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Titlebook: Large-Scale Scientific Computing; 13th International C Ivan Lirkov,Svetozar Margenov Conference proceedings 2022 Springer Nature Switzerlan

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楼主: Colossal
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First-Order Reaction-Diffusion System with Space-Fractional Diffusion in an Unbounded Mediumtem can be solved in terms of the Hankel transform involving Bessel functions. Methods for numerical evaluation of the resulting integrals are implemented. It is demonstrated that the convergence of the Bessel integrals could be accelerated using standard techniques for sequence acceleration.
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A Newton’s Method for Best Uniform Polynomial Approximationon a formulation of the problem as a nonlinear system of equations and barycentric interpolation. We use results on derivatives of interpolating polynomials with respect to interpolation nodes to compute the Jacobian matrix. The resulting method is fast and stable, can deal with singularities and ex
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First-Order Reaction-Diffusion System with Space-Fractional Diffusion in an Unbounded Mediumactional diffusion. The paper considers a simple case of a reaction-diffusion system with two spatial compartments – a proximal one of finite width having a source; and a distal one, which is extended to infinity and where the source is not present but there is a first order decay of the diffusing s
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