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Efficient automatic integration of ordinary differential equations with discontinuities

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  • Ellison, D.

Abstract

This paper describes a method of automatically detecting and accurately locating discontinuities which occur in many applications of ordinary differential equations. The integration formula is a Runge-Kutta so chosen that accurate values between integration points can be found by Hermite interpolation.

Suggested Citation

  • Ellison, D., 1981. "Efficient automatic integration of ordinary differential equations with discontinuities," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 23(1), pages 12-20.
    • Handle: RePEc:eee:matcom:v:23:y:1981:i:1:p:12-20
    DOI: 10.1016/0378-4754(81)90003-3
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    References listed on IDEAS

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    1. Shampine, L.F., 1978. "Solving ordinary differential equations for simulation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 20(3), pages 204-207.
    2. Carver, M.B., 1978. "Efficient integration over discontinuities in ordinary differential equation simulations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 20(3), pages 190-196.
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    Cited by:

    1. Korn, Granino A., 1987. "Tricks and treats: Nonlinear operations in digital simulation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 29(2), pages 129-143.

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