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Titlebook: Computational Science and Its Applications – ICCSA 2021; 21st International C Osvaldo Gervasi,Beniamino Murgante,Carmelo Maria T Conference

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A Computational Analysis of the Hopmoc Method Applied to the 2-D Advection-Diffusion and Burgers Equers equations. The results delivered by the Hopmoc method compare favorably with the Crank-Nicolson method and an alternating direction implicit scheme when applied to the advection-diffusion equation. The experiments with the 2-D Burgers equation also show that the Hopmoc algorithm provides results in agreement with several existing methods.
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Proof of Some Properties of the Cross Product of Three Vectors in , with Mathematicaof the theorems constitutes an extension of the Jacobi identity. In some of the proofs, programs based on the paradigms: functional, rule-based and list-based from the Wolfram language, incorporated in Mathematica, are used.
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A Convergence Study of the 3D Dynamic Diffusion Methodorder to investigate the meshes effects on the convergence, the numerical experiments were carried out on two different sets of meshes: one with structured meshes and the other with unstructured ones. The numerical results show optimal convergence rates in all norms for the dominant convection case.
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Optimal ,-Methods for Mean-Square Dissipative Stochastic Differential Equationsion. Here we analyze the choice of the optimal parameter . making this restriction less demanding and, at the same time, maximizing the stability interval. A numerical evidence is provided to confirm our theoretical results.
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Conference proceedings 2021ICCSA 2021, which was held in Cagliari, Italy, during September 13 – 16, 2021. The event was organized in a hybrid mode due to the Covid-19 pandemic.The 466 full and 18 short papers presented in these proceedings were carefully reviewed and selected from 1588 submissions. The books cover such topics
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