PUBLICATIONS
PREPRINTS
BOOKS
PAPERS
CHAPTERS IN BOOKS
OTHER PUBLICATIONS
 
  J.M. Sanz-Serna and A. Murua, Formal series and numerical integrators: some history and some new techniques ( arXiv: 1503.06976), in Proceedings of the 8th International Congress on Industrial and Applied Mathematics (ICIAM 2015), Lei Guo and Zhi-Ming eds., Higher Education, Press, Beijing, 2015, 311-331.
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  J.M. Sanz-Serna, Hamiltonian systems, Encyclopedia of Applied and Computational Mathematics, B. Engquist ed., Springer, Berlin Heidelberg, 2015, 617-625.
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  J.M. Sanz-Serna, Symplectic methods, Encyclopedia of Applied and Computational Mathematics, B. Engquist ed., Springer, Berlin Heidelberg, 2015, 1451-1458.
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  J.M. Sanz-Serna, Markov Chain Monte Carlo and numerical differential equations, in Current Challenges in Stability Issues for Numerical Differential Equations, L. Dieci and N. Guglielmi editors, Lect. Notes in Math., Vol. 2082, Springer, 2014, 39-88.
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  M.P. Calvo, I. Rodrigo and J.M. Sanz-Serna, A simplified variable metric hybrid Monte Carlo method, AIP Conf. Proc. 1558, 814 (2013); doi 10.1063/1.4825409.
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  S. Blanes, F. Casas and J.M. Sanz-Serna, Beating the Verlet integrator in Monte Carlo simulations, AIP Conf. Proc. 1558, 8 (2013); doi 10.1063/1.4825407.
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  P. Chartier, A. Murua, and J. M. Sanz-Serna, A new approach to high-order averaging, AIP Conf. Proc. 1479 (2012), 42-44.
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  M.P. Calvo, Ph. Chartier, A. Murua, and J.M. Sanz-Serna, A stroboscopic method for highly oscillatory problems, in Numerical Analysis and Multiscale Computations, B. Engquist, O. Runborg and R. Tsai, editors, Lect. Notes Comput. Sci. Eng., Vol. 82, Springer 2011, 73-87.
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  A. Beskos, N. S. Pillai, G. O. Roberts, J. M. Sanz-Serna, A. M. Stuart, The acceptance probability of the Hybrid Monte Carlo Method in high-dimensional problems, AIP Conf. Proc. 1281 (2010), 23-27.
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  J. M. Sanz-Serna, El metodo de Euler de integracion numerica. En: La Obra de Euler, Tricentenario del Nacimiento de Leonhard Euler (1707-1783), Alberto Galindo Tixaire y Manuel Lopez Pellicer, coordinadores. Instituto de España, Madrid 2009, 105-114.
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  B. Garcia-Archilla, J. M. Sanz-Serna & R. D. Skeel, Long-time step methods for oscillatory differential systems. In: Numerical Analysis, A. R. Mitchell 1997, D. F. Griffiths, D. H. Higham & G. A. Watson eds., Addison Wesley Longman, Harlow (Essex) 1998, 111-123.
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  J. M. Sanz-Serna, Geometric integration. In : The State of the Art in Numerical Analysis, I. S. Duff & G. A. Watson eds., Clarendon Press, Oxford 1997, 121-143.
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  J. M. Sanz-Serna, Backward error analysis of symplectic integrators. In: Integration Algorithms and Classical Mechanics, J. E. Marsden, G. W. Patrick & W. F. Shadwick, eds., Fields Institute Communications Vol. 10, American Mathematical Society 1996, 193-205.
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  M. A. Lopez-Marcos, R. D. Skeel & J. M. Sanz-Serna, An explicit symplectic integrator with maximal stability interval. In: Numerical Analysis, A. R. Mitchell 75th Birhtday Volume, D. F. Griffiths & G. A. Watson eds., World Scientific Singapore 1996, 163-176.
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  M. A. Lopez-Marcos, R. D. Skeel & J. M. Sanz-Serna, Cheap enhancement of symplectic integrators. In: Numerical Analysis 1995, D. F. Griffiths & G. A. Watson eds., Longman Scientific and Technical, 1996, 107-122.
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  J. M. Sanz-Serna, Solving numerically Hamiltonian systems. In Proceedings of the International Congress of Mathematicians, Zurich 1994, Birkhauser, Basel 1995, 1468-1472.
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  J. M. Sanz-Serna, Fourier techniques in numerical methods for evolutionary problems. In: Third Granada Lectures in Computational Physics, P. L. Garrido & J. Marro eds., Springer, Berlin 1995, 145-200.
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  M. P. Calvo, A. Murua & J. M. Sanz-Serna, Modified equations for ODEs. In: Chaotic Numerics, P. E. Kloeden & K. J. Palmer eds., American Mathematical Society, Providence 1944, Contemporary Mathematics, Vol. 172, 63-74.
