# zbMATH — the first resource for mathematics

## 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: 4,052 Publications (since 1985) References Indexed: 3,742 Publications with 99,431 References.
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#### Latest Issues

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#### Authors

 31 Dehghan Takht Fooladi, Mehdi 31 Jackiewicz, Zdzislaw 28 Weiner, Rüdiger 27 Butcher, John C. 20 Reichel, Lothar 20 van der Houwen, Pieter J. 19 Sommeijer, Ben P. 19 Verwer, Jan G. 18 Brezinski, Claude 15 Zhang, Chengjian 14 Baccouch, Mahboub 14 Brugnano, Luigi 14 Flaherty, Joseph E. 13 Băleanu, Dumitru I. 13 Burrage, Kevin 13 Li, Zi-Cai 13 Schmitt, Bernhard A. 12 Oosterlee, Cornelis Willebrordus 12 Ostermann, Alexander 12 Paternoster, Beatrice 12 Turkel, Eli L. 11 Abbaszadeh, Mostafa 11 Abdi, Ali 11 Redivo-Zaglia, Michela 10 Boyd, John Philip 10 D’Ambrosio, Raffaele 10 Ferreira, José Augusto 10 González-Vera, Pablo 10 in ’t Hout, Karel J. 10 Macías-Díaz, Jorge Eduardo 10 Mei, Liquan 10 Nordström, Jan 10 Petzold, Linda Ruth 10 Shampine, Lawrence Fred 10 Stephan, Ernst Peter 10 Trigiante, Donato 10 Wu, Xinyuan 9 Arnold, Martin 9 Bai, Zhongzhi 9 Berzins, Martin 9 Blanes, Sergio 9 Günther, Michael 9 Guo, Ben-Yu 9 Hojjati, Gholamreza 9 Huang, Hung-Tsai 9 Hundsdorfer, Willem H. 9 Jorge, Juan Carlos 9 Lima, Pedro Miguel 9 Mikula, Karol 9 Podhaisky, Helmut 9 Shen, Jie 9 Shi, Dongyang 9 Stynes, Martin 9 Wang, Yuanming 8 Baker, Christopher T. H. 8 Brunner, Hermann 8 Calvo, M. P. 8 Cano, Begoña 8 Cao, Zhihao 8 Chen, Yanping 8 Copetti, Maria Inês M. 8 Feldstein, Alan 8 Huang, Chengming 8 Jbilou, Khalide 8 Jimack, Peter K. 8 Mazzia, Francesca 8 O’Riordan, Eugene 8 Pulch, Roland 8 Roul, Pradip 8 Sanz-Serna, Jesús María 8 Shu, Chi-Wang 8 Spijker, Marc N. 8 Spitaleri, Rosa Maria 8 Strehmel, Karl 8 Tsynkov, Semyon V. 8 Van Daele, Marnix 8 Vanden Berghe, Guido 8 Vuik, Cornelis 8 Xiao, Aiguo 8 Zaky, Mahmoud A. 8 Zennaro, Marino 8 Zhao, Jingjun 7 Alonso-Mallo, Isaías 7 Biswas, Rupak 7 Bürger, Raimund 7 Chen, Jinru 7 Fernández, Jose Ramon 7 Ford, Neville J. 7 Forsyth, Peter A. 7 Gladwell, Ian 7 Hadjidimos, Apostolos 7 Hairer, Ernst 7 He, Yinnian 7 Higham, Desmond J. 7 Iserles, Arieh 7 Jung, Jae-Hun 7 Li, Xiaoli 7 Maischak, Matthias 7 Meister, Andreas 7 Pasadas, Miguel ...and 5,222 more Authors
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#### Fields

 3,445 Numerical analysis (65-XX) 1,316 Partial differential equations (35-XX) 612 Fluid mechanics (76-XX) 611 Ordinary differential equations (34-XX) 215 Integral equations (45-XX) 175 Mechanics of deformable solids (74-XX) 157 Approximations and expansions (41-XX) 125 Optics, electromagnetic theory (78-XX) 117 Operations research, mathematical programming (90-XX) 112 Probability theory and stochastic processes (60-XX) 103 Biology and other natural sciences (92-XX) 101 Dynamical systems and ergodic theory (37-XX) 100 Calculus of variations and optimal control; optimization (49-XX) 79 Real functions (26-XX) 78 Linear and multilinear algebra; matrix theory (15-XX) 66 Classical thermodynamics, heat transfer (80-XX) 63 General and overarching topics; collections (00-XX) 63 Geophysics (86-XX) 60 Special functions (33-XX) 54 Statistical mechanics, structure of matter (82-XX) 52 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 50 Harmonic analysis on Euclidean spaces (42-XX) 45 Computer science (68-XX) 44 Mechanics of particles and systems (70-XX) 43 Operator theory (47-XX) 42 Information and communication theory, circuits (94-XX) 36 Functions of a complex variable (30-XX) 33 Systems theory; control (93-XX) 27 Quantum theory (81-XX) 24 Sequences, series, summability (40-XX) 22 Integral transforms, operational calculus (44-XX) 13 History and biography (01-XX) 13 Difference and functional equations (39-XX) 12 Statistics (62-XX) 9 Number theory (11-XX) 8 Potential theory (31-XX) 7 Differential geometry (53-XX) 6 Field theory and polynomials (12-XX) 6 Functional analysis (46-XX) 5 Astronomy and astrophysics (85-XX) 4 Combinatorics (05-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Topological groups, Lie groups (22-XX) 3 Relativity and gravitational theory (83-XX) 1 Commutative algebra (13-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX)

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3,125 Publications have been cited 29,358 times in 20,631 Documents Cited by Year
A fully discrete difference scheme for a diffusion-wave system. Zbl 1094.65083
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2006
Finite difference approximations for two-sided space-fractional partial differential equations. Zbl 1086.65087
2006
Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations. Zbl 0896.65061
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Numerical solution of problems on unbounded domains. A review. Zbl 0939.76077
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Strong contractivity properties of numerical methods for ordinary and delay differential equations. Zbl 0749.65042
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Additive Runge-Kutta schemes for convection-diffusion-reaction equations. Zbl 1013.65103
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2003
Mathematical and numerical models for coupling surface and groundwater flows. Zbl 1023.76048
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2002
Parallel, adaptive finite element methods for conservation laws. Zbl 0826.65084
