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Abstract: A broad class of partitioned differential equations with possible algebraic constraints is considered, including Hamiltonian and mechanical systems with holonomic constraints. For mechanical systems a formulation eliminating the Coriolis forces and closely related to the Euler-Lagrange equations is presented. A new class of integrators is defined: the super partitioned additive Runge-Kutta (SPARK) methods. This class is based on the partitioning of the system into different variables and on the ... (Update)
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...RK coefficients matrix. The methodology is particularly useful when applied to super partitioned additive Runge Kutta (SPARK) methods [22]. The nonlinear system can be solved by inexact Newton iterations: at each simplified Newton step the linear system can be approximately...
.... possibly stiff and implicit differential algebraic equations (DAEs) is considered, including Hessenberg DAEs of index 1, 2, and 3 [1,5,6,8,9]. These equations encompass the formulation of mechanical systems with mixed constraints of holonomic, nonholonomic, scleronomic, and...
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BibTeX entry: (Update)
L. O. Jay, Structure-preservation for constrained dynamics with super partitioned additive Runge-Kutta methods, tech. report, Dept. of Comp. Sci., Univ. of Minnesota, Minneapolis, USA, 1995. Submitted. http://citeseer.ist.psu.edu/jay98structure.html More
@article{ jay99structure,
author = "Laurent O. Jay",
title = "Structure Preservation for Constrained Dynamics with Super Partitioned Additive {Runge--Kutta} Methods",
journal = "SIAM Journal on Scientific Computing",
volume = "20",
number = "2",
pages = "416--446",
year = "1999",
url = "citeseer.ist.psu.edu/jay98structure.html" }
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