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ADCM
2000
85views more  ADCM 2000»
13 years 7 months ago
Construction of Runge-Kutta methods of Crouch-Grossman type of high order
Zdzislaw Jackiewicz, Arne Marthinsen, Brynjulf Owr...
MOC
2000
83views more  MOC 2000»
13 years 7 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
MOC
2010
13 years 2 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...
SIAMSC
2010
140views more  SIAMSC 2010»
13 years 5 months ago
Parallel High-Order Integrators
In this work we discuss a class of defect correction methods which is easily adapted to create parallel time integrators for multi-core architectures and is ideally suited for deve...
Andrew J. Christlieb, Colin B. Macdonald, Benjamin...
SIAMSC
2010
118views more  SIAMSC 2010»
13 years 2 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