Zbl 07856297
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1
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Extragradient algorithms for solving equilibrium problems on Hadamard manifolds. Zbl 1548.90467
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1
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Numerical analysis of finite element method for a stochastic active fluids model. Zbl 07859302
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An innovative Fibonacci wavelet collocation method for the numerical approximation of Emden-Fowler equations. Zbl 07859309
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A perturbed twofold saddle point-based mixed finite element method for the Navier-Stokes equations with variable viscosity. Zbl 1542.65109
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Numerical simulation of nonlinear fractional delay differential equations with Mittag-Leffler kernels. Zbl 1545.65276
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Weak imposition of boundary conditions for the boundary element method in the time domain. Zbl 07856352
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Spectra of evolution operators of a class of neutral renewal equations: theoretical and numerical aspects. Zbl 07856357
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A tensor formalism for multilayer network centrality measures using the Einstein product. Zbl 1540.68174
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Matrix-oriented FEM formulation for reaction-diffusion PDEs on a large class of 2D domains. Zbl 07856367
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Some notes on the trapezoidal rule for Fourier type integrals. Zbl 07856299
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1
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Collocation and modified collocation methods for solving second kind Fredholm integral equations in weighted spaces. Zbl 07856302
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A three level linearized compact difference scheme for a fourth-order reaction-diffusion equation. Zbl 1528.65040
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Accelerated greedy randomized augmented Kaczmarz algorithm for inconsistent linear systems. Zbl 07763853
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A new class of quadrature rules for estimating the error in Gauss quadrature. Zbl 1546.65018
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Numerical threshold stability of a nonlinear age-structured reaction diffusion heroin transmission model. Zbl 1542.92167
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Approximation of the Hilbert transform on the half-line. Zbl 1546.65145
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Optimal error estimates of a non-uniform IMEX-L1 finite element method for time fractional PDEs and PIDEs. Zbl 1543.65162
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\(\hat{A}\)- and \(\hat{I}\)-stability of Runge-Kutta collocation methods. Zbl 1543.65111
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Two one-parameter families of nonconforming enrichments of the Crouzeix-Raviart finite element. Zbl 1543.65197
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Lowest-degree robust finite element schemes for inhomogeneous bi-Laplace problems. Zbl 1543.65183
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Analysis of a line method for reaction-diffusion models of nonlocal type. Zbl 07885887
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A preserving accuracy two-grid reduced-dimensional Crank-Nicolson mixed finite element method for nonlinear wave equation. Zbl 07885855
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Difference potentials method for the nonlinear convection-diffusion equation with interfaces. Zbl 07885869
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Algebraically stable high-order multi-physical property-preserving methods for the regularized long-wave equation. Zbl 07885880
Li, Xin; Hu, Xiuling
1
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Numerical simulation for an initial-boundary value problem of time-fractional Klein-Gordon equations. Zbl 07944856
Odibat, Zaid
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A posteriori error estimates for fully discrete finite difference method for linear parabolic equations. Zbl 07944862
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1
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Unconditionally energy stable high-order BDF schemes for the molecular beam epitaxial model without slope selection. Zbl 07944865
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A macro BDM H-div mixed finite element on polygonal and polyhedral meshes. Zbl 07944869
Xu, Xuejun; Ye, Xiu; Zhang, Shangyou
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A localized meshless technique for solving 2D nonlinear integro-differential equation with multi-term kernels. Zbl 1500.65082
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On convergence rates of Kaczmarz-type methods with different selection rules of working rows. Zbl 07699043
Bai, Zhong-Zhi; Wang, Lu
10
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Effect of an efficient numerical integration technique on the element-free Galerkin method. Zbl 1528.65115
Li, Xiaolin; Li, Shuling
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A second order fractional step hybrid numerical algorithm for time delayed singularly perturbed 2D convection-diffusion problems. Zbl 07705793
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Implicit and semi-implicit well-balanced finite-volume methods for systems of balance laws. Zbl 1506.65135
