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ES_APPM 446-1: Numerical Solution of Partial Differential Equations

Introductory course on using a range of finite-difference methods to solve initial-value and initial-boundary-value problems involving partial differential equations. The course covers theoretical ...
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On the Use of Stability Regions in the Numerical Analysis of Initial Value Problems

This is a preview. Log in through your library . Abstract This paper deals with the stability analysis of one-step methods in the numerical solution of initial (-boundary) value problems for linear, ...
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An Asymptotic Theory for a Class of Initial-Boundary Value Problems for Weakly Nonlinear Wave Equations with an Application to a Model of the Galloping Oscillations of Overhead ...

SIAM Journal on Applied Mathematics, Vol. 48, No. 6 (Dec., 1988), pp. 1227-1243 (17 pages) The aim of this paper is to contribute to the foundation of the asymptotic methods for initial-boundary value ...
Nature

Boundary Value Problems and Partial Differential Equations

Boundary value problems (BVPs) and partial differential equations (PDEs) are critical components of modern applied mathematics, underpinning the theoretical and practical analyses of complex systems.