krj@utcsri.UUCP (Ken Jackson) (08/23/85)
Numerical Analysis Seminar Solving Stiff ODEs with Coupled Algebraic Equations on a Microcomputer System Per Grove Thomsen Technical University of Denmark Date: Tuesday, August 27, 1985. Time: 3:10 p.m. Place: Sandford Fleming Building, Room 3207, University of Toronto The typical problem in the design of engineering control systems leads to coupled algebraic and differential equations where the system may change at well-defined set-points. Mathematically, the problem will be that of solving a system of the form y' = f(y,z,t), h(y,z,t) = 0, y(t0) = y0, h(y0,z0,t0) = 0, where y is the vector of dynamic variables and z is the vector of state variables. The set-points are equivalent to points of discontinuity. The implementation is based on SDIRK methods with coupled algebraic equations and special interpolation formulae for smooth continuation of the solution and location of the discontinuities. The programming language is Pascal and the implementation runs on a 64K microcomputer.