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BoomerAMG: A parallel algebraic multigrid solver and preconditioner. Zbl 0995.65128
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2002
Solving DDEs in Matlab. Zbl 0983.65079
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2001
Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws. Zbl 1038.65096
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2004
Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method. Zbl 1316.65099
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2012
The immersed interface method using a finite element formulation. Zbl 0936.65091
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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
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2009
Absorbing PML boundary layers for wave-like equations. Zbl 0933.35188
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1998
Low-storage, explicit Runge-Kutta schemes for the compressible Navier-Stokes equations. Zbl 0986.76060
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2000
Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems. Zbl 1012.65136
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2002
Global FOM and GMRES algorithms for matrix equations. Zbl 0935.65024
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1999
On a class of preconditioners for solving the Helmholtz equation. Zbl 1051.65101
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2004
On large time-stepping methods for the Cahn-Hilliard equation. Zbl 1118.65109
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2007
A finite difference scheme for partial integro-differential equations with a weakly singular kernel. Zbl 0768.65093
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1993
Efficient techniques for the second-order parabolic equation subject to nonlocal specifications. Zbl 1063.65079
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2005
Some results on uniformly high-order accurate essentially nonoscillatory schemes. Zbl 0627.65101
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1986
Runge-Kutta(-Nyström) methods for ODEs with periodic solutions based on trigonometric polynomials. Zbl 0927.65097
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1998
Review of preconditioning methods for fluid dynamics. Zbl 0770.76048
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1993
A comparative study of sparse approximate inverse preconditioners. Zbl 0949.65043
Benzi, Michele; Tuma, Miroslav
1999
An algebraic theory for primal and dual substructuring methods by constraints. Zbl 1076.65100
Mandel, Jan; Dohrmann, Clark R.; Tezaur, Radek
2005
Chebyshev tau-QZ algorithm methods for calculating spectra of hydrodynamic stability problems. Zbl 0867.76025
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1996
Several new numerical methods for compressible shear-layer simulations. Zbl 0804.76062
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1994
Optimal a priori estimates for higher order finite elements for elliptic interface problems. Zbl 1208.65168
Li, Jingzhi; Melenk, Jens Markus; Wohlmuth, Barbara; Zou, Jun
2010
A meshless based method for solution of integral equations. Zbl 1202.65174
Mirzaei, Davoud; Dehghan, Mehdi
2010
A study of orthonormal multi-wavelets. Zbl 0877.65098
Chui, Charles K.; Lian, Jian-ao
1996
High strong order explicit Runge-Kutta methods for stochastic ordinary differential equations. Zbl 0868.65101
Burrage, K.; Burrage, P. M.
1996
A stabilized finite element method based on local polynomial pressure projection for the stationary Navier-Stokes equations. Zbl 1155.35406
He, Yinnian; Li, Jian
2008
The midpoint upwind scheme. Zbl 0877.65055
Stynes, Martin; Roos, Hans-Görg
1997
A weighted finite difference method for the fractional diffusion equation based on the Riemann-Liouville derivative. Zbl 1326.65111
Sousa, Ercília; Li, Can
2015
Restoring particle consistency in smoothed particle hydrodynamics. Zbl 1329.76285
Liu, M. B.; Liu, G. R.
2006
New methods for oscillatory systems based on ARKN methods. Zbl 1096.65068
Franco, J. M.
2006
Meshless local Petrov-Galerkin (MLPG) method for the unsteady magnetohydrodynamic (MHD) flow through pipe with arbitrary wall conductivity. Zbl 1159.76034
Dehghan, Mehdi; Mirzaei, Davoud
2009
Adaptive radial basis function methods for time dependent partial differential equations. Zbl 1069.65109
Sarra, Scott A.
2005
Block triangular preconditioners for symmetric saddle-point problems. Zbl 1053.65033
Simoncini, V.
2004
Diagonally-implicit multi-stage integration methods. Zbl 0773.65046
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1993
Exponential Runge-Kutta methods for parabolic problems. Zbl 1070.65099
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2005
A formulation of asymptotic and exact boundary conditions using local operators. Zbl 0924.35167
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1998
Linearly implicit Runge-Kutta methods for advection-reaction-diffusion equations. Zbl 0983.65106
Calvo, M. P.; de Frutos, J.; Novo, J.
2001
High order Runge-Kutta methods on manifolds. Zbl 0934.65077
Munthe-Kaas, Hans
1999
On the stability of implicit-explicit linear multistep methods. Zbl 0887.65094
Frank, J.; Hundsdorfer, W.; Verwer, J. G.
1997
A cut finite element method for a Stokes interface problem. Zbl 1299.76136
Hansbo, Peter; Larson, Mats G.; Zahedi, Sara
2014
Efficient spectral-Galerkin algorithms for direct solution of fourth-order differential equations using Jacobi polynomials. Zbl 1152.65112
Doha, Eid H.; Bhrawy, Ali H.
