18.311 Principles of Applied Mathematics, Spring 2003

Rosales, Rodolfo

Author(s)

Rosales, Rodolfo

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Alternative title

Principles of Applied Mathematics

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Abstract

Introduction to fundamental concepts in "continuous" applied mathematics. Extensive use of demonstrational software. Discussion of computational and modelling issues. Nonlinear dynamical systems; nonlinear waves; diffusion; stability; characteristics; nonlinear steepening, breaking and shock formation; conservation laws; first-order partial differential equations; finite differences; numerical stability; etc. Applications to traffic problems, flows in rivers, internal waves, mechanical vibrations and other problems in the physical world.

Date issued

2003-06

URI

http://hdl.handle.net/1721.1/34883

Other identifiers

18.311-Spring2003

local: 18.311

local: IMSCP-MD5-e53584baeed8b7ddda4fe752fcfed66b

Keywords

Nonlinear dynamical systems, nonlinear waves, diffusion, stability, characteristics, nonlinear steepening, breaking and shock formation, conservation laws, first-order partial differential equations, finite differences, numerical stability, traffic problems, flows in rivers, internal waves, mechanical vibrations

Collections

Mathematics (18) - Archived