Recent Trends In Numerical Analysis


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Recent Trends in Fractional Calculus and Its Applications


Recent Trends in Fractional Calculus and Its Applications

Author: Praveen Agarwal

language: en

Publisher: Elsevier

Release Date: 2024-07-02


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Recent Trends in Fractional Calculus and Its Applications addresses the answer to this very basic question: "Why is Fractional Calculus important?" Until recent times, Fractional Calculus was considered as a rather esoteric mathematical theory without applications, but in the last few decades there has been an explosion of research activities on the application of Fractional Calculus to very diverse scientific fields ranging from the physics of diffusion and advection phenomena, to control systems to finance and economics. An important part of mathematical modelling of objects and processes is a description of their dynamics.The term Fractional Calculus is more than 300 years old. It is a generalization of the ordinary differentiation and integration to noninteger (arbitrary) order. The subject is as old as the calculus of differentiation and goes back to times when Leibniz, Gauss, and Newton invented this kind of calculation. Several mathematicians contributed to this subject over the years. People like Liouville, Riemann, and Weyl made major contributions to the theory of Fractional Calculus. In recent decades the field of Fractional Calculus has attracted the interest of researchers in several areas, including mathematics, physics, chemistry, engineering, finance, and social sciences. - Provides the most recent and up-to-date developments in the Fractional Calculus and its application areas - Presents pre-preparation ideas to help researchers/scientists/clinicians face the new challenges in the application of fractional differential equations - Helps researchers and scientists understand the importance of the Fractional Calculus to solve many problems in Biomedical Engineering and applied sciences

Recent Trends in Numerical Analysis


Recent Trends in Numerical Analysis

Author: D. Trigiante

language: en

Publisher: Nova Publishers

Release Date: 2000


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The contributions for this volume, dedicated to honour the 65th birthday of Professor I Galligani, have been numerous and cover a wide range of topics of the current Numerical Analysis and of its applications.

New Trends in Fluid Mechanics Research


New Trends in Fluid Mechanics Research

Author: F. G. Zhuang

language: en

Publisher: Springer Science & Business Media

Release Date: 2009-04-24


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New Trends in Fluid Mechanics Research is the proceedings of the Fifth International Conference on Fluid Mechanics (ICFM-V); it is the primary forum for the presentation of technological advances and research results in the fields of theoretical, experimental, and computational Fluid Mechanics. Following the previous conferences in Beijing (1987, 1993 and 1998) and Dalian (2004) organized by the Chinese Society of Theoretical and Applied Mechanics, the Scientific Committee for ICFM presents ICFM-V to provide a forum for researchers to exchange original ideas and recent advances in Fluid Mechanics and relevant interdisciplinary subjects. Topics include: flow instability and turbulence, aerodynamics and gas dynamics, hydrodynamics, industrial and environmental fluid mechanics, biofluid mechanics, geophysical fluid mechanics, plasma and magneto-hydrodynamics, multiphase flows, non-Newtonian flows and flows in porous media, flow of reacting fluid, microscale flow and others.