Math-254 Numerical Methods.

Slides:

Advertisements

Similar presentations

A History of Numerical Analysis Ideas Alan Kaylor Cline Department of Computer Sciences The University of Texas at Austin Prepared for CS 378 History of.

Advertisements

Dr. Mubashir Alam King Saud University. Course Information Course Instructors: Dr. Mubashir Alam Contact Information: Office: 2C-98 Phone:

MATH 331: Partial Differential Equations Spring 2015.

Dr. Jie Zou PHY Chapter 9 Ordinary Differential Equations: Initial-Value Problems Lecture (I) 1 1 Besides the main textbook, also see Ref.: “Applied.

1 Course Information Parallel Computing Fall 2008.

1 Course Information Parallel Computing Spring 2010.

ECIV 301 Programming & Graphics Numerical Methods for Engineers.

CS2420: Lecture 1 Vladimir Kulyukin Computer Science Department Utah State University.

Chapter 1 Introduction The solutions of engineering problems can be obtained using analytical methods or numerical methods. Analytical differentiation.

Dr. Jie Zou PHY Chapter 3 Solution of Simultaneous Linear Algebraic Equations: Lecture (II) Note: Besides the main textbook, also see Ref: Applied.

MATH 330: Ordinary Differential Equations Fall 2014.

CISE-301: Numerical Methods Topic 1: Introduction to Numerical Methods and Taylor Series Lectures 1-4: KFUPM.

8/8/ Euler Method Major: All Engineering Majors Authors: Autar Kaw, Charlie Barker

University of Colorado - Dept of Aerospace Engineering Sciences - Introduction to FEM This is ASEN 5007: Introduction to Finite Element Methods.

Introduction to Differential Equations

Welcome to ME 130 Applied Engineering Analysis Class

MECN 3500 Inter - Bayamon Lecture Numerical Methods for Engineering MECN 3500 Professor: Dr. Omar E. Meza Castillo

CSCI 1301 Principles of Computer Science I

Numerical Computation Lecture 0: Course Introduction Dr. Weifeng SU United International College Autumn 2010.

CISE-301: Numerical Methods Topic 1: Introduction to Numerical Methods and Taylor Series Lectures 1-4: KFUPM CISE301_Topic1.

CISE301_Topic11 CISE-301: Numerical Methods Topic 1: Introduction to Numerical Methods and Taylor Series Lectures 1-4:

EE 3561_Unit_1(c)Al-Dhaifallah EE 3561 : - Computational Methods in Electrical Engineering Unit 1: Introduction to Computational Methods and Taylor.

Course Introduction Software Engineering

CSE 541 Rick Parent ELEMENTARY NUMERICAL METHODS Winter 2012.

MECN 3500 Lecture 4 Numerical Methods for Engineering MECN 3500 Professor: Dr. Omar E. Meza Castillo

Applied Numerical Method for Engineers and Scientists

MCS 355 Scientific Computing Day 1: Course Introduction Gustavus Adolphus College Spring 2012.

CSE 3802 / ECE 3431 Numerical Methods in Scientific Computation

11/16/ Euler Method Electrical Engineering Majors Authors: Autar Kaw, Charlie Barker

King Saud UniversityCSC112 - First Semester CSC 112 Java Programming I Introduction.

Chapter 21 Exact Differential Equation Chapter 2 Exact Differential Equation.

The Islamic University of Gaza Faculty of Engineering Civil Engineering Department Numerical Analysis ECIV 3306 Introduction Course Outline.

Fozia Tauqeer Assistant Professor Computer science Department.

MECN 3500 Inter - Bayamon Lecture 6 Numerical Methods for Engineering MECN 3500 Professor: Dr. Omar E. Meza Castillo

BE207 Numerical Analysis using Matlab Lecturer DR Abdullah Awad Faculty of Engineering.

Software Systems Engineering Rob Oshana Southern Methodist University EMIS 7312.

1/16/ Runge 4 th Order Method Civil Engineering Majors Authors: Autar Kaw, Charlie Barker

1/19/ Runge 4 th Order Method Major: All Engineering Majors Authors: Autar Kaw, Charlie Barker

MTH 204 NUMERICAL ANALYSIS Spring Term MTH 204 NUMERICAL ANALYSIS Spring Term DEPARTMENT of INFORMATION TECHNOLOGIES Assoc. Prof. Dr.

Objectives Understand the fundamental concept of numerical method Know the significances and impacts of applying numerical method to practical problems.

MTH Spring Term NUMERICAL ANALYSIS Spring Term MTH Spring Term NUMERICAL ANALYSIS Spring Term INTERNATIONAL.

