textabstractThe Fortran 90 program IRKC is intended for the time integration of partial differential equations (PDEs) of diffusion-reaction type for which the reaction Jacobian has real (negative) eigenvalues. It is based on a family of implicit-explicit Runge-Kutta-Chebyshev formulas which are unconditionally stable for reaction terms and which provide a stability bound for the diffusion terms that is quadratic in the number of stages. Special properties of the family make it possible for the program to select at each step the most efficient stable formula as well as the most efficient step size. Moreover, they make it possible to evaluate the formulas in just a few vectors of storage. These characteristics of the program make it especiall...
This article is devoted to the construction of a new class of semi-Lagrangian (SL) schemes with impl...
Stabilized Runge–Kutta (aka Chebyshev) methods are especially efficient for the numerical solution o...
International audienceThe main purpose of the paper is to show how to use implicit-explicit (IMEX) R...
The Fortran 90 code IRKC is intended for the time integration of systems of partial differential equ...
AbstractThe Fortran 90 code IRKC is intended for the time integration of systems of partial differen...
textabstractAn implicit-explicit (IMEX) extension of the explicit Runge-Kutta-Chebyshev (RKC) scheme...
AbstractThe FORTRAN program RKC is intended for the time integration of parabolic partial differenti...
The original explicit Runge-Kutta-Chebyshev (RKC) method is a stabilized second-order integration me...
An integration method based on Runge–Kutta–Chebyshev (RKC) methods is discussed which has been desig...
The {sc fortran program {sc rkc is intended for the time integration of parabolic partial differenti...
An integration method is discussed which has been designed to treat parabolic and hyperbolic terms e...
International audienceA partitioned implicit-explicit orthogonal Runge-Kutta method (PIROCK) is prop...
This project is devoted to two Matlab solvers for the time integration of advection-diffusion-reacti...
In stiff reaction-diffusion equations, whiles explicit time discretization schemes are utilized, the...
A partitioned implicit-explicit orthogonal Runge-Kutta method (PIROCK) is proposed for the time inte...
This article is devoted to the construction of a new class of semi-Lagrangian (SL) schemes with impl...
Stabilized Runge–Kutta (aka Chebyshev) methods are especially efficient for the numerical solution o...
International audienceThe main purpose of the paper is to show how to use implicit-explicit (IMEX) R...
The Fortran 90 code IRKC is intended for the time integration of systems of partial differential equ...
AbstractThe Fortran 90 code IRKC is intended for the time integration of systems of partial differen...
textabstractAn implicit-explicit (IMEX) extension of the explicit Runge-Kutta-Chebyshev (RKC) scheme...
AbstractThe FORTRAN program RKC is intended for the time integration of parabolic partial differenti...
The original explicit Runge-Kutta-Chebyshev (RKC) method is a stabilized second-order integration me...
An integration method based on Runge–Kutta–Chebyshev (RKC) methods is discussed which has been desig...
The {sc fortran program {sc rkc is intended for the time integration of parabolic partial differenti...
An integration method is discussed which has been designed to treat parabolic and hyperbolic terms e...
International audienceA partitioned implicit-explicit orthogonal Runge-Kutta method (PIROCK) is prop...
This project is devoted to two Matlab solvers for the time integration of advection-diffusion-reacti...
In stiff reaction-diffusion equations, whiles explicit time discretization schemes are utilized, the...
A partitioned implicit-explicit orthogonal Runge-Kutta method (PIROCK) is proposed for the time inte...
This article is devoted to the construction of a new class of semi-Lagrangian (SL) schemes with impl...
Stabilized Runge–Kutta (aka Chebyshev) methods are especially efficient for the numerical solution o...
International audienceThe main purpose of the paper is to show how to use implicit-explicit (IMEX) R...