Numerical Methods for Partial Differential Equations

Spring 2025 > Engineering/Engineering Technology > MECH.5200 > 031V

Course No: MECH.5200-031V; SIS Class Nbr: 13963; SIS Term: 3430
Course Status: Open

Course Description

Mathematical approaches for numerically solving partial differential equations. The focus will be (a) iterative solution methods for linear and non-linear equations, (b) spatial discretization and meshing (c) finite difference methods (FDM), (d) finite volume methods (FVM), (e) finite element methods (FEM) and (f) boundary element methods (BEM). The theory behind of each of these methods will be developed and discussed. Computer programming applications involving the solution of linear and non-linear PDEs in multiple dimensions will play a key role in this course. Unique computer programming assignments will be selected from different engineering/science fields (possibilities include: fluid flow, heat transfer, electrostatics, electromagnetism, structural analysis, medical, ocean engineering etc.) to illustrate the broad applicability of numerical methods. Students will be expected to complete programming assignments -- while most class examples will deal with pseudo code and/or matlab, a working knowledge of one of the following programming languages is recommended: Matlab, Octave, C, C++, fortran, Java, BASIC, or Python.

Prerequisites, Notes & Instructor

  • Prerequisites: Students with a CSCE career need permission to take Graduate Level Courses.
  • Section Notes: HyFlex Course
  • Core Codes: STEM, HYFX
  • Credits: 3; Contact Hours: 3
  • Instructor: David Willis
  • UMass Lowell Bookstore

When Offered & Tuition

  • W | 6:30 PM-9:20 PM ET Online
  • 2025 Spring: Jan 21 to May 08
  • Course Level: Graduate
  • Tuition: $2250
  • Note: There is a $30 per semester registration fee for credit courses.

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