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» An adaptive spectral least-squares scheme for the Burgers eq...
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SIAMSC
2010
170views more  SIAMSC 2010»
12 years 12 months ago
Adaptive ADER Methods Using Kernel-Based Polyharmonic Spline WENO Reconstruction
An adaptive ADER finite volume method on unstructured meshes is proposed. The method combines high order polyharmonic spline WENO reconstruction with high order flux evaluation. Po...
Terhemen Aboiyar, Emmanuil H. Georgoulis, Armin Is...
MOC
2000
126views more  MOC 2000»
13 years 4 months ago
Adaptive multilevel methods in space and time for parabolic problems-the periodic case
The aim of this paper is to display numerical results that show the interest of some multilevel methods for problems of parabolic type. These schemes are based on multilevel spatia...
J. B. Burie, M. Marion
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...