WebMar 31, 2005 · Abstract: A modification of the exponential time-differencing fourth-order Runge--Kutta method for solving stiff nonlinear PDEs is presented that solves the … WebImplementations in MATLAB and Chebfun make it possible to compute the solution of many PDEs to high accuracy in a very convenient fashion. We present in this paper algorithms …
An Asymptotic Parallel-in-Time Method for Highly Oscillatory PDEs
WebJan 20, 2024 · Request PDF Fourth-Order Time-Stepping For Stiff PDEs On The Sphere We present in this paper algorithms for solving stiff PDEs on the unit sphere … WebJan 3, 2024 · Fourth-order time-stepping for stiff PDEs. SIAM J. Sci. Comput. 26, 4 (2005), 1214--1233. Google Scholar Digital Library; R. D. Neidinger. 2010. Introduction to automatic differentiation and MATLAB object-oriented programming. SIAM Rev. 52, 3 (2010), 545--563. Google Scholar Digital Library; brad thomas preakness picks
An exponential time differencing method for the ... - ScienceDirect
WebA modification of the ETDRK4 (Exponential Time Differencing fourth-order Runge-Kutta) method for solving sti# nonlinear PDEs is presented that solves the problem of numerical instability in the scheme as proposed by Cox and Matthews and generalizes the method to nondiagonal operators. WebJan 23, 2015 · In this paper, we study a local discontinuous Galerkin method combined with fourth order exponential time differencing Runge-Kutta time discretization and a fourth order conservative method for solving the nonlinear Schrödinger equations. WebJun 1, 2016 · A two-step compact difference scheme is employed for spatial discretization to obtain fourth-order accuracy and make use of FFT-based fast calculations. ... A.K., Trefethen, L.N.: Fourth-order time stepping for stiff PDEs. SIAM J. Sci. Comput. 26, 1214---1233 (2005) Google Scholar Digital Library; Lawson, J.: Generalized Runge-- … hachette orthographe cm