Browsing Department of Mathematics by Subject "Differential equations, Nonlinear -- Numerical solutions"

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The Davey-Stewartson equations : a numerical study

White, Peter W. (1994-06-29)

In 1974 Davey and Stewartson used a multi-scale analysis to derive a coupled system of nonlinear partial differential equations which describes the evolution of a three dimensional wave packet in water of a finite dept ...
Numerical inversion of laplace transforms by the trapezoidal-type methods

Lin, FuSen F. (2003-09-03)

In this dissertation, we investigate three numerical methods for inverting the Laplace transform. These methods are all based on the trapezoidal-type approximations to the Bromwich integral. The first method is the dir ...