470-2502/02 – Numerical Methods with Matlab (NMM)
| Gurantor department | Department of Applied Mathematics | Credits | 4 |
| Subject guarantor | doc. Ing. Dalibor Lukáš, Ph.D. | Subject version guarantor | doc. Ing. Dalibor Lukáš, Ph.D. |
| Study level | undergraduate or graduate | Requirement | Optional |
| Year | 2 | Semester | winter |
| | Study language | English |
| Year of introduction | 2015/2016 | Year of cancellation | |
| Intended for the faculties | FEI | Intended for study types | Bachelor |
Subject aims expressed by acquired skills and competences
Advanced concepts towards solution to engineering problems are signal analysis, or numerical solution of differential equations to name a few. In this course, the students get more involved into numerical methods using Matlab.
Teaching methods
Lectures
Tutorials
Project work
Summary
Subject of lectures is description of basic numerical methods which are used for solution of problems in engineering.
Compulsory literature:
Quarteroni A., Sacco R., Saleri F.: Numerical mathematics, Springer, 2007
Press, W.H., Flannery, B.P., Teukolski, S.A., Vetterling, W.T.: Numerical Recipes in C. Cambridge University Press, Cambridge 1990.
Recommended literature:
Quarteroni A., Sacco R., Saleri F.: Numerical mathematics, Springer, 2007
Press, W.H., Flannery, B.P., Teukolski, S.A., Vetterling, W.T.: Numerical Recipes in C. Cambridge University Press, Cambridge 1990.
Additional study materials
Way of continuous check of knowledge in the course of semester
Conditions for credit:
Project (minimum 15 points).
E-learning
Other requirements
No additional requirements are imposed on the student.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
Topics:
1. Introduction to Matlab.
2. Data fiting - Lagrange and Chebyshev interpolation, least-square method, polygonal regression, fast Fourier
transform.
3. Numerical integration - Newton-Cotes, Gauss-Legendre, and Gauss-Hermite formula.
4. Iterative methods for nonlinear equations - bisection, fixed point iterations, Newton method.
5. Numerical solution of ordinary differential equations - one-step Euler and Crank-Nicholson methods, multi-step Runge-Kutta methods, predictor-corrector, Galerkin, and parareal methods.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
Předmět neobsahuje žádné hodnocení.