Guidelines for the Use of Advanced Numerical Analysis

Guidelines for the Use of Advanced Numerical Analysis
Author: David Potts
Publisher: Thomas Telford
Total Pages: 188
Release: 2002
Genre: Engineering geology
ISBN: 0727731254

It is not easy for engineers to gain all the skills necessary to perform numerical analysis. This book is an authoritative guide that explains in detail the potential restrictions and pitfalls and so help engineers undertake advanced numerical analysis. It discusses the major approximations involved in nonlinear numerical analysis and describes some of the more popular constituitive models currently available and explores their strengths and weaknesses. It also discusses the determination of material parameters for defining soil behaviour, investigates the options for modelling structural components and their interface with the soil and the boundary conditions that are appropriate in geotechnical analysis and the assumptions implied when they are used. Guidelines for the use of Advanced Numerical Analysis also provides guidelines for best practice of specific types of soil-structure interaction that are common in urban development and discusses the role of benchmarking exercises. This authoritative book will be invaluable to practising engineers involved in urban development. It will also be useful tool for geotechnical and structural engineers.

Numerical Analysis

Numerical Analysis
Author: Timothy Sauer
Publisher:
Total Pages: 608
Release: 2013-07-26
Genre: Numerical analysis
ISBN: 9781292023588

Numerical Analysis, Second Edition, is a modern and readable text for the undergraduate audience. This book covers not only the standard topics but also some more advanced numerical methods being used by computational scientists and engineers-topics such as compression, forward and backward error analysis, and iterative methods of solving equations-all while maintaining a level of discussion appropriate for undergraduates. Each chapter contains a Reality Check, which is an extended exploration of relevant application areas that can launch individual or team projects. MATLAB(r) is used throughout to demonstrate and implement numerical methods. The Second Edition features many noteworthy improvements based on feedback from users, such as new coverage of Cholesky factorization, GMRES methods, and nonlinear PDEs.

Advanced Mathematical and Computational Geomechanics

Advanced Mathematical and Computational Geomechanics
Author: Dimitrios Kolymbas
Publisher: Springer Science & Business Media
Total Pages: 344
Release: 2003-08-25
Genre: Science
ISBN: 9783540405474

Geomechanics is the mechanics of geomaterials, i.e. soils and rocks, and deals with fascinating problems such as settlements, stability of excavations, tunnels and offshore platforms, landslides, earthquakes and liquefaction. This edited book presents recent mathematical and computational tools and models to describe and simulate such problems in Geomechanics and Geotechnical Engineering. It includes a collection of contributions emanating from the three Euroconferences GeoMath ("Mathematical Methods in Geomechanics") that were held between 2000 and 2002 in Innsbruck/Austria and Horto/Greece.

Numerical Analysis with Applications in Mechanics and Engineering

Numerical Analysis with Applications in Mechanics and Engineering
Author: Petre Teodorescu
Publisher: John Wiley & Sons
Total Pages: 458
Release: 2013-05-07
Genre: Computers
ISBN: 1118614623

A much-needed guide on how to use numerical methods to solve practical engineering problems Bridging the gap between mathematics and engineering, Numerical Analysis with Applications in Mechanics and Engineering arms readers with powerful tools for solving real-world problems in mechanics, physics, and civil and mechanical engineering. Unlike most books on numerical analysis, this outstanding work links theory and application, explains the mathematics in simple engineering terms, and clearly demonstrates how to use numerical methods to obtain solutions and interpret results. Each chapter is devoted to a unique analytical methodology, including a detailed theoretical presentation and emphasis on practical computation. Ample numerical examples and applications round out the discussion, illustrating how to work out specific problems of mechanics, physics, or engineering. Readers will learn the core purpose of each technique, develop hands-on problem-solving skills, and get a complete picture of the studied phenomenon. Coverage includes: How to deal with errors in numerical analysis Approaches for solving problems in linear and nonlinear systems Methods of interpolation and approximation of functions Formulas and calculations for numerical differentiation and integration Integration of ordinary and partial differential equations Optimization methods and solutions for programming problems Numerical Analysis with Applications in Mechanics and Engineering is a one-of-a-kind guide for engineers using mathematical models and methods, as well as for physicists and mathematicians interested in engineering problems.

Advanced Rail Geotechnology – Ballasted Track

Advanced Rail Geotechnology – Ballasted Track
Author: Buddhima Indraratna
Publisher: CRC Press
Total Pages: 579
Release: 2023-08-14
Genre: Science
ISBN: 1000925420

Ballast plays a vital role in transmitting and distributing the train wheel loads to the underlying track substructure. The load-bearing capacity, safe train speed, and the levels of noise and vibration, as well as passenger comfort depend on the behaviour of ballast through particle interlocking and the corresponding deformation of this granular assembly. Attrition and breakage of ballast occur progressively under heavy and continual cyclic loading, causing track deterioration and rail misalignment affecting safety, while exacerbating the intensity of track maintenance. In the absence of realistic computational models, the track substructure is traditionally designed using mostly empirical approaches. In this book, the authors present the detailed information on the strength, deformation, and degradation aspects of fresh and recycled ballast under monotonic, cyclic, and impact loading using innovative geotechnical testing devices. A constitutive model for ballast incorporating particle breakage is presented representing a more realistic stress–strain response. The mathematical formulations and numerical models are validated using controlled experimental simulations and fully instrumented field trials. Revised ballast gradation is described to provide greater track resiliency and extended longevity. The book also provides a detailed description of geosynthetics for substructure improvement considering track deterioration caused by particle degradation, fouling, and impeded drainage. New to this second edition are extensive discussions on subgrade soil stabilisation, causes and mechanisms of soil fluidisation (mud pumping) under cyclic loading, and preventive and remedial measures to alleviate undue instability of ballast tracks. This book should prove most beneficial for final-year civil engineering students and for postgraduate teaching and learning. It is an ideal supplement for practising railway engineers and researchers engaged in the challenging tasks of future track design for heavier and faster trains.

