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Showing 1 to 3 of 3 for “"highly oscillatory integrals"”.
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A Riemann-Hilbert Approach to the Kissing Polynomials
Motivated by the numerical treatment of highly oscillatory integrals, this thesis studies a family of polynomials known as the Kissing Polynomials through Riemann-Hilbert techniques. The Kissing Polynomials are a family of non-Hermitian orthogonal polynomials, which are orthogonal with respect to …
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Analytical and numerical techniques for wave scattering
… behaviour of waves incident on obstacles and are highly relevant to a raft of applications in the aerospace industry. The techniques considered in the present work can be broadly classed into two categories: analytically based methods which use special transforms and functions to provide a …