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Author

Lee, Chang Hyeong
Stochastic Analysis & Simulation(SAS) Lab
Research Interests
  • Stochastic analysis/computation, epidemic modeling, biological system simulation

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Solution Interpolation Method for Highly Oscillating Hyperbolic Equations

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Title
Solution Interpolation Method for Highly Oscillating Hyperbolic Equations
Author
Lee, Chang HyeongKim, Pilwon
Keywords
Schemes
Issue Date
201311
Publisher
HINDAWI PUBLISHING CORPORATION
Citation
JOURNAL OF APPLIED MATHEMATICS, v.2013, no., pp.546031 -
Abstract
This paper deals with a novel numerical scheme for hyperbolic equations with rapidly changing terms. We are especially interested in the quasilinear equation u(t) + au(x). = f(x)u + g(x)u(n) and the wave equation u(tt) = f(x)u(xx) that have a highly oscillating term like f(x) = sin(x/epsilon), epsilon << 1. It also applies to the equations involving rapidly changing or even discontinuous coefficients. The method is based on the solution interpolation and the underlying idea is to establish a numerical scheme by interpolating numerical data with a parameterized solution of the equation. While the constructed numerical schemes retain the same stability condition, they carry both quantitatively and qualitatively better performances than the standard method.
URI
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DOI
http://dx.doi.org/10.1155/2013/546031
ISSN
1110-757X
Appears in Collections:
SNS_Journal Papers
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