3 citations · 8 across the 6 of their papers we have counts for
6 papers
How AD Can Help Solve Differential-Algebraic Equations
John D. Pryce, Nedialko S. Nedialkov, Guangning Tan +1
A characteristic feature of differential-algebraic equations is that one needs to find derivatives of some of their equations with respect to time, as part of so called index reduc…
Conversion Methods, Block Triangularization, and Structural Analysis of Differential-Algebraic Equation Systems
Guangning Tan, Nedialko S. Nedialkov, John D. Pryce
In a previous article, the authors developed two conversion methods to improve the -method for structural analysis (SA) of differential-algebraic equations (DAEs). These methods…
Conversion Methods for Improving Structural Analysis of Differential-Algebraic Equation Systems
Guangning Tan, Nedialko S. Nedialkov, John D. Pryce
Differential-algebraic equation systems (DAEs) are generated routinely by simulation and modeling environments. Before a simulation starts and a numerical method is applied, some k…
Symbolic-numeric methods for improving structural analysis of differential-algebraic equation systems
Guangning Tan, Ned S. Nedialkov, John D. Pryce
Systems of differential-algebraic equations (DAEs) are generated routinely by simulation and modeling environments such as Modelica and MapleSim. Before a simulation starts and a n…
Graph theory, irreducibility, and structural analysis of differential-algebraic equation systems
John D. Pryce, Nedialko S. Nedialkov, Guangning Tan
The -method for structural analysis of a differential-algebraic equation (DAE) system produces offset vectors from which the sparsity pattern of a system Jacobian is derived. Th…
Exploiting Fine Block Triangularization and Quasilinearity in Differential-Algebraic Equation Systems
Nedialko S. Nedialkov, Guangning Tan, John D. Pryce
The -method for structural analysis of a differential-algebraic equation (DAE) system produces offset vectors from which the sparsity pattern of DAE's system Jacobian is derived…