Daesa

Algorithm 948: DAESA - a Matlab tool for structural analysis of differential-algebraic equations: theory. DAESA, Differential-Algebraic Equations Structural Analyzer, is a MATLAB tool for structural analysis of differential-algebraic equations (DAEs). It allows convenient translation of a DAE system into MATLAB and provides a small set of easy-to-use functions. DAESA can analyze systems that are fully nonlinear, high- index, and of any order. It determines structural index, number of degrees of freedom, constraints, variables to be initialized, and suggests a solution scheme. The structure of a DAE can be readily visualized by this tool. It also can construct a block-triangular form of the DAE, which can be exploited to solve it efficiently in a block-wise manner. This paper describes the theory and algorithms underlying the code.


References in zbMATH (referenced in 12 articles , 1 standard article )

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  1. McKenzie, Ross; Pryce, John: Structural analysis based dummy derivative selection for differential algebraic equations (2017)
  2. Tan, Guangning; Nedialkov, Nedialko S.; Pryce, John D.: Conversion methods for improving structural analysis of differential-algebraic equation systems (2017)
  3. McKenzie, Ross; Pryce, John D.: Solving differential-algebraic equations by selecting universal dummy derivatives (2016)
  4. Qin, Xiaolin; Tang, Juan; Feng, Yong; Bachmann, Bernhard; Fritzson, Peter: Efficient index reduction algorithm for large scale systems of differential algebraic equations (2016)
  5. Scholz, Lena; Steinbrecher, Andreas: Structural-algebraic regularization for coupled systems of DAEs (2016)
  6. Scholz, Lena; Steinbrecher, Andreas: Regularization of DAEs based on the signature method (2016)
  7. Steinbrecher, Andreas: Regularization and numerical integration of DAEs based on the signature method (2016)
  8. Tan, Guangning; Nedialkov, Nedialko S.; Pryce, John D.: Symbolic-numeric methods for improving structural analysis of differential-algebraic equation systems (2016)
  9. Nedialkov, Nedialko S.; Pryce, John D.; Tan, Guangning: Algorithm 948: DAESA -- a Matlab tool for structural analysis of differential-algebraic equations: software (2015)
  10. Pryce, J.; Nedialkov, N.; Tan, G.; McKenzie, R.: Exploiting block triangular form for solving DAEs: reducing the number of initial values (2015)
  11. Pryce, John D.; Nedialkov, Nedialko S.; Tan, Guangning: DAESA -- a Matlab tool for structural analysis of differential-algebraic equations: theory (2015)
  12. Tan, Guangning; Nedialkov, Nedialko S.; Pryce, John D.: A simple method for quasilinearity analysis of DAEs (2015)