Quadrature and Runge-Kutta formulas

DOI10.1016/0096-3003(76)90013-8zbMath0349.65044OpenAlexW2064069450WikidataQ127087510 ScholiaQ127087510MaRDI QIDQ1234990

Lawrence F. Shampine

Publication date: 1976

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(76)90013-8

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical integration (65D30)

Related Items (9)

Sensitivity analysis for dynamic systems with time-lags ⋮ The art of writing a Runge-Kutta code. II ⋮ A family of embedded Runge-Kutta formulae ⋮ Computer aided symbolic solution of multi-point boundary value problems occurring in physics and engineering ⋮ Numerical treatment of delay differential equations by Hermite interpolation ⋮ Detecting stiffness with the Fehlberg (4,5) formulas ⋮ Solving ordinary differential equations for simulation ⋮ An efficient Runge-Kutta \((4,5)\) pair ⋮ Some old and new Runge-Kutta formulas with stepsize control and their error coefficients

Cites Work

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• An initial-value method for integral operators. V: Kernels depending upon a parameter
• Klassische Runge-Kutta-Formeln fünfter und siebenter Ordnung mit Schrittweiten-Kontrolle
• Introduction to the constructive theory of functions
• High-order Explicit Runge-Kutta Formulae, Their Uses, and Limitations
• Runge-Kutta Methods with Constrained Minimum Error Bounds
• Some Fifth-Order Classical Runge-Kutta Formulas
• An Explicit Sixth-Order Runge-Kutta Formula
• Further Explicit Fifth-Order Runge-Kutta Formulas
• Some Explicit Runge”Kutta Methods of High Order

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