Nested Implicit Runge–Kutta Pairs of Gauss and Lobatto Types with Local and Global Error Controls for Stiff Ordinary Differential Equations

The problem of efficient global error estimation and control is studied in embedded nested implicit Runge–Kutta pairs of Gauss and Lobatto types as applied to stiff ordinary differential equations (ODEs). Stiff problems may arise in many areas of engineering, and their accurate numerical solution is...

Celý popis

Uložené v:

Podrobná bibliografia
Vydané v:	Computational mathematics and mathematical physics Ročník 60; číslo 7; s. 1134 - 1154
Hlavný autor:	Kulikov, G. Yu
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Moscow Pleiades Publishing 01.07.2020 Springer Nature B.V
Predmet:	Applications of mathematics Computational Mathematics and Numerical Analysis Differential equations Error analysis Mathematical analysis Mathematics Mathematics and Statistics Numerical integration Ordinary differential equations Runge-Kutta method Solvers automatic local and global error controls embedded nested implicit Runge–Kutta pairs of Gauss and Lobatto types absolute and scaled local and global error estimates ordinary differential equation stiff problem
ISSN:	0965-5425, 1555-6662
On-line prístup:	Získať plný text
Tagy:	Pridať tag Žiadne tagy, Buďte prvý, kto otaguje tento záznam!

Buďte prvý, kto okomentuje tento záznam!