Global ABCs for Heat and Schrödinger Equations

Houde Han () and Xiaonan Wu ()
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Houde Han: Tsinghua University, Department of Mathematical Sciences
Xiaonan Wu: Hong Kong Baptist University, Department of Mathematics

Chapter Chapter 3 in Artificial Boundary Method, 2013, pp 115-188 from Springer

Abstract: Abstract In this chapter, we discuss the global ABCs for heat and Schrödinger equations on unbounded domains. By using artificial boundaries, the original problems are reduced to initial boundary value problems on bounded computational domains. Boundary conditions on the artificial boundaries are obtained, and then the finite difference method is applied to solve the reduced problems. Stability and error estimates are also discussed.

Keywords: Heat equation; Schrödinger equation; finite difference approximation; stability (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-35464-9_4

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DOI: 10.1007/978-3-642-35464-9_4

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