Spring 2022 MATH 228B 001 LEC

Numerical Solution of Differential Equations
001 LECTuTh 02:00PM - 03:29PMEtcheverry 3111Per-Olof Sigfrid Persson25040
UnitsEnrollment StatusSession
4Open2022 Spring, January 18 - May 06
Additional Information: 

Prerequisites 128A/228A and programming skills, or permission from instructor.

Description Theory and practical methods for numerical solution of partial differential equations. Finite difference methods for elliptic, parabolic and hyperbolic equations, stability, accuracy and convergence, von Neumann analysis and CFL conditions. Finite volume methods for hyperbolic conservation laws, finite element methods for elliptic and parabolic equations, discontinuous Galerkin methods for first and second order systems of conservation laws. Other topics include efficient implementation, numerical linear algebra solvers such as the multigrid method, structured and unstructured mesh generation, and applications of the techniques to a range of equations.

Office 1081 Evans Hall

Office Hours TBD

Required Text 

R. J. LeVeque, Finite Difference Methods for Ordinary and Partial Differential Equations, Steady State and Time Dependent Problems, SIAM 2007.

Recommended Reading 

R. J. LeVeque, Finite Volume Methods for Hyperbolic Problems, Cambridge, 2002. ISBN 978-0521009249.
C. Johnson, Numerical Solution of Partial Differential Equations by the Finite Element Method, Dover, 2009. ISBN 978-0486469003. 

Grading Letter grade.

Homework 7 extensive problem sets.

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