Imperial College London

ProfessorXuesongWu

Faculty of Natural SciencesDepartment of Mathematics

Professor of Applied Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 8494x.wu Website

 
 
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Location

 

738Huxley BuildingSouth Kensington Campus

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Summary

 

Asymptotic Analysis - MATH96020

Aims

Asymptotic series and expansions. Asymptotic expansion of integrals, Laplace method, Watson's lemma, stationary phase and steepest descent. Singular perturbations, matched asymptotic expansions: inner/outer expansions and the matching principle, boundary layers and interior layers. Multiple-scale method, Poincare-Lindstedt method, method of strained coordinate, averaging method, non-linear oscillations. Differential equations with a large parameter - the WKBJ method, turning point problems, caustics.

 

Role

Lecturer

Asymptotic Analysis - MATH97029

Aims

Asymptotic series and expansions. Asymptotic expansion of integrals, Laplace method, Watson's lemma, stationary phase and steepest descent. Singular perturbations, matched asymptotic expansions: inner/outer expansions and the matching principle, boundary layers and interior layers. Multiple-scale method, Poincare-Lindstedt method, method of strained coordinate, averaging method, non-linear oscillations. Differential equations with a large parameter - the WKBJ method, turning point problems, caustics.

Role

Lecturer

Asymptotic Analysis  - M5M7

Aims

Asymptotic series and expansions. Asymptotic expansion of integrals, Laplace method, Watson's lemma, stationary phase and steepest descent. Singular perturbations, matched asymptotic expansions: inner/outer expansions and the matching principle, boundary layers and interior layers. Multiple-scale method, Poincare-Lindstedt method, method of strained coordinate, averaging method, non-linear oscillations. Differential equations with a large parameter - the WKBJ method, turning point problems, caustics.

Role

Lecturer