Theoretical Numerical Analysis

Theoretical Numerical Analysis
Author: Peter Linz
Publisher: Courier Dover Publications
Total Pages: 242
Release: 2019-06-12
Genre: Mathematics
ISBN: 0486833615

This concise text introduces numerical analysis as a practical, problem-solving discipline. The three-part presentation begins with the fundamentals of functional analysis and approximation theory. Part II outlines the major results of theoretical numerical analysis, reviewing product integration, approximate expansion methods, the minimization of functions, and related topics. Part III considers specific subjects that illustrate the power and usefulness of theoretical analysis. Ideal as a text for a one-year graduate course, the book also offers engineers and scientists experienced in numerical computing a simple introduction to the major ideas of modern numerical analysis. Some practical experience with computational mathematics and the ability to relate this experience to new concepts is assumed. Otherwise, no background beyond advanced calculus is presupposed. Moreover, the ideas of functional analysis used throughout the text are introduced and developed only to the extent they are needed.

Fundamentals of Engineering Numerical Analysis

Fundamentals of Engineering Numerical Analysis
Author: Parviz Moin
Publisher: Cambridge University Press
Total Pages: 257
Release: 2010-08-23
Genre: Technology & Engineering
ISBN: 1139489550

Since the original publication of this book, available computer power has increased greatly. Today, scientific computing is playing an ever more prominent role as a tool in scientific discovery and engineering analysis. In this second edition, the key addition is an introduction to the finite element method. This is a widely used technique for solving partial differential equations (PDEs) in complex domains. This text introduces numerical methods and shows how to develop, analyse, and use them. Complete MATLAB programs for all the worked examples are now available at www.cambridge.org/Moin, and more than 30 exercises have been added. This thorough and practical book is intended as a first course in numerical analysis, primarily for new graduate students in engineering and physical science. Along with mastering the fundamentals of numerical methods, students will learn to write their own computer programs using standard numerical methods.

Numerical Methods for Two-Point Boundary-Value Problems

Numerical Methods for Two-Point Boundary-Value Problems
Author: Herbert B. Keller
Publisher: Courier Dover Publications
Total Pages: 417
Release: 2018-11-14
Genre: Mathematics
ISBN: 0486828344

Elementary yet rigorous, this concise treatment is directed toward students with a knowledge of advanced calculus, basic numerical analysis, and some background in ordinary differential equations and linear algebra. 1968 edition.

Python Programming and Numerical Methods

Python Programming and Numerical Methods
Author: Qingkai Kong
Publisher: Academic Press
Total Pages: 482
Release: 2020-11-27
Genre: Technology & Engineering
ISBN: 0128195509

Python Programming and Numerical Methods: A Guide for Engineers and Scientists introduces programming tools and numerical methods to engineering and science students, with the goal of helping the students to develop good computational problem-solving techniques through the use of numerical methods and the Python programming language. Part One introduces fundamental programming concepts, using simple examples to put new concepts quickly into practice. Part Two covers the fundamentals of algorithms and numerical analysis at a level that allows students to quickly apply results in practical settings. Includes tips, warnings and "try this" features within each chapter to help the reader develop good programming practice Summaries at the end of each chapter allow for quick access to important information Includes code in Jupyter notebook format that can be directly run online

Geotechnics for Sustainable Infrastructure Development

Geotechnics for Sustainable Infrastructure Development
Author: Phung Duc Long
Publisher: Springer Nature
Total Pages: 1417
Release: 2019-11-28
Genre: Science
ISBN: 9811521840

This book presents 09 keynote and invited lectures and 177 technical papers from the 4th International Conference on Geotechnics for Sustainable Infrastructure Development, held on 28-29 Nov 2019 in Hanoi, Vietnam. The papers come from 35 countries of the five different continents, and are grouped in six conference themes: 1) Deep Foundations; 2) Tunnelling and Underground Spaces; 3) Ground Improvement; 4) Landslide and Erosion; 5) Geotechnical Modelling and Monitoring; and 6) Coastal Foundation Engineering. The keynote lectures are devoted by Prof. Harry Poulos (Australia), Prof. Adam Bezuijen (Belgium), Prof. Delwyn Fredlund (Canada), Prof. Lidija Zdravkovic (UK), Prof. Masaki Kitazume (Japan), and Prof. Mark Randolph (Australia). Four invited lectures are given by Prof. Charles Ng, ISSMGE President, Prof.Eun Chul Shin, ISSMGE Vice-President for Asia, Prof. Norikazu Shimizu (Japan), and Dr.Kenji Mori (Japan).