Add to ORKGWe study in this paper the exponential time differencing (ETD) schemes and their modifications via complex contour integrations for the numerical solutions of parabolic type equations. We illustrate that the contour integration shares an added advantage of improving the stability of the time integration. In addition, we demonstrate the effectiveness of the ETD type schemes through the numerical solution of a typical problem in phase field modeling and through the comparisons with other existing methods
[[abstract]]A new numerical formulation is proposed in this investigation for the solution of parabo...
Exponential integration methods offer a highly accurate approach to the time integration of large sy...
In this article, we conjugate time marching schemes with Finite Differences splittings into low and ...
Dedicated to Professor Zhong-ci Shi on the occasion of his 70th birthday Exponential time differenci...
Cox and Matthews [3] developed a class of Exponential Time Differencing Runge-Kutta schemes (ETDRK) ...
AbstractCox and Matthews [S.M. Cox, P.C. Matthews, Exponential time differencing for stiff systems, ...
In this work, new techniques to improve the performance of exponential integrators are proposed. The...
AbstractAn algorithm for the solution of nonlinear systems of parabolic partial differential equatio...
Abstract We study smoothing properties and approximation of time derivatives for time discretizatio...
Abstract We study smoothing properties and approximation of time derivatives for time discretizatio...
Stiff systems of ordinary differential equations (ODEs) play an essential role in the temporal integ...
AbstractCox and Matthews [S.M. Cox, P.C. Matthews, Exponential time differencing for stiff systems, ...
Abstract: In this study, exponentialRunge-Kutta methods of collocation type are considered for linea...
AbstractThe heat equation is but one example of problems which involve multiple scales. There is a l...
AbstractAn algorithm for the solution of nonlinear systems of parabolic partial differential equatio...
[[abstract]]A new numerical formulation is proposed in this investigation for the solution of parabo...
Exponential integration methods offer a highly accurate approach to the time integration of large sy...
In this article, we conjugate time marching schemes with Finite Differences splittings into low and ...
Dedicated to Professor Zhong-ci Shi on the occasion of his 70th birthday Exponential time differenci...
Cox and Matthews [3] developed a class of Exponential Time Differencing Runge-Kutta schemes (ETDRK) ...
AbstractCox and Matthews [S.M. Cox, P.C. Matthews, Exponential time differencing for stiff systems, ...
In this work, new techniques to improve the performance of exponential integrators are proposed. The...
AbstractAn algorithm for the solution of nonlinear systems of parabolic partial differential equatio...
Abstract We study smoothing properties and approximation of time derivatives for time discretizatio...
Abstract We study smoothing properties and approximation of time derivatives for time discretizatio...
Stiff systems of ordinary differential equations (ODEs) play an essential role in the temporal integ...
AbstractCox and Matthews [S.M. Cox, P.C. Matthews, Exponential time differencing for stiff systems, ...
Abstract: In this study, exponentialRunge-Kutta methods of collocation type are considered for linea...
AbstractThe heat equation is but one example of problems which involve multiple scales. There is a l...
AbstractAn algorithm for the solution of nonlinear systems of parabolic partial differential equatio...
[[abstract]]A new numerical formulation is proposed in this investigation for the solution of parabo...
Exponential integration methods offer a highly accurate approach to the time integration of large sy...
In this article, we conjugate time marching schemes with Finite Differences splittings into low and ...