Nonlinear functional analysis and its applications
Nonlinear functional analysis and its applications
Implicit-explicit methods for time-dependent partial differential equations
SIAM Journal on Numerical Analysis
Introduction to matrix analysis (2nd ed.)
Introduction to matrix analysis (2nd ed.)
An asymptotic analysis for a model of chemical vapor deposition on a microstructured surface
SIAM Journal on Applied Mathematics
A note on iterated splitting schemes
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Iterative operator-splitting methods for linear problems
International Journal of Computational Science and Engineering
NAA'04 Proceedings of the Third international conference on Numerical Analysis and its Applications
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In this article we consider iterative operator-splitting methods for nonlinear differential equations with respect to their eigenvalues. The main focus of the proposed idea is the fixed-point iterative scheme that linearizes our underlying equations. On the basis of the approximated eigenvalues of such linearized systems we choose the order of the operators for our iterative splitting scheme. The convergence properties of such a mixed method are studied and demonstrated. We confirm with numerical applications the effectiveness of the proposed scheme in comparison with the standard operator-splitting methods by providing improved results and convergence rates. We apply our results to deposition processes.