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Philippe Chartier
Philippe Chartier
Senior researcher, INRIA
Verified email at inria.fr - Homepage
Title
Cited by
Cited by
Year
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
Splitting methods with complex times for parabolic equations
F Castella, P Chartier, S Descombes, G Vilmart
BIT Numerical Mathematics 49, 487-508, 2009
1142009
Algebraic structures of B-series
P Chartier, E Hairer, G Vilmart
Foundations of Computational Mathematics 10, 407-427, 2010
1092010
A parallel shooting technique for solving dissipative ODE's
P Chartier, B Philippe
Computing 51 (3-4), 209-236, 1993
108*1993
Uniformly accurate numerical schemes for highly oscillatory Klein–Gordon and nonlinear Schrödinger equations
P Chartier, N Crouseilles, M Lemou, F Méhats
Numerische Mathematik 129, 211-250, 2015
862015
Pseudo-symplectic runge-kutta methods
A Aubry, P Chartier
BIT Numerical Mathematics 38, 439-461, 1998
821998
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
792013
Numerical integrators based on modified differential equations
P Chartier, E Hairer, G Vilmart
Mathematics of computation 76 (260), 1941-1953, 2007
692007
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
Nordsieck representation of DIMSIMs
JC Butcher, P Chartier, Z Jackiewicz
Numerical Algorithms 16, 209-230, 1997
571997
Preserving first integrals and volume forms of additively split systems
P Chartier, A Murua
IMA journal of numerical analysis 27 (2), 381-405, 2007
532007
L-stable parallel one-block methods for ordinary differential equations
P Chartier
SIAM journal on numerical analysis 31 (2), 552-571, 1994
511994
A substitution law for B-series vector fields
P Chartier, E Hairer, G Vilmart
INRIA, 2005
492005
The effective order of singly-implicit Runge-Kutta methods
JC Butcher, P Chartier
Numerical Algorithms 20, 269-284, 1999
471999
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
Experiments with a variable-order type 1 DIMSIM code
JC Butcher, P Chartier, Z Jackiewicz
Numerical Algorithms 22, 237-261, 1999
401999
Stroboscopic averaging for the nonlinear Schrödinger equation
F Castella, P Chartier, F Méhats, A Murua
Foundations of Computational Mathematics 15 (2), 519-559, 2015
392015
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
Numerical stroboscopic averaging for ODEs and DAEs
M Calvo, P Chartier, A Murua, JM Sanz-Serna
Appl. Numer. Math. 61, 2011
362011
A generalization of singly-implicit Runge-Kutta methods
JC Butcher, P Chartier
Applied Numerical Mathematics 24 (2-3), 343-350, 1997
361997
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