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Author : Jim Douglas (Jr.)
Publisher :
ISBN 13 :
Total Pages : 48 pages
Book Rating : 4.3/5 (91 download)
Download or read book An Approximate Solution of an Improper Boundary Value Problem written by Jim Douglas (Jr.) and published by . This book was released on 1958 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Uri M. Ascher
Publisher : SIAM
ISBN 13 : 9781611971231
Total Pages : 620 pages
Book Rating : 4.9/5 (712 download)
Download or read book Numerical Solution of Boundary Value Problems for Ordinary Differential Equations written by Uri M. Ascher and published by SIAM. This book was released on 1994-12-01 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the most comprehensive, up-to-date account of the popular numerical methods for solving boundary value problems in ordinary differential equations. It aims at a thorough understanding of the field by giving an in-depth analysis of the numerical methods by using decoupling principles. Numerous exercises and real-world examples are used throughout to demonstrate the methods and the theory. Although first published in 1988, this republication remains the most comprehensive theoretical coverage of the subject matter, not available elsewhere in one volume. Many problems, arising in a wide variety of application areas, give rise to mathematical models which form boundary value problems for ordinary differential equations. These problems rarely have a closed form solution, and computer simulation is typically used to obtain their approximate solution. This book discusses methods to carry out such computer simulations in a robust, efficient, and reliable manner.
Author : C. De Coster
Publisher : Elsevier
ISBN 13 : 0080462472
Total Pages : 502 pages
Book Rating : 4.0/5 (84 download)
Download or read book Two-Point Boundary Value Problems: Lower and Upper Solutions written by C. De Coster and published by Elsevier. This book was released on 2006-03-21 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the method of lower and upper solutions for ordinary differential equations. This method is known to be both easy and powerful to solve second order boundary value problems. Besides an extensive introduction to the method, the first half of the book describes some recent and more involved results on this subject. These concern the combined use of the method with degree theory, with variational methods and positive operators. The second half of the book concerns applications. This part exemplifies the method and provides the reader with a fairly large introduction to the problematic of boundary value problems. Although the book concerns mainly ordinary differential equations, some attention is given to other settings such as partial differential equations or functional differential equations. A detailed history of the problem is described in the introduction.· Presents the fundamental features of the method· Construction of lower and upper solutions in problems· Working applications and illustrated theorems by examples· Description of the history of the method and Bibliographical notes
Author : L. E. Payne
Publisher : SIAM
ISBN 13 : 0898710197
Total Pages : 81 pages
Book Rating : 4.8/5 (987 download)
Download or read book Improperly Posed Problems in Partial Differential Equations written by L. E. Payne and published by SIAM. This book was released on 1975-06-01 with total page 81 pages. Available in PDF, EPUB and Kindle. Book excerpt: A discussion of improperly posed Cauchy problems in partial differential equations
Author : Bailey
Publisher : Academic Press
ISBN 13 : 0080955525
Total Pages : 190 pages
Book Rating : 4.0/5 (89 download)
Download or read book Nonlinear Two Point Boundary Value Problems written by Bailey and published by Academic Press. This book was released on 1968 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Two Point Boundary Value Problems
Author : Dennis G. Zill
Publisher :
ISBN 13 : 9780534420741
Total Pages : 619 pages
Book Rating : 4.4/5 (27 download)
Download or read book Differential Equations with Boundary-value Problems written by Dennis G. Zill and published by . This book was released on 2005 with total page 619 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now enhanced with the innovative DE Tools CD-ROM and the iLrn teaching and learning system, this proven text explains the "how" behind the material and strikes a balance between the analytical, qualitative, and quantitative approaches to the study of differential equations. This accessible text speaks to students through a wealth of pedagogical aids, including an abundance of examples, explanations, "Remarks" boxes, definitions, and group projects. This book was written with the student's understanding firmly in mind. Using a straightforward, readable, and helpful style, this book provides a thorough treatment of boundary-value problems and partial differential equations.
Author : Mark A. Pinsky
Publisher : American Mathematical Soc.
