Author: Suhrit Dey
Publisher: CRC Press
ISBN: 1040014933
Category : Mathematics
Languages : en
Pages : 327
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
Author: Suhrit Dey
Publisher: CRC Press
ISBN: 1040014933
Category : Mathematics
Languages : en
Pages : 327
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
Publisher: CRC Press
ISBN: 1040014933
Category : Mathematics
Languages : en
Pages : 327
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
Author: S. K. Dey
Publisher: C&h/CRC Press
ISBN: 9781032352268
Category : Mathematics
Languages : en
Pages : 0
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, which was earlier called PIS (Perturbed Iterative Scheme) 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 science. This book will guide readers with the proper use of PFI, both in theoretical and practical settings"--
Publisher: C&h/CRC Press
ISBN: 9781032352268
Category : Mathematics
Languages : en
Pages : 0
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, which was earlier called PIS (Perturbed Iterative Scheme) 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 science. This book will guide readers with the proper use of PFI, both in theoretical and practical settings"--
Numerical Solutions of Nonlinear STIFF Initial Value Problems by Perturbed Functional Iterations
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 44
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 44
Book Description
Numerical Solution of Nonlinear STIFF Initial-value Problems by Perturbed Functional Iterations
Author: S. K. Dey
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 35
Book Description
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 35
Book Description
Perturbed Functional Iterations
Author: S. K. Dey
Publisher: Chapman & Hall/CRC
ISBN: 9781032350295
Category : Mathematics
Languages : en
Pages : 0
Book Description
Perturbed Functional Iterations 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. This book will guide readers with the proper use of PFI, both in theoretical and practical settings.
Publisher: Chapman & Hall/CRC
ISBN: 9781032350295
Category : Mathematics
Languages : en
Pages : 0
Book Description
Perturbed Functional Iterations 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. This book will guide readers with the proper use of PFI, both in theoretical and practical settings.
Mathematical Modelling in Science and Technology
Author: Xavier J.R. Avula
Publisher: Elsevier
ISBN: 1483190595
Category : Mathematics
Languages : en
Pages : 1023
Book Description
Mathematical Modelling in Science and Technology: The Fourth International Conference covers the proceedings of the Fourth International Conference by the same title, held at the Swiss Federal Institute of Technology, Zurich, Switzerland on August 15-17, 1983. Mathematical modeling is a powerful tool to solve many complex problems presented by scientific and technological developments. This book is organized into 20 parts encompassing 180 chapters. The first parts present the basic principles, methodology, systems theory, parameter estimation, system identification, and optimization of mathematical modeling. The succeeding parts discuss the features of stochastic and numerical modeling and simulation languages. Considerable parts deal with the application areas of mathematical modeling, such as in chemical engineering, solid and fluid mechanics, water resources, medicine, economics, transportation, and industry. The last parts tackle the application of mathematical modeling in student management and other academic cases. This book will prove useful to researchers in various science and technology fields.
Publisher: Elsevier
ISBN: 1483190595
Category : Mathematics
Languages : en
Pages : 1023
Book Description
Mathematical Modelling in Science and Technology: The Fourth International Conference covers the proceedings of the Fourth International Conference by the same title, held at the Swiss Federal Institute of Technology, Zurich, Switzerland on August 15-17, 1983. Mathematical modeling is a powerful tool to solve many complex problems presented by scientific and technological developments. This book is organized into 20 parts encompassing 180 chapters. The first parts present the basic principles, methodology, systems theory, parameter estimation, system identification, and optimization of mathematical modeling. The succeeding parts discuss the features of stochastic and numerical modeling and simulation languages. Considerable parts deal with the application areas of mathematical modeling, such as in chemical engineering, solid and fluid mechanics, water resources, medicine, economics, transportation, and industry. The last parts tackle the application of mathematical modeling in student management and other academic cases. This book will prove useful to researchers in various science and technology fields.
Scientific and Technical Aerospace Reports
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 968
Book Description
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 968
Book Description
Mathematical Biology
Author: T. A. Burton
Publisher: Elsevier
ISBN: 148318983X
Category : Mathematics
Languages : en
Pages : 256
Book Description
Mathematical Biology: A Conference on Theoretical Aspects of Molecular Science is a collection of papers that covers various investigations in mathematical biology. The text tackles a wide range of topics, from biological equation models up to electrical phenomena in biological systems. The coverage of the text includes existence of a periodic solution for a two predator-one prey ecosystem modeled on a chemostat; mathematical treatment of nerve conduction and cardiac purkinje fibers; and models of positional information. The book will be of great interest to students, researchers, and practitioners of biological sciences.
