Description

Book Synopsis

1 Introduction.- 2 Hilbert space splittings: Abstract theory.- References.- 3 Hilbert space splittings: Examples and extensions.- References.- 4 Schwarz iterative methods: Finite Omega.- References.- 5 Special topics and extensions.- References.- 6 Schwarz approximation methods: Infinite Omega.- References.- 7 Applications to PDE solvers.- References.- A Hilbert space basics.- A.1 Spaces: Basic notation, definitions and properties.- A.2 Operators between Hilbert spaces.- A.3 Linear equations and variational problems.- A.4 Constructions on Hilbert spaces.- A.5 Sobolev spaces on domains.- A.6 Reproducing kernel Hilbert spaces (RKHS).- References.- Index.

Hilbert Space Splittings and Iterative Methods

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    A Hardback by Michael Griebel

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      Publisher: Springer
      Publication Date: Publication Date: 07/11/2024
      ISBN13: 9783031743696, 978-3031743696
      ISBN10:
      Also in:
      Mathematics Numerical analysis

      Description

      Book Synopsis

      1 Introduction.- 2 Hilbert space splittings: Abstract theory.- References.- 3 Hilbert space splittings: Examples and extensions.- References.- 4 Schwarz iterative methods: Finite Omega.- References.- 5 Special topics and extensions.- References.- 6 Schwarz approximation methods: Infinite Omega.- References.- 7 Applications to PDE solvers.- References.- A Hilbert space basics.- A.1 Spaces: Basic notation, definitions and properties.- A.2 Operators between Hilbert spaces.- A.3 Linear equations and variational problems.- A.4 Constructions on Hilbert spaces.- A.5 Sobolev spaces on domains.- A.6 Reproducing kernel Hilbert spaces (RKHS).- References.- Index.

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