Advances In Numerical Methods And Applications

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Advanced Numerical Methods For Differential Equations

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Author : Harendra Singh
language : en
Publisher: CRC Press
Release Date : 2021-07-29

Advanced Numerical Methods For Differential Equations written by Harendra Singh and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-29 with Technology & Engineering categories.

Mathematical models are used to convert real-life problems using mathematical concepts and language. These models are governed by differential equations whose solutions make it easy to understand real-life problems and can be applied to engineering and science disciplines. This book presents numerical methods for solving various mathematical models. This book offers real-life applications, includes research problems on numerical treatment, and shows how to develop the numerical methods for solving problems. The book also covers theory and applications in engineering and science. Engineers, mathematicians, scientists, and researchers working on real-life mathematical problems will find this book useful.

Numerical Methods

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Author : Rajesh Kumar Gupta
language : en
Publisher: Cambridge University Press
Release Date : 2019-05-09

Numerical Methods written by Rajesh Kumar Gupta and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-09 with Mathematics categories.

Offers a comprehensive textbook for a course in numerical methods, numerical analysis and numerical techniques for undergraduate engineering students.

Advanced Applications Of Computational Mathematics

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Author : Akshay Kumar
language : en
Publisher:
Release Date : 2024-10-21

Advanced Applications Of Computational Mathematics written by Akshay Kumar and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-21 with Mathematics categories.

This book "Advanced Applications of Computational Mathematics" covers multidisciplinary studies containing advanced research in the field of computational and applied mathematics. The book includes research methodology, techniques, applications, and algorithms. The book will be very useful to advanced students, researchers and practitioners who are involved in the areas of computational and applied mathematics and engineering.

Numerical Analysis With Applications In Mechanics And Engineering

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Author : Petre Teodorescu
language : en
Publisher: John Wiley & Sons
Release Date : 2013-06-04

Numerical Analysis With Applications In Mechanics And Engineering written by Petre Teodorescu and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-04 with Computers categories.

NUMERICAL ANALYSIS WITH APPLICATIONS IN MECHANICS AND ENGINEERING 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.

Numerical Methods And Advanced Simulation In Biomechanics And Biological Processes

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Author : Miguel Cerrolaza
language : en
Publisher: Academic Press
Release Date : 2017-12-28

Numerical Methods And Advanced Simulation In Biomechanics And Biological Processes written by Miguel Cerrolaza and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-28 with Technology & Engineering categories.

Numerical Methods and Advanced Simulation in Biomechanics and Biological Processes covers new and exciting modeling methods to help bioengineers tackle problems for which the Finite Element Method is not appropriate. The book covers a wide range of important subjects in the field of numerical methods applied to biomechanics, including bone biomechanics, tissue and cell mechanics, 3D printing, computer assisted surgery and fluid dynamics. Modeling strategies, technology and approaches are continuously evolving as the knowledge of biological processes increases. Both theory and applications are covered, making this an ideal book for researchers, students and R&D professionals. - Provides non-conventional analysis methods for modeling - Covers the Discrete Element Method (DEM), Particle Methods (PM), MessLess and MeshFree Methods (MLMF), Agent-Based Methods (ABM), Lattice-Boltzmann Methods (LBM) and Boundary Integral Methods (BIM) - Includes contributions from several world renowned experts in their fields - Compares pros and cons of each method to help you decide which method is most applicable to solving specific problems

Advanced Numerical Methods For Differential Equations

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Author : Harendra Singh
language : en
Publisher: CRC Press
Release Date : 2021-06-25

Advanced Numerical Methods For Differential Equations written by Harendra Singh and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-25 with Mathematics categories.

Mathematical models are used to convert real-life problems using mathematical concepts and language. These models are governed by differential equations whose solutions make it easy to understand real-life problems and can be applied to engineering and science disciplines. This book presents numerical methods for solving various mathematical models. This book offers real-life applications, includes research problems on numerical treatment, and shows how to develop the numerical methods for solving problems. The book also covers theory and applications in engineering and science. Engineers, mathematicians, scientists, and researchers working on real-life mathematical problems will find this book useful.

