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 | 142 | 2006 |
Splitting methods with complex times for parabolic equations F Castella, P Chartier, S Descombes, G Vilmart BIT Numerical Mathematics 49, 487-508, 2009 | 117 | 2009 |
Algebraic structures of B-series P Chartier, E Hairer, G Vilmart Foundations of Computational Mathematics 10, 407-427, 2010 | 110 | 2010 |
A parallel shooting technique for solving dissipative ODE's P Chartier, B Philippe Computing 51 (3-4), 209-236, 1993 | 106* | 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 | 88 | 2015 |
Pseudo-symplectic runge-kutta methods A Aubry, P Chartier BIT Numerical Mathematics 38, 439-461, 1998 | 83 | 1998 |
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 | 82 | 2013 |
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 | 68 | 2010 |
Numerical integrators based on modified differential equations P Chartier, E Hairer, G Vilmart Mathematics of computation 76 (260), 1941-1953, 2007 | 68 | 2007 |
Nordsieck representation of DIMSIMs JC Butcher, P Chartier, Z Jackiewicz Numerical Algorithms 16, 209-230, 1997 | 60 | 1997 |
Preserving first integrals and volume forms of additively split systems P Chartier, A Murua IMA journal of numerical analysis 27 (2), 381-405, 2007 | 54 | 2007 |
A substitution law for B-series vector fields P Chartier, E Hairer, G Vilmart INRIA, 2005 | 50 | 2005 |
L-stable parallel one-block methods for ordinary differential equations P Chartier SIAM journal on numerical analysis 31 (2), 552-571, 1994 | 50 | 1994 |
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 | 46 | 2012 |
The effective order of singly-implicit Runge-Kutta methods JC Butcher, P Chartier Numerical Algorithms 20, 269-284, 1999 | 46 | 1999 |
Experiments with a variable-order type 1 DIMSIM code JC Butcher, P Chartier, Z Jackiewicz Numerical Algorithms 22, 237-261, 1999 | 42 | 1999 |
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 | 41 | 2012 |
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 | 40 | 2015 |
Numerical stroboscopic averaging for ODEs and DAEs M Calvo, P Chartier, A Murua, JM Sanz-Serna Appl. Numer. Math. 61, 2011 | 40 | 2011 |
Stroboscopic averaging for the nonlinear Schrödinger equation F Castella, P Chartier, F Méhats, A Murua Foundations of Computational Mathematics 15 (2), 519-559, 2015 | 39 | 2015 |