Two continuous (4, 5) pairs of explicit 9-stage Runge-Kutta methods
Misha Stepanov
TL;DR
This paper introduces an 11-dimensional family of embedded explicit 9-stage Runge-Kutta methods with high-order interpolants, and presents two optimized pairs for improved computational efficiency.
Contribution
It derives a new family of embedded Runge-Kutta methods with high-order interpolants and identifies two optimized pairs for efficiency.
Findings
Derived an 11-dimensional family of methods
Presented two optimized efficiency pairs
Achieved high-order interpolants of order 5
Abstract
An 11-dimensional family of embedded (4, 5) pairs of explicit 9-stage Runge-Kutta methods with an interpolant of order 5 is derived. Two optimized for efficiency pairs are presented.
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Taxonomy
TopicsNumerical methods for differential equations · Electromagnetic Simulation and Numerical Methods · Induction Heating and Inverter Technology