Titlebook: Exploring Mathematical Analysis, Approximation Theory, and Optimization; 270 Years Since A.-M Nicholas J. Daras,Michael Th. Rassias,Nikolao

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Cristiana Bastos,Ana Cristina Roqueng series expansion for real numbers in terms of rationals generating from another algorithm called . which gives generalized versions of the corresponding three alternating series expansions constructing from the general alternating series algorithm of A. and J. Knopfmacher.

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Christine Woyshner,Chara Haeussler Bohanyield, using higher-order polynomials, such as . and Spectral Element Method, are briefly reviewed. Finally, applications on FEM are presented, revealing the effects of the increase in the degree of the polynomials when solving a fluid mechanics problem.

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Finite Element Methods with Higher Order Polynomials,yield, using higher-order polynomials, such as . and Spectral Element Method, are briefly reviewed. Finally, applications on FEM are presented, revealing the effects of the increase in the degree of the polynomials when solving a fluid mechanics problem.

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Book 2023. Legendre‘s work, contributions to this volume are devoted to those branches of mathematics and its applications that have been influenced, directly or indirectly, by the mathematician. Additional contributions provide a historical background as it relates to Legendre‘s work and its association to

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Alberto Aragón-Pérez,Axel Elías Jiménezsi variational inclusions, absolute vale equations, complementarity problems, variational inequalities, and related optimization problems as special cases, our results continue to hold for these problems. It is an interesting problem to compare these methods with other technique for solving quasi va