ESAIM: Mathematical Modelling and Numerical Analysis Vol. 47 Iss. 06

ESAIM: Mathematical Modelling and Numerical Analysis

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Table of Contents - Fri Nov 01 00:00:00 GMT 2013 - Volume 47 - Issue 06

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Error estimates for the Coupled Cluster method Error estimates for the Coupled Cluster method

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Thorsten Rohwedder and Reinhold Schneider

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 47 / Issue 06 / Fri Nov 01 00:00:00 GMT 2013, pp 1553 - 1582

Published online by Cambridge University Press: Mon Aug 26 00:00:00 BST 2013

DOI: http://dx.doi.org/10.1051/m2an/2013075 (About DOI)

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Derivation of Langevin dynamics in a nonzero background flow field Derivation of Langevin dynamics in a nonzero background flow field

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Matthew Dobson, Frédéric Legoll, Tony Lelièvre and Gabriel Stoltz

Molecular dynamics is becoming more important to study the interaction of micro and macro scales. In fluid dynamics, the multi-scale approach often leads to analyzing or simulating the molecular system in a background flow field at constant temperature. Simulation based on stochastic Langevin molecular dynamics is an alternative for ergodic sampling at constant temperature. Langevin dynamics has been derived from different micro models: for instance in [G.W. Ford, M. Kac and P. Mazur, J. Math. Phys. 6 (1965), 504-515] and [R. Zwanzig, J. Stat. Phys. 9 (1973) 215-220] from a Hamiltonian system with a heavy particle coupled through a harmonic interaction potential to a heat bath particle system, where the stochasticity enters through Gibbs distributed initial heat bath configurations, and in [D. Dürr, S. Goldstein and J.L. Lebowitz Commun. Math. Phys. 78 (1981) 507-530] from a heavy particle colliding with an ideal gas heat bath, whose the initial particle configuration is described by a Poisson field. This highlight paper makes an important contribution to derivations of Langevin dynamics by extending the ideal gas model to non vanishing background flow.

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 47 / Issue 06 / Fri Nov 01 00:00:00 GMT 2013, pp 1583 - 1626

Published online by Cambridge University Press: Tue Aug 20 00:00:00 BST 2013

DOI: http://dx.doi.org/10.1051/m2an/2013077 (About DOI)

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Two shallow-water type models for viscoelastic flows from kinetic theory for polymers solutions Two shallow-water type models for viscoelastic flows from kinetic theory for polymers solutions

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Gladys Narbona-Reina and Didier Bresch

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 47 / Issue 06 / Fri Nov 01 00:00:00 GMT 2013, pp 1627 - 1655

Published online by Cambridge University Press: Mon Aug 26 00:00:00 BST 2013

DOI: http://dx.doi.org/10.1051/m2an/2013081 (About DOI)

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Optimal uncertainty quantification for legacy data observations of Lipschitz functions Optimal uncertainty quantification for legacy data observations of Lipschitz functions

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T.J. Sullivan, M. McKerns, D. Meyer, F. Theil, H. Owhadi and M. Ortiz

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 47 / Issue 06 / Fri Nov 01 00:00:00 GMT 2013, pp 1657 - 1689

Published online by Cambridge University Press: Fri Aug 30 00:00:00 BST 2013

DOI: http://dx.doi.org/10.1051/m2an/2013083 (About DOI)

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Stabilized Galerkin methods for magnetic advection Stabilized Galerkin methods for magnetic advection

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Holger Heumann and Ralf Hiptmair

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 47 / Issue 06 / Fri Nov 01 00:00:00 GMT 2013, pp 1713 - 1732

Published online by Cambridge University Press: Mon Oct 07 00:00:00 BST 2013

DOI: http://dx.doi.org/10.1051/m2an/2013085 (About DOI)

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A priori error estimates for finite element discretizations of a shape optimization problem A priori error estimates for finite element discretizations of a shape optimization problem

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Bernhard Kiniger and Boris Vexler

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 47 / Issue 06 / Fri Nov 01 00:00:00 GMT 2013, pp 1733 - 1763

Published online by Cambridge University Press: Mon Oct 07 00:00:00 BST 2013

DOI: http://dx.doi.org/10.1051/m2an/2013086 (About DOI)

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A class of nonparametric DSSY nonconforming quadrilateral elements A class of nonparametric DSSY nonconforming quadrilateral elements

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Youngmok Jeon, Hyun Nam, Dongwoo Sheen and Kwangshin Shim

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 47 / Issue 06 / Fri Nov 01 00:00:00 GMT 2013, pp 1783 - 1796

Published online by Cambridge University Press: Mon Oct 07 00:00:00 BST 2013

DOI: http://dx.doi.org/10.1051/m2an/2013088 (About DOI)

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Automatic simplification of Darcy’s equations with pressure dependent permeability Automatic simplification of Darcy’s equations with pressure dependent permeability

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Etienne Ahusborde, Mejdi Azaïez, Faker Ben Belgacem and Christine Bernardi

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 47 / Issue 06 / Fri Nov 01 00:00:00 GMT 2013, pp 1797 - 1820

Published online by Cambridge University Press: Mon Oct 07 00:00:00 BST 2013

DOI: http://dx.doi.org/10.1051/m2an/2013089 (About DOI)

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A Galerkin strategy with Proper Orthogonal Decomposition for parameter-dependent problems – Analysis, assessments and applications to parameter estimation A Galerkin strategy with Proper Orthogonal Decomposition for parameter-dependent problems – Analysis, assessments and applications to parameter estimation

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D. Chapelle, A. Gariah, P. Moireau and J. Sainte-Marie

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 47 / Issue 06 / Fri Nov 01 00:00:00 GMT 2013, pp 1821 - 1843

Published online by Cambridge University Press: Mon Oct 07 00:00:00 BST 2013

DOI: http://dx.doi.org/10.1051/m2an/2013090 (About DOI)

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Local Discontinuous Galerkin methods for fractional diffusion equations Local Discontinuous Galerkin methods for fractional diffusion equations

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W.H. Deng and J.S. Hesthaven

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 47 / Issue 06 / Fri Nov 01 00:00:00 GMT 2013, pp 1845 - 1864

Published online by Cambridge University Press: Mon Oct 07 00:00:00 BST 2013

DOI: http://dx.doi.org/10.1051/m2an/2013091 (About DOI)

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