ENME631
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Advanced Numerical Methods For Engineers
Subject
ENME - Mechanical Engineering
Description
Introduction, mathematical modelling, sources of errors in the process of numerical analysis and solution methodology; Elements of numerical analysis, Taylor series, round-off error, truncation error, concept of stability, consistency and convergence; Linear algebra, normal forms, Gauss elimination method, LU-decomposition, tridiagonal systems of equations; iterative methods, Jacobi, Gauss-Seidel, SOR, SSOR methods, conjugate gradient methods and preconditioning and principles of the multi-grid methods; Elliptic \"equilibrium\" equation, Laplace and Poisson equations, finite difference and finite control volume concepts and stability analysis; Parabolic equations: explicit, implicit and Crank-Nicolson methods, time-splitting method, method of lines, Stability analysis; Hyperbolic equations; Introduction to other methods; future challenging problems.
Antirequisite(s): Credit for Mechanical Engineering 631 and Environmental Engineering 625 will not be allowed.
Antirequisite(s): Credit for Mechanical Engineering 631 and Environmental Engineering 625 will not be allowed.
Course Attributes
Fee Rate Group(Domestic) - B, Fee Rate Group(International) -D, GFC Hours (3-0), RCS Related
Courses may consist of a Lecture, Lab, Tutorial, and/or Seminar. Students will be required to register in each component that is required for the course as indicated in the schedule of classes. Practicums, internships or other experiential learning modalities are typically indicated as a Lab component.
Component
LEC
Units
3
Repeat for Credit
No
Subject code
ENME