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Analysis of a splitting scheme for a class of nonlinear stochastic Schrödinger equations. Zbl 1545.65030
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A splitting uniformly convergent method for one-dimensional parabolic singularly perturbed convection-diffusion systems. Zbl 07603743
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A second-order unconditionally stable method for the anisotropic dendritic crystal growth model with an orientation-field. Zbl 1505.65257
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A unified enrichment approach of the standard three-node triangular element. Zbl 1528.65068
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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
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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
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On the improvement of the triangular Shepard method by non conformal polynomial elements. Zbl 07630344
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Pointwise error analysis of the BDF3 compact finite difference scheme for viscous Burgers’ equations. Zbl 07699009
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7
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An adaptive time-stepping DLN decoupled algorithm for the coupled Stokes-Darcy model. Zbl 1517.76049
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6
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Fast parallel-in-time quasi-boundary value methods for backward heat conduction problems. Zbl 1510.65229
Jiang, Yi; Liu, Jun
6
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An all Froude high order IMEX scheme for the shallow water equations on unstructured Voronoi meshes. Zbl 07699012
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6
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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
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High-order unconditionally maximum-principle-preserving parametric integrating factor Runge-Kutta schemes for the nonlocal Allen-Cahn equation. Zbl 07763842
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Two block preconditioners for a class of double saddle point linear systems. Zbl 1521.65027
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A maximum bound principle preserving iteration technique for a class of semilinear parabolic equations. Zbl 1505.65246
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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
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A linear Galerkin numerical method for a quasilinear subdiffusion equation. Zbl 07699006
Płociniczak, Łukasz
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Variable-time-step BDF2 nonconforming VEM for coupled Ginzburg-Landau equations. Zbl 07699047
Li, Meng; Wang, Lingli; Wang, Nan
5
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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
4
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On multi-step randomized extended Kaczmarz method for solving large sparse inconsistent linear systems. Zbl 1526.65005
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4
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High-order, unconditionally maximum-principle preserving finite element method for the Allen-Cahn equation. Zbl 07705779
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4
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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
4
2023
Generalized TASE-RK methods for stiff problems. Zbl 07705784
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311 Dehghan Takht Fooladi, Mehdi
182 Simos, Theodore E.
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89 Abbaszadeh, Mostafa
89 Feng, Xinlong
86 Liu, Fawang
86 Zhang, Chengjian
85 Chen, Yanping
82 Băleanu, Dumitru I.
81 Jackiewicz, Zdzislaw
79 Huang, Chengming
77 Wu, Xinyuan
77 Xu, Da
76 Li, Xiaolin
76 Zaky, Mahmoud A.
72 Wang, Hong
71 Li, Hong
70 Dumbser, Michael
70 Wang, Wansheng
68 Jbilou, Khalide
68 Luo, Zhendong
67 Huang, Yunqing
67 Kim, Junseok
67 Ordokhani, Yadollah
64 He, Xiaoming
64 Liu, Yang
64 Zhang, Zhimin
62 Nordström, Jan
62 Qiu, Jianxian
61 D’Ambrosio, Raffaele
61 Sun, Zhizhong
60 Heydari, Mohammad Hossein
60 Huang, Ting-Zhu
60 Paternoster, Beatrice
60 Xiao, Aiguo
60 Zhang, Shangyou
58 Codina, Ramon
58 Ma, Changfeng
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56 Bhrawy, Ali Hassan
56 Hendy, Ahmed S.
56 Jiang, Yaolin
56 Mei, Liquan
55 Abdi, Ali
55 Doha, Eid H.
54 Avazzadeh, Zakieh
54 Vong, Seakweng
53 Karniadakis, George Em
52 Harbrecht, Helmut
51 Rui, Hongxing
51 Shang, Yueqiang
51 Weiner, Rüdiger
50 Baccouch, Mahboub
50 Huang, Pengzhan
50 Yang, Xuehua
50 Zhao, Jingjun
49 Turner, Ian William
49 Wang, Yushun
49 Yang, Xiaofeng
48 Brugnano, Luigi
48 Zhang, Haixiang
47 Li, Jian
47 Zhang, Guofeng
46 Hojjati, Gholamreza
46 Hou, Yanren
46 Praetorius, Dirk
45 Burman, Erik
45 Qiu, Wenlin
45 Xu, Yang
44 Ramos, Higinio
44 Roul, Pradip
44 Zhang, Jiwei
44 Zhu, Jun
43 Macías-Díaz, Jorge Eduardo
43 Natesan, Srinivasan
42 Benner, Peter
42 Brezinski, Claude
42 Ding, Xiaohua
42 Siraj-ul-Islam
42 Song, Songhe
42 Wang, Bin
41 Conte, Dajana
41 Gander, Martin Jakob
41 Ostermann, Alexander
41 Tsitouras, Charalampos
40 Marcellán Español, Francisco
40 Nguyen Huy Tuan
40 Sandu, Adrian
40 Shen, Jie
40 Sun, Haiwei
40 Wohlmuth, Barbara I.
39 Abbasbandy, Saeid
39 Amat Plata, Sergio
39 Burrage, Kevin
39 Chen, Zhangxin
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