CSC446H1: Computational Methods for Partial Differential Equations

Hours

24L/12T

Finite Difference and Finite Element methods for boundary value problems including 2-point boundary value problems and 2-dimensional problems. Convergence of methods. Efficiency of the solution of linear systems. Finite difference methods for initial value problems. Consistency, stability and convergence. Method of lines. Special topics of interest among domain decomposition, multigrid, FFT solvers. Ordinarily offered in years alternating with CSC466H1.

Prerequisite

CSC351H1/ ( CSC336H1 (75%))/ equivalent mathematical background; MAT237Y1/ MAT257Y1; APM346H1/ MAT351Y1/ ( MAT244H1/ MAT267H1 and exposure to PDEs)

Exclusion

NOTE: Students not enrolled in the Computer Science Major or Specialist program at A&S, UTM, or UTSC, or the Data Science Specialist at A&S, are limited to a maximum of 1.5 credits in 300-/400-level CSC/ECE courses.

Breadth Requirements

The Physical and Mathematical Universes (5)

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CSC446H1: Computational Methods for Partial Differential Equations