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• W2106385288 abstract "In this article we deal with the stability and convergence of numerical solutions of nonlinear evolution equations of the form $A(u(t))+f(u(t))=u'(t)$, the numerical analysis of solutions to this problems will be performed using some methods from particular algebras of operators which are sometimes represented by unital subalgebras of the unital C*-algebras of operators that are generated by some basic operators say $mathbf{1},a,mathcal{D}(cdot)inmathcal{L}(H^m(G))$ that in some suitable sense are related to the operator $A(cdot)inmathcal{L}(H^m(G))$ in the evolution equations, particular cases where the operator algebras do not verify the C*-identity with respect to the norm chosen are also studied, when applicable basic C*-algebra techniques are implemented to perform some estimates of numerical solutions to some types of problems, in all this work expressions like $H^m(G)$ will represent a prescribed discretizable Hilbert space with $Gsubsetsubsetmathbb{R}^n$." @default.
• W2106385288 created "2016-06-24" @default.
• W2106385288 creator A5083296095 @default.
• W2106385288 date "2010-12-22" @default.
• W2106385288 modified "2023-09-27" @default.
• W2106385288 title "On the Approximation of Nonlinear Evolution Equations in Particular C*-Algebras of Operators" @default.
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