2008
Discontinuous Galerkin methods for coupled flow and reactive transport problems. Zbl 1079.76584
Sun, Shuyu; Wheeler, Mary F.
2005
An improved collocation method for multi-dimensional space-time variable-order fractional Schrödinger equations. Zbl 1353.65106
Bhrawy, A. H.; Zaky, M. A.
2017
Analysis of a stabilized finite element approximation of the Oseen equations using orthogonal subscales. Zbl 1144.76029
Codina, Ramon
2008
Numerical valuation of options with jumps in the underlying. Zbl 1117.91028
Almendral, Ariel; Oosterlee, Cornelis W.
2005
Multisymplectic box schemes and the Korteweg-de Vries equation. Zbl 1038.65138
Ascher, Uri M.; McLachlan, Robert I.
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
2014
Fourth-order alternating direction implicit compact finite difference schemes for two-dimensional Schrödinger equations. Zbl 1221.65220
Gao, Zhen; Xie, Shusen
2011
Discrete multi-resolution analysis and generalized wavelets. Zbl 0777.65004
Harten, Ami
1993
A dimensional split preconditioner for Stokes and linearized Navier-Stokes equations. Zbl 1302.65074
Benzi, Michele; Guo, Xue-Ping
2011
An affine scaling trust-region approach to bound-constrained nonlinear systems. Zbl 1018.65067
Bellavia, Stefania; Macconi, Maria; Morini, Benedetta
2003
On the rotation and skew-symmetric forms for incompressible flow simulations. Zbl 0708.76071
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1991
Meshless Galerkin algorithms for boundary integral equations with moving least square approximations. Zbl 1232.65160
Li, Xiaolin
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.
2000
A moving least square reproducing polynomial meshless method. Zbl 1284.65137
Salehi, Rezvan; Dehghan, Mehdi
2013
Preconditioners for saddle point problems arising in computational fluid dynamics. Zbl 1168.76348
Elman, Howard C.
2002
The effect of the formulation of nonlinear terms on aliasing errors in spectral methods. Zbl 0858.76060
Blaisdell, G. A.; Spyropoulos, E. T.; Qin, J. H.
1996
Efficient and accurate spectral method using generalized Jacobi functions for solving Riesz fractional differential equations. Zbl 1382.65222
Mao, Zhiping; Chen, Sheng; Shen, Jie
2016
Adjoint operators for the natural discretizations of the divergence, gradient and curl on logically rectangular grids. Zbl 1005.65024
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1997
Error estimates for the finite point method. Zbl 1145.65086
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2008
ROWMAP – a ROW-code with Krylov techniques for large stiff ODEs. Zbl 0895.65035
Weiner, R.; Schmitt, B. A.; Podhaisky, H.
1997
Overlapping domain decomposition method by radial basis functions. Zbl 1013.65134
Zhou, X.; Hon, Y. C.; Li, Jichun
2003
On the numerical inversion of the Laplace transform of certain holomorphic mappings. Zbl 1059.65120
López-Fernández, M.; Palencia, C.
2004
A nonstandard finite-difference scheme for the Lotka–Volterra system. Zbl 1025.65047
Mickens, Ronald E.
2003
A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations. Zbl 1123.65040
An, Heng-Bin; Bai, Zhong-Zhi
2007
Quasi-orthogonality with applications to some families of classical orthogonal polynomials. Zbl 1047.33002
Brezinski, C.; Driver, K. A.; Redivo-Zaglia, M.
2004
Laguerre matrix polynomials and systems of second-order differential equations. Zbl 0821.34010
Jódar, L.; Company, R.; Navarro, E.
1994
ADI schemes for higher-order nonlinear diffusion equations. Zbl 1061.76051
Witelski, T. P.; Bowen, M.
2003
Optimal implicit strong stability preserving Runge-Kutta methods. Zbl 1157.65046
Ketcheson, David I.; Macdonald, Colin B.; Gottlieb, Sigal
2009
Positive stable block triangular preconditioners for symmetric saddle point problems. Zbl 1118.65021
Cao, Zhi-Hao
2007
A class of discontinuous Petrov-Galerkin methods. III: Adaptivity. Zbl 1316.76047
Demkowicz, Leszek; Gopalakrishnan, Jay; Niemi, Antti H.
2012
Explicit Runge-Kutta methods for parabolic partial differential equations. Zbl 0868.65064
Verwer, J. G.
1996
Parallel adaptive $$hp$$-refinement techniques for conservation laws. Zbl 0860.65095
Devine, Karen D.; Flaherty, Joseph E.
1996
Stability of ADI schemes applied to convection–diffusion equations with mixed derivative terms. Zbl 1175.65104
in ’t Hout, K. J.; Welfert, B. D.
2007
A high order, progressive method for the evaluation of irregular oscillatory integrals. Zbl 0906.65024
Evans, G. A.; Webster, J. R.
1997
Multistep collocation methods for Volterra integral equations. Zbl 1172.65069
Conte, D.; Paternoster, B.
2009
Fourierization of the Legendre-Galerkin method and a new space-time spectral method. Zbl 1118.65111
Shen, Jie; Wang, Li-Lian
2007
A trigonometrically fitted explicit Numerov-type method for second-order initial value problems with oscillating solutions. Zbl 1136.65068
Fang, Yonglei; Wu, Xinyuan
2008
Wavelet-Galerkin method for integro-differential equations. Zbl 0955.65100
Avudainayagam, A.; Vani, C.
