Common Zeros Of Polynominals In Several Variables And Higher Dimensional Quadrature
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Common Zeros Of Polynominals In Several Variables And Higher Dimensional Quadrature
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Author : Yuan Xu
language : en
Publisher: CRC Press
Release Date : 2020-12-18
Common Zeros Of Polynominals In Several Variables And Higher Dimensional Quadrature written by Yuan Xu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-18 with Mathematics categories.
Presents a systematic study of the common zeros of polynomials in several variables which are related to higher dimensional quadrature. The author uses a new approach which is based on the recent development of orthogonal polynomials in several variables and differs significantly from the previous ones based on algebraic ideal theory. Featuring a great deal of new work, new theorems and, in many cases, new proofs, this self-contained work will be of great interest to researchers in numerical analysis, the theory of orthogonal polynomials and related subjects.
Common Zeros Of Polynominals In Several Variables And Higher Dimensional Quadrature
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Author : Yuan Xu
language : en
Publisher: CRC Press
Release Date : 1994-10-10
Common Zeros Of Polynominals In Several Variables And Higher Dimensional Quadrature written by Yuan Xu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-10-10 with Mathematics categories.
Presents a systematic study of the common zeros of polynomials in several variables which are related to higher dimensional quadrature. The author uses a new approach which is based on the recent development of orthogonal polynomials in several variables and differs significantly from the previous ones based on algebraic ideal theory. Featuring a great deal of new work, new theorems and, in many cases, new proofs, this self-contained work will be of great interest to researchers in numerical analysis, the theory of orthogonal polynomials and related subjects.
Common Zeros Of Polynomials In Several Variables And Higher Dimensional Quadrature
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Author : Yuan Xu
language : en
Publisher: Halsted Press
Release Date : 1994-11-01
Common Zeros Of Polynomials In Several Variables And Higher Dimensional Quadrature written by Yuan Xu and has been published by Halsted Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-11-01 with Functions of several real variables categories.
Presents a systematic study of the common zeros of polynomials in several variables which are related to higher dimensional quadrature. The author uses a new approach which is based on the recent development of orthogonal polynomials in several variables and differs significantly from the previous ones based on algebraic ideal theory. Featuring a great deal of new work, new theorems and, in many cases, new proofs, this self-contained work will be of great interest to researchers in numerical analysis, the theory of orthogonal polynomials and related subjects.
Surveying A Dynamical System
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Author : Khalid Alhumaizi
language : en
Publisher: CRC Press
Release Date : 1996-05-15
Surveying A Dynamical System written by Khalid Alhumaizi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-05-15 with Mathematics categories.
When a dynamical system has a large number of parameters it is not possible to get a completely comprehensive picture of all the types of behavior that it may display and one must be content with surveying the system along various corridors of lower dimension. Using an example with three differential equations and six parameters it is shown how the available methods of singularity theory, bifurcation analysis, normal forms, etc. can be used to build up a picture of varied and interesting behavior. The model is a generalization of the Gray-Scott reaction scheme in a single stirred vessel to a two-phase reactor consisting of a reaction chamber and a reservoir communicating with each other through a semi-permeable membrane. Two forms exist according as to whether A is fed to the reactor and B to the reservoir or vice-versa, and show interesting differences of behavior. Both models undergo Hopf bifurcations, pitchfork transitions, have homoclinic orbits, take the period doubling route to chaos and one gets there by intermittency. Besides being of interest to mathematicians as an ecological study of a differentiable system, it is hoped that, though idealized, the fact that it corresponds closely to a real type of reactor will make it attractive to control engineers and others as a testing ground for their various methods and devices. This book will be of particular interest to students and researchers in mathematics and engineering , particularly those working in bifurcation or chaos theory.
Computational Integration
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Author : Arnold R. Krommer
language : en
Publisher: SIAM
Release Date : 1998-01-01
Computational Integration written by Arnold R. Krommer and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-01-01 with Mathematics categories.
This survey covers a wide range of topics fundamental to calculating integrals on computer systems and discusses both the theoretical and computational aspects of numerical and symbolic methods. It includes extensive sections on one- and multidimensional integration formulas, like polynomial, number-theoretic, and pseudorandom formulas, and deals with issues concerning the construction of numerical integration algorithms.
Backward Stochastic Differential Equations
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Author : N El Karoui
language : en
Publisher: CRC Press
Release Date : 1997-01-17
Backward Stochastic Differential Equations written by N El Karoui and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-17 with Mathematics categories.
This book presents the texts of seminars presented during the years 1995 and 1996 at the Université Paris VI and is the first attempt to present a survey on this subject. Starting from the classical conditions for existence and unicity of a solution in the most simple case-which requires more than basic stochartic calculus-several refinements on the hypotheses are introduced to obtain more general results.
Inner Product Spaces And Applications
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Author : T M Rassias
language : en
Publisher: CRC Press
Release Date : 1997-10-08
Inner Product Spaces And Applications written by T M Rassias and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-10-08 with Mathematics categories.
In this volume, the contributing authors deal primarily with the interaction among problems of analysis and geometry in the context of inner product spaces. They present new and old characterizations of inner product spaces among normed linear spaces and the use of such spaces in various research problems of pure and applied mathematics. The methods employed are accessible to students familiar with normed linear spaces. Some of the theorems presented are at the same time simple and challenging.
Classical And Quantic Periodic Motions Of Multiply Polarized Spin Particles
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Author : Abbas Bahri
language : en
Publisher: CRC Press
Release Date : 1997-11-28
Classical And Quantic Periodic Motions Of Multiply Polarized Spin Particles written by Abbas Bahri and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-11-28 with Mathematics categories.
:The author of this volume defines a diffusion flow for a variational problem lacking completeness related to the geometry of a contact form a a and a vector field u in its kernel. He analyzes the ends of the flow lines and finds them to be of two types: one involving periodic orbits of the Reeb (Hamiltonian) vector field x, and the other where asymptotes occur. In the most general case these turn out to be periodic motions for x up to quantic jumps of a very special type along u. He shows that the mathematical results and the physical interpretation fit and provide new points of view useful in the foundations of quantum mechanics.
Integral Expansions Related To Mehler Fock Type Transforms
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Author : B N Mandal
language : en
Publisher: CRC Press
Release Date : 2020-11-25
Integral Expansions Related To Mehler Fock Type Transforms written by B N Mandal and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-25 with Mathematics categories.
An important class of integral expansions generated by Sturm-Liouville theory involving spherical harmonics is commonly known as Mehler-Fock integral transforms. In this book, a number of integral expansions of such type have been established rigorously. As applications, integral expansions of some simple function are also obtained.
The Theory Of Quantaloids
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Author : K I Rosenthal
language : en
Publisher: CRC Press
Release Date : 2014-07-22
The Theory Of Quantaloids written by K I Rosenthal and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-22 with Mathematics categories.
This book presents a detailed account of the theory of quantaloids, a natural generalization of quantales. The basic theory, examples and construction are given and particular emphasis is placed on the free quantaloid construction, as well as on the perspective provided by enriched categories.