Found 126 Documents (Results 1–100)
Numerical method for solving two-dimensional of the space and space-time fractional coupled reaction-diffusion equations. (English) Zbl 1538.65415
Numerical solution of reaction-diffusion equations with convergence analysis. (English) Zbl 1519.65044
An efficient Jacobi spectral method for variable-order time fractional 2D Wu-Zhang system. (English) Zbl 07692037
Spectral solutions for a class of nonlinear wave equations with Riesz fractional based on Legendre collocation technique. (English) Zbl 1505.65271
Pseudospectral analysis and approximation of two-dimensional fractional cable equation. (English) Zbl 1531.35362
Accuracy of spectral element method for wave, parabolic, and Schrödinger equations. (English) Zbl 1525.65094
Reviewer: Murli Gupta (Washington, D.C.)
A Legendre spectral element method for the family of regularized long wave equations. (English) Zbl 1540.65404
Jacobi spectral method for variable-order fractional Benney-Lin equation arising in falling film problems. (English) Zbl 1524.65654
A computational method for solving the system of Hamilton-Jacobi-Bellman PDEs in nonzero-sum fixed-final-time differential games. (English) Zbl 1479.91046
Optical solitons for Chen-Lee-Liu equation with two spectral collocation approaches. (English) Zbl 1478.78053
MEMS with fringing field: curvature-dependent electrostatic field and numerical techniques for recovering the membrane profile. (English) Zbl 1476.30145
A pseudo-spectral method for time distributed order two-sided space fractional differential equations. (English) Zbl 1496.65183
Accurate spectral algorithm for two-dimensional variable-order fractional percolation equations. (English) Zbl 1512.65223
New collocation scheme for solving fractional partial differential equations. (English) Zbl 1488.65506
Lie symmetry classification and numerical analysis of KdV equation with power-law nonlinearity. (English) Zbl 1524.76328
Accurate spectral algorithms for solving variable-order fractional percolation equations. (English) Zbl 1451.76089
On the monotonicity and discrete maximum principle of the finite difference implementation of \(C^0\)-\(Q^2\) finite element method. (English) Zbl 1451.65200
Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca)
Highly accurate technique for solving distributed-order time-fractional-sub-diffusion equations of fourth order. (English) Zbl 1449.65270
Superconvergence of high order finite difference schemes based on variational formulation for elliptic equations. (English) Zbl 1434.65268
Jacobi collocation methods for solving generalized space-fractional Burgers’ equations. (English) Zbl 1449.65280
Chebyshev pseudo-spectral method for optimal control problem of Burgers’ equation. (English) Zbl 1513.49014
Gegenbauer collocation algorithm for solving two-dimensional time-space fractional diffusion equations. (English) Zbl 1463.35012
Reviewer: Angela Slavova (Sofia)
Superconvergence of the direct discontinuous Galerkin method for a time-fractional initial-boundary value problem. (English) Zbl 1431.65216
Spectral technique for solving variable-order fractional Volterra integro-differential equations. (English) Zbl 1407.65211
Generalized Lagrange Jacobi Gauss-Lobatto (GLJGL) collocation method for solving linear and nonlinear Fokker-Planck equations. (English) Zbl 1402.65127
Local discontinuous Galerkin spectral method for time-fractional convection-diffusion equations. (Chinese. English summary) Zbl 1413.65438
The Bassi Rebay 1 scheme is a special case of the symmetric interior penalty formulation for discontinuous Galerkin discretisations with Gauss-Lobatto points. (English) Zbl 1398.65307
Insights on aliasing driven instabilities for advection equations with application to Gauss-Lobatto discontinuous Galerkin methods. (English) Zbl 1422.65263
Space-time spectral collocation algorithm for the variable-order Galilei invariant advection diffusion equations with a nonlinear source term. (English) Zbl 1488.42115
A differential quadrature based numerical method for highly accurate solutions of Burgers’ equation. (English) Zbl 1383.65114
A polynomial spectral calculus for analysis of DG spectral element methods. (English) Zbl 1382.65345
Bittencourt, Marco L. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2016. Selected papers from the ICOSAHOM conference, June 27 – July 1, 2016, Rio de Janeiro, Brazil. Cham: Springer (ISBN 978-3-319-65869-8/hbk; 978-3-319-65870-4/ebook). Lecture Notes in Computational Science and Engineering 119, 21-40 (2017).
