2010Computational Mathematics and Mathematical PhysicsRequires access

An embedded method for integrating systems of structurally separated ordinary differential equations

Alexey S. Eremin, Igor V. Olemskoy

Open publisher page 7 citations

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.

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Available 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.

Key concepts: Mathematics, Ordinary differential equation, Integrating factor, Backward differentiation formula, Differential algebraic equation, L-stability, Exponential integrator, Differential equation

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