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MA 788 Numerical Nonlinear Partial Differential Equations

²Ñ´¡Ìý788ÌýÌýNumerical Nonlinear Partial Differential EquationsÌýÌý(3 credit hours)ÌýÌý

A review of modern numerical techniques for time-dependent nonlinear partial differential equations. Topics include Finite Difference, Finite Volume, Particle and Hybrid Eulerian- Lagrangian Methods; Splitting Methods and Implicit-Explicit Discretization; Spectral and Pseudo-Spectral Methods including Stochastic Galerkin and Stochastic Collocation Methods, and others. Applications including problems in fluid and gas dynamics, geophysics, meteorology, astrophysics, biology, and other fields.

Prerequisite: ²Ñ´¡Ìý401 or ²Ñ´¡Ìý427 or ²Ñ´¡Ìý428; knowledge of a high level programming language

Typically offered in Spring only

This course is offered alternate years