Numerical Methods: Think before You Compute

Numerical Methods: Think before You Compute

Author: E. J. Hinch

Publisher: Cambridge University Press

Published: 2020-04-30

Total Pages: 243

ISBN-13: 1108479545

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This guide to computational fluid mechanics introduces beginning graduate students to the subject's standard methods and common pitfalls.


Data Structures, Near Neighbor Searches, and Methodology: Fifth and Sixth DIMACS Implementation Challenges

Data Structures, Near Neighbor Searches, and Methodology: Fifth and Sixth DIMACS Implementation Challenges

Author: Michael H. Goldwasser

Publisher: American Mathematical Soc.

Published: 2002

Total Pages: 272

ISBN-13: 0821828924

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The 11 papers are from two workshops: one in 1995-95 on dictionaries and priority queues, and the other in 1998-99 on near neighbor searches, the fifth and sixth DIMACS Algorithm Implementation Challenges initiated in 1991. They address those challenges with considerations of a practical perfect hashing algorithm, locally lifting the curse of dimensionality for a nearest neighbor search, and other topics. They also discuss methodology for the experimental analysis of algorithms. They are not indexed. Annotation copyrighted by Book News, Inc., Portland, OR.


What Is a Quantum Field Theory?

What Is a Quantum Field Theory?

Author: Michel Talagrand

Publisher: Cambridge University Press

Published: 2022-03-17

Total Pages: 760

ISBN-13: 1108247113

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Quantum field theory (QFT) is one of the great achievements of physics, of profound interest to mathematicians. Most pedagogical texts on QFT are geared toward budding professional physicists, however, whereas mathematical accounts are abstract and difficult to relate to the physics. This book bridges the gap. While the treatment is rigorous whenever possible, the accent is not on formality but on explaining what the physicists do and why, using precise mathematical language. In particular, it covers in detail the mysterious procedure of renormalization. Written for readers with a mathematical background but no previous knowledge of physics and largely self-contained, it presents both basic physical ideas from special relativity and quantum mechanics and advanced mathematical concepts in complete detail. It will be of interest to mathematicians wanting to learn about QFT and, with nearly 300 exercises, also to physics students seeking greater rigor than they typically find in their courses. Erratum for the book can be found at michel.talagrand.net/erratum.pdf.


Learning by Discovery

Learning by Discovery

Author: Anita E. Solow

Publisher: Cambridge University Press

Published: 1993

Total Pages: 184

ISBN-13: 9780883850831

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This book contains 26 laboratory modules for use in coursework or in independent projects.


Why Programs Fail

Why Programs Fail

Author: Andreas Zeller

Publisher: Morgan Kaufmann

Published: 2009-06-12

Total Pages: 425

ISBN-13: 0123745152

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An award-winning guide to faster and easier debugging is now updated with the latest tools and techniques. It demystifies one of the toughest aspects of software programming, showing clearly how to discover what caused software failures, and fix them with minimal muss and fuss.


Stirling And Thermal-lag Engines: Motive Power Without The Co2

Stirling And Thermal-lag Engines: Motive Power Without The Co2

Author: Allan J Organ

Publisher: World Scientific

Published: 2022-12-29

Total Pages: 482

ISBN-13: 1800611064

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Existing literature focuses on the alleged merits of the Stirling engine. These are indeed latent but, decades on, remain to be fully realised. This is despite the fact that Stirling and other closed-cycle prime-movers offer a contribution to an ultra-low carbon economy. By contrast with solar panels, the initial manufacture of Stirling engines makes no demands on scarce or exotic raw materials. Further, calculating embodied carbon per kWh favours the Stirling engine by a wide margin.However, the reader expecting to find the Stirling engine promoted as a panacea for energy problems may be surprised to find the reverse. Stirling and Thermal-Lag Engines reflects upon the fact that there is more to be gained by approaching its subject as a problem than as a solution. The Achilles heel of the Stirling engine is a low numerical value of specific work, defined as work per cycle per swept volume per unit of charge pressure and conventionally denoted Beale number NB. Measured values remain unimproved since 1818, quantified here for the first time at 2% of the NB of the modern internal combustion engine! The low figure is traced to incomplete utilisation of the working gas. Only a small percentage of the charge gas — if any — is processed through a complete cycle, i.e., between temperature extremes.The book offers ready-made tools including a simplified algorithm for particle trajectory map construction; an author-patented mechanism delivering optimised working-gas distribution; flow and heat transfer data re-acquired in context and an illustrated re-derivation of the academically respected Method of Characteristics which now copes with shock formation and flow-area discontinuities. All formulations are presented in sufficient detail to allow the reader to 'pick up and run' with them using the data offered in the book.The various strands are drawn together in a comprehensively engineered design of an internally focusing solar Stirling engine, presented in a form allowing a reader with access to basic machining facilities to construct one.The sun does not always shine. But neither will the oil always flow. This new title offers an entrée to technology appropriate to the 21st century.


Numerical Simulation of Incompressible Viscous Flow

Numerical Simulation of Incompressible Viscous Flow

Author: Roland Glowinski

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2022-09-20

Total Pages: 236

ISBN-13: 3110785056

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This book on finite element-based computational methods for solving incompressible viscous fluid flow problems shows readers how to apply operator splitting techniques to decouple complicated computational fluid dynamics problems into a sequence of relatively simpler sub-problems at each time step, such as hemispherical cavity flow, cavity flow of an Oldroyd-B viscoelastic flow, and particle interaction in an Oldroyd-B type viscoelastic fluid. Efficient and robust numerical methods for solving those resulting simpler sub-problems are introduced and discussed. Interesting computational results are presented to show the capability of methodologies addressed in the book.


An Invitation to Applied Mathematics

An Invitation to Applied Mathematics

Author: Carmen Chicone

Publisher: Academic Press

Published: 2016-09-24

Total Pages: 880

ISBN-13: 0128041544

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An Invitation to Applied Mathematics: Differential Equations, Modeling, and Computation introduces the reader to the methodology of modern applied mathematics in modeling, analysis, and scientific computing with emphasis on the use of ordinary and partial differential equations. Each topic is introduced with an attractive physical problem, where a mathematical model is constructed using physical and constitutive laws arising from the conservation of mass, conservation of momentum, or Maxwell's electrodynamics. Relevant mathematical analysis (which might employ vector calculus, Fourier series, nonlinear ODEs, bifurcation theory, perturbation theory, potential theory, control theory, or probability theory) or scientific computing (which might include Newton's method, the method of lines, finite differences, finite elements, finite volumes, boundary elements, projection methods, smoothed particle hydrodynamics, or Lagrangian methods) is developed in context and used to make physically significant predictions. The target audience is advanced undergraduates (who have at least a working knowledge of vector calculus and linear ordinary differential equations) or beginning graduate students. Readers will gain a solid and exciting introduction to modeling, mathematical analysis, and computation that provides the key ideas and skills needed to enter the wider world of modern applied mathematics. - Presents an integrated wealth of modeling, analysis, and numerical methods in one volume - Provides practical and comprehensible introductions to complex subjects, for example, conservation laws, CFD, SPH, BEM, and FEM - Includes a rich set of applications, with more appealing problems and projects suggested


Math

Math

Author: Marilyn Burns

Publisher: Math Solutions

Published: 1998

Total Pages: 176

ISBN-13: 0941355195

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Humorously Uncovers the Reasons Behind Math's Dreadful Reputation and Shows us How we Can Help Prevent Our Own Children From Adopting Similar Phobic Attitudes