18.311 Principles of Applied Mathematics, Spring 2003
Principles of Applied Mathematics
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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.
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