Refereed publications

• L.O. Jay and D. Negrut: A second order extension of the generalized-&alpha method for constrained systems in mechanics. Computational Methods in Applied Sciences, E. Onate ed., Springer, New York, special Vol. from ECCOMAS Thematic Conference on Multibody Dynamics held in Milano, 2007. [.ps.gz, .pdf]. Accepted for publication, 2008.
• L.O. Jay: Specialized partitioned additive Runge-Kutta methods for systems of overdetermined DAEs with holonomic constraints. [.pdf]. SIAM J. Numer. Anal., Vol. 45, pp. 1814-1842, 2007.
• L.O. Jay and D. Negrut: Extensions of the HHT-α method to differential-algebraic equations in mechanics. [.ps.gz, .pdf]. Electronic Transactions on Numerical Analysis (ETNA), Vol. 26, pp. 190-208, 2007.
• L.O. Jay: Beyond conventional Runge-Kutta methods in numerical integration of ODEs and DAEs by use of structures and local models. [.pdf]. J. Comput. Appl. Math., Vol. 204, pp. 56-76, 2007.
• L.O. Jay: Specialized Runge-Kutta methods for index 2 differential algebraic equations. [.pdf]. Math. Comput., Vol. 75, pp. 641-654, 2006.
• L.O. Jay: Preserving Poisson structure and orthogonality in numerical integration of differential equations. [.ps.gz, .pdf]. Comput. Math. Appl., Vol. 48, pp. 237-255, 2004.
• M. Calvo, L.O. Jay, J.I. Montijano, and L. Rández: Approximate compositions of a near identity map by multi-revolution Runge-Kutta methods. [.pdf]. Numer. Math., Vol. 97, pp. 635-666, 2004.
• S.S. Shome, E.J. Haug, and L.O. Jay: Dual-rate integration using partitioned Runge-Kutta methods for mechanical systems with interacting subsystems. [.pdf]. Mech. Based Design Structures Mach., Vol. 32, pp. 253-282, 2004.
• L.O. Jay: Solution of index 2 implicit differential-algebraic equations by Lobatto Runge-Kutta methods. [.ps.gz, .pdf]. BIT, Vol. 43, pp. 91-104, 2003.
• L.O. Jay: Iterative solution of nonlinear equations for SPARK methods applied to DAEs. [ .ps.gz, .pdf]. Numer. Algorithms, Vol. 31, pp. 171-191, 2002.
• L.O. Jay: A note on Q-order of convergence. BIT, Vol. 41, pp. 422-429, 2001.
• L.O. Jay: Inexact simplified Newton iterations for implicit Runge-Kutta methods. SIAM J. Numer. Anal., Vol. 38, pp. 1369-1388, 2000. [ .ps.gz, .pdf].
• N. Biehn, S.L. Campbell, L.O. Jay, and T. Westbrook: Some comments on DAE theory for IRK methods and trajectory optimization. J. Comput. Appl. Math., Vol. 120, pp. 109-131, 2000. In a special issue on "SQP-based direct discretization methods for practical optimal control problems". [.pdf].
• P.E. Gill, L.O. Jay, M. W. Leonard, L.R. Petzold, and V. Sharma: An SQP method for the optimal control of large-scale dynamical systems. J. Comput. Appl. Math., Vol. 120, pp. 197-213, 2000. In a special issue on "SQP-based direct discretization methods for practical optimal control problems". [.pdf].
• L.O. Jay and T. Braconnier: A parallelizable preconditioner for the iterative solution of implicit Runge-Kutta type methods. J. Comput. Appl. Math., Vol. 111, pp. 63-76, 1999. [.pdf].
• L.O. Jay, H. Kim, Y. Saad, and J. Chelikowski: Electronic structure calculations for plane-wave codes without diagonalization. Comput. Phys. Comm., Vol. 118, pp. 21-30, 1999. [.pdf].
• L.O. Jay: Structure preservation for constrained dynamics with super partitioned additive Runge-Kutta methods, SIAM J. Sci. Comput., Vol. 20, pp. 416-446, 1998. [ .ps.gz, .pdf].
• L.R. Petzold, L.O. Jay, and J. Yen: Numerical solution of highly oscillatory ordinary differential equations. Acta Numerica, A. Iserles ed., Cambridge Univ. Press, Cambridge, pp. 437-484, 1997.
• L.O. Jay, A. Sandu, F.A. Potra, and G.R. Carmichael: Improved quasi-steady-state-approximation methods for atmospheric chemistry integration. SIAM J. Sci. Comput., Vol. 18, pp. 182-202, 1997. [ .ps.gz, .pdf].
• L.R. Petzold, J.B. Rosen, P.E. Gill, L.O. Jay, and K. Park: Numerical optimal control of parabolic PDEs using DASOPT. In "Large-scale optimization with applications", Part II: "Optimal design and control", IMA Vol. Math. Appl., L.T. Biegler, T.F. Coleman, A.R. Conn, and F.N. Santosa eds, Springer, New York, Vol. 93, pp. 271-300, 1997.
• L.O. Jay: Symplectic partitioned Runge-Kutta methods for constrained Hamiltonian systems. SIAM J. Numer. Anal., Vol. 33, pp. 368-387, 1996.
• L.O. Jay: Convergence of Runge-Kutta methods for differential-algebraic systems of index 3. Appl. Numer. Math., Vol. 17, pp. 97-118, 1995. [.pdf].
• E. Hairer and L.O. Jay: Implicit Runge-Kutta for higher index differential-algebraic systems. Contributions in Numerical Mathematics, World Sci. Ser. Appl. Anal., Vol. 2, pp. 213-224, 1993.
• L.O. Jay: Collocation methods for differential-algebraic equations of index 3. Numer. Math., Vol. 65, pp. 407-421, 1993.
• L.O. Jay: Convergence of a class of Runge-Kutta methods for differential-algebraic systems of index 2. BIT, Vol. 33, pp. 137-150, 1993.
• L.O. Jay: Dense output for extrapolation based on the semi-implicit midpoint rule. ZAMM, Vol. 73, pp. 325-329, 1993.

