DAMSL-203 Numerical Approximation of DEs

DAMSL-203 Numerical Approximation of DEs

Type

Elective

Course Code

DAMSL-203

Teaching Semester

B semester

ECTS Credits

10

Student Performance Evaluation

The final grade will be based on homework/lab assignments and/or the final Exam/Project

Prerequisite Courses

Calculus I , Linear Algebra I, Python, Differential Equations

Syllabus
  1. The initial value problem (IVP) for ordinary differential equations
    • Euler and Euler like methods
    • Runge-Kutta Methods
    • Multistep Methods
    • Consistency, Stability and Accuracy of the methods
  1. Two-point boundary value problem: finite difference method
  2. Finite difference methods for partial differential equations
    • The Poisson problem
    • The heat equation
Learning Outcomes

After successful completion of the course the students will be able/have to

    • Good knowledge of the basic numerical methods for solving differential equations
    • Very good understanding of their stability and accuracy properties
    • Implement the methods and obtain solutions of basic applied problems.
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