Fast direct solvers for elliptic PDEs (Record no. 32916)

000 -LEADER
fixed length control field 02306 a2200193 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20230914112613.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 230914b |||||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781611976038
040 ## - CATALOGING SOURCE
Original cataloging agency ICTS-TIFR
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Martinsson, Per-Gunnar
245 ## - TITLE STATEMENT
Title Fast direct solvers for elliptic PDEs
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Name of publisher, distributor, etc. Society for Industrial and Applied Mathematics,
Place of publication, distribution, etc. Philadelphia, PA :
Date of publication, distribution, etc. [c2020]
300 ## - Physical Description
Pages: 315 p.
490 ## - SERIES STATEMENT
Series statement CBMS-NSF Regional Conference Series in Applied Mathematics
Volume/sequential designation vol. 96
520 ## - SUMMARY, ETC.
Summary, etc. Fast solvers for elliptic PDEs form a pillar of scientific computing. They enable detailed and accurate simulations of electromagnetic fields, fluid flows, biochemical processes, and much more. This textbook provides an introduction to fast solvers from the point of view of integral equation formulations, which lead to unparalleled accuracy and speed in many applications. The focus is on fast algorithms for handling dense matrices that arise in the discretization of integral operators, such as the fast multipole method and fast direct solvers. While the emphasis is on techniques for dense matrices, the text also describes how similar techniques give rise to linear complexity algorithms for computing the inverse or the LU factorization of a sparse matrix resulting from the direct discretization of an elliptic PDE. This is the first textbook to detail the active field of fast direct solvers, introducing readers to modern linear algebraic techniques for accelerating computations, such as randomized algorithms, interpolative decompositions, and data-sparse hierarchical matrix representations. Written with an emphasis on mathematical intuition rather than theoretical details, it is richly illustrated and provides pseudocode for all key techniques. Fast Direct Solvers for Elliptic PDEs is appropriate for graduate students in applied mathematics and scientific computing, engineers and scientists looking for an accessible introduction to integral equation methods and fast solvers, and researchers in computational mathematics who want to quickly catch up on recent advances in randomized algorithms and techniques for working with data-sparse matrices.
856 ## - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://epubs.siam.org/doi/epdf/10.1137/1.9781611976045.fm">https://epubs.siam.org/doi/epdf/10.1137/1.9781611976045.fm</a>
Link text Table of Contents
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Book
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Home library Shelving location Date acquired Inventory number Full call number Accession No. Koha item type
        Mathematics ICTS Rack No 6 09/14/2023 IN487 Dt.5th Sep 2023 QA377 .M283365 02758 Book