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MOC
2000
83views more  MOC 2000»
13 years 4 months ago
Stability and B-convergence properties of multistep Runge-Kutta methods
This paper continues earlier work by the same author concerning the stability and B-convergence properties of multistep Runge-Kutta methods for the numerical solution of nonlinear ...
Shoufu Li
AMC
2006
80views more  AMC 2006»
13 years 4 months ago
Equilibrium attractive properties of a class of multistep Runge-Kutta methods
The main purpose of this paper is to discuss the equilibrium attractive properties of a class of multistep Runge
Aiguo Xiao, Yifa Tang
MOC
2010
12 years 11 months ago
Integral deferred correction methods constructed with high order Runge-Kutta integrators
Spectral deferred correction (SDC) methods for solving ordinary differential equations (ODEs) were introduced by Dutt, Greengard and Rokhlin [5]. It was shown in [5] that SDC metho...
Andrew J. Christlieb, Benjamin W. Ong, Jing-Mei Qi...
AMC
2008
92views more  AMC 2008»
13 years 4 months ago
Explicit multi-step peer methods for special second-order differential equations
The construction of s-stage explicit two- and three-step peer methods of order p = 2s and p = 3s is considered for the solution of non-stiff second order initial value problems wh...
Stefan Jebens, Rüdiger Weiner, Helmut Podhais...
SIAMSC
2010
118views more  SIAMSC 2010»
12 years 11 months ago
Optimal Explicit Strong-Stability-Preserving General Linear Methods
This paper constructs strong-stability-preserving general linear time-stepping methods that are well suited for hyperbolic PDEs discretized by the method of lines. These methods ge...
Emil M. Constantinescu, Adrian Sandu