ISBN 13 : 0821868896
Total Pages : 545 pages
Book Rating : 4.8/5 (218 download)
Download or read book Partial Differential Equations and Boundary-Value Problems with Applications written by Mark A. Pinsky and published by American Mathematical Soc.. This book was released on 2011 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building on the basic techniques of separation of variables and Fourier series, the book presents the solution of boundary-value problems for basic partial differential equations: the heat equation, wave equation, and Laplace equation, considered in various standard coordinate systems--rectangular, cylindrical, and spherical. Each of the equations is derived in the three-dimensional context; the solutions are organized according to the geometry of the coordinate system, which makes the mathematics especially transparent. Bessel and Legendre functions are studied and used whenever appropriate throughout the text. The notions of steady-state solution of closely related stationary solutions are developed for the heat equation; applications to the study of heat flow in the earth are presented. The problem of the vibrating string is studied in detail both in the Fourier transform setting and from the viewpoint of the explicit representation (d'Alembert formula). Additional chapters include the numerical analysis of solutions and the method of Green's functions for solutions of partial differential equations. The exposition also includes asymptotic methods (Laplace transform and stationary phase). With more than 200 working examples and 700 exercises (more than 450 with answers), the book is suitable for an undergraduate course in partial differential equations.
Author : Andreĭ Nikolaevich Tikhonov
Publisher : Winston Publishing
ISBN 13 :
Total Pages : 278 pages
Book Rating : 4.3/5 (91 download)
Download or read book Solutions of Ill-posed Problems written by Andreĭ Nikolaevich Tikhonov and published by Winston Publishing. This book was released on 1977 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Charles Henry Edwards
Publisher : Pearson
ISBN 13 : 9780321796981
Total Pages : 0 pages
Book Rating : 4.7/5 (969 download)
Download or read book Differential Equations and Boundary Value Problems written by Charles Henry Edwards and published by Pearson. This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written from the perspective of the applied mathematician, the latest edition of this bestselling book focuses on the theory and practical applications of Differential Equations to engineering and the sciences. Emphasis is placed on the methods of solution, analysis, and approximation. Use of technology, illustrations, and problem sets help readers develop an intuitive understanding of the material. Historical footnotes trace the development of the discipline and identify outstanding individual contributions. This book builds the foundation for anyone who needs to learn differential equations and then progress to more advanced studies.
Author :
Publisher :
ISBN 13 :
Total Pages : 1296 pages
Book Rating : 4.3/5 (243 download)
Download or read book U.S. Government Research Reports written by and published by . This book was released on 1960 with total page 1296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ivan A. Parinov
Publisher : Springer
ISBN 13 : 3030198944
Total Pages : 662 pages
Book Rating : 4.0/5 (31 download)
Download or read book Advanced Materials written by Ivan A. Parinov and published by Springer. This book was released on 2019-07-03 with total page 662 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes selected, peer-reviewed contributions from the 2018 International Conference on “Physics and Mechanics of New Materials and Their Applications”, PHENMA 2018, held in Busan, South Korea, 9–11 August 2018. Focusing on manufacturing techniques, physics, mechanics, and applications of modern materials with special properties, it covers a broad spectrum of nanomaterials and structures, ferroelectrics and ferromagnetics, and other advanced materials and composites. The authors discuss approaches and methods in nanotechnology; newly developed, environmentally friendly piezoelectric techniques; and physical and mechanical studies of the microstructural and other properties of materials. Further, the book presents a range of original theoretical, experimental and computational methods and their application in the solution of various technological, mechanical and physical problems. Moreover, it highlights modern devices demonstrating high accuracy, longevity and the ability to operate over wide temperature and pressure ranges or in aggressive media. The developed devices show improved characteristics due to the use of advanced materials and composites, opening new horizons in the investigation of a variety of physical and mechanical processes and phenomena.
Author :
Publisher : American Mathematical Soc.
