Meshfree Particle Methods

A growing area of numerical analysis, Meshfree Particle Methods delivers a comprehensive and systematic exposition of particle methods, meshfree Galerkin and partitition of unity methods, molecular dynamics methods, and multiscale methods. The theories, computational formulations, and simulation results presented are among the most recent developments, either just announced or published here for the first time, many of them resulting from the authors own research. The presentation of the technical content is heuristic and explanatory with a balance between mathematical rigor and engineering practice. Useful as a graduate textbook or a comprehensive source for researchers, Meshfree Particle Methods constitutes a state-of-the-art treatise.