2000
Error estimates for the moving least-square approximation and the element-free Galerkin method in $$n$$-dimensional spaces. Zbl 1329.65274
Li, Xiaolin
2016
Determination of a control parameter in the two-dimensional diffusion equation. Zbl 0982.65103
Dehghan, Mehdi
2001
Geometrical image segmentation by the Allen-Cahn equation. Zbl 1055.94502
Beneš, Michal; Chalupecký, Vladimír; Mikula, Karol
2004
Strong stability of singly-diagonally-implicit Runge-Kutta methods. Zbl 1153.65080
Ferracina, L.; Spijker, M. N.
2008
Unconditional stability of second-order ADI schemes applied to multi-dimensional diffusion equations with mixed derivative terms. Zbl 1161.65073
in ’t Hout, K. J.; Welfert, B. D.
2009
Generalized Jacobi polynomials/functions and their applications. Zbl 1171.33006
Guo, Ben-Yu; Shen, Jie; Wang, Li-Lian
2009
Direct meshless local Petrov-Galerkin (DMLPG) method: A generalized MLS approximation. Zbl 1263.65118
Mirzaei, Davoud; Schaback, Robert
2013
A new Jacobi rational-Gauss collocation method for numerical solution of generalized pantograph equations. Zbl 1302.65175
Doha, E. H.; Bhrawy, A. H.; Baleanu, D.; Hafez, R. M.
2014
Finite volume methods, unstructured meshes and strict stability for hyperbolic problems. Zbl 1019.65066
Nordström, Jan; Forsberg, Karl; Adamsson, Carl; Eliasson, Peter
2003
Fast Uzawa algorithm for generalized saddle point problems. Zbl 1032.65029
Cao, Zhi-Hao
2003
On the construction and analysis of absorbing layers in CEM. Zbl 0924.35160
Abarbanel, Saul; Gottlieb, David
1998
Approximate sparsity patterns for the inverse of a matrix and preconditioning. Zbl 0927.65045
Huckle, Thomas
1999
Validated solutions of initial value problems for parametric ODEs. Zbl 1121.65084
2007
A high-order accurate finite difference scheme for the KdV equation with time-periodic boundary forcing. Zbl 1459.76094
Wang, Xiaofeng; Dai, Weizhong; Usman, Muhammad
2021
Sharp error estimate of a compact $$L1$$-ADI scheme for the two-dimensional time-fractional integro-differential equation with singular kernels. Zbl 1459.65160
Wang, Zhibo; Cen, Dakang; Mo, Yan
2021
A meshless method for time fractional nonlinear mixed diffusion and diffusion-wave equation. Zbl 1459.65137
Bhardwaj, Akanksha; Kumar, Alpesh
2021
An efficient dissipation-preserving Legendre-Galerkin spectral method for the Higgs boson equation in the de Sitter spacetime universe. Zbl 1458.35411
Zaky, Mahmoud A.; Hendy, Ahmed S.
2021
Efficient numerical algorithms for Riesz-space fractional partial differential equations based on finite difference/operational matrix. Zbl 07310817
Srivastava, Nikhil; Singh, Aman; Kumar, Yashveer; Singh, Vineet Kumar
2021
Moving least squares and spectral collocation method to approximate the solution of stochastic Volterra-Fredholm integral equations. Zbl 07310818
Mirzaee, Farshid; Solhi, Erfan; Samadyar, Nasrin
2021
The power method and beyond. Zbl 1460.65038
Bai, Zhong-Zhi; Wu, Wen-Ting; Muratova, Galina V.
2021
A modified modulus-based multigrid method for linear complementarity problems arising from free boundary problems. Zbl 1460.65155
Zhang, Li-Li; Ren, Zhi-Ru
2021
A randomized exponential canonical correlation analysis method for data analysis and dimensionality reduction. Zbl 07316821
Wu, Gang; Li, Fei
2021
Convergence analysis of weak Galerkin flux-based mixed finite element method for solving singularly perturbed convection-diffusion-reaction problem. Zbl 1459.65221
Gharibi, Zeinab; Dehghan, Mehdi
2021
Analysis of versions of relaxed inertial projection and contraction method. Zbl 1466.49015
Shehu, Yekini; Liu, Lulu; Mu, Xuewen; Dong, Qiao-Li
2021
Explicit pseudo-transient continuation and the trust-region updating strategy for unconstrained optimization. Zbl 07354390
Luo, Xin-long; Xiao, Hang; Lv, Jia-hui; Zhang, Sen
2021
A new representation of generalized averaged Gauss quadrature rules. Zbl 1465.65023
Reichel, Lothar; Spalević, Miodrag M.
2021
Novel operational matrices for solving 2-dim nonlinear variable order fractional optimal control problems via a new set of basis functions. Zbl 1466.49023
2021
Shifted fifth-kind Chebyshev Galerkin treatment for linear hyperbolic first-order partial differential equations. Zbl 07361709
Atta, A. G.; Abd-Elhameed, W. M.; Moatimid, G. M.; Youssri, Y. H.
2021
A parallel stabilized finite element variational multiscale method based on fully overlapping domain decomposition for the incompressible Navier-Stokes equations. Zbl 1459.65228
Zheng, Bo; Y. Q. Shang, Yueqiang
2021
A numerical method for two-dimensional multi-term time-space fractional nonlinear diffusion-wave equations. Zbl 1459.65145
2021
A unified spectral collocation method for nonlinear systems of multi-dimensional integral equations with convergence analysis. Zbl 1459.65250
Zaky, Mahmoud A.; Ameen, Ibrahem G.; Elkot, Nermeen A.; Doha, Eid H.
2021
A spectral collocation method for solving fractional KdV and KdV-Burgers equations with non-singular kernel derivatives. Zbl 1457.76114
2021
An hp-version of the discontinuous Galerkin time-stepping method for Volterra integral equations with weakly singular kernels. Zbl 1459.65249
Wang, Lina; Tian, Hongjiong; Yi, Lijun
2021
Orthonormal shifted discrete Legendre polynomials for solving a coupled system of nonlinear variable-order time fractional reaction-advection-diffusion equations. Zbl 1461.65246
Heydari, M. H.; Avazzadeh, Z.; Atangana, A.
