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 Indicate discontinuities), a code can be more efficient. Atechnique for detection and location of a discontinuity IS discussed 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.
All Science Journal Classification (ASJC) codes
- Applied Mathematics
- differential equations