Advanced Numerical Applications And Plasticity In Geomechanics

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Author : Vaughan D. Griffiths
language : en
Publisher: Springer
Release Date : 2014-05-04

Advanced Numerical Applications And Plasticity In Geomechanics written by Vaughan D. Griffiths and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-04 with Technology & Engineering categories.

Numerical application of Plasticity to Geomechanics is an area of research that has grown rapidly since its origins in the late 1960s. This growth led to new methodologies and analysis approaches that are nowadays commonly employed in Geotechnical Engineering practice. Through the contribution of well-known scholars this book intends to provide an updated overview of some relevant developments and applications in this field. The topics covered in the various chapters of the volume can be summarised as follows: constitutive models for geomaterials, "damage|” soil mechanics, non-linear consolidation, swelling soils, influence of the statistical variability of soil properties on the stability of slopes and foundations, numerical analysis of ground improvement techniques, tunneling problems.

Advanced Numerical Methods In Applied Sciences

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Author : Luigi Brugnano
language : en
Publisher: MDPI
Release Date : 2019-06-20

Advanced Numerical Methods In Applied Sciences written by Luigi Brugnano and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-20 with Juvenile Nonfiction categories.

The use of scientific computing tools is currently customary for solving problems at several complexity levels in Applied Sciences. The great need for reliable software in the scientific community conveys a continuous stimulus to develop new and better performing numerical methods that are able to grasp the particular features of the problem at hand. This has been the case for many different settings of numerical analysis, and this Special Issue aims at covering some important developments in various areas of application.

Advanced Numerical Methods For Complex Environmental Models Needs And Availability

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Author : István Faragó
language : en
Publisher: Bentham Science Publishers
Release Date : 2013-12-10

Advanced Numerical Methods For Complex Environmental Models Needs And Availability written by István Faragó and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-10 with Nature categories.

High air pollution levels pose a significant threat to plants, animals and human beings. Efforts by researchers are directed towards keeping air pollution levels below well defined ‘critical‘ levels in order to maintain a sustainable atmosphere and environmental system. The application of advanced mathematical models is important for researchers to achieve this goal as efficiently as possible. Mathematical models can be used to predict answers to many important questions about the environment. This application comes with several complex theoretical and practical obstacles which need to be resolved. A successfully applicable mathematical model needs to enable researchers to • Mathematically describe all important physical and chemical processes. • Apply fast and sufficiently accurate numerical methods. • Ensure that the model runs efficiently on modern high speed computers. • Use high quality input data, both meteorological data and emission inventories, in the runs. • Verify the model results by comparing them with reliable measurements taken in different parts of the spatial domain of the model. • Carry out long series of sensitivity experiments to check the response of the model to changes of different key parameters. • Visualize and animate the output results in order to make them easily understandable even to non-specialists. This monograph thoroughly describes mathematical methods useful for various situations in environmental modeling - including finite difference methods, splitting methods, parallel computation, etc. - and provides a framework for resolving problems posed in relation to the points listed above. Chapters are written by well-known specialists making this book a handy reference for researchers, university teachers and students working and studying in the areas of air pollution, meteorology, applied mathematics and computer science.

Advanced Numerical Methods With Matlab 2

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Author : Bouchaib Radi
language : en
Publisher: John Wiley & Sons
Release Date : 2018-07-31

Advanced Numerical Methods With Matlab 2 written by Bouchaib Radi and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-31 with Mathematics categories.

The purpose of this book is to introduce and study numerical methods basic and advanced ones for scientific computing. This last refers to the implementation of appropriate approaches to the treatment of a scientific problem arising from physics (meteorology, pollution, etc.) or of engineering (mechanics of structures, mechanics of fluids, treatment signal, etc.). Each chapter of this book recalls the essence of the different methods resolution and presents several applications in the field of engineering as well as programs developed under Matlab software.