An embedded method for integrating systems of structurally separated ordinary differential equations
Alexey S. Eremin, Igor V. Olemskoy
Abstract
Alexey S. Eremin, Igor V. Olemskoy
Abstract
An explicit embedded method of the Dormand-Prince type designed for integrating systems of ordinary differential equations of special form is examined. A family of economical fifth-order numerical schemes for integrating systems of structurally separated ordinary differential equations is constructed.
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An explicit embedded method of the Dormand-Prince type designed for integrating systems of ordinary differential equations of special form is examined. A family of economical fifth-order numerical schemes for integrating systems of structurally separated ordinary differential equations is constructed.
Key concepts: Mathematics, Ordinary differential equation, Integrating factor, Backward differentiation formula, Differential algebraic equation, L-stability, Exponential integrator, Differential equation