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ICCS
2009
Springer
13 years 11 months ago
Explicit Time Stepping Methods with High Stage Order and Monotonicity Properties
This paper introduces a three and a four order explicit time stepping method. These methods have high stage order and favorable monotonicity properties. The proposed methods are ba...
Emil M. Constantinescu, Adrian Sandu
SIAMSC
2010
121views more  SIAMSC 2010»
13 years 2 months ago
Extrapolated Implicit-Explicit Time Stepping
This paper constructs extrapolated implicit-explicit time stepping methods that allow one to efficiently solve problems with both stiff and nonstiff components. The proposed meth...
Emil M. Constantinescu, Adrian Sandu
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
JSCIC
2007
100views more  JSCIC 2007»
13 years 4 months ago
Implicit-Explicit Schemes for BGK Kinetic Equations
In this work a new class of numerical methods for the BGK model of kinetic equations is presented. In principle, schemes of any order of accuracy in both space and time can be con...
Sandra Pieraccini, Gabriella Puppo
SIAMSC
2010
140views more  SIAMSC 2010»
13 years 2 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...