Improved accuracy for time-splitting methods for the numerical solution of parabolic equations
In this work, we study time-splitting strategies for the numerical approximation of
evolutionary reaction–diffusion problems. In particular, we formulate a family of domain …
evolutionary reaction–diffusion problems. In particular, we formulate a family of domain …
Canonical Euler splitting method for nonlinear composite stiff evolution equations
S Li - Applied Mathematics and Computation, 2016 - Elsevier
In this paper, a new splitting method, called canonical Euler splitting method (CES), is
constructed and studied, which can be used for the efficient numerical solution of general …
constructed and studied, which can be used for the efficient numerical solution of general …
[HTML][HTML] An efficient implicit spectral element method for time-dependent nonlinear diffusion equations by evaluating integrals at one quadrature point
We present an implicit spectral element method to approximate the solution of time-
dependent nonlinear diffusion equations in complex geometries. We propose a nodal …
dependent nonlinear diffusion equations in complex geometries. We propose a nodal …
Analysis of a compact multi-step ADI method for linear parabolic equation
D Deng, Q Wu - International Journal of Modelling and Simulation, 2020 - Taylor & Francis
As we know, second-order backward differentiation formula (BDF2) is L-stable scheme,
which can damp unwanted finite oscillations, while Crank-Nicolson (CN) method is only A …
which can damp unwanted finite oscillations, while Crank-Nicolson (CN) method is only A …
[引用][C] Improved accuracy for time-splitting methods for the numerical solution of parabolic equations
A Arrarás Ventura, L Portero Egea - … and Computation, 2015, 267, 294-303, 2015 - Elsevier