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Fast Solvers for Mesh-Based Computations (Hardcover)
Loot Price: R3,117
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Fast Solvers for Mesh-Based Computations (Hardcover)
Series: Advances in Applied Mathematics
Expected to ship within 12 - 17 working days
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Fast Solvers for Mesh-Based Computations presents an alternative
way of constructing multi-frontal direct solver algorithms for
mesh-based computations. It also describes how to design and
implement those algorithms. The book's structure follows those of
the matrices, starting from tri-diagonal matrices resulting from
one-dimensional mesh-based methods, through multi-diagonal or
block-diagonal matrices, and ending with general sparse matrices.
Each chapter explains how to design and implement a parallel sparse
direct solver specific for a particular structure of the matrix.
All the solvers presented are either designed from scratch or based
on previously designed and implemented solvers. Each chapter also
derives the complete JAVA or Fortran code of the parallel sparse
direct solver. The exemplary JAVA codes can be used as reference
for designing parallel direct solvers in more efficient languages
for specific architectures of parallel machines. The author also
derives exemplary element frontal matrices for different one-,
two-, or three-dimensional mesh-based computations. These matrices
can be used as references for testing the developed parallel direct
solvers. Based on more than 10 years of the author's experience in
the area, this book is a valuable resource for researchers and
graduate students who would like to learn how to design and
implement parallel direct solvers for mesh-based computations.
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