Perturbed Functional Iterations

Perturbed Functional Iterations PDF Author: Suhrit Dey
Publisher: CRC Press
ISBN: 1040014933
Category : Mathematics
Languages : en
Pages : 327

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Book Description
Perturbed functional iterations (PFI) is a large‐scale nonlinear system solver. Nature is abundant with events simulated mathematically by nonlinear systems of equations and inequalities. These we call nonlinear models. Often, they are ill‐conditioned, meaning small changes in data causing huge changes in the output. PFI, previously called the perturbed iterative scheme (PIS), is a numerical method to solve nonlinear systems of equations in multidimensional space. Computational results demonstrate that this numerical method has some unique features, which have made it more practical for applications in engineering and applied mathematics. This book will guide readers in the proper use of PFI, both in theoretical and practical settings. Features: Ideal resource for postgraduates and professional researchers in science and engineering working in nonlinear systems Algorithmically simple enough for engineers and applied scientists to write their own software based on the contents

Perturbed Functional Iterations

Perturbed Functional Iterations PDF Author: Suhrit Dey
Publisher: CRC Press
ISBN: 1040014933
Category : Mathematics
Languages : en
Pages : 327

Get Book Here

Book Description
Perturbed functional iterations (PFI) is a large‐scale nonlinear system solver. Nature is abundant with events simulated mathematically by nonlinear systems of equations and inequalities. These we call nonlinear models. Often, they are ill‐conditioned, meaning small changes in data causing huge changes in the output. PFI, previously called the perturbed iterative scheme (PIS), is a numerical method to solve nonlinear systems of equations in multidimensional space. Computational results demonstrate that this numerical method has some unique features, which have made it more practical for applications in engineering and applied mathematics. This book will guide readers in the proper use of PFI, both in theoretical and practical settings. Features: Ideal resource for postgraduates and professional researchers in science and engineering working in nonlinear systems Algorithmically simple enough for engineers and applied scientists to write their own software based on the contents

Numerical Solutions of Nonlinear STIFF Initial Value Problems by Perturbed Functional Iterations

Numerical Solutions of Nonlinear STIFF Initial Value Problems by Perturbed Functional Iterations PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 44

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Book Description


Perturbation theory for linear operators

Perturbation theory for linear operators PDF Author: Tosio Kato
Publisher: Springer Science & Business Media
ISBN: 3662126788
Category : Mathematics
Languages : en
Pages : 610

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Book Description


Iteration Theory and its Functional Equations

Iteration Theory and its Functional Equations PDF Author: Roman Liedl
Publisher: Springer
ISBN: 3540397493
Category : Mathematics
Languages : en
Pages : 238

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Book Description


Separate and Joint Continuity

Separate and Joint Continuity PDF Author: Jiling Cao
Publisher: CRC Press
ISBN: 1040043178
Category : Mathematics
Languages : en
Pages : 224

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Book Description
Separate and Joint Continuity presents and summarises the main ideas and theorems that have been developed on this topic, which lies at the interface between General Topology and Functional Analysis (and the geometry of Banach spaces in particular). The book offers detailed, self-contained proofs of many of the key results. Although the development of this area has now slowed to a point where an authoritative book can be written, many important and significant problems remain open, and it is hoped that this book may serve as a springboard for future and emerging researchers into this area. Furthermore, it is the strong belief of the authors that this area of research is ripe for exploitation. That is to say, it is their belief that many of the results contained in this monograph can, and should be, applied to other areas of mathematics. It is hoped that this monograph may provide an easily accessible entry point to the main results on separate and joint continuity for mathematicians who are not directly working in this field, but who may be able to exploit some of the deep results that have been developed over the past 125 years. Features Provides detailed, self-contained proofs of many of the key results in the area Suitable for researchers and postgraduates in topology and functional analysis Is the first book to offer a detailed and up-to-date summary of the main ideas and theorems on this topic

Mathematical and Computational Studies on Progress, Prognosis, Prevention and Panacea of Breast Cancer

Mathematical and Computational Studies on Progress, Prognosis, Prevention and Panacea of Breast Cancer PDF Author: Suhrit Dey
Publisher: Springer Nature
ISBN: 9811660778
Category : Computers
Languages : en
Pages : 377

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Book Description
This book’s aim is to study the mathematical and computational models to analyze the progress, prognosis, prevention, and panacea of breast cancer. The book discusses application of Markov chains and transient mappings, Charlie–Simpson numerical algorithm, models represented by nonlinear reaction–diffusion-type partial differential equations, and related techniques. The book also attempts to design mathematical model of targeted strategic treatments by using Skilled Killer Drugs (SKD1 and SKD2) to suggest the improvisation of future cancer treatments. Both graduate students and researchers of computational biology and oncologists will benefit by studying this book. Researchers of cancer studies and biological sciences will also find this work helpful.

NASA Technical Paper

NASA Technical Paper PDF Author: United States. National Aeronautics and Space Administration
Publisher:
ISBN:
Category : Astronautics
Languages : en
Pages : 20

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Book Description


On The Exact Solution of Nonlinear Differential Equations Using Variational Iteration Method and Homotopy Perturbation Method

On The Exact Solution of Nonlinear Differential Equations Using Variational Iteration Method and Homotopy Perturbation Method PDF Author: Mohsen Soori
Publisher: GRIN Verlag
ISBN: 3668866546
Category : Mathematics
Languages : en
Pages : 56

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Book Description
Research Paper (postgraduate) from the year 2019 in the subject Mathematics - Applied Mathematics, , language: English, abstract: In this paper, the Variational Iteration Method (VIM) and the Homotopy Perturbation Method (HPM) are applied to solve the non-linear differential equations. The Newell-Whitehead-Segel equation, the Burgers-Huxley, the Burgers-Fisher equation, the Fitzhugh–Nagumo Equation, the Fisher Type Equation are studied in different chapters and exact solutions are also obtained. A comparison is made between obtained results in finding the exact solution of the equation in order to present precision of the methods. The results prove capability and great potential of the methods as effective algorithms in order to obtain the exact solution of non-linear differential equations.

Bioinformatics Research and Applications

Bioinformatics Research and Applications PDF Author: Zhipeng Cai
Publisher: Springer Nature
ISBN: 3030578216
Category : Science
Languages : en
Pages : 430

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Book Description
This book constitutes the proceedings of the 16th International Symposium on Bioinformatics Research and Applications, ISBRA 2020, held in Moscow, Russia, in December 2020. The 23 full papers and 18 short papers presented in this book were carefully reviewed and selected from 131 submissions. They were organized in topical sections named: genome analysis; systems biology; computational proteomics; machine and deep learning; and data analysis and methodology.

Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports PDF Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 956

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Book Description