Advanced Mathematical Methods

doi:10.3390/books978-3-03928-247-0

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Advanced Mathematical Methods

Theory and Applications

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February 2020

198 pages

ISBN978-3-03928-246-3 (Paperback)
ISBN978-3-03928-247-0 (PDF)

https://doi.org/10.3390/books978-3-03928-247-0

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This is a Reprint of the Special Issue Advanced Mathematical Methods: Theory and Applications that was published in

Computer Science & Mathematics

Engineering

Physical Sciences

Public Health & Healthcare

Summary

The many technical and computational problems that appear to be constantly emerging in various branches of physics and engineering beg for a more detailed understanding of the fundamental mathematics that serves as the cornerstone of our way of understanding natural phenomena. The purpose of this Special Issue was to establish a brief collection of carefully selected articles authored by promising young scientists and the world's leading experts in pure and applied mathematics, highlighting the state-of-the-art of the various research lines focusing on the study of analytical and numerical mathematical methods for pure and applied sciences.

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Keywords

ultraparabolic equation; ultradiffusion process; probabilistic representation; mathematical finance; linear elastostatics; layer potentials; fredholmian operators; fractional differential equations; fractional derivative; Abel-type integral; time delay; distributed lag; gamma distribution; macroeconomics; Keynesian model; integral transforms; Laplace integral transform; transmutation operator; generating operator; integral equations; differential equations; operational calculus of Mikusinski type; Mellin integral transform; fractional derivative; fractional integral; Mittag–Leffler function; Riemann–Liouville derivative; Caputo derivative; Grünwald–Letnikov derivative; space-time fractional diffusion equation; fractional Laplacian; subordination principle; Mittag-Leffler function; Bessel function; exterior calculus; exterior algebra; electromagnetism; Maxwell equations; differential forms; tensor calculus; Fourier Theory; DFT in polar coordinates; polar coordinates; multidimensional DFT; discrete Hankel Transform; discrete Fourier Transform; Orthogonality; multispecies biofilm; biosorption; free boundary value problem; heavy metals toxicity; method of characteristics; relativistic diffusion equation; Caputo fractional derivatives of a function with respect to another function; Bessel-Riesz motion; Mittag–Leffler function; matrix function; Schur decomposition; Laplace transform; fractional calculus; central limit theorem; anomalous diffusion; stable distribution; fractional calculus; power law; n/a