Arbitrarily High-Order Time-Stepping Schemes for Nonlinear Klein–Gordon Equations

Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations ◽

10.1007/978-981-10-9004-2_11 ◽

2018 ◽

pp. 269-316

Author(s):

Xinyuan Wu ◽

Bin Wang

Keyword(s):

Time Stepping ◽

Klein Gordon ◽

High Order Time

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Arbitrarily high-order time-stepping schemes based on the operator spectrum theory for high-dimensional nonlinear Klein–Gordon equations

Journal of Computational Physics ◽

10.1016/j.jcp.2017.03.038 ◽

2017 ◽

Vol 340 ◽

pp. 243-275 ◽

Author(s):

Changying Liu ◽

Xinyuan Wu

Keyword(s):

High Dimensional ◽

Time Stepping ◽

Operator Spectrum ◽

Klein Gordon ◽

High Order Time

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High-order time stepping for the Navier–Stokes equations with minimal computational complexity

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2016.04.033 ◽

2017 ◽

Vol 310 ◽

pp. 92-103 ◽

Author(s):

Jean-Luc Guermond ◽

Peter D. Minev

Keyword(s):

Computational Complexity ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Time Stepping ◽

High Order Time

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Stability of the high-order finite elements for acoustic or elastic wave propagation with high-order time stepping

Geophysical Journal International ◽

10.1111/j.1365-246x.2010.04536.x ◽

2010 ◽

Vol 181 (1) ◽

pp. 577-590 ◽

Author(s):

Jonás D. De Basabe ◽

Mrinal K. Sen

Keyword(s):

Wave Propagation ◽

Finite Elements ◽

Elastic Wave ◽

Elastic Wave Propagation ◽

Time Stepping ◽

High Order Time

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High-order time stepping scheme for pricing American option under Bates model

International Journal of Computer Mathematics ◽

10.1080/00207160.2017.1420785 ◽

2018 ◽

Vol 96 (1) ◽

pp. 18-32

Author(s):

M. Yousuf

Keyword(s):

American Option ◽

Time Stepping ◽

High Order Time

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High-order time-stepping methods for two-dimensional Riesz fractional nonlinear reaction–diffusion equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.03.010 ◽

2020 ◽

Vol 80 (1) ◽

pp. 204-226

Author(s):

M. Yousuf ◽

K.M. Furati ◽

A.Q.M. Khaliq

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Two Dimensional ◽

Time Stepping ◽

Nonlinear Reaction ◽

High Order Time

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Explicit high-order time stepping based on componentwise application of asymptotic block Lanczos iteration

Numerical Linear Algebra with Applications ◽

10.1002/nla.1831 ◽

2012 ◽

Vol 19 (6) ◽

pp. 970-991 ◽

Author(s):

James V. Lambers

Keyword(s):

Time Stepping ◽

Lanczos Iteration ◽

Block Lanczos ◽

High Order Time

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Code Verification for Unsteady Flow Simulations with High Order Time-Stepping Schemes

47th AIAA Aerospace Sciences Meeting including The New Horizons Forum and Aerospace Exposition ◽

10.2514/6.2009-169 ◽

2009 ◽

Author(s):

Stephane Etienne ◽

Andre Garon ◽

Dominique Pelletier

Keyword(s):

Unsteady Flow ◽

Code Verification ◽

Flow Simulations ◽

Time Stepping ◽

High Order Time

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High-Order Time Stepping for the Incompressible Navier--Stokes Equations

SIAM Journal on Scientific Computing ◽

10.1137/140975231 ◽

2015 ◽

Vol 37 (6) ◽

pp. A2656-A2681 ◽

Author(s):

Jean-Luc Guermond ◽

Peter Minev

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Time Stepping ◽

High Order Time

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High-order Time Stepping Schemes for Semilinear Subdiffusion Equations

SIAM Journal on Numerical Analysis ◽

10.1137/19m1261225 ◽

2020 ◽

Vol 58 (6) ◽

pp. 3226-3250

Author(s):

Kai Wang ◽

Zhi Zhou

Keyword(s):

Time Stepping ◽

High Order Time

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High-order time stepping Fourier spectral method for multi-dimensional space-fractional reaction–diffusion equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2018.09.061 ◽

2019 ◽

Vol 77 (3) ◽

pp. 615-630 ◽

Author(s):

S.S. Alzahrani ◽

A.Q.M. Khaliq

Keyword(s):

Spectral Method ◽

Dimensional Space ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Fourier Spectral Method ◽

Time Stepping ◽

High Order Time ◽

Fractional Reaction

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