EuDML | Browse

Page 1

Displaying 1 – 6 of 6

The CUDA implementation of the method of lines for the curvature dependent flows

Tomáš Oberhuber, Atsushi Suzuki, Vítězslav Žabka (2011)

Kybernetika

We study the use of a GPU for the numerical approximation of the curvature dependent flows of graphs - the mean-curvature flow and the Willmore flow. Both problems are often applied in image processing where fast solvers are required. We approximate these problems using the complementary finite volume method combined with the method of lines. We obtain a system of ordinary differential equations which we solve by the Runge-Kutta-Merson solver. It is a robust solver with an automatic choice of the...

The numerical solution of linear time-varying DAEs with index 2 by IRK methods.

Izquierdo, Ebroul (1994)

Revista Colombiana de Matemáticas

The Numerical Solution of Stiff IVPs in ODEs Using Modified Second Derivative BDF

R. I. Okuonghae, M. N. O. Ikhile (2012)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

This paper considers modified second derivative BDF (MSD-BDF) for the numerical solution of stiff initial value problems (IVPs) in ordinary differential equations (ODEs). The methods are A $(α)$ -stable for step length $k \leq 7$ .

The Stability Function for Multistep Collocation Methods.

Ivar Lie (1990)

Numerische Mathematik

Time discretization of parabolic boundary integral equations.

Ch:, Schneider, R. Lubich (1992)

Numerische Mathematik

Toward a two-step Runge-Kutta code for nonstiff differential systems

Zbigniew Bartoszewski, Zdzisław Jackiewicz (2001)

Applicationes Mathematicae

Various issues related to the development of a new code for nonstiff differential equations are discussed. This code is based on two-step Runge-Kutta methods of order five and stage order five. Numerical experiments are presented which demonstrate that the new code is competitive with the Matlab ode45 program for all tolerances.