##### Document information

Uploaded by:
pankarithi

Views: 532

Downloads :
0

University:
Ankit Institute of Technology and Science

Subject:
Numerical Methods

Tags:
Trapezoidal Rule of Integration,
Process of Measuring Area,
Lower Limit of Integration,
Basis of Trapezoidal Rule,
Newton-Cotes Formula,
Linear Polynomial,
Derivation of Trapezoidal Rule,
Area of Trapezoid

Upload date:
17/04/2013

### Related Notes

Trapezoidal Rule of Integration - Numerical Methods - Lecture Slides

The main points are: Trapezoidal Rule of Integration, Process of Measuring Area, Lower Limit of Integration, Basis of Trapezoidal Rule, Newton-Cotes Formula, Linear Polynomial, Derivation of Trapezoidal Rule, Area of Trapezoid

Romberg Rule of Integration - Numerical Methods - Lecture Slides

The main points are: Romberg Rule of Integration, Basis of Romberg Rule, Process of Measuring Area, Limit of Integration, Extrapolation Formula, Romberg Integration, Trapezoidal Rule, True Error, Error in Multiple Segment

Simpson’s Rule of Integration - Numerical Methods - