Solving Ordinary Differential Equations with Discontinuities

作者：C. William Gear, O. Osterby · 发表于：ACM Transactions on Mathematical Software · 年份：1984 · DOI：10.1145/356068.356071 · 被引用次数：109 · 研究领域：Numerical methods for differential equations、Polynomial and algebraic computation、Matrix Theory and Algorithms

Automatic codes for differential equations can be inadequate when the solutions have discontinuities.If the user provides an external mdicator for discontinuities (e.g., a switching function whose sign changes mdicate discontinuities), a code can be more efficient.A technique for detection and location of a discontinmty ts dtscussed which can be implemented when such indicators are not practical.It estimates the order and magmtude of the discontinuity and hence the stepsize which keeps the error under control while stepping over the discontinuity.