Name
Title | ||
|---|---|---|
Analytical and numerical treatment of a singular initial value problem in avalanche modeling |
Abstract | ||
|---|---|---|
We discuss a leading-edge model used in the computation of the run-out length of dry-flowing avalanches. The model has the form of a singular initial value problem for a scalar ordinary differential equation describing the avalanche dynamics. Existence, uniqueness and smoothness properties of the analytical solution are shown. We also prove the existence of a unique root of the solution. Moreover, we present a FORTRAN 90 code for the numerical computation of the run-out length. The code is based on a solver for singular initial value problems which is an implementation of the acceleration technique known as iterated defect correction based on the implicit Euler method. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1016/S0096-3003(02)00919-0 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Singular initial value problem,Existence of solution,Numerical solution,Implicit Euler method,Iterated defect correction,Leading-edge model,Avalanche run-out | Differential equation,Mathematical optimization,Singular value,Ordinary differential equation,Mathematical analysis,Singular solution,Initial value problem,Solver,Numerical analysis,Backward Euler method,Mathematics | Journal |
Volume | Issue | ISSN |
148 | 2 | Applied Mathematics and Computation |
Citations | PageRank | References |
6 | 1.44 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Othmar Koch | 1 | 174 | 28.41 |
| Ewa Weinmüller | 2 | 118 | 24.75 |