## OCCAL

 swMATH ID: 2131 Software Authors: Schöpf, Rainer; Deuflhard, Peter Description: OCCAL. A mixed symbolic-numeric optimal control calculator The numerical solution of optimal control problems by indirect methods (such as multiple shooting or collocation) requires a considerable amount of analytic calculation to establish a numerically tractable system. These analytic calculations, though being rather tedious in realistic examples, are nowadays mostly still done by hand – and thus prone to calculation errors. The paper aims at automating this analytic processing to a reasonable extent by means of a modern symbolic manipulation language (here: REDUCE). In its present stage of development the package OCCAL (mnemotechnically for  Optimal  Control $$underline{ ext{CAL}}$$culator) permits an interactive use, covering tasks like automatic determination of control and, in case of a singular control, of its order.par In simpler problems, the present version of OCCAL automatically produces the full subroutine input for a MULtiple shooting code (MULCON) with adaptive numerical CONtinuation.par In more complicated problems where singular sub-arcs may occur or where the sequence of sub-arcs of the optimal trajectory is unclear OCCAL is a significant help in reducing analytic pre-processing. Examples illustrate the performance of OCCAL/MULCON. Homepage: http://rd.springer.com/chapter/10.1007/978-3-0348-8497-6_21 Keywords: numerical solution; multiple shooting; collocation Related Software: MISER3; TOMP; REDUCE; ipfilter; SnadiOpt; OTIS; SOCS; NPSOL; Ipopt; ADIFOR Cited in: 4 Publications

### Standard Articles

1 Publication describing the Software, including 1 Publication in zbMATH Year
OCCAL. A mixed symbolic-numeric optimal control calculator. Zbl 0798.49002
Schöpf, Rainer; Deuflhard, Peter
1994
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### Cited by 8 Authors

 1 Caccetta, Louis 1 Callies, Rainer 1 Deuflhard, Peter 1 Lee, Wei Rong 1 Rehbock, Volker 1 Rentrop, Peter 1 Schöpf, Rainer 1 Teo, Kok Lay

### Cited in 3 Serials

 1 ACM Transactions on Mathematical Software 1 Journal of Global Optimization 1 GAMM-Mitteilungen

### Cited in 4 Fields

 4 Calculus of variations and optimal control; optimization (49-XX) 3 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX)