Numerical solution of partial differential equations

Louise Olsen-Kettle (2011). Numerical solution of partial differential equations.

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Title Numerical solution of partial differential equations
Abstract/Summary Lecture notes on numerical solution of partial differential equations. Topics include parabolic and hyperbolic partial differential equations, explicit and implicit methods, iterative methods, finite difference, stability and error analysis, finite element method, spectral method, central difference method, Forward Euler method, Backward Euler method, Lax method, Jacobi method, Gauss-Seidel method, relaxation methods, wave equation, diffusion and heat equation, nonlinear partial differential equations, soliton, shock wave, Korteweg-de-Vries equation, nonlinear inviscid Burger's equation, method of characteristics.
Keyword Partial Differential Equations (PDEs)
Parabolic
Hyperbolic
Finite difference
Spectral method
Finite element method
Iterative methods
Nonlinear Partial Differential Equations
Date 2011-03-29
Research Fields, Courses and Disciplines 010302 Numerical Solution of Differential and Integral Equations
Author Louise Olsen-Kettle
Institutional Status UQ

Document type: Generic Document
Collection: Earth Systems Science Computational Centre Publications
 
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Created: Tue, 29 Mar 2011, 14:14:38 EST by Dr Louise Olsen-Kettle on behalf of Earth Systems Science Computational Centre