SIAM Review · 1999 · 442 citations · 9 references
Natural SciencesComputer ScienceMathematicsDifferential EquationsDynamical SystemsScientific ComputingDynamic SimulationNumerical IntegrationNumerical Methods For Differential EquationsSimulation MethodsSimulation ModelingSystems Of Differential EquationsDifferential Equation SolversNonlinear Differential-algebraic EquationsNumerical ModelingNumerical SimulationSimulink Models
This paper describes mathematical and software developments needed for the effective solution of differential algebraic equations of index 1 in the integrated computing environment MATLAB and the dynamic simulation package Simulink. The developments are applicable to other problem-solving environments and some are applicable to general scientific computation.
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L. F. Shampine, Mark W. Reichelt · SIAM Journal on Scientific Computing · 1997 · 3.6K citations · Full text
Natural Sciences, Computer Science, Differential Equations +9