Abstract:
Efficient schemes for the implementation of diagonally implicit Runge-Kutta methods are considered. Methods of 3-rd and 4-th orders are implemented. They are compared with known implicit solvers when applied to stiff and differential-algebraic problems.
This publication is cited in the following 6 articles:
E. B. Kuznetsov, S. S. Leonov, E. D. Tsapko, “Estimating the domain of absolute stability of a numerical scheme based on the method of solution continuation with respect to a parameter for solving stiff initial value problems”, Comput. Math. Math. Phys., 63:4 (2023), 528–541
L. M. Skvortsov, “Third- and fourth-order ESDIRK methods for stiff and differential-algebraic problems”, Comput. Math. Math. Phys., 46:5 (2022), 766–783
Uilhoorn F.E., “A Comparison of Numerical Integration Schemes For Particle Filter-Based Estimation of Gas Flow Dynamics”, Phys. Scr., 93:12 (2018), 125001
Ferdinand Evert Uilhoorn, “A comparison of numerical integration schemes for particle filter-based estimation of gas flow dynamics”, Phys. Scr., 93:12 (2018), 125001
G. Yu. Kulikov, “Embedded symmetric nested implicit Runge–Kutta methods of Gauss and Lobatto types for solving stiff ordinary differential equations and Hamiltonian systems”, Comput. Math. Math. Phys., 55:6 (2015), 983–1003
O. S. Kozlov, L. M. Skvortsov, “MVTU software package in the scientific research and applied developments”, Math. Models Comput. Simul., 8:4 (2016), 358–368
Citation in format AMSBIB
Contact us: