An Estimate of the Error in the Approprimate Periodic Solution of the Nonlinear Differential Equation L (D) Chi + F (chi)

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ISBN 13 :
Total Pages : 19 pages
Book Rating : 4.:/5 (174 download)

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Book Synopsis An Estimate of the Error in the Approprimate Periodic Solution of the Nonlinear Differential Equation L (D) Chi + F (chi) by : Gaston Damareé

Download or read book An Estimate of the Error in the Approprimate Periodic Solution of the Nonlinear Differential Equation L (D) Chi + F (chi) written by Gaston Damareé and published by . This book was released on 1974 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Estimate of the Error in the Approximate Periodic Solution of the Nonlinear Differential Equation L (D) X + F ( X )

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ISBN 13 :
Total Pages : 19 pages
Book Rating : 4.:/5 (755 download)

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Book Synopsis An Estimate of the Error in the Approximate Periodic Solution of the Nonlinear Differential Equation L (D) X + F ( X ) by : Gaston Demarée

Download or read book An Estimate of the Error in the Approximate Periodic Solution of the Nonlinear Differential Equation L (D) X + F ( X ) written by Gaston Demarée and published by . This book was released on 1974 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Guaranteed Estimation Problems in the Theory of Linear Ordinary Differential Equations with Uncertain Data

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Publisher : CRC Press
ISBN 13 : 1000795136
Total Pages : 233 pages
Book Rating : 4.0/5 (7 download)

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Book Synopsis Guaranteed Estimation Problems in the Theory of Linear Ordinary Differential Equations with Uncertain Data by : Oleksandr Nakonechnyi

Download or read book Guaranteed Estimation Problems in the Theory of Linear Ordinary Differential Equations with Uncertain Data written by Oleksandr Nakonechnyi and published by CRC Press. This book was released on 2022-09-01 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to the construction of optimal estimates of values of linear functionals on solutions to Cauchy and two-point boundary value problems for systems of linear first-order ordinary differential equations, from indirect observations which are linear transformations of the same solutions perturbed by additive random noises. It is assumed that right-hand sides of equations and boundary data as well as statistical characteristics of random noises in observations are not known and belong to certain given sets in corresponding functional spaces. This leads to the necessity of introducing the minimax statement of an estimation problem when optimal estimates are defined as linear, with respect to observations, estimates for which the maximum of mean square error of estimation taken over the above-mentioned sets attains minimal value. Such estimates are called minimax or guaranteed estimates. It is established that these estimates are expressed explicitly via solutions to some uniquely solvable linear systems of ordinary differential equations of the special type. The authors apply these results for obtaining the optimal estimates of solutions from indirect noisy observations. Similar estimation problems for solutions of boundary value problems for linear differential equations of order n with general boundary conditions are considered. The authors also elaborate guaranteed estimation methods under incomplete data of unknown right-hand sides of equations and boundary data and obtain representations for the corresponding guaranteed estimates. In all the cases estimation errors are determined.

L22-estimates and Periodic Solutions of Some Nonlinear Differential Equations

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (92 download)

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Book Synopsis L22-estimates and Periodic Solutions of Some Nonlinear Differential Equations by : Jean Mawhin

Download or read book L22-estimates and Periodic Solutions of Some Nonlinear Differential Equations written by Jean Mawhin and published by . This book was released on 1973 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Local Error Estimates for Discontinuous Solutions of Nonlinear Hyperbolic Equations

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Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781722343682
Total Pages : 26 pages
Book Rating : 4.3/5 (436 download)

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Book Synopsis Local Error Estimates for Discontinuous Solutions of Nonlinear Hyperbolic Equations by : National Aeronautics and Space Administration (NASA)