Space-time Legendre-Gauss-Lobatto collocation method for two-dimensional generalized sine-Gordon equation. (English) Zbl 1375.65139
An accurate space-time pseudospectral method for solving nonlinear multi-dimensional heat transfer problems. (English) Zbl 1362.65116
Superconvergence of the direct discontinuous Galerkin method for convection-diffusion equations. (English) Zbl 1361.65061
Reviewer: K. N. Shukla (Gurgaon)
Jacobi-Gauss-Lobatto collocation method for solving nonlinear reaction-diffusion equations subject to Dirichlet boundary conditions. (English) Zbl 1446.65124
Pseudospectral operational matrix for numerical solution of single and multiterm time fractional diffusion equation. (English) Zbl 1424.65186
Chebyshev-Chebyshev spectral collocation method for solving the generalized regularized long wave (GRLW) equation. (English) Zbl 1410.65395
Shifted Jacobi collocation method for solving multi-dimensional fractional Stokes’ first problem for a heated generalized second grade fluid. (English) Zbl 1419.76035
Spectral element method-based parabolic equation for EM-scattering problems. (English) Zbl 1367.65175
Lagrangian/Eulerian solvers and simulations for Vlasov-Poisson. (English. French summary) Zbl 1359.35198
Reviewer: Teodora-Liliana Rădulescu (Craiova)
Efficient spectral collocation algorithm for a two-sided space fractional Boussinesq equation with non-local conditions. (English) Zbl 1354.65201
Numerical analysis with algorithms and programming. (English) Zbl 1359.65002
Boca Raton, FL: CRC Press (ISBN 978-1-4987-4174-3/hbk; 978-1-4987-4182-8/ebook). xix, 685 p. (2016).
Reviewer: Hang Lau (Montréal)
MSC:
65-01
68N15
65Y15
65H05
65H10
65D05
65D07
65D25
65D32
65B15
65F05
65F10
65L06
65L10
65L12
65L60
65F15
65D10
65M06
35K20
35L20
65N06
35J05
65N30
An efficient collocation algorithm for multidimensional wave type equations with nonlocal conservation conditions. (English) Zbl 1443.65237
A Jacobi Gauss-Lobatto and Gauss-Radau collocation algorithm for solving fractional Fokker-Planck equations. (English) Zbl 1348.65144
An accurate Chebyshev pseudospectral scheme for multi-dimensional parabolic problems with time delays. (English) Zbl 1515.35023
Multilevel preconditioning of discontinuous Galerkin spectral element methods. I: Geometrically conforming meshes. (English) Zbl 1353.65119
Reviewer: I. N. Katz (St. Louis)
A new Legendre collocation method for solving a two-dimensional fractional diffusion equation. (English) Zbl 1468.65161
Robust preconditioners for DG-discretizations with arbitrary polynomial degrees. (English) Zbl 1382.65378
Erhel, Jocelyne (ed.) et al., Domain decomposition methods in science and engineering XXI. Proceedings of the 21st international conference, Inria Rennes Center, France, June 25–29, 2012. Cham: Springer (ISBN 978-3-319-05788-0/hbk; 978-3-319-35548-1/pbk; 978-3-319-05789-7/ebook). Lecture Notes in Computational Science and Engineering 98, 537-545 (2014).
Jacobi-Gauss-Lobatto collocation method for the numerical solution of \(1+1\) nonlinear Schrödinger equations. (English) Zbl 1349.65511
An efficient Jacobi pseudospectral approximation for nonlinear complex generalized Zakharov system. (English) Zbl 1339.65188
A numerical solution for one-dimensional parabolic equation based on pseudo-spectral integration matrix. (English) Zbl 1312.65165
High order multisymplectic Runge-Kutta methods. (English) Zbl 1310.37044
Reviewer: Vasile Marinca (Timişoara)
An energy stable discontinuous Galerkin spectral element discretization for variable coefficient advection problems. (English) Zbl 1303.65086
Numerical approximation for space fractional diffusion equations via Chebyshev finite-difference method. (English) Zbl 1488.65219
A generalized Jacobi-Petrov-Galerkin spectral method for fourth-order mixed boundary value problems. (Chinese. English summary) Zbl 1299.65278
An efficient spectral collocation algorithm for nonlinear Phi-four equations. (English) Zbl 1295.65100
A spectral Legendre-Gauss-Lobatto collocation method for a space-fractional advection diffusion equations with variable coefficients. (English) Zbl 1292.65109
A skew-symmetric discontinuous Galerkin spectral element discretization and its relation to SBP-SAT finite difference methods. (English) Zbl 1275.65065
Generalized Jacobi approximation in multiple dimensions and its applications. (English) Zbl 1272.65097
Reviewer: Wilhelm Heinrichs (Essen)
Numerical simulation of two-dimensional sine-Gordon solitons by differential quadrature method. (English) Zbl 1264.65173
Analysis of an \(hp\)-nonconforming discontinuous Galerkin spectral element method for wave propagation. (English) Zbl 1250.65120
Reviewer: Wilhelm Heinrichs (Essen)
A differential quadrature algorithm to solve the two dimensional linear hyperbolic telegraph equation with Dirichlet and Neumann boundary conditions. (English) Zbl 1246.65174
Overlapping Schwarz preconditioned eigensolvers for spectral element discretizations. (English) Zbl 1242.65231
Lagrange interpolation approximation of the nonlinear heat transfer. (Chinese. English summary) Zbl 1265.65213
Lobatto IIIA-IIIB discretization of the strongly coupled nonlinear Schrödinger equation. (English) Zbl 1220.65176
Efficient spectral sparse grid methods and applications to high-dimensional elliptic problems. (English) Zbl 1233.65094
Reviewer: Ariadna Lucia Pletea (Iaşi)
Super-geometric convergence of a spectral element method for eigenvalue problems with jump coefficients. (English) Zbl 1224.65256
A performance comparison of nodal discontinuous Galerkin methods on triangles and quadrilaterals. (English) Zbl 1206.65233
Finite-element preconditioning of G-NI spectral methods. (English) Zbl 1223.65089
Reviewer: Weizhong Dai (Ruston)
Overlapping Schwarz preconditioners for spectral element methods in nonstandard domains and heterogeneous media. (English) Zbl 1190.65171
Dispersive and dissipative behavior of the spectral element method. (English) Zbl 1204.65137
Reviewer: Francisco Pérez Acosta (La Laguna)
Semiexplicit multisymplectic integration of nonlinear Schrödinger equation. (English) Zbl 1180.65167
Begehr, H. G. W. (ed.) et al., Further progress in analysis. Proceedings of the 6th international ISAAC congress, Ankara, Turkey, August 13–18, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-732-5/hbk). 717-726 (2009).
