Abstract
In this note we solve a model problem to test the applicability of numerical schemes for hyperbolic partial differential equations with shock-containing solutions. This test problem was used successfully in [1]in order to compare analytic and numerical solutions. The construction is made possible by considering the development of a jump discontinuity in the solution of scalar quasilinear equations with piecewise smooth data. This is a simple generalization of a discussion by Lax [2].
| Original language | English |
|---|---|
| Pages (from-to) | 331-334 |
| Number of pages | 4 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 8 |
| Issue number | 3 |
| DOIs | |
| State | Published - 1976 |
| Externally published | Yes |
Bibliographical note
Funding Information:* Sponsored in part by the Air Force Office of Scientific Research (NAM) through the European Office of Aerospace Research, AFSC, United States Air Force, under Grant AFOSR-72-2370.
Funding
* Sponsored in part by the Air Force Office of Scientific Research (NAM) through the European Office of Aerospace Research, AFSC, United States Air Force, under Grant AFOSR-72-2370.
| Funders | Funder number |
|---|---|
| European Office of Aerospace Research | |
| Air Force Office of Scientific Research | |
| U.S. Air Force | AFOSR-72-2370 |
| National Academy of Medicine | |
| Air Force Systems Command |