Download or read book Local Error Estimates for Discontinuous Solutions of Nonlinear Hyperbolic Equations written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-07-05 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let u(x, t) be the possibly discontinuous entropy solution of a nonlinear scalar conservation law with smooth initial data. Suppose u sub epsilon(x, t) is the solution of an approximate viscosity regularization, where epsilon greater than 0 is the small viscosity amplitude. It is shown that by post-processing the small viscosity approximation u sub epsilon, pointwise values of u and its derivatives can be recovered with an error as close to epsilon as desired. The analysis relies on the adjoint problem of the forward error equation, which in this case amounts to a backward linear transport with discontinuous coefficients. The novelty of this approach is to use a (generalized) E-condition of the forward problem in order to deduce a W(exp 1, infinity) energy estimate for the discontinuous backward transport equation; this, in turn, leads one to an epsilon-uniform estimate on moments of the error u(sub epsilon) - u. This approach does not follow the characteristics and, therefore, applies mutatis mutandis to other approximate solutions such as E-difference schemes. Tadmor, Eitan Unspecified Center NAS1-18605

Estimates for the Error in the Equations of Non-linear Plate Theory

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ISBN 13 :
Total Pages : 49 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Estimates for the Error in the Equations of Non-linear Plate Theory by : F. John

Download or read book Estimates for the Error in the Equations of Non-linear Plate Theory written by F. John and published by . This book was released on 1963 with total page 49 pages. Available in PDF, EPUB and Kindle. Book excerpt: The report attempts a more precise analysis of the transition from the general three-dimensional non-linear equations of equilibrium for a perfectly elastic solid to the equations of v. Karman and Foppl for a flat plate with force-free faces.

Monthly Index of Russian Accessions

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ISBN 13 :
Total Pages : 1210 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Monthly Index of Russian Accessions by : Library of Congress. Processing Department

Download or read book Monthly Index of Russian Accessions written by Library of Congress. Processing Department and published by . This book was released on 1964 with total page 1210 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Monthly Index of Russian Accessions

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ISBN 13 :
Total Pages : 1224 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Monthly Index of Russian Accessions by :

Download or read book Monthly Index of Russian Accessions written by and published by . This book was released on 1964 with total page 1224 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Reviews

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ISBN 13 :
Total Pages : 894 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 1995 with total page 894 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Process Dynamics and Control

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Publisher : John Wiley & Sons
ISBN 13 : 1119285917
Total Pages : 512 pages
Book Rating : 4.1/5 (192 download)

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Book Synopsis Process Dynamics and Control by : Dale E. Seborg

Download or read book Process Dynamics and Control written by Dale E. Seborg and published by John Wiley & Sons. This book was released on 2016-09-13 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new 4th edition of Seborg’s Process Dynamics Control provides full topical coverage for process control courses in the chemical engineering curriculum, emphasizing how process control and its related fields of process modeling and optimization are essential to the development of high-value products. A principal objective of this new edition is to describe modern techniques for control processes, with an emphasis on complex systems necessary to the development, design, and operation of modern processing plants. Control process instructors can cover the basic material while also having the flexibility to include advanced topics.

Current Index to Statistics, Applications, Methods and Theory

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ISBN 13 :
Total Pages : 762 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Current Index to Statistics, Applications, Methods and Theory by :

Download or read book Current Index to Statistics, Applications, Methods and Theory written by and published by . This book was released on 1992 with total page 762 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Current Index to Statistics (CIS) is a bibliographic index of publications in statistics, probability, and related fields.

Singular and Degenerate Cauchy Problems

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Publisher : Academic Press
ISBN 13 : 008095636X
Total Pages : 343 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Singular and Degenerate Cauchy Problems by :

Download or read book Singular and Degenerate Cauchy Problems written by and published by Academic Press. This book was released on 1977-01-13 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering

Runge-Kutta Discontinuous Galerkin Methods for Convection-dominated Problems

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ISBN 13 :
Total Pages : 84 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Runge-Kutta Discontinuous Galerkin Methods for Convection-dominated Problems by : Bernardo Cockburn

Download or read book Runge-Kutta Discontinuous Galerkin Methods for Convection-dominated Problems written by Bernardo Cockburn and published by . This book was released on 2000 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Dispersive Equations

