Fast Solvers for Mesh-Based Computations (Advances in Applied Mathematics) [Hardcover] Paszynski, Maciej

Book Details

• Publisher: CRC Press

• Author: Maciej Paszynski

• Language: English

• Edition: 1st Edition

• ISBN: 9781498754194

• Pages: 348

• Cover: Hardcover (Illustrated)

• Dimensions: 9.1 x 6.6 x 1.1 inches

About The Book
Fast Solvers for Mesh-Based Computations offers a novel approach to constructing multi-frontal direct solver algorithms for mesh-based computations. This comprehensive guide explores the design and implementation of these algorithms in depth. The book’s structure follows the progression of matrices, starting from tri-diagonal matrices used in one-dimensional mesh-based methods, progressing through multi-diagonal and block-diagonal matrices, and culminating with general sparse matrices. Each chapter provides detailed instructions on designing and implementing parallel sparse direct solvers tailored to specific matrix structures. These solvers are either developed from scratch or adapted from existing implementations.

The book also features the complete JAVA or Fortran code for parallel sparse direct solvers, offering practical examples for researchers and developers. The exemplary JAVA code can serve as a reference for creating more efficient solvers in other languages optimized for parallel computing architectures. Additionally, the author presents element frontal matrices for one-, two-, and three-dimensional mesh-based computations, which can be used to test the solvers.

Drawing on over a decade of experience in this field, Fast Solvers for Mesh-Based Computations is an invaluable resource for researchers and graduate students interested in learning how to design and implement parallel direct solvers, particularly for mesh-based applications in computational science and engineering.