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Parallel Adaptive and Timestabilizing Schemes for ConstantCoefficient Parabolic PDEs \Lambda

Summary: Parallel Adaptive and Time­stabilizing Schemes for
Constant­Coefficient Parabolic PDEs \Lambda
appeared in Computers & Mathematics with applications,Vol. 24, No. 10, pp. 33­53, 1992
Dganit Amitai y
Amir Averbuch y
Moshe Israeli z y
Samuel Itzikowitz yz
y Department of Computer Science
School of Mathematical Sciences
Tel Aviv University, Tel Aviv 69978, Israel
z Faculty of Computer Science
Haifa 32000, Israel
New asynchronous and time stabilizing finite­difference methods for constant co­
efficient parabolic PDEs are presented. These schemes remove the synchronization
overhead and are suitable for shared­memory, message­passing, single­ or multi­user
multiprocessors. They generalize previous schemes by allowing adaptive and non­
constant time increments. They are characterized by the time­stabilizing property: the
derivatives of their time­level with respect to the spatial coordinates are bounded as


Source: Averbuch, Amir - School of Computer Science, Tel Aviv University


Collections: Computer Technologies and Information Sciences