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An Estimate Of The Error In The Approximate Periodic Solution Of The Nonlinear Differential Equation L D X F X
Download An Estimate Of The Error In The Approximate Periodic Solution Of The Nonlinear Differential Equation L D X F X full books in PDF, epub, and Kindle. Read online An Estimate Of The Error In The Approximate Periodic Solution Of The Nonlinear Differential Equation L D X F X ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
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:
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:
Author :National Aeronautics and Space Administration (NASA) Publisher :Createspace Independent Publishing Platform ISBN 13 :9781722343682 Total Pages :26 pages Book Rating :4.3/5 (436 download)
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
Book Synopsis The Error Estimation in an Approximate Solution of an Ordinary Second-order Differential Equation by : Hans Erwin Bareiss
Download or read book The Error Estimation in an Approximate Solution of an Ordinary Second-order Differential Equation written by Hans Erwin Bareiss and published by . This book was released on 1956 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Estimating the Error of Numerical Solutions of Systems of Reaction-Diffusion Equations by : Donald J. Estep
Download or read book Estimating the Error of Numerical Solutions of Systems of Reaction-Diffusion Equations written by Donald J. Estep and published by American Mathematical Soc.. This book was released on 2000 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper is concerned with the computational estimation of the error of numerical solutions of potentially degenerate reaction-diffusion equations. The underlying motivation is a desire to compute accurate estimates as opposed to deriving inaccurate analytic upper bounds. In this paper, we outline, analyze, and test an approach to obtain computational error estimates based on the introduction of the residual error of the numerical solution and in which the effects of the accumulation of errors are estimated computationally. We begin by deriving an a posteriori relationship between the error of a numerical solution and its residual error using a variational argument. This leads to the introduction of stability factors, which measure the sensitivity of solutions to various kinds of perturbations. Next, we perform some general analysis on the residual errors and stability factors to determine when they are defined and to bound their size. Then we describe the practical use of the theory to estimate the errors of numerical solutions computationally. Several key issues arise in the implementation that remain unresolved and we present partial results and numerical experiments about these points. We use this approach to estimate the error of numerical solutions of nine standard reaction-diffusion models and make a systematic comparison of the time scale over which accurate numerical solutions can be computed for these problems. We also perform a numerical test of the accuracy and reliability of the computational error estimate using the bistable equation. Finally, we apply the general theory to the class of problems that admit invariant regions for the solutions, which includes seven of the main examples. Under this additional stability assumption, we obtain a convergence result in the form of an upper bound on the error from the a posteriori error estimate. We conclude by discussing the preservation of invariant regions under discretization.
Book Synopsis L2 Estimates and Periodic Solutions of Some Nonlinear Differential Equations by : Jean Mawhin
Download or read book L2 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:
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.
Book Synopsis Estimation of Errors for the Approximate Solution of Differential Equations and Their Systems by : Diran Sarafyan
Download or read book Estimation of Errors for the Approximate Solution of Differential Equations and Their Systems written by Diran Sarafyan and published by . This book was released on 1966 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On Some Questions Arising in the Approximate Solution of Nonlinear Differential Equations by : Richard Bellman
Download or read book On Some Questions Arising in the Approximate Solution of Nonlinear Differential Equations written by Richard Bellman and published by . This book was released on 1962 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new approach to the approximate solution of nonlinear differential equations is explored. The basic idea is to rewrite the nonlinear equations in the form of an infinite sequence of coupled linear equations by application of the Carleman linearization process. The sequence is truncated at a finite stage by a linear closure approximation involving the minimization of the mean square error. Attention is given to the stability of the truncated sequence of linear equations with respect to propagation of error due to closure back to the earlier members of the sequence. The use of suitably defined orthogonal polynomials to simplify closure approximations is considered. The generalization of the general method to the multidimensional case is treated. Consideration is given to the concept of self-consistent closure methods in which the averaging of the squared closure error depends upon the approximate linear equations derived thereby. (Author).
Book Synopsis Bounds and Estimates for the Global Error in Approximate Solutions of Ordinary Differential Equations by :
Download or read book Bounds and Estimates for the Global Error in Approximate Solutions of Ordinary Differential Equations written by and published by . This book was released on 1979 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Estimation of Truncation Error in Taylor Series Solution of Ordinary Differential Equations by : Lawrence Francis Wiederholt
Download or read book Estimation of Truncation Error in Taylor Series Solution of Ordinary Differential Equations written by Lawrence Francis Wiederholt and published by . This book was released on 1966 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Estimations of Error for Nonlinear Elliptical Differential Equations by : Alfred Meyer
Download or read book Estimations of Error for Nonlinear Elliptical Differential Equations written by Alfred Meyer and published by . This book was released on 1956 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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:
Book Synopsis Assessment of Errors in Approximate Solutions of Differential Equations by : W. J. Duncan
Download or read book Assessment of Errors in Approximate Solutions of Differential Equations written by W. J. Duncan and published by . This book was released on 1947 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Linear Differential Equations with Variable Coefficients by : Ĭosip Zakharovych Shtokalo
Download or read book Linear Differential Equations with Variable Coefficients written by Ĭosip Zakharovych Shtokalo and published by . This book was released on 1961 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Periodic Solution to a Particular Nonlinear Differential Equation with a Forcing Term by : Alexander Jen Wang
Download or read book Periodic Solution to a Particular Nonlinear Differential Equation with a Forcing Term written by Alexander Jen Wang and published by . This book was released on 1950 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Error Bounds and Uniqueness for the Solutions of Nonlinear, Strongly Coupled, Parabolic Systems of Differential Equations by : Karl Nickel
Download or read book Error Bounds and Uniqueness for the Solutions of Nonlinear, Strongly Coupled, Parabolic Systems of Differential Equations written by Karl Nickel and published by . This book was released on 1976 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: The boundary value problem for a nonlinear, strongly coupled, parabolic system of differential equations in a box is considered. The system consists of 2 equations with 3 unknowns. The right sides of the differential equation satisfy Lipschitz conditions. Error bounds for an approximate solution are given. A uniqueness theorem is proven. The results are derived with the aid of the theory of differential inequalities and by using a theorem of Kolmogorov for the solution of the Landau problem.
