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Lecture Notes in Computational Science and Engineering

By: Michael Griebel (Editor), Marc Alexander Schweitzer (Editor)

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Paperback | 10 October 2008

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420 Pages

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The Fourth International Workshop on Meshfree Methods for Partial D- ferential Equations was held from September 17 to September 20, 2007 in Bonn, Germany. One of the major goals of this workshop series is to bring together European, American and Asian researchers working in this exciting ?eld of interdisciplinary research on a regular basis. To this end Ivo Babu? ska, Ted Belytschko, Michael Griebel, Antonio Huerta, Wing Kam Liu, and Harry Yserentant invited scientist from twelve countries to Bonn to strengthen the mathematical understanding and analysis of meshfree discretizations but also to promote the exchange of ideas on their implementation and application. The workshop was again hosted by the Institut fur ¨ Numerische Simu- tionattheRheinischeFriedrich-Wilhelms-Universit¨ atBonnwiththe?nancial support of the Sonderforschungsbereich 611 Singular Phenomena and Scaling in Mathematical Models. This volume of LNCSE now comprises selected contributions of attendees of the workshop. Their content ranges from applied mathematics to physics and engineering. This is also an indication that meshfree methods for the numerical solution of partial di?erential equations are becoming more and more mainstream in many areas of applications due to their ?exiblity and wide applicability.

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Non-Fiction Mathematics Calculus & Mathematical Analysis Differential Calculus & Equations Engineering & Technology Mechanical Engineering & Materials Mechanical Engineering Applied Mathematics Numerical Analysis

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Published: 5th November 2010

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Circumventing Curse of Dimensionality in the Solution of Highly Multidimensional Models Encountered in Quantum Mechanics Using Meshfree Finite Sums Decomposition	p. 1
A Pressure Correction Approach Coupled with the MLPG Method for the Solution of the Navier-Stokes Equations	p. 19
Large Scale, Multiresolution Flow Simulations Using Remeshed Particle Methods	p. 35
On the Stabilization of Stress-Point Integration in the Element Free Galerkin Method	p. 47
The Partition of Unity Meshfree Method for Solving Transport-Reaction Equations on Complex Domains: Implementation and Applications in the Life Sciences	p. 69
Solving One Dimensional Scalar Conservation Laws by Particle Management	p. 95
Stability of Energy Transfer in the Weak Coupling Method	p. 111
Multiscale Approach for Quantum Systems	p. 121
A Meshless Technique Based on Integrated Radial Basis Function Networks for Elliptic Partial Differential Equations	p. 141
A Higher-Order Finite Volume Method Using Multiresolution Reproducing Kernels	p. 157
Interface Tracking in Meshfree Methods and its Applications	p. 173
A'posteriori Error Estimation Based on Higher Order Approximation in the Meshless Finite Difference Method	p. 189
Exact Bounds for Linear Outputs of the Convection-Diffusion-Reaction Equation Using Flux-Free Error Estimates	p. 215
Preparation of CAD and Molecular Surfaces for Meshfree Solvers	p. 231
3D Meshfree Magnetohydrodynamics	p. 247
A Particle-Partition of Unity Method Part VIII: Hierarchical Enrichment	p. 277
A Framework For Studying The RKEM Representation of Discrete Point Sets	p. 301
Coupling of the CFD and the Droplet Population Balance Equation with the Finite Pointset Method	p. 315
Hybrid Methods for Fluid-Structure-Interaction Problems in Aeroelasticity	p. 335
Color Plates	p. 359
Table of Contents provided by Ingram. All Rights Reserved.

Lecture Notes in Computational Science and Engineering

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