Solution of Evolutionary Partial Differential Equations Using Adaptive Finite Differences with Pseudospectral Post-processing

Type: Article

Publication Date: 1997-03-01

Citations: 25

DOI: https://doi.org/10.1006/jcph.1996.5592

Locations

  • Journal of Computational Physics - View

Similar Works

Action Title Year Authors
+ The effect of filtering on the pseudospectral solution of evolutionary partial differential equations 1991 L.S. Mulholland
D. M. Sloan
+ The effect of filtering on the pseudospectral solution of evolutionary partial differential equations 1990 L.S Mulholland
D.M Sloan
+ The numerical solution of evolutionary partial differential equations 1969 A. R. Gourlay
+ Simulations of the one and two dimensional nonlinear evolutionary partial differential equations: A numerical study 2023 Abdul Ghafoor
Sobia Sardar
Asad Ullah
Manzoor Hussain
Hijaz Ahmad
Fuad A. Awwad
Emad A.A. Ismail
+ Adaptive computational methods for partial differential equations 1985 Ivo Babuéska
Jagdish Chandra
Joseph E. Flaherty
+ The role of preconditioning in the solution of evolutionary partial differential equations by implicit fourier pseudospectral methods 1992 L.S. Mulholland
D. M. Sloan
+ Combined Finite Element and Pseudospectral Method for the Two-Dimensional Evolutionary Navier–Stokes Equations 1993 Guo Ben‐yu
Heping Ma
+ Adaptive numerical methods for partial differential equations 1995 P. Cololla
+ A modified pseudospectral method for numerical solution of ordinary differential equations systems 2005 M.M. Hosseini
+ Inverse problems for nonself-adjoint evolutionary systems 2001 Sjoerd M. Verduyn Lunel
+ Numerical Methods for Evolutionary Differential Equations 2008 Uri M. Ascher
+ NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS 2003 K. W. Morton
D. F. Mayers
+ Numerical solutions of nonlinear evolutionary problems : Generalized finite difference methods and linear implicit methods 1996 Ying Mai
+ Adaptive methods for partial differential equations 1991 JĂ©ssika de Souza Cabral
+ An adaptive finite element method for evolutionary convection dominated problems 2011 Javier de Frutos
Bosco Garcı́a-Archilla
Julia Novo
+ A finite-difference method of solving the Cauchy problem for evolution equations 1977 A.T. Gashimov
Sasun Yakubov
+ Adaptive Finite element solution for Volterra partial integro differential equations 2019 M. Sameeh
A. Elsaid
M. El-Agamy
+ Review of: "New adaptative numerical algorithm for solving partial integro-differential equations" 2024 Joel N. Ndam
+ Stability and convergence of difference scheme for nonlinear evolutionary type equations 2008 Fayçal Abidi
Mekki Ayadi
Khaled Omrani
+ Numerical-analytical Methods for Solving the Cauchy Problem for Evolutionary Equations with Memory 2023 Petr N. Vabishchevich

Works That Cite This (17)

Action Title Year Authors
+ On The Numerical Solution of One-Dimensional PDEs Using Adaptive Methods Based on Equidistribution 2001 George Beckett
J.A. Mackenzie
Alison Ramage
D. M. Sloan
+ On a uniformly accurate finite difference approximation of a singularly perturbed reaction–diffusion problem using grid equidistribution 2001 George Beckett
J.A. Mackenzie
+ An $hr$-Adaptive Method for the Cubic Nonlinear Schrödinger Equation 2019 J. A. Mackenzie
Wan R. Mekwi
+ Analysis of difference approximations to a singularly perturbed two-point boundary value problem on an adaptively generated grid 1999 Y. Qiu
D. M. Sloan
+ Error Analysis of Adaptive Finite Difference Methods Using Stretching Functions for Polar Coordinate Form of Poisson-Type Equation 2003 Qing Fang
Yukihiro Shogenji
Tetsuro Yamamoto
+ A pseudospectral method of solution of Fisher's equation 2005 Daniel Olmos‐Liceaga
Bernie D. Shizgal
+ An <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e1840" altimg="si366.svg"><mml:mi>h</mml:mi><mml:mi>r</mml:mi></mml:math>-adaptive method for the cubic nonlinear Schrödinger equation 2019 J.A. Mackenzie
Wankere R. Mekwi
+ PDF Chat A Rational Spectral Collocation Method with Adaptively Transformed Chebyshev Grid Points 2006 T. Wynn Tee
Lloyd N. Trefethen
+ A higher‐order hybrid spline difference method on adaptive mesh for solving singularly perturbed parabolic reaction–diffusion problems with robin‐boundary conditions 2022 Aastha Gupta
Aditya Kaushik
Manju Sharma
+ PDF Chat On the numerical solution of Fisher’s equation with coefficient of diffusion term much smaller than coefficient of reaction term 2019 Koffi Messan Agbavon
Appanah Rao Appadu
M. Khumalo