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  J. de Frutos & J. M. Sanz-Serna, Erring and being conservative. In: Numerical Analysis 1993, D. F. Griffiths & G. A. Watson eds., Longman Scientific and Technical, 1994, 75-88.
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  J. de Frutos & J. M. Sanz-Serna, h-dependent stability thresholds avoid the need for a priori bounds in nonlinear convergence proofs. In: Scientific Computing, Simeon Ola Fatunla ed., Ada Jane Press Ltd., Benin City 1994, 87-99.
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  M. P. Calvo & J. M. Sanz-Serna, Reasons for a failure. The integration of the two-body problem with a symplectic Runge-Kutta-Nystrom code with stepchanging facilities. In: Equadiff 91, C. Perelló, C. Simó & J. Solà-Morales eds., World Scientific, Singapore 1993, 93-102.
  M. P. Calvo & J. M. Sanz-Serna, Symplectic numerical methods for Hamiltonian problems. In Physics Computing 92, R. A. de Groot & J. Nadrchal eds., World Scientific, Singapore 1993, 153-160.
  J. M. Sanz-Serna, The numerical integration of Hamiltonian systems. In: Computational Ordinary Differential Equations, J. R. Cash & I. Gladwell eds., Clarendon Press, Oxford 1992, 437-449.
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  J. M. Sanz-Serna, Numerical ordinary differential equations vs. dynamical systems. In: The Dynamics of Numerics and the Numerics of Dynamics, D. S. Broomhead & A. Iserles eds., Clarendon Press, Oxford 1992, 81-106.
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  M. P. Calvo & J. M. Sanz-Serna, Variable steps for symplectic integrators. In: Numerical Analysis 1991, D. F. Griffiths & G. A. Watson eds., Longman Scientific and Technical 1992, 34-48.
  L. Abia & J. M. Sanz-Serna, A spectral method for a nonlinear equation arising in fluidized bed modelling. In: Numerical Treatment of Differential Equations, Teubner Texte zur Mathematik, Band 121, Stuttgart-Leipzig 1991, 285-292.
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  J. M. Sanz-Serna, Two topics in nonlinear stability. In: Advances in Numerical Analysis, Vol. 1, Will Light ed., Clarendon Press, Oxford 1991, pp. 147-174.
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  E. Alarcon, M. Doblare & J. M. Sanz-Serna, An efficient nonlinear transformation for the numerical computation of the singular integrals appearing in the 2-D boundary element method. In: Boundary Elements Methods in Engineering, B. S. Annigeri & K. Tseng eds., Springer 1990, pp. 472-479.
  J. de Frutos, T. Ortega & J. M. Sanz-Serna, A Hamiltonian, explicit algorithm with spectral accuracy for the good Boussinesq equation. In: Spectral and high order methods for partial differential equations, Proceedings of the ICOSAHOM 89 Conference, Villa Olmo, Italy, 26-29 June 1989. Claudio Canuto & Alfio Quarteroni eds. North Holland, Amsterdam 1990, pp. 417-423.
  A. Iserles, P. E. Koch, P. Norsett & J. M. Sanz-Serna, Orthogonality and approximation in a Sobolev space. In: Algorithms for Approximation II, J. C. Mason & M. G. Cox eds. Chapmand and Hall, 1990, pp 117-124.
  J. G. Blom, J. M. Sanz-Serna & J. G. Verwer, A Lagrangian moving grid scheme for one-dimensional evolutionary partial differential equations. In: Numerical and Applied Mathematics, W. F. Ames ed., J. C. Baltzer Scientific Publishing, Basel 1989, pp. 247-255.
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  J. C. Lopez-Marcos & J. M. Sanz-Serna, A definition of stability for nonlinear problems. In: Numerical Treatment of Differential Equations, Teubner-Texte zur Mathematik, Band 104, Leipzig 1988, pp. 216-226.
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  J. M. Sanz-Serna & F. Vadillo, Nonlinear instability, the dynamic approach. In: Numerical Analysis, D. F. Griffiths & A. G. Watson eds., Pitman 1986, pp. 187-199.
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  J. M. Sanz-Serna, Stability and convergence in numerical analysis I: Linear problems-A simple, comprehensive account. In: Nonlinear Differential Equations, J. K. Hale & P. Martinez-Amores eds., Pitman, Boston 1985, pp. 64-113.
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  J. M. Sanz-Serna & I. Christie, Finite elements for nonlinear integro-differential equations and their integration in time. In: The Mathematics of Finite Elements and Applications V, MAFELAP 84, J. R. Whiteman ed., Academic Press, London 1985.
  J. M. Sanz-Serna, Nonlinear instability of leapfrog schems. In: Numerical Methods for Nonlinear Problems, Vol. 2, C. Taylor et al. eds., Pineridge Press, Swansea 1984.