Browsing Open Access Repositories by Author "Iserles, Arieh"
Now showing items 1-3 of 3
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Modified Fourier expansions: theory, construction and applications
Adcock, Ben (University of CambridgeDepartment of Applied Mathematics and Theoretical Physics, 2010-10-12)Modified Fourier expansions present an alternative to more standard algorithms for the approximation of nonperiodic functions in bounded domains. This thesis addresses the theory of such expansions, their effective ...
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Numerical methods for systems of highly oscillatory ordinary differential equations
Khanamiryan, Marianna (University of CambridgeDepartment of Applied Mathematics and Theoretical Physics, 2010-06-08)This thesis presents methods for efficient numerical approximation of linear and non-linear systems of highly oscillatory ordinary differential equations. Phenomena of high oscillation is considered a major computational ...
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Numerical solution of Sturm–Liouville problems via Fer streamers
Ramos, Alberto Gil Couto Pimentel (University of CambridgeDepartment of Applied Mathematics and Theoretical PhysicsHomerton College, 2016-06-28)The subject matter of this dissertation is the design, analysis and practical implementation of a new numerical method to approximate the eigenvalues and eigenfunctions of regular Sturm–Liouville problems, given in Liouville’s ...