2021
Higher order pathwise approximation for the stochastic Burgers’ equation with additive noise. Zbl 07311179
Khan, Feroz
2021
A fourth-order least-squares based reproducing kernel method for one-dimensional elliptic interface problems. Zbl 1460.65095
Xu, Minqiang; Zhang, Lufang; Tohidi, Emran
2021
Optimal superconvergence and asymptotically exact a posteriori error estimator for the local discontinuous Galerkin method for linear elliptic problems on Cartesian grids. Zbl 1458.65144
Baccouch, Mahboub
2021
A least squares-based approach to evaluating strongly singular integrals. Zbl 1460.65021
Castejón Lafuente, A.; Illán González, J. R.
2021
Fast spectral Petrov-Galerkin method for fractional elliptic equations. Zbl 1458.65155
Hao, Zhaopeng; Zhang, Zhongqiang
2021
A conjugate gradient algorithm for large-scale nonlinear equations and image restoration problems. Zbl 1433.90165
Yuan, Gonglin; Li, Tingting; Hu, Wujie
2020
Investigation of the Oldroyd model as a generalized incompressible Navier-Stokes equation via the interpolating stabilized element free Galerkin technique. Zbl 1444.76083
2020
The PRP conjugate gradient algorithm with a modified WWP line search and its application in the image restoration problems. Zbl 07173158
Yuan, Gonglin; Lu, Junyu; Wang, Zhan
2020
An alternating direction implicit orthogonal spline collocation method for the two dimensional multi-term time fractional integro-differential equation. Zbl 1439.65229
Qiao, Leijie; Wang, Zhibo; Xu, Da
2020
Conjugate-symplecticity properties of Euler-Maclaurin methods and their implementation on the infinity computer. Zbl 1440.65273
Iavernaro, F.; Mazzia, F.; Mukhametzhanov, M. S.; Sergeyev, Ya. D.
2020
Global consistency analysis of L1-Galerkin spectral schemes for coupled nonlinear space-time fractional Schrödinger equations. Zbl 1442.65372
Hendy, Ahmed S.; Zaky, Mahmoud A.
2020
A note on the optimal degree of the weak gradient of the stabilizer free weak Galerkin finite element method. Zbl 1440.65172
Al-Taweel, Ahmed; Wang, Xiaoshen
2020
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
2020
A stable meshfree PDE solver for source-type flows in porous media. Zbl 1440.65242
Campagna, R.; Cuomo, S.; De Marchi, S.; Perracchione, E.; Severino, G.
2020
Arbitrarily high-order energy-preserving schemes for the Camassa-Holm equation. Zbl 1439.37079
Jiang, Chaolong; Wang, Yushun; Gong, Yuezheng
2020
A fast linearized finite difference method for the nonlinear multi-term time-fractional wave equation. Zbl 1435.65128
Lyu, Pin; Liang, Yuxiang; Wang, Zhibo
2020
A reduced-order extrapolated finite difference iterative method for the Riemann-Liouville tempered fractional derivative equation. Zbl 1446.65073
Luo, Zhendong; Ren, Hulin
2020
A reduced-order extrapolated Crank-Nicolson finite spectral element method for the 2D non-stationary Navier-Stokes equations about vorticity-stream functions. Zbl 1432.65141
Luo, Zhendong; Jiang, Wenrui
2020
Bricks for the mixed high-order virtual element method: projectors and differential operators. Zbl 1437.65184
Dassi, F.; Vacca, G.
2020
An accurate spectral collocation method for nonlinear systems of fractional differential equations and related integral equations with nonsmooth solutions. Zbl 1442.65464
Zaky, Mahmoud A.
2020
Conservative limiting method for high-order bicompact schemes as applied to systems of hyperbolic equations. Zbl 1434.65176
Bragin, Michael D.; Rogov, Boris V.
2020
A local discontinuous Galerkin method for time-fractional diffusion equation with discontinuous coefficient. Zbl 1435.65159
Huang, Chaobao; An, Na; Yu, Xijun
2020
A high accuracy numerical method and its convergence for time-fractional Black-Scholes equation governing European options. Zbl 1437.91455
2020
Two fast and efficient linear semi-implicit approaches with unconditional energy stability for nonlocal phase field crystal equation. Zbl 1434.65125
Liu, Zhengguang; Li, Xiaoli
2020
The local discontinuous Galerkin finite element methods for Caputo-type partial differential equations: mathematical analysis. Zbl 1450.65125
Li, Changpin; Wang, Zhen
2020
An efficient split-step method for distributed-order space-fractional reaction-diffusion equations with time-dependent boundary conditions. Zbl 1434.65122
Kazmi, Kamran; Khaliq, Abdul Q. M.
2020
NIRK-based Cholesky-factorized square-root accurate continuous-discrete unscented Kalman filters for state estimation in nonlinear continuous-time stochastic models with discrete measurements. Zbl 07137370
Kulikov, G. Yu.; Kulikova, M. V.
