Asymptotics of Elliptic and Parabolic PDEs and their Applications in Statistical Physics, Computational Neuroscience, and Biophysics
This is a monograph on the emerging branch of mathematical biophysics combining asymptotic analysis with numerical and stochastic methods to analyze partial differential equations arising in biological and physical sciences. In more detail, the book presents the analytic methods and tools for approx...
| Main Authors: | , |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2018, 2018
|
| Edition: | 1st ed. 2018 |
| Series: | Applied Mathematical Sciences
|
| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Part I. Singular Perturbations of Elliptic Boundary Problems
- 1 Second-Order Elliptic Boundary Value Problems with a Small Leading Part
- 2 A Primer of Asymptotics for ODEs
- 3 Singular Perturbations in Higher Dimensions
- 4 Eigenvalues of a Non-self-adjoint Elliptic Operator
- 5 Short-time Asymptotics of the Heat Kernel
- Part II Mixed Boundary Conditions for Elliptic and Parabolic Equations
- 6 The Mixed Boundary Value Problem
- 7 THe Mixed Boundary Value Problem in R2
- 8 Narrow Escape in R3
- 9 Short-time Asymptotics of the Heat Kernel and Extreme Statistics of the NET
- 10 The Poisson–Nernst–Planck Equations in a Ball
- 11 Reconstruction of Surface Diffusion from Projected Data
- 12 Asymptotic Formulas in Molecular and Cellular Biology
- Bibliography
- Index