NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

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Course Code: 
MTC 7204
Course Credit Units: 
2
Semester: 
Semester 2
Year of Study: 
Year 1
Undergraduate or Graduate Level: 
Graduate Level
Course Description & Objectives: 

This is course is on use of numerical schemes with  emphasis in the solution of Partial Differential Equations, more especially  using Finite Differences.  It considers also  Spectral Methods. The course covers the numerical solution of elliptic, hyperbolic, and parabolic equations.   The instructor can make a review,  briefly, of  the solution of linear systems of equations, with emphasis in Fast Poisson solvers, such as solution by Fast Fourier Transform. During the course illustrations can be made using  the methods studied with applications from different areas, such as Fluid Dynamics.  The course will have a strong theoretical component and computation element that will involve some programming in Matlab 

Learning Outcomes: 

At the end of the course the student should be able to

  • know the basic concepts in the numerical solution of PDEs
  • formulate numerical methods for solving PDEs and study their properties
  • implement the above methods efficiently on the computer
  • use MATLAB to study the properties of linear systems arising from the discretisation of PDEs
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NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
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