Online Public Access Catalogue (OPAC)
Library,Documentation and Information Science Division

“A research journal serves that narrow

borderland which separates the known from the unknown”

-P.C.Mahalanobis


Image from Google Jackets

Singular phenomena and scaling in mathematical models / [edited by] Michael Griebel.

Contributor(s): Material type: TextTextPublication details: Switzerland : Springer, 2014.Description: viii, 434 p. : illustrations (some color) ; 24 cmISBN:
  • 9783319007854 (hard cover : alk. paper)
Subject(s): DDC classification:
  • 511.8 23 G848
Contents:
Scaling Limits of Diffusion Processes and Singular Spaces -- Ricci Bounds for Euclidean and Spherical Cones / Kathrin Bacher and Karl-Theodor Sturm -- A Monotone Approximation to the Wasserstein Diffusion / Karl-Theodor Sturm -- Adapted Function Spaces for Dispersive Equations / Herbert Koch -- A Note on Metastable Behaviour in the Zero-Range Process / Anton Bovier and Rebecca Neukirch -- Convergence of the Two-Point Function of the Stationary TASEP / Jinho Baik, Patrik Lino Ferrari -- Multiple Scales in Mathematical Models of Materials Science and Biology -- Vortex Motion for the Landau-Lifshitz-Gilbert Equation with Applied Magnetic Field / Matthias Kurzke, Christof Melcher and Roger Moser -- On Prandtl-Reuss Mixtures / Jens Frehse and Josef Malek -- Modeling and Simulation of Lipid Monolayers as Surfactant in Lung Alveoli / Annelene Wittenfeld, Andrey Ryskin and Wolfgang Alt -- Fluid Mixtures and Applications to Biological Systems / Hans Wilhelm Alt and Wolfgang Alt -- A Nested Variational Time Discretization for Parametric Anisotropic Willmore Flow / Ricardo Perl, Paola Pozzi and Martin Rumpf -- Energy Scaling and Domain Branching in Solid-Solid Phase Transitions / Allan Chan and Sergio Conti -- Numerics for Multiscale Models and Singular Phenomena -- On a Multilevel Preconditioner and its Condition Numbers for the Discretized Laplacian on Full and Sparse Grids in Higher Dimensions / Michael Griebel and Alexander Hullmann -- Simulation of Droplet Impact with Dynamic Contact Angle Boundary Conditions / Michael Griebel and Margrit Klitz -- A Parallel Multiscale Simulation Toolbox for Coupling Molecular Dynamics and Finite Elements / Dorian Krause, Konstantin Fackeldey and Rolf Krause -- A Moving Least Squares Approach to the Construction of Discontinuous Enrichment Functions / Marc Alexander Schweitzer and Sa Wu -- Second Moment Analysis for Robin Boundary Value Problems on Random Domains / Helmut Harbrecht -- Simulation of Q -Tensor Fields with Constant Orientational Order Parameter in the Theory of Uniaxial Nematic Liquid Crystals / Soren Bartels and Alexander Raisch -- A Fast and Accurate Numerical Method for the Computation of Unstable Micromagnetic Configurations / Soren Bartels, Mario Bebendorf and Michael Bratsch.
Summary: The book integrates theoretical analysis, numerical simulation and modeling approaches for the treatment of singular phenomena. The projects covered focus on actual applied problems, and develop qualitatively new and mathematically challenging methods for various problems from the natural sciences. Ranging from stochastic and geometric analysis over nonlinear analysis and modelling to numerical analysis and scientific computation, the book is divided into the three sections: A) Scaling limits of diffusion processes and singular spaces, B) Multiple scales in mathematical models of materials science and biology and C) Numerics for multiscale models and singular phenomena. Each section addresses the key aspects of multiple scales and model hierarchies, singularities and degeneracies, and scaling laws and self-similarity.
Tags from this library: No tags from this library for this title. Log in to add tags.

Scaling Limits of Diffusion Processes and Singular Spaces --
Ricci Bounds for Euclidean and Spherical Cones / Kathrin Bacher and Karl-Theodor Sturm --
A Monotone Approximation to the Wasserstein Diffusion / Karl-Theodor Sturm --
Adapted Function Spaces for Dispersive Equations / Herbert Koch --
A Note on Metastable Behaviour in the Zero-Range Process / Anton Bovier and Rebecca Neukirch --
Convergence of the Two-Point Function of the Stationary TASEP / Jinho Baik, Patrik Lino Ferrari --
Multiple Scales in Mathematical Models of Materials Science and Biology --
Vortex Motion for the Landau-Lifshitz-Gilbert Equation with Applied Magnetic Field / Matthias Kurzke, Christof Melcher and Roger Moser --
On Prandtl-Reuss Mixtures / Jens Frehse and Josef Malek --
Modeling and Simulation of Lipid Monolayers as Surfactant in Lung Alveoli / Annelene Wittenfeld, Andrey Ryskin and Wolfgang Alt --
Fluid Mixtures and Applications to Biological Systems / Hans Wilhelm Alt and Wolfgang Alt --
A Nested Variational Time Discretization for Parametric Anisotropic Willmore Flow / Ricardo Perl, Paola Pozzi and Martin Rumpf --
Energy Scaling and Domain Branching in Solid-Solid Phase Transitions / Allan Chan and Sergio Conti --
Numerics for Multiscale Models and Singular Phenomena --
On a Multilevel Preconditioner and its Condition Numbers for the Discretized Laplacian on Full and Sparse Grids in Higher Dimensions / Michael Griebel and Alexander Hullmann --
Simulation of Droplet Impact with Dynamic Contact Angle Boundary Conditions / Michael Griebel and Margrit Klitz --
A Parallel Multiscale Simulation Toolbox for Coupling Molecular Dynamics and Finite Elements / Dorian Krause, Konstantin Fackeldey and Rolf Krause --
A Moving Least Squares Approach to the Construction of Discontinuous Enrichment Functions / Marc Alexander Schweitzer and Sa Wu --
Second Moment Analysis for Robin Boundary Value Problems on Random Domains / Helmut Harbrecht --
Simulation of Q -Tensor Fields with Constant Orientational Order Parameter in the Theory of Uniaxial Nematic Liquid Crystals / Soren Bartels and Alexander Raisch --
A Fast and Accurate Numerical Method for the Computation of Unstable Micromagnetic Configurations / Soren Bartels, Mario Bebendorf and Michael Bratsch.

The book integrates theoretical analysis, numerical simulation and modeling approaches for the treatment of singular phenomena. The projects covered focus on actual applied problems, and develop qualitatively new and mathematically challenging methods for various problems from the natural sciences. Ranging from stochastic and geometric analysis over nonlinear analysis and modelling to numerical analysis and scientific computation, the book is divided into the three sections: A) Scaling limits of diffusion processes and singular spaces, B) Multiple scales in mathematical models of materials science and biology and C) Numerics for multiscale models and singular phenomena. Each section addresses the key aspects of multiple scales and model hierarchies, singularities and degeneracies, and scaling laws and self-similarity.

There are no comments on this title.

to post a comment.
Library, Documentation and Information Science Division, Indian Statistical Institute, 203 B T Road, Kolkata 700108, INDIA
Phone no. 91-33-2575 2100, Fax no. 91-33-2578 1412, ksatpathy@isical.ac.in