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The Number of Bound...
The Number of Boundary Conditions for Initial Boundary Value Problems
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- Nordström, Jan, 1953- (author)
- Linköpings universitet,Beräkningsmatematik,Tekniska fakulteten,University of Johannesburg, Johannesburg, South Africa
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- Hagstrom, Thomas M. (author)
- Southern Methodist University, Dallas, USA,
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(creator_code:org_t)
- Society for Industrial and Applied Mathematics, 2020
- 2020
- English.
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In: SIAM Journal on Numerical Analysis. - : Society for Industrial and Applied Mathematics. - 0036-1429 .- 1095-7170. ; 58:5, s. 2818-2828
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Abstract
Subject headings
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- Both the energy method and the Laplace transform method are frequently used for determining the number of boundary conditions required for a well posed initial boundary value problem. We show that these two distinctly different methods yield the same results. The continuous energy method can be mimicked exactly in the corresponding semidiscrete problems discretized using the summation-by-parts technique. Hence the analysis of well posedness and stability can bypass the more unwieldy Laplace transform method.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- initial boundary value problems
- boundary conditions
- incompletely parabolic
- energy method
- Laplace transform method
- normal mode analysis
- summation-by-parts
Publication and Content Type
- ref (subject category)
- art (subject category)
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