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Fast direct solvers for elliptic PDEs / Per-Gunnar Martinsson.
- Format:
- Book
- Author/Creator:
- Martinsson, Per-Gunnar, author.
- Series:
- CBMS-NSF regional conference series in applied mathematics ; 96.
- CBMS-NSF regional conference series in applied mathematics ; 96
- Language:
- English
- Subjects (All):
- Differential equations, Elliptic--Numerical solutions.
- Differential equations, Elliptic.
- Differential equations, Partial--Numerical solutions.
- Differential equations, Partial.
- Physical Description:
- 1 PDF (xii, 303 pages).
- Other Title:
- Fast direct solvers for elliptic partial differential equations.
- Place of Publication:
- Philadelphia, Pennsylvania : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), [2019]
- System Details:
- Mode of access: World Wide Web.
- System requirements: Adobe Acrobat Reader.
- Summary:
- "This is a book about how to efficiently solve elliptic partial differential equations numerically"-- Provided by publisher.
- Contents:
- Scope and aims
- How global operators arise in solvers for elliptic PDEs
- Matrix factorizations and low-rank approximation
- Randomized methods for low-rank approximation
- Fast algorithms for rank-structured matrices
- Fast summation and multipole expansions
- The fast multipole method
- Extensions and improvements to the basic FMM
- The potential evaluation map
- Integral equation formulations
- Extensions of integral equation-based methods
- Discretization of integral equations
- A simple direct solver for integral equations
- A multilevel scheme
- Additional topics on HBS matrices
- Interpolative decompositions and skeletonization
- Constructing a rank-structured representation of a matrix
- Direct solvers based on discrete scattering matrices
- An introduction to fast solvers for linear elliptic PDEs
- Direct sparse solvers
- Fast direct sparse solvers
- Linear complexity "sweeping" schemes
- A geometry-based view of nested dissection
- Spectral collocation methods
- The hierarchical PoincareÌ-Steklov method
- Extensions of the HPS method
- Fast solvers for elliptic problems on lattices.
- Notes:
- Includes bibliographical references and index.
- Description based on title page of print version.
- ISBN:
- 1-61197-604-9
- OCLC:
- 1124080066
- Publisher Number:
- CB96 SIAM
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