Numerical Methods for Metric Graphs Eigenvalue Problems and Parabolic Partial Differential Equations /
This book discusses the fundamentals of the numerics of parabolic partial differential equations posed on network structures interpreted as metric spaces. These so-called metric graphs frequently occur in the context of quantum graphs, where they are studied together with a differential operator and...
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| Natura: | Elettronico eBook |
| Lingua: | inglese |
| Pubblicazione: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
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| Edizione: | 1st ed. 2025. |
| Serie: | Lecture Notes in Mathematics,
2382 |
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| Accesso online: | https://doi.org/10.1007/978-3-032-05011-3 |
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Sommario:
- Chapter 1. Introduction
- Chapter 2. Background: Graphs and Differential Equations
- Chapter 3. Finite Element Method
- Chapter 4. Spectral Solution Method
- Chapter 5. Computation of Quantum Graph Spectra
- Chapter 6. Numerical Results
- Chapter 7. Comparison of Finite Element and Spectral Galerkin Method
- Chapter 8. Application to the Simulation of Tau Propagation in Alzheimer’s Disease
- Chapter 9. Conclusion.