| Description |
1 online resource |
| 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 and Sandrine Péché -- 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 Málek -- 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 / Sören Bartels and Alexander Raisch -- A Fast and Accurate Numerical Method for the Computation of Unstable Micromagnetic Configurations / Sören 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 |
| Analysis |
wiskunde |
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mathematics |
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computational science |
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computerwiskunde |
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computational mathematics |
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numerieke wiskunde |
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numerical mathematics |
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Mathematics (General) |
|
Wiskunde (algemeen) |
| Bibliography |
Includes bibliographical references |
| Notes |
English |
|
Print version record |
| In |
Springer eBooks |
| Subject |
Mathematical models.
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Singularities (Mathematics)
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Mathematics.
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Mathematics
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Models, Theoretical
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mathematical models.
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MATHEMATICS -- General.
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Mathematics
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Mathematical models
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Singularities (Mathematics)
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| Form |
Electronic book
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| Author |
Greibel, Michael, editor
|
| ISBN |
9783319007861 |
|
3319007866 |
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3319007858 |
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9783319007854 |
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