18.311 Principles of Applied Mathematics, Spring 2003

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Author(s)
Rosales, Rodolfo
Alternative Title
Principles of Applied Mathematics
Date Issued
June 2003
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.
Subjects
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
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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