An Implementation Framework for Solving High-Dimensional PDEs on Massively Parallel Computers

Magnus Gustafsson () and Sverker Holmgren ()
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Magnus Gustafsson: Uppsala University, Department of Information Technology
Sverker Holmgren: Uppsala University, Department of Information Technology

A chapter in Numerical Mathematics and Advanced Applications 2009, 2010, pp 417-424 from Springer

Abstract: Abstract Accurate solution of time-dependent, high-dimensional PDEs requires massive-scale parallel computing. In this paper, we describe an implementation framework for block-decomposed structured grids and discuss techniques for optimization on clusters where the nodes have one or more multicore processors. We use a two-level parallelization scheme with message passing between nodes and multithreading within each node, and argue that this is the best compromise for memory efficiency. We present some examples where the time-dependent Schrödinger equation is solved.

Keywords: Hamiltonian Matrix; Ghost Cell; Multicore Processor; Implementation Framework; Lanczos Algorithm (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-11795-4_44

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DOI: 10.1007/978-3-642-11795-4_44

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