Computation and simulation are at the heart of current science. Today, 3D multi-physics, multi-scale simulations are within reach, but also encounter the grand challenge of how to efficiently use massively parallel machines with thousands of processors to solve large non-linear systems of equations.

A whole class of most efficient solution techniques for such systems relies on Newton-Krylov (NK) solvers, the iterative use of 2 basic algorithms: the Newton algorithm to find the roots of the non-linear equations and an iterative Krylov method to solve the resulting linear equation. Convergence properties of NK methods heavily depend on good preconditioning of the matrix representing the linear system.

NK methods are used by the entire research community. This workshop aims at bringing together experts from different fields of science with people who are developing algorithms, numerical methods and implementing complex numerical methods on massively parallel machines. With this approach, we hope to popularize new efficient computing methods, initiate collaborations among scientists of different research fields, and between applicants and developers of methods.


Besides invited talks by outstanding scientists in the field, we are asking for contributions from all sections for which we reserve about 1/3 of the slots. The number of participants will be limited to about 50 and about 20 speakers. There is no conference fee. Proceedings will be published electronically in the form of the pdfs of the presentations.

Deadline for registration and application: September 30, 2013.

For registration, please use the registration tool.

For talk application, please use the submission tool.


This workshop part of the TOFU European Research Council Project  (toward a new generation of multi-dimensional stellar evolution models: the TOol of the FUture; PI: Professor I. Baraffe) which aims at developing such powerful methods.




Scientific Committee


  • Rolf Walder, Centre de Recherche Astrophysique de Lyon (CRAL), ENS-Lyon, France
  • Eric de Sturler, Department of Mathematics, Virginia Tech, Blacksburg, Virginia, USA


  • Isabelle Baraffe, University of Exeter, GB
  • Maxime Viallet, Max Planck Institute for Astrophysics, Garching, Germany
  • Doris Folini, Institute for Atmospheric and Climate Science, ETH Zurich, Switzerland & CRAL, ENS-Lyon, France

Local Organizing Committee (CRAL, ENS-Lyon)

  • Rolf Walder
  • Christophe Winisdoerffer
  • Mickaël Melzani


Administrative coordinator:

  • Samantha Barendson, CBP, ENS de Lyon, France
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