Numerical integration
| Autor: | Kubat, Marina |
|---|---|
| Přispěvatelé: | Perić, Jurica, Klaričić Bakula, Milica, Bliznac Trebješanin, Marija |
| Jazyk: | chorvatština |
| Rok vydání: | 2018 |
| Předmět: |
Richardson extrapolation
Peanova jezgra Romberov algoritam Trapezoidal rule the Peano kernel theorem PRIRODNE ZNANOSTI. Matematika Romberg algorithm Gauss-Legendre formula Gauss-Legendreova formula Simpsonova formula NATURAL SCIENCES. Mathematics Simpson’s rule Trapezna formula Richardsonova ekstrapolacija |
| Popis: | Tema diplomskog rada je numeričko integriranje. U radu su izvedene Trapezna, Simpsonova i produljene formule. Također je obrađen Rombergov algoritam te Gaussove integracijske formule. Dana je ocjena greške koristeći teoriju Peanove jezgre. U primjerima je numerički izračunata približna vrijednost integrala, a također data prava vrijednost integrala, kako bi mogli pokazati kad je pojedina formula egzaktna za određenu funkciju. Subject of this master work is numerical integration. In order to introduce methods for numerical integration, we will briefly describe Trapezoidal rule, Simpson’s rule and extendet formulas. It’s also derived Romberg algorithm and Gauss integration formula. After extraction, the error of the formula are given using the Peano kernel theorem. In the examples, the approximate value of the integral is numerically calculated, and the true value if the integral is also given, in ordet to show when the particular formula is exact for a specific function. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|