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1945 results in Engineering mathematics and programming

Page 12 of 98

Introduction to the Finite Element Method and Implementation with MATLAB®
  • Gang Li
  • Published online:
    09 December 2020
    Print publication:
    30 July 2020
  • Connecting theory with numerical techniques using MATLAB®, this practical textbook equips students with the tools required to solve finite element problems. This hands-on guide covers a wide range of engineering problems through nine well-structured chapters including solid mechanics, heat transfer and fluid dynamics; equilibrium, steady state and transient; and 1-D, 2-D and 3-D problems. Engineering problems are discussed using case study examples, which are solved using a systematic approach, both by examining the steps manually and by implementing a complete MATLAB®code. This topical coverage is supplemented by discourse on meshing with a detailed explanation and implementation of 2-D meshing algorithms. Introducing theory and numerical techniques alongside comprehensive examples this text increases engagement and provides students with the confidence needed to implement their own computer codes to solve given problems.

Competitive Programming in Python
  • 128 Algorithms to Develop your Coding Skills
  • Christoph Dürr, Jill-Jênn Vie
  • Translated by Greg Gibbons, Danièle Gibbons
  • Published online:
    03 December 2020
    Print publication:
    17 December 2020
  • Want to kill it at your job interview in the tech industry? Want to win that coding competition? Learn all the algorithmic techniques and programming skills you need from two experienced coaches, problem setters, and jurors for coding competitions. The authors highlight the versatility of each algorithm by considering a variety of problems and show how to implement algorithms in simple and efficient code. Readers can expect to master 128 algorithms in Python and discover the right way to tackle a problem and quickly implement a solution of low complexity. Classic problems like Dijkstra's shortest path algorithm and Knuth-Morris-Pratt's string matching algorithm are featured alongside lesser known data structures like Fenwick trees and Knuth's dancing links. The book provides a framework to tackle algorithmic problem solving, including: Definition, Complexity, Applications, Algorithm, Key Information, Implementation, Variants, In Practice, and Problems. Python code included in the book and on the companion website.

Finite Elements for Engineers with Ansys Applications
  • Mohamed S. Gadala
  • Published online:
    13 September 2020
    Print publication:
    09 July 2020
  • The finite element method (FEM) is indispensable in modeling and simulation in various engineering and physical systems, including structural analysis, stress, strain, fluid mechanics, heat transfer, dynamics, eigenproblems, design optimization, sound propagation, electromagnetics, and coupled field problems. This textbook integrates basic theory with real-life, design-oriented problems using ANSYS, the most commonly used computational software in the field. For students as well as practicing engineers and designers, each chapter is highly illustrated and presented in a step-by-step manner. Fundamental concepts are presented in detail with reference to easy to understand worked examples that clearly introduce the method before progressing to more advanced content. Included are step-by-step solutions for project type problems using modelling software, special chapters for modelling and the use of ANSYS and Workbench programs, and extensive sets of problems and projects round out each chapter.

  • 3 - Numerical Analysis Methods

  • Gang Li, Clemson University, South Carolina
  • Book:
    Introduction to the Finite Element Method and Implementation with MATLAB®
    Published online:
    09 December 2020
    Print publication:
    30 July 2020, pp 52-83

  • Summary

    In this chapter, we discuss several topics of numerical analysis. The topics include numerical interpolation, differentiation, integration, and solution of linear systems of equations. These numerical techniques are essential in the finite element method. MATLAB functions and subroutines performing these numerical calculations in the implementation of FE codes for engineering analysis are presented. While numerical analysis is a broad area, this chapter focuses on the methods and techniques that are used in the development and solution of finite element formulations and models. It should be noted that, while MATLAB has many built-in functions for performing numerical analysis tasks, this book is intended to reveal the underlying theories and techniques of the numerical methods. Therefore, we explain various numerical methods from the basics and create the MATLAB functions from scratch.

Page 12 of 98