Download or read book Surveys in applied mathematics written by Nicholas Constantine Metropolis and published by . This book was released on 1976 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Surveys in Applied Mathematics written by N. Metropolis and published by Academic Press. This book was released on 2014-05-10 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surveys in Applied Mathematics: Essays Dedicated to S.M. Ulam covers the proceedings of the First Los Alamos Symposium on Mathematics in the Natural Sciences. The book focuses on the processes, principles, methodologies, and applications of mathematics in the natural sciences. The selection first offers information on the role of applied mathematics, shape of a curve, and biased versus unbiased estimation. Discussions focus on the James-Stein estimator, automorphic forms and Poincaré series, Poincaré metrics, Schottky space and augmented Schottky space, and Schottky groups and Riemann surfaces. The text then examines algorithms, Whitney numbers of geometric lattices, and continued fraction expansion of algebraic numbers. The book takes a look at bifurcations in reaction-diffusion problems, survey of some finite element methods proposed for treating the Dirichlet problem, and mathematics of quantum fields. Topics include Dirichlet problem, chemical waves and reaction-diffusion equations, and bifurcation theorems. The text then ponders on almost periodic behavior of nonlinear waves, turbulence theory, and renormalization group methods. The selection is a valuable source of information for mathematicians and researchers interested in applied mathematics.
Download or read book Surveys in Applied Mathematics written by Joseph B. Keller and published by Springer. This book was released on 2013-12-21 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Partial differential equations play a central role in many branches of science and engineering. Therefore it is important to solve problems involving them. One aspect of solving a partial differential equation problem is to show that it is well-posed, i. e. , that it has one and only one solution, and that the solution depends continuously on the data of the problem. Another aspect is to obtain detailed quantitative information about the solution. The traditional method for doing this was to find a representation of the solution as a series or integral of known special functions, and then to evaluate the series or integral by numerical or by asymptotic methods. The shortcoming of this method is that there are relatively few problems for which such representations can be found. Consequently, the traditional method has been replaced by methods for direct solution of problems either numerically or asymptotically. This article is devoted to a particular method, called the "ray method," for the asymptotic solution of problems for linear partial differential equations governing wave propagation. These equations involve a parameter, such as the wavelength. . \, which is small compared to all other lengths in the problem. The ray method is used to construct an asymptotic expansion of the solution which is valid near . . \ = 0, or equivalently for k = 21r I A near infinity.
Download or read book Surveys in Applied Mathematics written by Mark I. Freidlin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 2 offers three in-depth articles covering significant areas in applied mathematics research. Chapters feature numerous illustrations, extensive background material and technical details, and abundant examples. The authors analyze nonlinear front propagation for a large class of semilinear partial differential equations using probabilistic methods; examine wave localization phenomena in one-dimensional random media; and offer an extensive introduction to certain model equations for nonlinear wave phenomena.
Download or read book Surveys in Applied Mathematics written by Joseph B. Keller and published by . This book was released on 1995 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Survey of Applicable Mathematics written by Karel Rektorys and published by Mit Press. This book was released on 1969-06 with total page 1369 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Asymptotics and Borel Summability written by Ovidiu Costin and published by CRC Press. This book was released on 2008-12-04 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Incorporating substantial developments from the last thirty years into one resource, Asymptotics and Borel Summability provides a self-contained introduction to asymptotic analysis with special emphasis on topics not covered in traditional asymptotics books. The author explains basic ideas, concepts, and methods of generalized Borel summability, tr
Download or read book Surveys in Applied Mathematics written by Joseph B. Keller and published by . This book was released on 2014-09-01 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Kernel Mode Decomposition and the Programming of Kernels written by Houman Owhadi and published by Springer Nature. This book was released on 2022-01-01 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph demonstrates a new approach to the classical mode decomposition problem through nonlinear regression models, which achieve near-machine precision in the recovery of the modes. The presentation includes a review of generalized additive models, additive kernels/Gaussian processes, generalized Tikhonov regularization, empirical mode decomposition, and Synchrosqueezing, which are all related to and generalizable under the proposed framework. Although kernel methods have strong theoretical foundations, they require the prior selection of a good kernel. While the usual approach to this kernel selection problem is hyperparameter tuning, the objective of this monograph is to present an alternative (programming) approach to the kernel selection problem while using mode decomposition as a prototypical pattern recognition problem. In this approach, kernels are programmed for the task at hand through the programming of interpretable regression networks in the context of additive Gaussian processes. It is suitable for engineers, computer scientists, mathematicians, and students in these fields working on kernel methods, pattern recognition, and mode decomposition problems.