ISBN 13 : 9780821831359
Total Pages : 276 pages
Book Rating : 4.8/5 (313 download)
Download or read book Theory and Applications of Differentiable Functions of Several Variables written by and published by American Mathematical Soc.. This book was released on 1990 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tse-Fou Zien
Publisher :
ISBN 13 :
Total Pages : 48 pages
Book Rating : 4.3/5 (91 download)
Download or read book Approximate Analysis of Heat Transfer in Transpired Boundary Layers at Limiting Prandtl Numbers written by Tse-Fou Zien and published by . This book was released on 1974 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: A simple procedure is developed for approximate calculations of wall heat-transfer rates in transpired boundary layers. Applications of this procedure are illustrated by various examples of incompressible, laminar flows in the limits of large and small Prandtl numbers. A distinguished limit of large Prandtl number and small mass-transfer rate is easily identified, and some limiting solutions are presented for the porous-plate configuration. Calculations for the cases with small Prandtl numbers explicitly demonstrate the usefulness of the method in studying transient heat-conduction problems. The remarkable combination of accuracy and simplicity represents the principal merit of the method. (Author).
Author : J. David Logan
Publisher : John Wiley & Sons
ISBN 13 : 1118501705
Total Pages : 688 pages
Book Rating : 4.1/5 (185 download)
Download or read book Applied Mathematics written by J. David Logan and published by John Wiley & Sons. This book was released on 2013-06-18 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the Third Edition “Future mathematicians, scientists, and engineers should find the book to be an excellent introductory text for coursework or self-study as well as worth its shelf space for reference.” —MAA Reviews Applied Mathematics, Fourth Edition is a thoroughly updated and revised edition on the applications of modeling and analyzing natural, social, and technological processes. The book covers a wide range of key topics in mathematical methods and modeling and highlights the connections between mathematics and the applied and natural sciences. The Fourth Edition covers both standard and modern topics, including scaling and dimensional analysis; regular and singular perturbation; calculus of variations; Green’s functions and integral equations; nonlinear wave propagation; and stability and bifurcation. The book provides extended coverage of mathematical biology, including biochemical kinetics, epidemiology, viral dynamics, and parasitic disease. In addition, the new edition features: Expanded coverage on orthogonality, boundary value problems, and distributions, all of which are motivated by solvability and eigenvalue problems in elementary linear algebra Additional MATLAB® applications for computer algebra system calculations Over 300 exercises and 100 illustrations that demonstrate important concepts New examples of dimensional analysis and scaling along with new tables of dimensions and units for easy reference Review material, theory, and examples of ordinary differential equations New material on applications to quantum mechanics, chemical kinetics, and modeling diseases and viruses Written at an accessible level for readers in a wide range of scientific fields, Applied Mathematics, Fourth Edition is an ideal text for introducing modern and advanced techniques of applied mathematics to upper-undergraduate and graduate-level students in mathematics, science, and engineering. The book is also a valuable reference for engineers and scientists in government and industry.
Author :
Publisher :
ISBN 13 :
Total Pages : 568 pages
Book Rating : 4.:/5 (26 download)
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1973 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : United States. National Aeronautics and Space Administration
Publisher :
ISBN 13 :
Total Pages : 1526 pages
Book Rating : 4.:/5 (319 download)
Download or read book NASA Technical Translation written by United States. National Aeronautics and Space Administration and published by . This book was released on 1972 with total page 1526 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M. Hori
Publisher : CRC Press
ISBN 13 : 1000615723
Total Pages : 189 pages
Book Rating : 4.0/5 (6 download)
Download or read book Integrated Earthquake Simulation written by M. Hori and published by CRC Press. This book was released on 2022-09-26 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integrated earthquake simulation (IES) is a new method for evaluating earthquake hazards and disasters induced in cities and urban areas. It utilises a sequence of numerical simulations of such aspects as earthquake wave propagation, ground motion amplification, structural seismic response, and mass evacuation. This book covers the basics of numerical analysis methods of solving wave equations, analyzing structural responses, and developing agent models for mass evaluation, which are implemented in IES. IES makes use of Monte-Carlo simulation, which takes account of the effects of uncertainties related to earthquake scenarios and the modeling of structures both above and below ground, and facilitates a better estimate of overall earthquake and disaster hazard. It also presents the recent achievement of enhancing IES with high-performance computing capability that can make use of automated models which employ various numerical analysis methods. Detailed examples of IES for the Tokyo Metropolis Earthquake and the Nankai Trough Earthquake are given, which use large scale analysis models of actual cities and urban areas.
