Pantelides algorithm in
mathematics is a systematic method for reducing high-index systems of
differential-algebraic equations to lower index. This is accomplished by selectively adding differentiated forms of the equations already present in the system. It is possible for the
algorithm
In mathematics and computer science, an algorithm () is a finite sequence of rigorous instructions, typically used to solve a class of specific problems or to perform a computation. Algorithms are used as specifications for performing ...
to fail in some instances.
Pantelides algorithm is implemented in several significant equation-based simulation programs such as gPROMS,
Modelica
Modelica is an object-oriented, declarative, multi-domain modeling language for component-oriented modeling of complex systems, e.g., systems containing mechanical, electrical, electronic, hydraulic, thermal, control, electric power or process-o ...
and
EMSO.
EMSO
a free-to-use closed-source simulator/equation solver that includes implementation for the Pantelides algorithm.
References
Numerical differential equations
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