Technical reports, preprints, submitted articles, work in progress, etc.

• L.O. Jay: Hybrid families of Runge-Kutta methods for differential equations. In progress.
• L.O. Jay and D. Negrut: Convergence of a second order extension of the generalized-&alpha method for constrained systems in mechanics. In progress.
• L.O. Jay: A note on the symplectic Euler method for DAEs with holonomic constraints. [.ps.gz, .pdf]. Submitted.
• L.O. Jay and H. Oh: Application of SPARK methods to systems of mixed index 2 and 3 DAEs in mechanics.
• D. Negrut, L.O. Jay, and N. Khude: A discussion of low order numerical integration formulas for rigid and flexible multibody dynamics, 2007. Submitted to ASME Journal of Computational and Nonlinear Dynamics. [.pdf].
• L.O. Jay: Preconditioning and parallel implementation of implicit Runge-Kutta methods. [.ps.gz, .pdf]. Report on Computational Mathematics, No. 150, Department of Mathematics, University of Iowa, 2002.
• L.O. Jay: Lagrangian integration with symplectic methods. AHPCRC Preprint 97-009, 1997. [.ps.gz, .pdf].
• L.O. Jay and L.R. Petzold: Highly oscillatory systems and periodic-stability. AHPCRC Preprint 95-015, 1995.
• Ph.D. thesis: Runge-Kutta type methods for index three differential-algebraic equations with applications to Hamiltonian systems. University of Geneva, Department of Mathematics, 1994.
• M.Sc. thesis: Construction of a continuous solution for an extrapolation method: theory and practice. University of Geneva, Department of Mathematics, 1990.

Conference proceedings papers

• L.O. Jay and D. Negrut: A second order extension of the generalized-&alpha method for constrained systems in mechanics. Proceedings of Multibody Dynamics 2007, ECCOMAS Thematic Conference, C.L. Bottasso, P. Masarati, and L. Trainelli eds., Dipartimento di Ingegneria Aerospaziale, Politecnico di Milano, Milano, Italy, June 25-28, 2007. [.ps.gz, .pdf].
• D. Negrut, L.O. Jay, N. Khude, and T. Heyn: A discussion of low order numerical integration formulas for rigid and flexible multibody dynamics. Proceedings of Multibody Dynamics 2007, ECCOMAS Thematic Conference, C.L. Bottasso, P. Masarati, and L. Trainelli eds., Dipartimento di Ingegneria Aerospaziale, Politecnico di Milano, Milano, Italy, June 25-28, 2007.
• D. Negrut, L.O. Jay, and N. Khude: A discussion of low order numerical integration formulas for rigid and flexible multibody dynamics. Proceedings of IDETC07, Proceedings of the 6th ASME International Conference on Multibody Systems, Nonlinear Dynamics and Control, Las Vegas, Nevada, September 4-7, 2007.
• L.O. Jay: Using additivity in numerical integration of DAEs [.pdf]. Mathematisches ForschungsInstitut Oberwolfach Report 14/2006, pp. 850-853, 2006.
• L.O. Jay: Use of structures and local models in numerical integration of ODEs and DAEs: Beyond traditional Runge-Kutta methods. Proceedings of the International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE-2005, Alicante, Spain, June 27-30, pp. 578-607, 2005.
• Z. Mi, J. Yang, K. Abdel-Malek, and L.O. Jay: Planning for kinematically smooth manipulator trajectories. DETC2002/MECH-34325, Proceedings of 2002 ASME Design Engineering Technical Conferences and Computer and Information in Engineering Conference, 5B, Montreal, Canada, American Society of Mechanical Engineers, New York, pp. 1065-1073, 2002.
• L.O. Jay, A. Sandu, F.A. Potra, and G.R. Carmichael: Efficient numerical integrator for atmospheric chemistry. ICIAM 95, Third International Congress on Industrial and Applied Mathematics, Hamburg, Germany, July 1995. Special Issue of ZAMM, Issue 4: Applied Sciences, E. Kreuzer and O. Mahrenholtz eds., Akademie-Verlag, Berlin, pp. 450-453, 1996.