Numerical Mathematics A

Lecturer:

Tomáš Neustupa (gar.)

Tutor:

Tomáš Neustupa (gar.)

Supervisor:

Department of Technical Mathematics

Synopsis:

Numerical solution of linear and non-linear systems. Basics of interpolation and approximation of functions, least squares method. Numerical solution of ordinary differential equations. Solution od basic linear partial differential equations usinf finite differences method.

Requirements:

Syllabus of lectures:

Systems of linear equations, direct and iterative methods. Non-linear systems, Newton method. Polynomial interpolation, spline interpolation. Least squares method approximation. Runge-Kutta type methods for solution of initial value probles for systems of ordinary differential equations. Boundary value problems for 2nd order ordinary differential equations. Method of finite differences for basic types of linear 2nd order partial differential equations.

Syllabus of tutorials:

Systems of linear equations, direct and iterative methods. Non-linear systems, Newton method. Polynomial interpolation. Least squares method approximation. Runge-Kutta type methods for solution of initial value probles for systems of ordinary differential equations. Boundary value problems for 2nd order ordinary differential equations. Method of finite differences for basic types of linear 2nd order partial differential equations.

Study Objective:

Study materials:

Note:

Time-table for winter semester 2011/2012:

Time-table is not available yet

Time-table for summer semester 2011/2012:

Time-table is not available yet

The course is a part of the following study plans: