Numerical Analysis of Multiscale Computations

1. Explicit Methods for Stiff Stochastic Differential Equations
Assyr Abdulle

2. Oscillatory Systems with Three Separated Time Scales: Analysis and Computation
Gil Ariel, Björn Engquist, Yen-Hsi Richard Tsai

3. Variance Reduction in Stochastic Homogenization: The Technique of Antithetic Variables
Xavier Blanc, Ronan Costaouec, Claude Le Bris, Frédéric Legoll

4. A Stroboscopic Numerical Method for Highly Oscillatory Problems
Mari Paz Calvo, Philippe Chartier, Ander Murua, Jesús María Sanz-Serna

5. The Microscopic Origin of the Macroscopic Dielectric Permittivity of Crystals: A Mathematical Viewpoint
Éric Cancès, Mathieu Lewin, Gabriel Stoltz

6. Fast Multipole Method Using the Cauchy Integral Formula
Cristopher Cecka, Pierre-David Létourneau, Eric Darve

7. Tools for Multiscale Simulation of Liquids Using Open Molecular Dynamics
Rafael Delgado-Buscalioni

8. Multiscale Methods for Wave Propagation in Heterogeneous Media Over Long Time
Björn Engquist, Henrik Holst, Olof Runborg

9. Numerical Homogenization via Approximation of the Solution Operator
Adrianna Gillman, Patrick Young, Per-Gunnar Martinsson

10. Adaptive Multilevel Monte Carlo Simulation
Håkon Hoel, Erik Schwerin, Anders Szepessy, Raúl Tempone

11. Coupled Coarse Graining and Markov Chain Monte Carlo for Lattice Systems
Evangelia Kalligiannaki, Markos A. Katsoulakis, Petr Plecháč

12. Calibration of a Jump-Diffusion Process Using Optimal Control
Jonas Kiessling

13. Some Remarks on Free Energy and Coarse-Graining
Frédéric Legoll, Tony Lelièvre

14. Linear Stationary Iterative Methods for the Force-Based Quasicontinuum Approximation
Mitchell Luskin, Christoph Ortner

15. Analysis of an Averaging Operator for Atomic-to-Continuum Coupling Methods by the Arlequin Approach
Serge Prudhomme, Robin Bouclier, Ludovic Chamoin, Hachmi Ben Dhia, J. Tinsley Oden

16. A Coupled Finite Difference – Gaussian Beam Method for High Frequency Wave Propagation
Nicolay M. Tanushev, Yen-Hsi Richard Tsai, Björn Engquist

Keywords: Mathematics, Computational Science and Engineering, Computational Mathematics and Numerical Analysis, Numerical and Computational Physics