Anna Weller

Numerical Methods for Metric Graphs

Eigenvalue Problems and Parabolic Partial Differential Equations

• Broschiertes Buch

Produktdetails

• Lecture Notes in Mathematics Nr.2382
• Verlag: Springer International Publishing AG / Springer-Verlag GmbH
• Artikelnr. des Verlages: 89572939
• Erscheinungstermin: 18. Oktober 2025
• Englisch
• ISBN-13: 9783032050106
• ISBN-10: 3032050103
• Artikelnr.: 75067479

Autorenporträt

Anna Weller completed her PhD in applied mathematics at the University of Cologne. In her research, she focused on diffusion problems on network-like structures, as well as their numerical solution and modeling in the human brain. Currently, she is a postdoctoral researcher at the Fraunhofer Institute for Algorithms and Scientific Computing.

Inhaltsangabe

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.