Operations Research Models and Methods Advanced Operations Research Reference: Operations Research Models and Methods, Operations Research Models and Methods,

Numerical Methods for Computer Engineering ( ) Assoc. Prof. Mitchai Chongcheawchamnan.

Lectures' Notes STAT –324 Probability Probability and Statistics for Engineers First Semester 1431/1432 and 5735 Teacher: Dr. Abdel-Hamid El-Zaid Department.

HUT – DEPARTMENT OF MATH. APPLIED MATH 1 FUNCTION.

Welcome to ME 130 Applied Engineering Analysis Class Fall 2016 Instructor: Tai-Ran Hsu Professor Department of Mechanical Engineering San Jose State University.

S5.40. Module Structure 30% practical tests / 70% written exam 3h lectures / week (except reading week) 3 x 2h of computer labs (solving problems practicing.

APPLIED MANAGEMENT SCIENCE IN AGRICULTURAL SYSTEMS I

244-1: INTRODUCTION TO PROGRAMMING

Civil Engineering Majors Authors: Autar Kaw, Charlie Barker

Welcome to Computers in Civil Engineering 53:081 Spring 2003

MATH/COMP 340: Numerical Analysis I

Syllabus Introduction to Computer Science

Computer Engineering Majors Authors: Autar Kaw, Charlie Barker

Math-254 Numerical Methods.

Advanced Engineering Mathematics, Third Edition

525602:Advanced Numerical Methods for ME

Civil Engineering Majors Authors: Autar Kaw, Charlie Barker

Mechanical Engineering Majors Authors: Autar Kaw, Charlie Barker

Chemical Engineering Majors Authors: Autar Kaw, Charlie Barker

MATH 2140 Numerical Methods

CEN340 Signals and Systems

MATH My research interests lie primarily in the area of numerical analysis and scientific computing, …

Civil Engineering Majors Authors: Autar Kaw, Charlie Barker

Applied Numerical Methods

MATH My research interests lie primarily in the area of numerical analysis and scientific computing, …

ICS201 Introduction To Computing II

Electrical Engineering Majors Authors: Autar Kaw, Charlie Barker

Object Oriented Programming Course Introduction

Chemical Engineering Majors Authors: Autar Kaw, Charlie Barker

Presentation transcript:

Math-254 Numerical Methods

Recommended Textbook: Introduction To Numerical Analysis Using MATLAB Author: Dr. Rizwan Butt Department of Mathematics College of Science King Saud University P. O. Box 2455 Riyadh, 11451, Saudi Arabia. E-mail: rizwanbu@ksu.edu.sa Publisher: Infinity Science Press (USA) ISBN: 978-1-934015-23-0 Year of Published: October, 2007 Reference Textbook: Numerical Analysis (Seventh Edition) Authors: Richard L. Burden and J. Douglas Faires

Examinations Schedule: Two midterm examinations and the final examination First Midterm Examination 20 marks After six weeks Second Midterm Examination 20 marks After thirteen weeks Final Examination 50 marks After fifteen weeks About 10 marks: 1- Computer Assignments 4 marks 2- Two Quizzes 4 marks 3- Exercises 2 marks

Topics for the Course Chapter 1 Number Systems and Error (1 lecture) Chapter 2 Solutions of Nonlinear Equations (13 lectures) Chapter 3 Systems of Linear Equations (13 lectures) Chapter 4 Approximating Functions (7 lectures) Chapter 5 Differentiation and Integration (7 lectures) Chapter 6 Ordinary Differential Equations (4 lectures)

Means of Solving Problems Analytical Methods Graphical Methods Numerical Methods Exact Solution Approximate Solution

What is Numerical Analysis ? 1- Numerical analysis can be defined as the development and implementation of techniques to find numerical solutions to mathematical problems. 2- It is an increasingly important link between pure mathematics and its application in science and technology. 3- With the accessibility of computers, it is possible now to get rapid and accurate solutions to many complex problems that give difficulties to the mathematician, engineer and scientist. 4. Frequently, numerical analysis is called the mathematics of scientific computing.

Types of Numerical Methods Direct Methods Iterative Methods Need finite number of steps. No need for initial approximation. Good for small problems. Chance of getting exact information about problems. Need infinite number of steps. Need for initial approximation. Good for large problems. No chance of getting exact information about problems.

Practical Justification Through MATLAB 1- In our lectures, practical justification of the methods is presented through computer examples through the use of MATLAB. 2- In recent years, the number of MATLAB users has dramatically increased. 3- The surge of popularity in MATLAB is related to the increasing popularity of UNIX and computer graphics. 4- To what extend numerical computations in the future will be programmed in MATLAB is uncertain.