A differential-equations algorithm for nonlinear equations
Copyright policy )A differential-equations algorithm for nonlinear equations
Summary: DAFNE is a set of FORTRAN subprograms for solving nonlinear equations that implements a method founded on the numerical solution of a Cauchy problem for a system of ordinary differential equations inspired by classical mechanics. This paper gives a detailed description of the method as implemented in DAFNE and reports on the numerical tests that have been performed; the DAFNE package is described in the accompanying algorithm. The main conclusions are that DAFNE improves in different substantial respects upon a previous FORTRAN implementation of the same method, and compares favorably with existing software. [The algorithm DAFNE: A differential-equations algorithm for nonlinear equations. ibid. 10, 317-324 (1984).]
- University of Rome Tor Vergata Italy
- Touro University Rome Italy
- Roma Tre University Italy
- University of Bari Aldo Moro Italy
- University of Camerino Italy
Software, source code, etc. for problems pertaining to field theory, FORTRAN subprograms, Numerical computation of solutions to systems of equations, differential-equations algorithm, iterative methods, DAFNE, Numerical methods for initial value problems involving ordinary differential equations
Software, source code, etc. for problems pertaining to field theory, FORTRAN subprograms, Numerical computation of solutions to systems of equations, differential-equations algorithm, iterative methods, DAFNE, Numerical methods for initial value problems involving ordinary differential equations
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