Publications
2006
S. M. Jalnapurkar, M. Leok, J. E. Marsden and M. West, Discrete Routh reduction, Journal of Physics A: Mathematical and General 39(19), 5521-5544, 2006.
S. Lall and M. West, Discrete variational Hamiltonian mechanics, Journal of Physics A: Mathematical and General 39(19), 5509-5519, 2006.
2005
H. S. Bhat, R. C. Fetecau, J. E. Marsden, K. Mohseni and M. West, Lagrangian averaging for compressible fluids, Multiscale Modeling and Simulation 3(4), 818-837, 2005.
F. Cirak and M. West, Decomposition contact response (DCR) for explicit finite element dynamics, International Journal for Numerical Methods in Engineering 64(8), 1078-1110, 2005.
T. Wang, S. Lall and M. West, Polynomial level-set methods for nonlinear dynamical systems analysis, in Proceedings of the Allerton Conference on Communication, Control, and Computing 2005, 640-649, 2005.
2004
A. Lew, J. E. Marsden, M. Ortiz and M. West, An overview of variational integrators, in Finite Element Methods: 1970's and Beyond, L. P. Franca, T. E. Tezduyar and A. Masud (editors), 98-115, CIMNE, ISBN: 84-95999-49-8, 2004.
A. Lew, J. E. Marsden, M. Ortiz and M. West, Variational time integrators, International Journal for Numerical Methods in Engineering 60(1), 153-212, 2004.
M. Oliver, M. West and C. Wulff, Approximate momentum conservation for spatial semidiscretizations of semilinear wave equations, Numerische Mathematik 97(3), 493-535, 2004.
M. West, Variational integrators, Ph.D. thesis, California Institute of Technology, 2004.
2003
R. C. Fetecau, J. E. Marsden, M. Ortiz and M. West, Nonsmooth Lagrangian mechanics and variational collision integrators, SIAM Journal on Applied Dynamical Systems 2(3), 381-416, 2003.
R. C. Fetecau, J. E. Marsden and M. West, Variational multisymplectic formulations of nonsmooth continuum mechanics, in Perspectives and Problems in Nonlinear Science, E. Kaplan, J. E. Marsden and K. R. Sreenivasan (editors), 229-261, Springer-Verlag, ISBN: 0-387-00312-6, 2003.
A. Lew, J. E. Marsden, M. Ortiz and M. West, Asynchronous variational integrators, Archive for Rational Mechanics and Analysis 167(2), 85-146, 2003.
2001
J. E. Marsden, S. Pekarsky, S. Shkoller and M. West, Variational methods, multisymplectic geometry and continuum mechanics, Journal of Geometry and Physics 38(3-4), 253-284, 2001.
J. E. Marsden and M. West, Discrete mechanics and variational integrators, Acta Numerica 10, 357-514, 2001.
2000
C. Kane, J. E. Marsden, M. Ortiz and M. West, Variational integrators and the Newmark algorithm for conservative and dissipative mechanical systems, International Journal for Numerical Methods in Engineering 49(10), 1295-1325, 2000.
M. West, C. Kane, J. E. Marsden and M. Ortiz, Variational integrators, the Newmark scheme, and dissipative systems, in EQUADIFF 99 (Vol. 2): Proceedings of the International Conference on Differential Equations, B. Fiedler, K. Gröger and J. Sprekels (editors), 1009-1011, World Scientific, ISBN: 981-02-4359-6 (set), 981-02-4989-6 (Vol. 2), 2000.
1998
D. Allingham, M. West and A. I. Mees, Wavelet reconstruction of nonlinear dynamics, International Journal of Bifurcation and Chaos 8(11), 2191-2201, 1998.