A result for the existence of a positive solution to a nonlinear integral equation is proved using the monotone iterative technique and an application in the mathematical theory of water percolation phenomena is given.
A regularization-stabilization technique for nonlinear conservation equation computations
β Scribed by G. F. Carey; B. N. Jiang; R. Showalter
- Publisher
- John Wiley and Sons
- Year
- 1988
- Tongue
- English
- Weight
- 231 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0749-159X
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β¦ Synopsis
A regularization procedure for nonlinear conservation equations is introduced and demonstrated to have a stabilizing effect on the numerical solution of the associated approximate problem. Representative results for a least-squares finite-element method are given, and the numerical performance of the stabilization procedure explored. The effect of the regularization term is similar to a local numerical dissipation dependent on the numerical itegration time step.
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