Circumventing Curse of Dimensionality in the Solution of Highly Multidimensional Models Encountered in Quantum Mechanics Using Meshfree Finite Sums Decomposition -- A Pressure Correction Approach Coupled with the MLPG Method for the Solution of the Navier-Stokes Equations -- Large Scale, Multiresolution Flow Simulations Using Remeshed Particle Methods -- On the Stabilization of Stress-Point Integration in the Element Free Galerkin Method -- The Partition of Unity Meshfree Method for Solving Transport-Reaction Equations on Complex Domains: Implementation and Applications in the Life Sciences -- Solving One Dimensional Scalar Conservation Laws by Particle Management -- Stability of Energy Transfer in the Weak Coupling Method -- Multiscale Approach for Quantum Systems -- A Meshless Technique Based on Integrated Radial Basis Function Networks for Elliptic Partial Differential Equations -- A Higher-Order Finite Volume Method Using Multiresolution Reproducing Kernels -- Interface Tracking in Meshfree Methods and its Applications -- A'posteriori Error Estimation Based on Higher Order Approximation in the Meshless Finite Difference Method -- Exact Bounds for Linear Outputs of the Convection-Diffusion-Reaction Equation Using Flux-Free Error Estimates -- Preparation of CAD and Molecular Surfaces for Meshfree Solvers -- 3D Meshfree Magnetohydrodynamics -- A Particle-Partition of Unity Method Part VIII: Hierarchical Enrichment -- A Framework For Studying The RKEM Representation of Discrete Point Sets -- Coupling of the CFD and the Droplet Population Balance Equation with the Finite Pointset Method -- Hybrid Methods for Fluid-Structure-Interaction Problems in Aeroelasticity
Summary
The numerical treatment of partial differential equations with particle methods and meshfree discretization techniques is a active research field both in the mathematics and engineering community. This volume of LNCSE is a collection of the proceedings papers of the Fourth International Workshop on Meshfree Methods held in September 2007 in Bonn
