Meshfree Methods for Partial Differential Equations

ESPResSo 3.1 - Molecular Dynamics Software for Coarse-Grained Models: A. Arnold, O. Lenz, S. Kesselheim, R. Weeber, F. Fahrenberger, D. Roehm, P. Kosovan, C. Holm.- On the Rate of Convergence of the Hamiltonian Particle-Mesh Method Onno Bokhove, Vladimir Molchanov, Marcel Oliver, Bob Peeters.- Peridynamics: A Nonlocal Continuum Theory.- Etienne Emmrich, Richard B. Lehoucq, Dimitri Puhst.- Immersed Molecular Electrokinetic Finite Element Method for Nano-Devices in Biotechnology and Gene Delivery: Wing Kam Liu, Adrian M. Kopacz, Tae-Rin Lee, Hansung Kim, Paolo Decuzzi.- Corrected Stabilized Non-conforming Nodal Integration in Meshfree Methods: Marcus Ruter, Michael Hillman, Jiun-Shyan Chen.- Multilevel Partition of Unity Method for Elliptic Problems with strongly Discontinuous Coefficients: Marc Alexander Schweitzer.- HOLMES: Convergent Meshfree Approximation Schemes of Arbitrary Order and Smoothness: Agustin Bompadre, Luigi E. Perotti, Christian J. Cyron, Michael Ortiz.- A Meshfree Splitting Method for Soliton Dynamics in Nonlinear Schrodinger Equations: Marco Caliari, Alexander Ostermann, Stefan Rainer.- A Meshless Discretization Method for Markov State Models Applied to Explicit Water Peptide Folding Simulations: Konstantin Fackeldey, Alexander Bujotzek, Marcus Weber.- Kernel-based Collocation Methods versus Galerkin Finite Element Methods for Approximating Elliptic Stochastic Partial Differential Equations: Gregory E. Fasshauer, Qi Ye.- A Meshfree Method for the Analysis of Planar Flows of Inviscid Fluids: Vasily N. Govorukhin.- Some Regularized Versions of the Method of Fundamental Solutions: Csaba Gaspar.- A Characteristic Particle Method for Traffic Flow Simulations on Highway Networks: Yossi Farjoun, Benjamin Seibold.- Meshfree Modeling in Laminated Composites: Daniel C. Simkins, Jr., Nathan Collier, Joseph B. Alford