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252-0059-00L 4 Credits
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Introduction to Computational Science

Lecturers & Examiners: Dr. Petros Koumoutsakos
VVZ CR n/a

Last Updated: 2026-02-05 14:55:13

Abstract

Non-linear equations, Fundamentals of interpolation (points and functions), Nonlinear Least Squares, Optimization, Introduction to Symbolic computation.

Content

Non-linear equations: - iteration methods, single/multi point - polynomial zeros - Continuation Homotopy - multivariate problems Fundamentals of interpolation (points and functions): - interpolation, extrapolation - Lagrange, Newton, Aitken-Neville, Orthogonal polynomials - splines Nonlinear Least Squares: - Applications of SVD Optimization: - classical: Gradient, Hessian, Newton - Brent's algorithm - Interior point, barrier and penalty methods - Lagrange Formalism Introduction to Symbolic computation: - Exact arithmetic, representation of mathematical objects, operations on polynomials.

General Information

Language
English
Frequency
Yearly recurring

Examination

Type
end-of-semester examination

Course Components

Type Title Time & Place Hours
lecture Introduction to Computational Science
  • Wed 10:15-12:00 (HG E 7)
2 h weekly
exercise Introduction to Computational Science
  • Thu 13:15-14:00 (HG E 33.1)
  • Thu 13:15-14:00 (HG E 7)
  • Thu 13:15-14:00 (HG F 26.5)
  • Thu 13:15-14:00 (HG F 5)
  • Thu 13:15-14:00 (HG G 26.1)
  • Thu 13:15-14:00 (HG G 26.3)
  • Thu 13:15-14:00 (IFW A 34)
  • Thu 13:15-14:00 (ML J 34.3)
1 h weekly

Offered In