Add to ORKGDedicated to Professor Zhong-ci Shi on the occasion of his 70th birthday Exponential time differencing schemes are time integration methods that can be effi-ciently combined with spatial spectral approximations to provide very high resolution to the smooth solutions of some linear and nonlinear partial differential equations. We study in this paper the stability properties of some exponential time differencing schemes. We also present their application to the numerical solution of the scalar Allen-Cahn equation in two and three dimensional spaces. Mathematics subject classification: Key words: 1
The goal of this paper is to present a brief review and a critical comparison of the performance of ...
AbstractThis paper provides Galerkin and Inertial Algorithms for solving a class of nonlinear evolut...
In this work we will introduce and analyze the Arbitrary Lagrangian Eule-rian formulation for a mode...
We study in this paper the exponential time differencing (ETD) schemes and their modifications via c...
>Magister Scientiae - MScIn this thesis, we consider some interesting mathematical models arising in...
For the time integration of semilinear systems of dierential equations, a class of multiderivative e...
Abstract Two modified exponential time differencing schemes based on the Fourier spectral method are...
We apply an exponential time integration scheme combined with a central difference scheme on a piece...
In this article, we conjugate time marching schemes with Finite Differences splittings into low and ...
In this paper, we investigate numerical solution of Allen-Cahn equation with constant and degenerate...
Exponential integrators are a well-known class of time integration methods that have been the subjec...
Exponential integrators are a well-known class of time integration methods that have been the subjec...
The stability analysis and error estimates are some of the well-known techniques carried out on a nu...
Fully-discrete approximations of the Allen–Cahn equation are considered. In particular, we consider ...
A new semi-analytical time differencing is applied to spectral methods for partial differential equa...
The goal of this paper is to present a brief review and a critical comparison of the performance of ...
AbstractThis paper provides Galerkin and Inertial Algorithms for solving a class of nonlinear evolut...
In this work we will introduce and analyze the Arbitrary Lagrangian Eule-rian formulation for a mode...
We study in this paper the exponential time differencing (ETD) schemes and their modifications via c...
>Magister Scientiae - MScIn this thesis, we consider some interesting mathematical models arising in...
For the time integration of semilinear systems of dierential equations, a class of multiderivative e...
Abstract Two modified exponential time differencing schemes based on the Fourier spectral method are...
We apply an exponential time integration scheme combined with a central difference scheme on a piece...
In this article, we conjugate time marching schemes with Finite Differences splittings into low and ...
In this paper, we investigate numerical solution of Allen-Cahn equation with constant and degenerate...
Exponential integrators are a well-known class of time integration methods that have been the subjec...
Exponential integrators are a well-known class of time integration methods that have been the subjec...
The stability analysis and error estimates are some of the well-known techniques carried out on a nu...
Fully-discrete approximations of the Allen–Cahn equation are considered. In particular, we consider ...
A new semi-analytical time differencing is applied to spectral methods for partial differential equa...
The goal of this paper is to present a brief review and a critical comparison of the performance of ...
AbstractThis paper provides Galerkin and Inertial Algorithms for solving a class of nonlinear evolut...
In this work we will introduce and analyze the Arbitrary Lagrangian Eule-rian formulation for a mode...