MATHMODE: Applied Mathematical Modeling, Statistics, and Optimization
Universidad de Valladolid
Valladolid, EspañaPublicacións en colaboración con investigadores/as de Universidad de Valladolid (12)
2022
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