Splitting Methods for Partial Differential Equations with Rough Solutions
Analysis and MATLAB programs
Helge Holden
Norwegian University of Science and Technology, Trondheim, NorwayKenneth Hvistendahl Karlsen
University of Oslo, NorwayKnut-Andreas Lie
University of Oslo, NorwayNils Henrik Risebro
University of Oslo, Norway
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| FrontmatterDownload pp. i–iv | |
| PrefaceDownload p. v | |
| ContentsDownload pp. vii–viii | |
| 1 | IntroductionDownload pp. 1–17 |
| 2 | Simple Examples of Semi-Discrete Operator Splittingpp. 18–26 |
| 3 | General Convergence Theorypp. 27–51 |
| 4 | Convergence Results for Convection-Diffusion Problemspp. 52–88 |
| 5 | Error Estimates for Hyperbolic Problemspp. 89–136 |
| 6 | Operator Splitting for Systems of Equationspp. 137–173 |
| A | A Crash Course in Numerical Methods for Conservation Lawspp. 174–200 |
| Referencespp. 202–224 | |
| Indexpp. 226–227 |