2020
Analysis of local discontinuous Galerkin method for time-space fractional sine-Gordon equations. Zbl 1427.65234
2020
Optimal error estimate of elliptic problems with Dirac sources for discontinuous and enriched Galerkin methods. Zbl 1434.65242
Choi, Woocheol; Lee, Sanghyun
2020
Numerical analysis for the Cahn-Hilliard-Hele-Shaw system with variable mobility and logarithmic Flory-Huggins potential. Zbl 1434.65181
Guo, Yayu; Jia, Hongen; Li, Jichun; Li, Ming
2020
Stable discretisations of high-order discontinuous Galerkin methods on equidistant and scattered points. Zbl 1434.65180
Glaubitz, Jan; Öffner, Philipp
2020
A reduced-order extrapolated technique about the unknown coefficient vectors of solutions in the finite element method for hyperbolic type equation. Zbl 1450.65126
Luo, Zhendong; Jiang, Wenrui
2020
Two-grid methods for semilinear time fractional reaction diffusion equations by expanded mixed finite element method. Zbl 1446.65115
Li, Qingfeng; Chen, Yanping; Huang, Yunqing; Wang, Yang
2020
Projection methods with alternating inertial steps for variational inequalities: weak and linear convergence. Zbl 1445.49004
Shehu, Yekini; Iyiola, Olaniyi S.
2020
A second-order decoupled energy stable numerical scheme for Cahn-Hilliard-Hele-Shaw system. Zbl 1446.65110
Gao, Yali; Li, Rui; Mei, Liquan; Lin, Yanping
2020
Novel algorithm based on modification of Galerkin finite element method to general Rosenau-RLW equation in (2 + 1)-dimensions. Zbl 1427.65263
Tamang, N.; Wongsaijai, B.; Mouktonglang, T.; Poochinapan, K.
2020
Solution of Benjamin-Bona-Mahony-Burgers equation using collocation method with quintic Hermite splines. Zbl 1437.65164
Arora, Shelly; Jain, Rajiv; Kukreja, V. K.
2020
A virtual element method for the Laplacian eigenvalue problem in mixed form. Zbl 1442.65388
Meng, Jian; Zhang, Yongchao; Mei, Liquan
2020
A new multiscale algorithm for solving second order boundary value problems. Zbl 1442.65135
Zheng, Yaqin; Lin, Yingzhen; Shen, Yang
2020
Arbitrary high-order, conservative and positivity preserving Patankar-type deferred correction schemes. Zbl 1437.65073
Öffner, Philipp; Torlo, Davide
2020
Long-term analysis of stochastic $$\theta$$-methods for damped stochastic oscillators. Zbl 1453.65015
Citro, Vincenzo; D&rsquo;Ambrosio, Raffaele
2020
On the hexagonal Shepard method. Zbl 1453.65030
Dell&rsquo;Accio, Francesco; Di Tommaso, Filomena
2020
A multi-step scheme based on cubic spline for solving backward stochastic differential equations. Zbl 1433.60041
Teng, Long; Lapitckii, Aleksandr; Günther, Michael
2020
Solution of multi-dimensional Fredholm equations using Legendre scaling functions. Zbl 1443.45001
Singh, Harendra; Baleanu, D.; Srivastava, H. M.; Dutta, Hemen; Jha, Navin Kumar
2020
$$hp$$-version collocation method for a class of nonlinear Volterra integral equations of the first kind. Zbl 1437.65244
2020
Existence of solutions of an explicit energy-conserving scheme for a fractional Klein-Gordon-Zakharov system. Zbl 1433.65161
Macías-Díaz, J. E.
2020
A spatial fourth-order maximum principle preserving operator splitting scheme for the multi-dimensional fractional Allen-Cahn equation. Zbl 1434.65117
He, Dongdong; Pan, Kejia; Hu, Hongling
2020
The energy-preserving finite difference methods and their analyses for system of nonlinear wave equations in two dimensions. Zbl 1434.65111
Deng, Dingwen; Liang, Dong
2020
Discontinuous Galerkin method for the nonlinear Biot’s model. Zbl 1431.74108
Wen, Jing; Su, Jian; He, Yinnian; Chen, Hongbin
2020
Numerical solutions of hybrid fuzzy differential equations in a Hilbert space. Zbl 1451.65102
Gumah, G.; Naser, M. F. M.; Al-Smadi, M.; Al-Omari, S. K. Q.; Baleanu, D.
2020
A difference scheme for the time-fractional diffusion equation on a metric star graph. Zbl 1452.65171
Mehandiratta, Vaibhav; Mehra, Mani
2020
High order ADER-DG schemes for the simulation of linear seismic waves induced by nonlinear dispersive free-surface water waves. Zbl 1447.74042
Bassi, C.; Busto, S.; Dumbser, M.
2020
A joint bidiagonalization based iterative algorithm for large scale general-form Tikhonov regularization. Zbl 1452.65076
Jia, Zhongxiao; Yang, Yanfei
2020
A stable least residue method in reproducing kernel space for solving a nonlinear fractional integro-differential equation with a weakly singular kernel. Zbl 1453.65449
Du, Hong; Chen, Zhong; Yang, Tiejun
2020
Implicit Runge-Kutta and spectral Galerkin methods for the two-dimensional nonlinear Riesz space distributed-order diffusion equation. Zbl 1446.65136
Zhao, Jingjun; Zhang, Yanming; Xu, Yang
2020
On relaxed greedy randomized coordinate descent methods for solving large linear least-squares problems. Zbl 1452.65074
Zhang, Jianhua; Guo, Jinghui
2020
The lowest-order stabilizer free weak Galerkin finite element method. Zbl 1446.65156
Al-Taweel, Ahmed; Wang, Xiaoshen
2020
Spectral collocation method for nonlinear Riemann-Liouville fractional differential equations. Zbl 1452.65139
Gu, Zhendong
2020
Unconditional superconvergent analysis of a linearized finite element method for Ginzburg-Landau equation. Zbl 1427.35262
Shi, Dongyang; Liu, Qian
2020
Superconvergence analysis of two-grid finite element method for nonlinear Benjamin-Bona-Mahony equation. Zbl 07137377
Shi, Dongyang; Jia, Xu
2020
The local discontinuous Galerkin method for convection-diffusion-fractional anti-diffusion equations. Zbl 1447.65070
Bouharguane, Afaf; Seloula, Nour
2020
Numerical solutions of space-fractional advection-diffusion equations with nonlinear source term. Zbl 1436.35022
Jannelli, Alessandra; Ruggieri, Marianna; Speciale, Maria Paola
2020
Numerical methods for the nonlocal wave equation of the peridynamics. Zbl 1436.65195
Coclite, G. M.; Fanizzi, A.; Lopez, L.; Maddalena, F.; Pellegrino, S. F.