Influence of Gauss and Gauss-Lobatto quadrature rules on the accuracy of a quadrilateral finite element method in the time domain. (English) Zbl 1167.65057
Reviewer: Nicolae Pop (Baia Mare)
On multisymplecticity of partitioned Runge-Kutta methods. (English) Zbl 1172.37030
Reviewer: Vasile Marinca (Timişoara)
Exact and inexact FETI-DP methods for spectral elements in two dimensions. (English) Zbl 1139.65322
Langer, Ulrich (ed.) et al., Domain decomposition methods in science and engineering XVII. Selected papers based on the presentations at the 17th international conference on domain decomposition methods, St. Wolfgang/Strobl, Austria, July 3–7, 2006. Berlin: Springer (ISBN 978-3-540-75198-4/pbk). Lecture Notes in Computational Science and Engineering 60, 279-286 (2008).
Overlapping Schwarz methods for Fekete and Gauss-Lobatto spectral elements. (English) Zbl 1141.65394
Spectral collocation method for parabolic partial differential equations with Neumann boundary conditions. (English) Zbl 1129.35305
A diagonal-mass-matrix triangular-spectral-element method based on cubature points. (English) Zbl 1110.65093
Aliasing errors due to quadratic nonlinearities on triangular spectral /\(hp\) element discretisations. (English) Zbl 1110.65111
Superconvergence of rectangular finite element with interpolated coefficients for semilinear elliptic problem. (English) Zbl 1106.65097
Reviewer: Răzvan Răducanu (Iaşi)
Spectral element methods on unstructured meshes: comparisons and recent advances. (English) Zbl 1102.65119
Data-sparse approximation to a class of operator-valued functions. (English) Zbl 1066.65060
Reviewer: Karel Najzar (Praha)
An implicit interpolation error-based error estimation strategy for \(hp\)-adaptivity in one space dimension. (English) Zbl 1059.65070
Reviewer: Pavol Chocholatý (Bratislava)
Spectral element methods on triangles and quadrilaterals: Comparisons and applications. (English) Zbl 1052.65109
Optimal error estimates of the Chebyshev-Legendre spectral method for solving the generalized Burgers equation. (English) Zbl 1050.65083
Reviewer: Gisbert Stoyan (Budapest)
Application of the collocation method for solving the diffusion type equations with non-local boundary conditions. (Ukrainian) Zbl 1073.35509
Reviewer: V. I. Guljaev (Kyïv)
Basic structures of superconvergence in finite element analysis. (English) Zbl 1066.65112
Chan, Tony F. (ed.) et al., Recent progress in computational and applied PDEs. Conference proceedings for the international conference held in Zhangjiajie, China, July 1–7, 2001. New York, NY: Kluwer Academic / Plenum Publishers (ISBN 0-306-47420-4/hbk). 113-122 (2002).
Superapproximation properties of the interpolation operator of projection type and applications. (English) Zbl 1012.65106
Reviewer: Gisbert Stoyan (Budapest)
Preconditioning Legendre spectral collocation methods for elliptic problems. II: Finite element operators. (English) Zbl 1004.65118
Reviewer: Gisbert Stoyan (Budapest)
Preconditioning Legendre spectral collocation methods for elliptic problems. I: Finite difference operators. (English) Zbl 1004.65117
Reviewer: Gisbert Stoyan (Budapest)
Iterative substructuring methods for spectral element discretizations of elliptic systems in three dimensions. (English) Zbl 0961.65099
Bjørstad, Petter (ed.) et al., Parallel solution of partial differential equations. Proceedings of a workshop, Univ. of Minnesota, Minneapolis, MN, USA, June 9-13, 1997. New York, NY: Springer. IMA Vol. Math. Appl. 120, 1-30 (2000).
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