Publisher: Elsevier
ISBN: 148318983X
Category : Mathematics
Languages : en
Pages : 256
Book Description
Mathematical Biology: A Conference on Theoretical Aspects of Molecular Science is a collection of papers that covers various investigations in mathematical biology. The text tackles a wide range of topics, from biological equation models up to electrical phenomena in biological systems. The coverage of the text includes existence of a periodic solution for a two predator-one prey ecosystem modeled on a chemostat; mathematical treatment of nerve conduction and cardiac purkinje fibers; and models of positional information. The book will be of great interest to students, researchers, and practitioners of biological sciences.
Hyperbolic Partial Differential Equations
Author: Matthew Witten
Publisher: Elsevier
ISBN: 1483155633
Category : Mathematics
Languages : en
Pages : 255
Book Description
Hyperbolic Partial Differential Equations, Volume 1: Population, Reactors, Tides and Waves: Theory and Applications covers three general areas of hyperbolic partial differential equation applications. These areas include problems related to the McKendrick/Von Foerster population equations, other hyperbolic form equations, and the numerical solution. This text is composed of 15 chapters and begins with surveys of age specific population interactions, populations models of diffusion, nonlinear age dependent population growth with harvesting, local and global stability for the nonlinear renewal equation in the Von Foerster model, and nonlinear age-dependent population dynamics. The next chapters deal with various applications of hyperbolic partial differential equations to such areas as age-structured fish populations, density dependent growth in a cell colony, boll-weevil-cotton crop modeling, age dependent predation and cannibalism, parasite populations, growth of microorganisms, and stochastic perturbations in the Von Foerster model. These topics are followed by discussions of bifurcation of time periodic solutions of the McKendrick equation; the periodic solution of nonlinear hyperbolic problems; and semigroup theory as applied to nonlinear age dependent population dynamics. Other chapters explore the stability of biochemical reaction tanks, an ADI model for the Laplace tidal equations, the Carleman equation, the nonequilibrium behavior of solids that transport heat by second sound, and the nonlinear hyperbolic partial differential equations and dynamic programming. The final chapters highlight two explicitly numerical applications: a predictor-convex corrector method and the Galerkin approximation in hyperbolic partial differential equations. This book will prove useful to practicing engineers, population researchers, physicists, and mathematicians.
Publisher: Elsevier
ISBN: 1483155633
Category : Mathematics
Languages : en
Pages : 255
Book Description
Hyperbolic Partial Differential Equations, Volume 1: Population, Reactors, Tides and Waves: Theory and Applications covers three general areas of hyperbolic partial differential equation applications. These areas include problems related to the McKendrick/Von Foerster population equations, other hyperbolic form equations, and the numerical solution. This text is composed of 15 chapters and begins with surveys of age specific population interactions, populations models of diffusion, nonlinear age dependent population growth with harvesting, local and global stability for the nonlinear renewal equation in the Von Foerster model, and nonlinear age-dependent population dynamics. The next chapters deal with various applications of hyperbolic partial differential equations to such areas as age-structured fish populations, density dependent growth in a cell colony, boll-weevil-cotton crop modeling, age dependent predation and cannibalism, parasite populations, growth of microorganisms, and stochastic perturbations in the Von Foerster model. These topics are followed by discussions of bifurcation of time periodic solutions of the McKendrick equation; the periodic solution of nonlinear hyperbolic problems; and semigroup theory as applied to nonlinear age dependent population dynamics. Other chapters explore the stability of biochemical reaction tanks, an ADI model for the Laplace tidal equations, the Carleman equation, the nonequilibrium behavior of solids that transport heat by second sound, and the nonlinear hyperbolic partial differential equations and dynamic programming. The final chapters highlight two explicitly numerical applications: a predictor-convex corrector method and the Galerkin approximation in hyperbolic partial differential equations. This book will prove useful to practicing engineers, population researchers, physicists, and mathematicians.
Numerical Mathematics and Applications
Author: J. Vignes
Publisher: Elsevier
ISBN: 1483295672
Category : Mathematics
Languages : en
Pages : 442
Book Description
Numerical Mathematics and Applications
Publisher: Elsevier
ISBN: 1483295672
Category : Mathematics
Languages : en
Pages : 442
Book Description
Numerical Mathematics and Applications