Opis: Introduction to Computational Modeling Using C and Open-Source Tools - Jose Garrido

Introduction to Computational Modeling Using C and Open-Source Tools presents the fundamental principles of computational models from a computer science perspective. It explains how to implement these models using the C programming language. The software tools used in the book include the Gnu Scientific Library (GSL), which is a free software library of C functions, and the versatile, open-source GnuPlot for visualizing the data. All source files, shell scripts, and additional notes are located at science.kennesaw.edu/~jgarrido/comp_models The book first presents an overview of problem solving and the introductory concepts, principles, and development of computational models before covering the programming principles of the C programming language. The author then applies programming principles and basic numerical techniques, such as polynomial evaluation, regression, and other numerical methods, to implement computational models. He also discusses more advanced concepts needed for modeling dynamical systems and explains how to generate numerical solutions. The book concludes with the modeling of linear optimization problems. Emphasizing analytical skill development and problem solving, this book helps you understand how to reason about and conceptualize the problems, generate mathematical formulations, and computationally visualize and solve the problems. It provides you with the foundation to understand more advanced scientific computing, including parallel computing using MPI, grid computing, and other techniques in high-performance computing.Problem Solving and Computing Introduction Computer Problem Solving Elementary Concepts Developing Computational Models A Simple Problem: Temperature Conversion Categories of Computational Models Computing the Area and Circumference of a Circle General Process of Software Development Programming Languages Programs Introduction Programs Data Definitions Structure of a C Program Instructions Simple Functions A Simple C Program A Simple Problem: Temperature Conversion Modular Decomposition: Functions Introduction Modular Decomposition Defining Functions Calling Functions Classification of Functions Numerical Types Built-in Mathematical Functions More Concepts of Computational Models Introduction Introduction to Errors in Computing Average and Instantaneous Rate of Change The Free-Falling Object Simulation: Basic Concepts Algorithms and Programs Introduction Problem Solving Algorithms Algorithm Description Design Structures Implementing Algorithms Computing Area and Circumference Selection Introduction Selection Structure A Computational Model with Selection Multi-Level Selection Complex Conditions Repetition Introduction Repetition with the While Loop Repeat-Until Loop For Loop Structure Arrays Introduction Declaring an Array Operations on Arrays Arrays as Arguments A Simple Application with Arrays Arithmetic Operations with Vectors Multi-Dimensional Arrays Applications Using Arrays Pointers Introduction Pointer Fundamentals Pointers with C Dereferencing Converting Pointer Types Reference Parameters Pointers with Value NULL Arrays as Pointers Complex Data Structures Defining Type Names Enumerated Types Linked Lists Introduction Nodes and Linked List Linked List with Two Ends Double-Linked Lists Higher-Level Data Structures Text Data Introduction C Strings String Input and Output String Operations Using the String Functions Computational Models with Arithmetic Growth Introduction Mathematical Modeling Models with Arithmetic Growth Using the C Programming Language Producing the Charts of the Model Validation of a Model Computational Models with Quadratic Growth Introduction Differences of the Data Difference Equations Functional Equations Examples of Quadratic Models Models with Geometric Growth Introduction Basic Concepts Functional Equations Computational Models with Polynomials Introduction General Forms of Polynomial Functions GNU Scientific Library Evaluation of Polynomial Functions Solving Polynomial Equations Models with Interpolation and Curve Fitting Introduction Interpolation Curve Fitting Using Vectors with the GSL Introduction Vectors and Operations Vector Properties and Characteristics Implementation of Vectors in C and the GSL Simple Vector Operations Matrices and Sets of Linear Equations Introduction Matrices Simple Matrix Operations Solving Systems of Linear Equations Introduction to Dynamical Systems Introduction Continuous and Discrete Models Derivative of a Function Numerical Integration Differential Equations Dynamical Systems and Models Formulating Simple Examples Solution of Differential Equations Linear Optimization Modeling Introduction Formulation of Problems Solving Linear Optimization Problems Introduction General Form Foundations of the Algorithm The Simplex Algorithm Software Implementations Sensitivity Analysis and Duality Introduction Sensitivity Analysis Duality Transportation Models Introduction Model of a Transportation Problem Transportation Case Studies Transshipment Models Assignment Problems Network Models Introduction Graphs Shortest Path Problem Shortest Path Problem: Case Study 1 Maximum Flow Problems Critical Path Method Integer Linear Optimization Models Introduction Modeling with Integer Variables Applications of Integer Linear Optimization Integer Linear Optimization: Case Study 1 Integer Linear Optimization: Case Study 2 Appendix A: GNU C Compiler Tool Appendix B: Introduction to Linux A Summary and Exercises appear at the end of each chapter.

Szczegóły: Introduction to Computational Modeling Using C and Open-Source Tools - Jose Garrido

Tytuł: Introduction to Computational Modeling Using C and Open-Source Tools
Autor: Jose Garrido
Producent: CRC Press Inc.
ISBN: 9781482216783
Rok produkcji: 2013
Ilość stron: 461
Oprawa: Twarda
Waga: 0.79 kg

Recenzje: Introduction to Computational Modeling Using C and Open-Source Tools - Jose Garrido