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NODE961

Numerical solution of ordinary differential equations

  • One-step methods (Euler, Taylor and Runge-Kutta)
  • Multistep methods (Adams-Bashforth-Moulton and predictor-corrector)
  • Error analysis of one-step and multistep methods (definition of local and global truncation errors, convergence and various stability)
  • Methods for solving stiff (system) differential equations
  • Algebraic differential equations and solving them
  • Numerical solution of boundary value problems
  • Some numerical methods for solving some integral equations
Prerequisites: 
  • Advance numerical analysis
  • Ordinary differential equations
  • A scientific programming language such as MATLAB
Grading Policy: 
  • 5-7 points for homeworks, projects and seminars
  • 6-7 points miterm examination
  • 7-8 points final examination
Time: 

Sundays & Tuesdays 13-15

Term: 
Fall 2017
Grade: 
Graduate