Download or read book Principles Of Applied Mathematics written by James P. Keener and published by CRC Press. This book was released on 2019-05-20 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: Principles of Applied Mathematics provides a comprehensive look at how classical methods are used in many fields and contexts. Updated to reflect developments of the last twenty years, it shows how two areas of classical applied mathematics spectral theory of operators and asymptotic analysis are useful for solving a wide range of applied science problems. Topics such as asymptotic expansions, inverse scattering theory, and perturbation methods are combined in a unified way with classical theory of linear operators. Several new topics, including wavelength analysis, multigrid methods, and homogenization theory, are blended into this mix to amplify this theme.This book is ideal as a survey course for graduate students in applied mathematics and theoretically oriented engineering and science students. This most recent edition, for the first time, now includes extensive corrections collated and collected by the author.
Download or read book Applied Delay Differential Equations written by Thomas Erneux and published by Springer Science & Business Media. This book was released on 2009-03-06 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied Delay Differential Equations is a friendly introduction to the fast-growing field of time-delay differential equations. Written to a multi-disciplinary audience, it sets each area of science in his historical context and then guides the reader towards questions of current interest.
Download or read book Report on a Survey of Training and Research in Applied Mathematics in the United States written by National Research Council (U.S.). Committee on Training and Research in Applied Mathematics and published by . This book was released on 1956 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Final Report on a Survey of Training and Research in Applied Mathematics in the United States written by National Research Council (U.S.). Committee on Training and Research in Applied Mathematics and published by . This book was released on 1956 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Surveys in Applied Mathematics A Joint Project of the Office of Naval Research and Applied Mechanics Reviews written by United States. Office of Naval Research and published by . This book was released on 1958 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Final Report on a Survey of Training and Research in Applied Mathematics in the United States written by National Research Council (U.S.). Committee on Training and Research in Applied Mathematics and published by . This book was released on 1954 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Survey of Applicable Mathematics written by K. Rektorys and published by Springer. This book was released on 2013-12-19 with total page 1781 pages. Available in PDF, EPUB and Kindle. Book excerpt: This major two-volume handbook is an extensively revised, updated second edition of the highly praised Survey of Applicable Mathematics, first published in English in 1969. The thirty-seven chapters cover all the important mathematical fields of use in applications: algebra, geometry, differential and integral calculus, infinite series, orthogonal systems of functions, Fourier series, special functions, ordinary differential equations, partial differential equations, integral equations, functions of one and several complex variables, conformal mapping, integral transforms, functional analysis, numerical methods in algebra and in algebra and in differential boundary value problems, probability, statistics, stochastic processes, calculus of variations, and linear programming. All proofs have been omitted. However, theorems are carefully formulated, and where considered useful, are commented with explanatory remarks. Many practical examples are given by way of illustration. Each of the two volumes contains an extensive bibliography and a comprehensive index. Together these two volumes represent a survey library of mathematics which is applicable in many fields of science, engineering, economics, etc. For researchers, students and teachers of mathematics and its applications.
Download or read book Surveys in Applied Mathematics written by Alamos Symposium on Mathematics in the Natural Sciences (1st : 1974) Los and published by . This book was released on 1976 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
