Monotone Iterates for Solving Nonlinear Monotone Difference Schemes
โ Scribed by I. Boglaev
- Publisher
- Springer Vienna
- Year
- 2006
- Tongue
- English
- Weight
- 147 KB
- Volume
- 78
- Category
- Article
- ISSN
- 0010-485X
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๐ SIMILAR VOLUMES
Monotone finite difference schemes are proposed for nonlinear systems with mixed quasi-monotonicity. Two monotone iteration processes for the corresponding discrete problems are presented, which converge monotonically to the quasisolutions of the discrete problems. The limits are the exact solutions
There are considered elliptic and parabolic equations of arbitrary dimension with alternating coefficients at mixed derivatives. For such equations, monotone difference schemes of the second order of local approximation are constructed. Schemes suggested satisfy the principle of maximum. A priori es