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Publisher : American Mathematical Soc.
ISBN 13 : 0821848976
Total Pages : 272 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Nonlinear Dispersive Equations by : Jaime Angulo Pava

Download or read book Nonlinear Dispersive Equations written by Jaime Angulo Pava and published by American Mathematical Soc.. This book was released on 2009 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained presentation of classical and new methods for studying wave phenomena that are related to the existence and stability of solitary and periodic travelling wave solutions for nonlinear dispersive evolution equations. Simplicity, concrete examples, and applications are emphasized throughout in order to make the material easily accessible. The list of classical nonlinear dispersive equations studied include Korteweg-de Vries, Benjamin-Ono, and Schrodinger equations. Many special Jacobian elliptic functions play a role in these examples. The author brings the reader to the forefront of knowledge about some aspects of the theory and motivates future developments in this fascinating and rapidly growing field. The book can be used as an instructive study guide as well as a reference by students and mature scientists interested in nonlinear wave phenomena.

Functions of Matrices

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Publisher : SIAM
ISBN 13 : 0898717779
Total Pages : 445 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Functions of Matrices by : Nicholas J. Higham

Download or read book Functions of Matrices written by Nicholas J. Higham and published by SIAM. This book was released on 2008-01-01 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough and elegant treatment of the theory of matrix functions and numerical methods for computing them, including an overview of applications, new and unpublished research results, and improved algorithms. Key features include a detailed treatment of the matrix sign function and matrix roots; a development of the theory of conditioning and properties of the Fre;chet derivative; Schur decomposition; block Parlett recurrence; a thorough analysis of the accuracy, stability, and computational cost of numerical methods; general results on convergence and stability of matrix iterations; and a chapter devoted to the f(A)b problem. Ideal for advanced courses and for self-study, its broad content, references and appendix also make this book a convenient general reference. Contains an extensive collection of problems with solutions and MATLAB implementations of key algorithms.

Discrete Inverse and State Estimation Problems

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Publisher : Cambridge University Press
ISBN 13 : 1139456938
Total Pages : 357 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Discrete Inverse and State Estimation Problems by : Carl Wunsch

Download or read book Discrete Inverse and State Estimation Problems written by Carl Wunsch and published by Cambridge University Press. This book was released on 2006-06-29 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addressing the problems of making inferences from noisy observations and imperfect theories, this 2006 book introduces many inference tools and practical applications. Starting with fundamental algebraic and statistical ideas, it is ideal for graduate students and researchers in oceanography, climate science, and geophysical fluid dynamics.

Numerical Recipes in C++

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ISBN 13 : 9788175960961
Total Pages : 0 pages
Book Rating : 4.9/5 (69 download)

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Book Synopsis Numerical Recipes in C++ by : William H. Press

Download or read book Numerical Recipes in C++ written by William H. Press and published by . This book was released on 2002 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now the acclaimed Second Edition of Numerical Recipes is available in the C++ object-oriented programming language. Including and updating the full mathematical and explanatory contents of Numerical Recipes in C, this new version incorporates completely new C++ versions of the more than 300 Numerical Recipes routines that are widely recognized as the most accessible and practical basis for scientific computing. The product of a unique collaboration among four leading scientists in academic research and industry, Numerical Recipes is a complete text and reference book on scientific computing. In a self-contained manner it proceeds from mathematical and theoretical considerations to actual practical computer routines. Highlights include linear algebra, interpolation, special functions, random numbers, nonlinear sets of equations, optimization, eigensystems, Fourier methods and wavelets, statistical tests, ODEs and PDEs, integral equations and inverse theory. The authors approach to C++ preserves the efficient execution that C users expect, while simultaneously employing a clear, object-oriented interface to the routines. Tricks and tips for scientific computing in C++ are liberally included. The routines, in ANSI/ISO C++ source code, can thus be used with almost any existing C++ vector/matrix class library, according to user preference. A simple class library for stand-alone use is also included in the book. Both scientific programmers new to C++, and experienced C++ programmers who need access to the Numerical Recipes routines, can benefit from this important new version of an invaluable, classic text.