Publications

• [15]  Sergio Blanes,  Symplectic Integrators for Polynomial Hamiltonians with Applications to Accelerator Physics, ; DAMTP tech. report 2001/NA05, University of Cambridge.

 
• [14]  S. Blanes, F. Casas and  J. Ros,  Optimized geometric integrators of high order for linear differential equations, ; BIT, 42:2 (2002).

 
• [13]  S. Blanes and P.C. Moan,  Practical Symplectic Partitioned Runge--Kutta and Runge--Kutta--Nystr\"om Methods, ; J. Comput. Appl. Math. To appear.

 
• [12]  S. Blanes and P.C. Moan, Splitting Methods for non-autonomous differential equations, ; J. Comput. Phys., 170 (2001), pp. 205--230.

 
• [11]  Sergio Blanes,  High Order Numerical Integrators for Differential Equations using Composition and Processing .of low Order Methods, ; Appl. Num. Math.,  37 (2001), pp. 289--306.

 
• [10]  S. Blanes, F. Casas and  J. Ros,  New families of symplectic Runge-Kutta-Nystr\"om integration  methods, ; Lecture Notes in Computer Science.  L. Vulkov, J. Wasniewski, and Yalamov (Eds.): NAA 2000, LNCS 1988, pp. 102--109, 2001. Springer-Verlag Berlin Heidelberg 2001.

 
• [9]  S. Blanes, F. Casas and  J. Ros,  High-order Runge-Kutta-Nystr\"om methods with processing, ; Appl. Num. Math.,  39 (2001), pp. 245--259.

 
• [8]  S. Blanes, F. Casas, and  J. Ros,  Processing symplectic methods for near-integrable Hamiltonian systems, ; Celes. Mech. & Dyn. Astron.  77  (1) (2000), pp. 17--36.

 
• [7]  S. Blanes, F. Casas and  J. Ros,  Improved high order integrators based on Magnus expansion, ; BIT, 40  (2000), pp. 434--450.

 
• [6]  S. Blanes and P.C. Moan,  Splitting methods for the time-dependent Schrödinger equation, ; Phys. Lett. A,  265  (1-2), (2000),  pp. 35--42.

 
• [5]  S. Blanes, L. J\'odar and E. Ponsoda,  Approximate solutions with a priori error bounds for continuous coefficient matrix Riccati equations, ; Math. Comp. Modelling,  31  2-3, (2000), pp. 1--15.

 
• [4]  S. Blanes, F. Casas, and J. Ros,  Extrapolation of symplectic integrators, ; Celes. Mech. & Dyn. Astron.  75  (2) (1999), pp. 149--161.

 
• [3] S. Blanes, F. Casas and J. Ros, Symplectic integrators with processing: A general study, ; SIAM J. Sci. Comp.  21  (1999), pp. 711--727.

 
• [2]  S. Blanes and L. J\'odar,  Continuous numerical solutions of coupled mixed partial differential systems using Fer's factorization, J. Comp. Appl. Math. ,  101 (1999) 189--202.

 
• [1]  S. Blanes, F. Casas, J.A. Oteo and  J. Ros,  Magnus and Fer expansions for matrix differential equations:  the convergence problem, ; J. Phys. A: Math. Gen.  31  (1998) 259--268.