JESUS MARIA
SANZ SERNA
Investigador en el període 1982-2017
![Foto de Ander](/img/nophoto.png)
Ander
Murua Uria
Publicacions en què col·labora amb Ander Murua Uria (16)
2018
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Averaging and computing normal forms with word series algorithms
Springer Proceedings in Mathematics and Statistics (Springer New York LLC), pp. 115-137
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Hopf algebra techniques to handle dynamical systems and numerical integrators
Abel Symposia
2017
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Erratum to: Higher-Order Averaging, Formal Series and Numerical Integration II: The Quasi-Periodic Case (2012), 12, 471–508, 10.1007/s10208-012-9118-8
Foundations of Computational Mathematics
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Word Series for Dynamical Systems and Their Numerical Integrators
Foundations of Computational Mathematics, Vol. 17, Núm. 3, pp. 675-712
2016
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Computing normal forms and formal invariants of dynamical systems by means of word series Dedicated to Juan Luis Vázquez on his 70th birthday
Nonlinear Analysis, Theory, Methods and Applications, Vol. 138, pp. 326-345
2015
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Formal series and numerical integrators: some history and some new techniques
Proceedings of the 8th International Congress on Industrial and Applied Mathematics (ICIAM 2015) (Higher Education Press)
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Higher-Order Averaging, Formal Series and Numerical Integration III: Error Bounds
Foundations of Computational Mathematics, Vol. 15, Núm. 2, pp. 591-612
2012
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A formal series approach to averaging: Exponentially small error estimates
Discrete and Continuous Dynamical Systems, Vol. 32, Núm. 9, pp. 3009-3027
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A new approach to high-order averaging
AIP Conference Proceedings
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A stroboscopic numerical method for highly oscillatory problems
Lecture Notes in Computational Science and Engineering
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Higher-Order Averaging, Formal Series and Numerical Integration II: The Quasi-Periodic Case
Foundations of Computational Mathematics, Vol. 12, Núm. 4, pp. 471-508
2011
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Numerical stroboscopic averaging for ODEs and DAEs
Applied Numerical Mathematics, Vol. 61, Núm. 10, pp. 1077-1095
2010
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Higher-Order Averaging, Formal Series and Numerical Integration I: B-series
Foundations of Computational Mathematics, Vol. 10, Núm. 6, pp. 695-727
1999
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Order conditions for numerical integrators obtained by composing simpler integrators
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 357, Núm. 1754, pp. 1079-1100
1997
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Symplectic Methods Based on Decompositions
SIAM Journal on Numerical Analysis, Vol. 34, Núm. 5, pp. 1926-1947
1994
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The non-existence of symplectic multi-derivative Runge-Kutta methods
BIT, Vol. 34, Núm. 1, pp. 80-87