Numerical Mathematics A (E01A049)

Katedra: | ústav technické matematiky (12101) | ||

Zkratka: | Schválen: | 06.02.2009 | |

Platí do: | ?? | Rozsah: | 0P+0C |

Semestr: | * | Kredity: | 2 |

Zakončení: | ZK | Jazyk výuky: | EN |

Anotace

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.

Osnova

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.

Osnova cvičení

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.

Literatura

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