Meshfree Methods for Partial Differential Equations IV

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.

Dr. Michael Griebel ist Ordinarius für Wissenschaftliches Rechnen am Institut für Angewandte Mathematik der Universität in Bonn.