Prati
Ander Murua
Ander Murua
UPV/EHU
Potvrđena adresa e-pošte na ehu.eus - Početna stranica
Naslov
Citirano
Citirano
Godina
Splitting and composition methods in the numerical integration of differential equations
S Blanes, F Casas, A Murua
arXiv preprint arXiv:0812.0377, 2008
1552008
An algebraic approach to invariant preserving integators: the case of quadratic and Hamiltonian invariants
P Chartier, E Faou, A Murua
Numerische Mathematik 103, 575-590, 2006
1422006
Efficient computation of the Zassenhaus formula
F Casas, A Murua, M Nadinic
Computer Physics Communications 183 (11), 2386-2391, 2012
1322012
The Hopf algebra of rooted trees, free Lie algebras, and Lie series
A Murua
Foundations of Computational Mathematics 6 (4), 387-426, 2006
1092006
An efficient algorithm for computing the Baker–Campbell–Hausdorff series and some of its applications
F Casas, A Murua
Journal of Mathematical Physics 50 (3), 033513, 2009
1052009
New families of symplectic splitting methods for numerical integration in dynamical astronomy
S Blanes, F Casas, A Farres, J Laskar, J Makazaga, A Murua
Applied Numerical Mathematics 68, 58-72, 2013
1032013
Order conditions for numerical integrators obtained by composing simpler integrators
A Murua, JM Sanz–Serna
Philosophical Transactions of the Royal Society of London. Series A …, 1999
971999
Symplectic methods based on decompositions
AL Araújo, A Murua, JM Sanz-Serna
SIAM journal on numerical analysis 34 (5), 1926-1947, 1997
781997
Optimized high-order splitting methods for some classes of parabolic equations
S Blanes, F Casas, P Chartier, A Murua
Mathematics of Computation 82 (283), 1559-1576, 2013
662013
Modified equations for ODEs
MP Calvo, A Murua, JM Sanz-Serna
Contemporary Mathematics 172, 63-63, 1994
621994
High precision symplectic integrators for the solar system
A Farrés, J Laskar, S Blanes, F Casas, J Makazaga, A Murua
Celestial Mechanics and Dynamical Astronomy 116 (2), 141-174, 2013
612013
Higher-order averaging, formal series and numerical integration I: B-series
P Chartier, A Murua, JM Sanz-Serna
Foundations of Computational Mathematics 10 (6), 695-727, 2010
612010
Symplectic splitting operator methods for the time-dependent Schrödinger equation
S Blanes, F Casas, A Murua
The Journal of chemical physics 124 (23), 234105, 2006
592006
Formal series and numerical integrators, Part I: Systems of ODEs and symplectic integrators
A Murua
Applied numerical mathematics 29 (2), 221-251, 1999
581999
Preserving first integrals and volume forms of additively split systems
P Chartier, A Murua
IMA journal of numerical analysis 27 (2), 381-405, 2007
462007
Higher-order averaging, formal series and numerical integration II: the quasi-periodic case
P Chartier, A Murua, JM Sanz-Serna
Foundations of Computational Mathematics 12, 471-508, 2012
422012
Higher-order averaging, formal series and numerical integration III: error bounds
P Chartier, A Murua, JM Sanz-Serna
Foundations of Computational Mathematics 15, 591-612, 2015
372015
Stroboscopic averaging for the nonlinear Schrödinger equation
F Castella, P Chartier, F Méhats, A Murua
Foundations of Computational Mathematics 15 (2), 519-559, 2015
372015
Numerical stroboscopic averaging for ODEs and DAEs
MP Calvo, P Chartier, A Murua, JM Sanz-Serna
Applied numerical mathematics 61 (10), 1077-1095, 2011
372011
A formal series approach to averaging: exponentially small error estimates
P Chartier, A Murua, JM Sanz-Serna
Discrete and Continuous Dynamical Systems-Series A 32 (9), 2012
342012
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