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Titlebook: Computational Mathematics and Variational Analysis; Nicholas J. Daras,Themistocles M. Rassias Book 2020 Springer Nature Switzerland AG 202

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发表于 2025-3-23 12:11:01 | 显示全部楼层
Numerical Approximation of a Class of Time-Fractional Differential Equations, solutions of the corresponding initial-boundary value problems has been proved. Some finite difference schemes approximating these problems are proposed and their stability is proved. Estimates of their convergence rates, in special discrete energetic Sobolev’s norms, are obtained. The theoretical results are confirmed by numerical examples.
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,Szász–Durrmeyer Operators and Approximation,es of these operators in terms of weighted modulus of continuity and also in terms of first-order modulus of continuity having exponential growth. In the end, we find the difference estimate of Szász–Durrmeyer operators from the Baskakov–Szász–Mirakyan operators in weighted approximation.
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From Representation Theorems to Variational Inequalities,fference of two(more) monotone operators, complementarity problems, systems of the absolute values equations and difference of two convex functions as special cases. These problems are very important and significant, which provide a unified and general framework of studying a wide class of unrelated problems.
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,Is “Return to Hess” Actually Essential?, past decades. Various special cases have been identified. Some applications of presented results to special means have been analyzed and new error estimates for the trapezoidal formula are provided as well. The ideas and techniques of this paper may stimulate further research.
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Studies of the Paris Manuscriptsg triangle and square discretization. The preservation of the discrete multi-symplectic structure by the numerical schemes is shown for several one- and two-dimensional test cases, like the linear wave equation and the nonlinear Klein–Gordon equation.
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