ESAIM: Mathematical Modelling and Numerical Analysis

Vol. 43 No. 4 (July-August 2009)

Special Issue: Numerical ODEs today

• Preface     p. 605
  P. Chartier and L. Petzold
  PDF file (51.71 KB)



• An algebraic theory of order     p. 607
  Philippe Chartier and Ander Murua
  Abstract | PDF file (319.3 KB) | References



• On energy conservation of the simplified Takahashi-Imada method     p. 631
  Ernst Hairer, Robert I. McLachlan and Robert D. Skeel
  Abstract | PDF file (1.026 MB) | References



• Energy-preserving Runge-Kutta methods     p. 645
  Elena Celledoni, Robert I. McLachlan, David I. McLaren, Brynjulf Owren, G. Reinout W. Quispel and William M. Wright
  Abstract | PDF file (148.5 KB) | References



• Propagation of Gevrey regularity over long times for the fully discrete Lie Trotter splitting scheme applied to the linear Schrödinger equation     p. 651
  François Castella and Guillaume Dujardin
  Abstract | PDF file (335.7 KB) | References



• Plane wave stability of some conservative schemes for the cubic Schrödinger equation     p. 677
  Morten Dahlby and Brynjulf Owren
  Abstract | PDF file (286.4 KB) | References



• Gradient descent and fast artificial time integration     p. 689
  Uri M. Ascher, Kees van den Doel, Hui Huang and Benar F. Svaiter
  Abstract | PDF file (1.037 MB) | References



• Regularization of nonlinear ill-posed problems by exponential integrators     p. 709
  Marlis Hochbruck, Michael Hönig and Alexander Ostermann
  Abstract | PDF file (470.4 KB) | References



• Towards effective dynamics in complex systems by Markov kernel approximation     p. 721
  Christof Schütte and Tobias Jahnke
  Abstract | PDF file (432.5 KB) | References



• A Metropolis adjusted Nosé-Hoover thermostat     p. 743
  Benedict Leimkuhler and Sebastian Reich
  Abstract | PDF file (1003 KB) | References



• Analysis of the accuracy and convergence of equation-free projection to a slow manifold     p. 757
  Antonios Zagaris, C. William Gear, Tasso J. Kaper and Yannis G. Kevrekidis
  Abstract | PDF file (788.6 KB) | References



• On highly oscillatory problems arising in electronic engineering     p. 785
  Marissa Condon, Alfredo Deaño and Arieh Iserles
  Abstract | PDF file (413.3 KB) | References



• A model of macroscale deformation and microvibration in skeletal muscle tissue     p. 805
  Bernd Simeon, Radu Serban and Linda R. Petzold
  Abstract | PDF file (703.5 KB) | References