Bibliography

Jay:2007a
Laurent O. Jay (2007), Specialized Partitioned Additive Runge-Kutta Methods for Systems of Overdetermined DAEs with Holonomic Constraints, SIAM Journal on Numerical Analysis, 45, 1814-1842, 2007.
Kraus:2017
Michael Kraus (2017), Projected Variational Integrators for Degenerate Lagrangian Systems, arXiv:1708.07356, 2017.
MarsdenWest:2001
Matthew Marsden Jerrold E. AND West (2001), Discrete Mechanics and Variational Integrators, Acta Numerica, 10, 357-514, 2001.
Fangzong:2016
Wang Fangzong , Liao Xiaobing (2016), A Class of Lobatto Methods of Order 2s, International Journal of Applied Mathematics, 46, 6-10, 2016.
BlanesCasas:2016
Sergio Blanes , Fernando Casas (2016), A Concise Introduction to Geometric Numerical Integration, CRC Press, 2016.
LeimkuhlerReich:2004
Benedict Leimkuhler , Sebastian Reich (2004), Simulating Hamiltonian Dynamics, Cambridge University Press, 2004.
Rackauckas:2017
Christopher Rackauckas , Qing Nie (2017), DifferentialEquations.jl - A Performant and Feature-Rich Ecosystem for Solving Differential Equations in Julia, Journal of Open Research Software, 5, 15, 2017.
Jay:2003
Laurent O. Jay (2003), Solution of Index 2 Implicit Differential-Algebraic Equations by Lobatto Runge-Kutta Methods, BIT Numerical Mathematics, 43, 93-106, 2003.
HairerLubichWanner:2006
Ernst Hairer , Christian Lubich , Gerhard Wanner (2006), Geometric Numerical Integration, Springer, 2006.
Bezanson:2017
Jeff Bezanson , Alan Edelman , Stefan Karpinski , Viral B. Shah (2017), Julia: A Fresh Approach to Numerical Computing, Siam Review, 59, 65-98, 2017.
Jay:2007b
Laurent O. Jay (2007), Beyond conventional Runge-Kutta methods in numerical integration of ODEs and DAEs by use of structures and local models, Journal of Computational and Applied Mathematics, 204, 56-76, 2007.
Jay:2006
Laurent O. Jay (2006), Specialized Runge-Kutta methods for index 2 differential-algebraic equations, Mathematics of Computation, 75(254), 641-654, 2006.
SanzSernaCalvo:1994
Jesús María Sanz-Serna , Manuel P. Calvo (1994), Numerical Hamiltonian Problems, Chapman and Hall, 1994.
Jay:1998
Laurent O. Jay (1998), Structure Preservation for Constrained Dynamics with Super Partitioned Additive Runge-Kutta Methods, SIAM Journal on Scientific Computing, 20, 416-446, 1998.
Kraus:2020
Michael Kraus (2020), SPARK Methods for Degenerate Lagrangian Systems, In preparation, 2020.