Titlebook: Numerical Computations: Theory and Algorithms; Third International Yaroslav D. Sergeyev,Dmitri E. Kvasov Conference proceedings 2020 Sprin

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A New Remez-Type Algorithm for Best Polynomial Approximationg minimax polynomial approximations. We present a slight modification of the (second) Remez algorithm where a new approach to update the trial reference is considered. In particular at each step, given the local extrema of the error function of the trial polynomial, the proposed algorithm replaces a

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A Travelling Wave Solution for Nonlinear Colloid Facilitated Mass Transport in Porous Mediaas sorption on colloidal sites is regulated by nonlinearly equilibrium . nonequilibrium. A travelling wave-type solution is obtained to describe the evolution in both the liquid and colloidal concentration.

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Performance Analysis of a Multicore Implementation for Solving a Two-Dimensional Inverse Anomalous Ds expression. Since we deal with a huge practical problem with a large domain, by starting from an accurate meshless localized collocation method using RBFs, here we propose a fast algorithm, implemented in a multicore architecture, which exploits suitable parallel computational kernels. More in det

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A Gradient-Based Globalization Strategy for the Newton Methodce in a neighborhood of a local minimum where the Hessian is positive definite and Lipschitz continuous. Several strategies have been proposed in order to achieve global convergence. They are mainly based either on the modification of the Hessian together with a line search or on the adoption of a r