ACMS 50051 - Numerical PDE Techniques for Scientists and Engineers

Institution:

University of Notre Dame

Subject:

Applied & Comp Math and Stats

Description:

Partial Differential Equations (PDEs) are ubiquitous in science and engineering and are usually discussed in classes as analytic solutions for specialized cases. This course will teach the students the basic methods for their numerical solution. The course starts with an overview of PDEs, then moves on to discuss finite difference approximations. Hyperbolic systems are introduced by the scalar advection and scalar non-linear conservation laws, followed by the Riemann problem for hyperbolic systems and approximate Riemann solvers. Multidimensional schemes for non-linear hyperbolic systems are then presented. Elliptic and parabolic systems and their solution methodologies are then discussed including Krylov subspace methods and Multigrid methods. The course explains the theory underlying the numerical solution of PDEs and also provides hands-on experience with computer codes. A recommended prerequisite for this course is programming courses or a programming background.

Credits:

3.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.nd.edu

Phone Number:

(574) 631-5000

Regional Accreditation:

North Central Association of Colleges and Schools

Calendar System:

Semester

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