论文信息 - DELSOL: a numerical code for the solution of systems of delay-differential equations

DELSOL: a numerical code for the solution of systems of delay-differential equations

Abstract Delay-differential equations arise widely in many fields of science and engineering. In this paper we present an overview of a general purpose code—DELSOL—written to solve systems of such equations. Special attention is given to the program's organisation and design. A number of numerical examples are also presented alongside a number of technical observations pertinent to the design of delay-differential software.

Christopher T. H. Baker | David R. Willé | D. R. Willé | C. Baker

[1] Lawrence F. Shampine,et al. Starting BDF and Adams codes at optimal order , 1988 .

[2] D. Arnold,et al. Computer Solution of Ordinary Differential Equations. , 1981 .

[3] Christopher T. H. Baker,et al. The tracking of derivative discontinuities in systems of delay-differential equations , 1992 .

[4] Marino Zennaro,et al. Numerical solution of delay differential equations by uniform corrections to an implicit Runge-Kutta method , 1985 .

[5] Alfredo Bellen,et al. One-step collocation for delay differential equations , 1984 .

[6] L. Glass,et al. PATHOLOGICAL CONDITIONS RESULTING FROM INSTABILITIES IN PHYSIOLOGICAL CONTROL SYSTEMS * , 1979, Annals of the New York Academy of Sciences.

[7] Colin W. Cryer,et al. NUMERICAL METHODS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS , 1972 .

[8] John L. Casti,et al. Introduction to the theory and application of differential equations with deviating arguments , 1973 .

[9] Kenneth W. Neves. Automatic Integration of Functional Differential Equations: An Approach , 1975, TOMS.

[10] John Elder,et al. Introduction to Modula-2 , 1987, Prentice Hall International Series in Computer Science.

[11] John Guckenheimer,et al. THE BIFURCATION OF QUADRATIC FUNCTIONS * , 1979 .