2020
Extension of the nonconforming Trefftz virtual element method to the Helmholtz problem with piecewise constant wave number. Zbl 1436.65185
Mascotto, Lorenzo; Pichler, Alexander
2020
An HJB-POD approach for the control of nonlinear PDEs on a tree structure. (A HJB-POD approach for the control of nonlinear PDEs on a tree structure.) Zbl 1437.49039
Alla, Alessandro; Saluzzi, Luca
2020
Interior penalty discontinuous Galerkin technique for solving generalized Sobolev equation. Zbl 1437.65174
2020
An efficient numerical technique for variable order time fractional nonlinear Klein-Gordon equation. Zbl 1446.65127
2020
A compact ADI scheme for two-dimensional fractional sub-diffusion equation with Neumann boundary condition. Zbl 1442.65152
Cheng, Xiujun; Qin, Hongyu; Zhang, Jiwei
2020
Structure-preserving algorithms for the two-dimensional fractional Klein-Gordon-Schrödinger equation. Zbl 1442.65219
Fu, Yayun; Cai, Wenjun; Wang, Yushun
2020
Numerical simulation of initial value problems with generalized Caputo-type fractional derivatives. Zbl 1453.65160
Odibat, Zaid; Baleanu, Dumitru
2020
A generalized collocation method in reproducing kernel space for solving a weakly singular Fredholm integro-differential equations. Zbl 1442.65467
Zhang, Xiaoguang; Du, Hong
2020
Fast compact implicit integration factor method with non-uniform meshes for the two-dimensional nonlinear Riesz space-fractional reaction-diffusion equation. Zbl 1442.65164
Jian, Huan-Yan; Huang, Ting-Zhu; Gu, Xian-Ming; Zhao, Yong-Liang
2020
Collocation methods for terminal value problems of tempered fractional differential equations. Zbl 1455.65238
Shiri, Babak; Wu, Guo-Cheng; Baleanu, Dumitru
2020
Vector rational and semi-rational rogue waves for the coupled cubic-quintic nonlinear Schrödinger system in a non-Kerr medium. Zbl 1437.35622
Du, Zhong; Tian, Bo; Qu, Qi-Xing; Wu, Xiao-Yu; Zhao, Xue-Hui
2020
Wellposedness of the two-sided variable coefficient Caputo flux fractional diffusion equation and error estimate of its spectral approximation. Zbl 07188145
Zheng, Xiangcheng; Ervin, V. J.; Wang, Hong
2020
Explicit, ninth order, two step methods for solving inhomogeneous linear problems $$x''(t)= \Lambda x(t)+f(t)$$. Zbl 1436.65085
Simos, T. E.; Tsitouras, Ch.
2020
Nonlinear stability and convergence of ERKN integrators for solving nonlinear multi-frequency highly oscillatory second-order ODEs with applications to semi-linear wave equations. Zbl 1436.65197
Liu, Changying; Wu, Xinyuan
2020
Parameter-uniform numerical treatment of singularly perturbed initial-boundary value problems with large delay. Zbl 1436.35028
Kumar, Devendra; Kumari, Parvin
2020
A fourth-order non-uniform mesh optimal B-spline collocation method for solving a strongly nonlinear singular boundary value problem describing electrohydrodynamic flow of a fluid. Zbl 1445.65028
2020
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#### Cited by 20,178 Authors

 237 Dehghan Takht Fooladi, Mehdi 134 Simos, Theodore E. 80 Shu, Chi-Wang 73 Jackiewicz, Zdzislaw 69 Zhang, Chengjian 67 He, Yinnian 61 Abbaszadeh, Mostafa 61 Wu, Xinyuan 60 Reichel, Lothar 58 Huang, Chengming 58 Liu, Fawang 56 Li, Xiaolin 54 Huang, Ting-Zhu 53 Bhrawy, Ali Hassan 52 Shi, Dongyang 52 Sun, Zhizhong 50 Codina, Ramon 50 Wang, Hong 50 Weiner, Rüdiger 46 Jbilou, Khalide 46 Luo, Zhendong 44 Feng, Xinlong 44 Ma, Changfeng 44 Xu, Da 43 Nordström, Jan 42 Brezinski, Claude 42 D’Ambrosio, Raffaele 42 Karniadakis, George Em 41 Chen, Yanping 41 Doha, Eid H. 41 Dumbser, Michael 41 Wang, Wansheng 40 Paternoster, Beatrice 40 Qiu, Jianxian 40 Xiao, Aiguo 39 He, Xiaoming 38 Brugnano, Luigi 38 Mei, Liquan 37 Harbrecht, Helmut 37 Huang, Yunqing 37 Siraj-ul-Islam 37 Turner, Ian William 36 Baccouch, Mahboub 36 Zhang, Guofeng 35 Băleanu, Dumitru I. 35 Boyd, John Philip 35 Li, Hong 35 Sandu, Adrian 34 Benner, Peter 34 Burrage, Kevin 34 Li, Shoufu 34 Macías-Díaz, Jorge Eduardo 34 Ostermann, Alexander 34 Sun, Haiwei 33 Marcellán Español, Francisco 33 Praetorius, Dirk 33 Zhao, Jingjun 32 Zhang, Zhimin 31 Burman, Erik 31 Fang, Yonglei 31 Guo, Ben-Yu 31 Hesthaven, Jan S. 31 Hou, Yanren 31 Shivanian, Elyas 31 Wohlmuth, Barbara I. 30 Amat, Sergio P. 30 Cao, Yang 30 Gan, Siqing 30 Jiang, Yaolin 30 Ordokhani, Yadollah 30 Vong, Seakweng 29 Gander, Martin Jakob 29 Li, Jian 29 Li, Zi-Cai 29 Ruiz-Baier, Ricardo 29 Wen, Liping 29 Yang, Xiaofeng 29 You, Xiong 28 Badia, Santiago 28 Gaspar, Francisco José 28 Huang, Weizhang 28 Khojasteh Salkuyeh, Davod 28 Tsynkov, Semyon V. 28 Turkel, Eli L. 28 Wang, Bin 28 Xiang, Shuhuang 28 Xu, Yang 28 Zaky, Mahmoud A. 27 Abbasbandy, Saeid 27 Abdi, Ali 27 Alolyan, Ibraheem 27 Butcher, John C. 27 Ding, Xiaohua 27 Ferreira, José Augusto 27 Jorge, Juan Carlos 27 Larson, Mats G. 27 Mohebbi, Akbar 26 Bürger, Raimund 26 Chen, Zhangxin 26 Givoli, Dan ...and 20,078 more Authors
