Course: Numerical Methods
Code: 3ФЕИТ08020
ECTS points: 6 ЕКТС
Number of classes per week: 3+0+0+3
Lecturer: Prof. Dr. Sonja Gegovska – Zajkova
Course Goals (acquired competencies): After completing this course, student should be able to construct mathematical models and use different techniques for numerical solving of different problems in engineering, natural and social sciences. Student should adopt the most frequently used numerical methods and be able to choose f the most suitable method based on numerical precision, efficiency and stability.
Course Syllabus: Mathematical modelling. General iterative procedures (convergence, error estimation, exit criteria). General iterative procedures for solving equations and systems of equations. Local convergence. Interpolation, approximation and fitting functions. Numerical solving of ordinary differential equations: linear multistep methods, Runge-Kutta methods, solving systems of differential equations. Initial and boundary value problems. Numerical solving partial differential equations: finite differences, discretization, consistency, convergence and stability. Application of numerical methods in solving engineering problems.
Literature:
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Required Literature |
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No. |
Author |
Title |
Publisher |
Year |
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1 |
S. C. Chapra | Applied Numerical Methods with Matlab for Engineers and Sciencists | McGraw-Hill Science/Engineering/Math, 3rd ed. | 2012 |
|
2 |
W. Y. Yang, W. Cao, T. Chung, J. Morris | Applied Numerical Methods using Matlab | A Јohn Wiley & Sons, Inc., Publication | 2015 |
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3 |
S. Larsson, V. Thomée | Partial Differential Equations with Numerical Methods | Springer | 2008 |
