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The quantitative and qualitative study of the physical world makes use of many mathematical models governed by a great diversity of ordinary, partial differential, integral, and integro-differential equations. An essential step in such investigations is the solution of these types of equations, which sometimes can be performed analytically, while at other times only numerically. This edited, self-contained volume presents a series of state-of-the-art analytic and numerical methods of solution constructed for important problems arising in science and engineering, all based on the powerful operation of (exact or approximate) integration. The volume may be used as a reference guide and a practical resource. It is suitable for researchers and practitioners in applied mathematics, physics, and mechanical and electrical engineering, as well as graduate students in these disciplines.
Proceedings of the NATO Advanced Study Institute, Braga, Portugal, August 24-September 4, 1981
This volume contains a collection of articles on state-of-the-art developments in the construction of theoretical integral techniques and their application to specific problems in science and engineering. Chapters in this book are based on talks given at the Seventeenth International Conference on Integral Methods in Science and Engineering, held virtually in July 2022, and are written by internationally recognized researchers. This collection will be of interest to researchers in applied mathematics, physics, and mechanical, electrical, and petroleum engineering, as well as graduate students in these disciplines and other professionals for whom integration is an essential working tool.
... "What do you call work?" "Why ain't that work?" Tom resumed his whitewashing, and answered carelessly: "Well. lI1a), he it is, and maybe it aill't. All I know, is, it suits Tom Sawvc/:" "Oil CO/lll!, IIOW, Will do not mean to let 011 that you like it?" The brush continued to move. "Likc it? Well, I do not see wlzy I oughtn't to like it. Does a hoy get a chance to whitewash a fence every day?" That put the thing ill a Ilew light. Ben stopped nibhling the apple ... (From Mark Twain's Adventures of Tom Sawyer, Chapter II.) Mathematics can put quantitative phenomena in a new light; in turn applications may provide a vivid support for mathematical concepts. This volume illustrates some aspect...
GEOTECHNICAL ENGINEERING While there are many textbooks on the market that cover geotechnical engineering basics, Geotechnical Engineering is unique in that it is the only textbook available that is rooted within the three phase unsaturated soil mechanics framework. Written by world-renowned, award-winning geotechnical engineering expert Dr. Jean-Louis Briaud, this Second Edition offers the most comprehensive coverage of geotechnical engineering topics on the market, from theory to real-world application. In addition to many updates and revisions, a major chapter has been added, covering 22 geo-engineering case histories. They are: Washington Monument (shallow mat foundation) Rissa Landslide...
Nanofluids provides insight to the mathematical, numerical, and experimental methodologies of the industrial application of nanofluids. It covers the fundamentals and applications of nanofluids in heat and mass transfer. Thoroughly covering the thermo-physical and optical properties of nanofluids in various operations, the book highlights the necessary parameters for enhancing their performance. It discusses the application of nanofluids in solar panels, car radiators, boiling operations, and CO2 absorption and regeneration. The book also considers the numeric approach for heat and mass transfer and applications, in addition to the challenges of nanofluids in industrial processes. The book will be a useful reference for researchers and graduate students studying nanotechnology and nanofluids advancements within the fields of mechanical and chemical engineering.
The mathematical modelling of free and moving boundary problems are an important topic in engineering, industry, technology and theoretical sciences. These models allow us to make calculations involved in phase change transitions of materials due to heat transfer. Boundary layer applications are widespread in research and industry. Boundary Element Methods for Heat Transfer with Phase Change Problems: Theory and Application equips the reader with information about heat transfer problems occurring during phase changes. The book covers several boundary element methods, including methods for phase changes, fixed and moving domains and new approaches. The contents are rounded off with chapters o...
A self-contained and systematic development of an aspect of analysis which deals with the theory of fundamental solutions for differential operators, and their applications to boundary value problems of mathematical physics, applied mathematics, and engineering, with the related computational aspects.
Parallel Scientific Computing and Optimization introduces new developments in the construction, analysis, and implementation of parallel computing algorithms. This book presents 23 self-contained chapters, including survey chapters and surveys, written by distinguished researchers in the field of parallel computing. Each chapter is devoted to some aspects of the subject: parallel algorithms for matrix computations, parallel optimization, management of parallel programming models and data, with the largest focus on parallel scientific computing in industrial applications. This volume is intended for scientists and graduate students specializing in computer science and applied mathematics who are engaged in parallel scientific computing.