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B01=Angelamaria Cardone
B01=Fabio Durastante
B01=Marco Donatelli
B01=Mariarosa Mazza
B01=Marina Popolizio
B01=Roberto Garrappa
Category1=Non-Fiction
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COP=Singapore
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Language_English
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Fractional Differential Equations: Modeling, Discretization, and Numerical Solvers

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English

The content of the book collects some contributions related to the talks presented during the INdAM Workshop Fractional Differential Equations: Modelling, Discretization, and Numerical Solvers, held in Rome, Italy, on July 1214, 2021. All contributions are original and not published elsewhere.

The main topic of the book is fractional calculus, a topic that addresses the study and application of integrals and derivatives of noninteger order. These operators, unlike the classic operators of integer order, are nonlocal operators and are better suited to describe phenomena with memory (with respect to time and/or space). Although the basic ideas of fractional calculus go back over three centuries, only in recent decades there has been a rapid increase in interest in this field of research due not only to the increasing use of fractional calculus in applications in biology, physics, engineering, probability, etc., but also thanks to the availability of new and more powerful numerical tools that allow for an efficient solution of problems that until a few years ago appeared unsolvable. The analytical solution of fractional differential equations (FDEs) appears even more difficult than in the integer case. Hence, numerical analysis plays a decisive role since practically every type of application of fractional calculus requires adequate numerical tools.

The aim of this book is therefore to collect and spread ideas mainly coming from the two communities of numerical analysts operating in this field - the one working on methods for the solution of differential problems and the one working on the numerical linear algebra side - to share knowledge and create synergies. At the same time, the book intends to realize a direct bridge between researchers working on applications and numerical analysts. Indeed, the book collects papers on applications, numerical methods for differential problems of fractional order, and related aspects in numerical linear algebra.

The target audience of the book is scholars interested in recent advancements in fractional calculus.


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€135.84
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Age Group_Uncategorizedautomatic-updateB01=Angelamaria CardoneB01=Fabio DurastanteB01=Marco DonatelliB01=Mariarosa MazzaB01=Marina PopolizioB01=Roberto GarrappaCategory1=Non-FictionCategory=PBKJCategory=PBKSCategory=PBWHCOP=SingaporeDelivery_Pre-orderLanguage_EnglishPA=Not yet availablePrice_€100 and abovePS=Activesoftlaunch

Will deliver when available. Publication date 08 Jul 2023

Product Details
  • Weight: 412g
  • Dimensions: 155 x 235mm
  • Publication Date: 17 Jun 2023
  • Publisher: Springer Verlag Singapore
  • Publication City/Country: Singapore
  • Language: English
  • ISBN13: 9789811977152

About

Angelamaria Cardone is an Associate Professor of Numerical Analysis at the Department of Mathematics University of Salerno Italy. Her scientific activity is mainly focused on the numerical solution of Volterra integral equations and of differential equations also of fractional type and on the development of related mathematical software. Marco Donatelli is an Associate Professor of Numerical Analysis at the University of Insubria Italy. His scientific activity is mainly focused on the regularization of inverse problems and numerical linear algebra methods with special attention to iterative methods for large linear systems arising from the discretization of integral and differential equations. Fabio Durastante is a Researcher in Numerical Analysis at the Department of Mathematics University of Pisa Italy. His scientific activity is mainly focused on numerical linear algebra and its application to the solution of partial differential equations of both integer and fractional order high-performance computing and computation of matrix functions. Roberto Garrappa is an Associate Professor of Numerical Analysis at the Department of Mathematics University of Bari Italy. His scientific activity is mainly focused on numerical methods for fractional differential equations and for the computation of special functions in fractional calculus. Mariarosa Mazza is a Researcher in Numerical Analysis at the University of Insubria Italy. Her scientific activity is mainly focused on numerical linear algebra problems and related applications with special attention to iterative methods for discretized partial differential equations also of fractional type. Other interests include image deblurring and approximation issues. Marina Popolizio is an Associate Professor of Numerical Analysis at the Polytechnic University of Bari Italy. Her scientific activity is mainly focused on numerical linear algebra and numerical methods for fractional differential equations with special attention to the computation of matrix functions.

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