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 1,729 Journal of Computational and Applied Mathematics 1,661 Applied Numerical Mathematics 1,506 Journal of Computational Physics 1,199 Applied Mathematics and Computation 894 Computers & Mathematics with Applications 763 Computer Methods in Applied Mechanics and Engineering 750 Journal of Scientific Computing 558 Numerical Algorithms 357 SIAM Journal on Scientific Computing 337 Computers and Fluids 324 Engineering Analysis with Boundary Elements 322 Numerische Mathematik 303 International Journal of Computer Mathematics 264 Mathematics of Computation 253 BIT 235 Applied Mathematical Modelling 226 Numerical Methods for Partial Differential Equations 221 Mathematics and Computers in Simulation 204 Computational and Applied Mathematics 187 International Journal for Numerical Methods in Engineering 185 SIAM Journal on Numerical Analysis 175 Applied Mathematics Letters 173 Advances in Computational Mathematics 173 Mathematical Problems in Engineering 166 Journal of Mathematical Analysis and Applications 156 Journal of Mathematical Chemistry 140 Linear Algebra and its Applications 135 Abstract and Applied Analysis 123 Communications in Nonlinear Science and Numerical Simulation 118 Journal of Fluid Mechanics 113 Numerical Linear Algebra with Applications 113 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 110 Advances in Difference Equations 109 Calcolo 99 International Journal for Numerical Methods in Fluids 99 Computational Mechanics 98 Mathematical and Computer Modelling 97 Mathematical Methods in the Applied Sciences 92 Computer Physics Communications 84 Numerical Functional Analysis and Optimization 76 Journal of Applied Mathematics and Computing 74 Journal of Applied Mathematics 73 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 72 Applicable Analysis 69 International Journal of Computational Methods 67 Computing 61 Inverse Problems in Science and Engineering 58 Physics of Fluids 57 Computational Optimization and Applications 56 Computational Geosciences 56 International Journal of Applied and Computational Mathematics 54 Journal of Optimization Theory and Applications 53 Nonlinear Dynamics 53 East Asian Journal on Applied Mathematics 51 Journal of Difference Equations and Applications 51 Discrete and Continuous Dynamical Systems. Series B 50 Chaos, Solitons and Fractals 48 Physica D 47 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 47 Japan Journal of Industrial and Applied Mathematics 46 Inverse Problems 45 Journal of Approximation Theory 44 SIAM Journal on Matrix Analysis and Applications 43 Computational Mathematics and Mathematical Physics 42 Nonlinear Analysis. Real World Applications 41 Mediterranean Journal of Mathematics 40 Wave Motion 40 Boundary Value Problems 38 Applied Mathematics and Mechanics. (English Edition) 38 Acta Mathematicae Applicatae Sinica. English Series 37 ETNA. Electronic Transactions on Numerical Analysis 37 Optimization Methods & Software 37 Archives of Computational Methods in Engineering 37 Foundations of Computational Mathematics 37 Science China. Mathematics 36 Communications in Numerical Methods in Engineering 36 International Journal of Numerical Methods for Heat & Fluid Flow 36 Journal of Inverse and Ill-Posed Problems 35 Computing and Visualization in Science 35 Computational Methods in Applied Mathematics 34 Journal of Integral Equations and Applications 33 Discrete Dynamics in Nature and Society 32 Journal of Mathematical Physics 31 Acta Mechanica 31 Journal of Differential Equations 31 Journal of Global Optimization 30 International Journal of Computational Fluid Dynamics 29 Journal of Engineering Mathematics 29 Bulletin of Mathematical Biology 29 Acta Applicandae Mathematicae 29 Fractional Calculus & Applied Analysis 29 Journal of Theoretical Biology 28 Journal of the Franklin Institute 28 Mathematical Biosciences 28 Journal of Numerical Mathematics 28 S$$\vec{\text{e}}$$MA Journal 27 Discrete and Continuous Dynamical Systems 27 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 27 Multiscale Modeling & Simulation 26 SIAM Journal on Applied Mathematics ...and 573 more Journals
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#### Cited in 62 Fields

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