Solving Differential Algebraic Equations by Taylor Series (III): the Daets Code
نویسندگان
چکیده
The authors have developed a Taylor series method for solving numerically an initial-value problem differential algebraic equation (DAE) that can be of high index, high order, nonlinear, and fully implicit, see BIT 45:561–592, 2005 and BIT 41:364-394, 2001. Numerical results have shown this method to be efficient and very accurate, and particularly suitable for problems that are of too high an index for present DAE solvers. This paper outlines this theory and describes the design, implementation, usage and performance of Daets, a DAE solver based on this theory and written in C++. c © 2008 European Society of Computational Methods in Sciences and Engineering
منابع مشابه
Solving Differential-algebraic Equations by Taylor Series (i): Computing Taylor Coefficients
This paper is one of a series underpinning the authors’ DAETS code for solving DAE initial value problems by Taylor series expansion. First, building on the second author’s structural analysis of DAEs (BIT 41 (2001) 364–394), it describes and justifies the method used in DAETS to compute Taylor coefficients (TCs) using automatic differentiation. The DAE may be fully implicit, nonlinear, and con...
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