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Fast Numerical Solu...
Fast Numerical Solution of Fredholm Integral Equations with Stationary Kernels
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- Ljung, Stefan (författare)
- Linköpings universitet,Reglerteknik,Tekniska högskolan
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- Ljung, Lennart, 1946- (författare)
- Linköpings universitet,Reglerteknik,Tekniska högskolan
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(creator_code:org_t)
- Linköping : Linköping University, 1980
- Engelska 50 s.
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Serie: LiTH-ISY-I ; 381
- Relaterad länk:
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https://urn.kb.se/re...
Abstract
Ämnesord
Stäng
- A fast recursive matrix method for the numerical solution of Fredholm integral equations with stationary kernels is derived. IfN denotes the number of nodal points, the complexity of the algorithm isO(N 2), which should be compared toO(N 3) for conventional algorithms for solving such problems. The method is related to fast algorithms for inverting Toeplitz matrices.Applications to equations of the first and second kind as well as miscellaneous problems are discussed and illustrated with numerical examples. These show that the theoretical improvement in efficiency is indeed obtained, and that no problems with numerical stability or accuracy are encountered.
Ämnesord
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)
Nyckelord
- Fredholm integral equations
- Recursive matrix method
- Stationary kernels
- Fast algorithms
- Toeplitz matrices
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