BookselmMonograph

Splitting Methods for Partial Differential Equations with Rough Solutions

Analysis and MATLAB programs

  • Helge Holden

    Norwegian University of Science and Technology, Trondheim, Norway
  • Kenneth Hvistendahl Karlsen

    University of Oslo, Norway
  • Knut-Andreas Lie

    University of Oslo, Norway
  • Nils Henrik Risebro

    University of Oslo, Norway
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FrontmatterDownload pp. i–iv
PrefaceDownload p. v
ContentsDownload pp. vii–viii
1IntroductionDownload pp. 1–17
2Simple Examples of Semi-Discrete Operator Splittingpp. 18–26
3General Convergence Theorypp. 27–51
4Convergence Results for Convection-Diffusion Problemspp. 52–88
5Error Estimates for Hyperbolic Problemspp. 89–136
6Operator Splitting for Systems of Equationspp. 137–173
AA Crash Course in Numerical Methods for Conservation Lawspp. 174–200
Referencespp. 202–224
Indexpp. 226–227