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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...
SIAMSC
2010
140views more  SIAMSC 2010»
13 years 3 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
2008
126views more  SIAMSC 2008»
13 years 4 months ago
Highly Efficient Strong Stability-Preserving Runge-Kutta Methods with Low-Storage Implementations
Strong stability-preserving (SSP) Runge
David I. Ketcheson
NA
2007
62views more  NA 2007»
13 years 4 months ago
Runge-Kutta interpolants for high precision computations
Runge-Kutta (RK) pairs furnish approximations of the solution of an initial value problem at discrete points in the interval of integration. Many techniques for enriching these met...
Ch. Tsitouras
SIAMSC
2010
270views more  SIAMSC 2010»
13 years 3 months ago
High Order Numerical Methods to Three Dimensional Delta Function Integrals in Level Set Methods
In this paper we propose a class of high order numerical methods to delta function integrals appearing in level set methods in the three dimensional case by extending the idea for ...
Xin Wen