Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014

Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014 is a compilation of selected papers from the International Conference on Spectral and High-Order Methods held in Salt Lake City, Utah, in June 2014. Edited by Robert M. Kirby, Martin Berzins, and Jan S. Hesthaven, this volume is part of the Lecture Notes in Computational Science and Engineering series. The book provides a comprehensive overview of the latest advancements in spectral and high-order methods for solving partial differential equations (PDEs). It includes contributions that cover a wide range of topics, from theoretical developments to practical applications in various scientific and engineering fields.

The book is structured into several sections, each focusing on different aspects of high-order numerical methods. Key topics include the development of new algorithms, stability and convergence analysis, and the application of these methods to complex physical problems. Notable contributions discuss the use of spectral methods for fluid dynamics, the implementation of high-order Galerkin methods, and the challenges of solving PDEs on irregular domains. This volume serves as a valuable resource for researchers, practitioners, and students interested in the cutting-edge techniques for high-order numerical solutions of PDEs.

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