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Book Finite Element Methods for a Strongly Damped Wave Equation

Download or read book Finite Element Methods for a Strongly Damped Wave Equation written by Stig Larsson and published by . This book was released on 1989 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Composite Asymptotic Expansions

Download or read book Composite Asymptotic Expansions written by Augustin Fruchard and published by Springer. This book was released on 2012-12-15 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of these lecture notes is to develop a theory of asymptotic expansions for functions involving two variables, while at the same time using functions involving one variable and functions of the quotient of these two variables. Such composite asymptotic expansions (CAsEs) are particularly well-suited to describing solutions of singularly perturbed ordinary differential equations near turning points. CAsEs imply inner and outer expansions near turning points. Thus our approach is closely related to the method of matched asymptotic expansions. CAsEs offer two unique advantages, however. First, they provide uniform expansions near a turning point and away from it. Second, a Gevrey version of CAsEs is available and detailed in the lecture notes. Three problems are presented in which CAsEs are useful. The first application concerns canard solutions near a multiple turning point. The second application concerns so-called non-smooth or angular canard solutions. Finally an Ackerberg-O’Malley resonance problem is solved.

Book Saling Variables and Asymptotic Expansions in Damped Wave Equations

Download or read book Saling Variables and Asymptotic Expansions in Damped Wave Equations written by Th Gallay and published by . This book was released on 1997 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Asymptotic Expansions  Their Derivation and Interpretation

Download or read book Asymptotic Expansions Their Derivation and Interpretation written by Robert B. Dingle and published by . This book was released on 1973 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book On the Strongly Damped Wave Equation with Constraint

Download or read book On the Strongly Damped Wave Equation with Constraint written by and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A weak formulation for the so-called semilinear strongly damped wave equation with constraint is introduced and a corresponding notion of solution is defined. The main idea in this approach consists in the use of duality techniques in Sobolev-Bochner spaces, aimed at providing a suitable "relaxation" of the constraint term. A global in time existence result is proved under the natural condition that the initial data have finite "physical" energy.

Book Asymptotic Expansions

Download or read book Asymptotic Expansions written by Edward Thomas Copson and published by Cambridge University Press. This book was released on 1965-01-01 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: Asymptotic representation of a function os of great importance in many branches of pure and applied mathematics.

Book Asymptotic Expansions for Ordinary Differential Equations

Download or read book Asymptotic Expansions for Ordinary Differential Equations written by Wolfgang Richard Wasow and published by Dover Publications. This book was released on 1987 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: - Important scientific and scholarly titles previously unavailable- Sturdy hardcover volumes with sewn bindings and laminated covers- Prices well below those of comparable publications

Book Remarks on the Asymptotic Behavior of Solutions to Damped Wave Equations in Hilbert Space

Download or read book Remarks on the Asymptotic Behavior of Solutions to Damped Wave Equations in Hilbert Space written by Frederick Bloom and published by . This book was released on 1978 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lower bounds are derived for the norms of solutions to a class of initial-value problems associated with the damped wave equation sub tt + Au sub t + Bu=0 in Hilbert space. Under appropriate assumptions on the linear operator B it is shown that even in the special strongly damped case where A = Gamma I, Gamma> 0, solutions are bounded way from zero as t approaches plus infinity, even when Gamma approaches plus infinity. (Author).

Book Asymptotic Wave Theory

Download or read book Asymptotic Wave Theory written by Maurice Roseau and published by North-Holland. This book was released on 1976 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Applied Asymptotic Expansions in Momenta and Masses

Download or read book Applied Asymptotic Expansions in Momenta and Masses written by Vladimir A. Smirnov and published by Springer. This book was released on 2014-03-12 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'The sturgeon they sent was second grade fresh,' said the barman. 'Really, what nonsense/' 'Why nonsense?' '"Second grade fresh" that's what I call nonsense/ There's only one degree of freshness the first, and it's the last) (M. A. Bulgakov, The Master and Margarita) The goal of this book is to describe in detail how Feynman integrals can be expanded in suitable parameters, when various momenta or masses are small or large. In a narrow sense, this problem is connected with practical calcula tions. In a situation where a given Feynman integral depends on parameters of very different scales, a natural idea is to replace it by a sufficiently large number of terms of an expansion of it in ratios of small and large scales. It will be explained how this problem of expansion can be systematically solved, by formulating universal prescriptions that express terms of the expansion by using the original Feynman integral with its integrand expanded into a Taylor series in appropriate momenta and masses. It turns out that knowledge of the structure of the asymptotic expansion at the diagrammatic level is a key point in understanding how to perform expansions at the operator level. There are various examples of these ex pansions: the operator product expansion, the large mass expansion, Heavy Quark Effective Theory, Non Relativistic QCD, etc. Each of them serves as a realization of the factorization of contributions of different scales.

Book Asymptotic Expansions

Download or read book Asymptotic Expansions written by Edward Thomas Copson and published by . This book was released on 1971 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Chebyshev and Fourier Spectral Methods

Download or read book Chebyshev and Fourier Spectral Methods written by John P. Boyd and published by Courier Corporation. This book was released on 2001-12-03 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: Completely revised text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, as well as cardinal functions, linear eigenvalue problems, matrix-solving methods, coordinate transformations, methods for unbounded intervals, spherical and cylindrical geometry, and much more. 7 Appendices. Glossary. Bibliography. Index. Over 160 text figures.

Book Asymptotic Expansions of Integrals

Download or read book Asymptotic Expansions of Integrals written by Norman Bleistein and published by . This book was released on 1974 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Numerical Solution of Differential Equations

Download or read book Numerical Solution of Differential Equations written by Zhilin Li and published by Cambridge University Press. This book was released on 2017-11-30 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: A practical and concise guide to finite difference and finite element methods. Well-tested MATLAB® codes are available online.