Add to ORKGA new method to remove the stiffness of partial differential equations is presented. Two terms are added to the right-hand-side of the PDE: the first is a damping term and is treated implicitly, the second is of the opposite sign and is treated explicitly. A criterion for absolute stability is found and the scheme is shown to be convergent. The method is applied with success to the mean curvature flow equation, the Kuramoto–Sivashinsky equation, and to the Rayleigh–Taylor instability in a Hele-Shaw cell, including the effect of surface tension
In this research, both stiff ordinary differential equations (ODEs) and parabolic partial different...
In this paper we introduce an explicit one-step method that can be used for solving stiff problems. ...
The aim of this talk is to show techniques that allow to modify the coefficients of classic explicit...
In this article, we extended the existing explicit Taylor method and modified it to gain a new expli...
Mathematical models expressed through Partial Differential Equations (PDEs) represent powerful a too...
The solving of stiff systems is still a contemporary sophisticated problem. The basic problem is the...
The paper discusses the problem of tension instability of particle-based methods such as smooth part...
The paper discusses the problem of tension instability of particle-based methods such as smooth part...
The paper discusses the problem of tension instability of particle-based methods such as smooth part...
Stabilized Runge???Kutta methods are especially efficient for the numerical solution of large system...
Stabilized Runge–Kutta (aka Chebyshev) methods are especially efficient for the numerical solution o...
Solving ordinary differential equations (ODEs) with solutions in a quasi steady state has been studi...
In this article, we describe an approach for solving partial differ-ential equations with general bo...
Wastewater treatment models consisting of large sets of non-linear ODE are usually stiff. Because st...
AbstractThe second order Ordinary Differential Equation (ODE) system obtained after semidiscretizing...
In this research, both stiff ordinary differential equations (ODEs) and parabolic partial different...
In this paper we introduce an explicit one-step method that can be used for solving stiff problems. ...
The aim of this talk is to show techniques that allow to modify the coefficients of classic explicit...
In this article, we extended the existing explicit Taylor method and modified it to gain a new expli...
Mathematical models expressed through Partial Differential Equations (PDEs) represent powerful a too...
The solving of stiff systems is still a contemporary sophisticated problem. The basic problem is the...
The paper discusses the problem of tension instability of particle-based methods such as smooth part...
The paper discusses the problem of tension instability of particle-based methods such as smooth part...
The paper discusses the problem of tension instability of particle-based methods such as smooth part...
Stabilized Runge???Kutta methods are especially efficient for the numerical solution of large system...
Stabilized Runge–Kutta (aka Chebyshev) methods are especially efficient for the numerical solution o...
Solving ordinary differential equations (ODEs) with solutions in a quasi steady state has been studi...
In this article, we describe an approach for solving partial differ-ential equations with general bo...
Wastewater treatment models consisting of large sets of non-linear ODE are usually stiff. Because st...
AbstractThe second order Ordinary Differential Equation (ODE) system obtained after semidiscretizing...
In this research, both stiff ordinary differential equations (ODEs) and parabolic partial different...
In this paper we introduce an explicit one-step method that can be used for solving stiff problems. ...
The aim of this talk is to show techniques that allow to modify the coefficients of classic explicit...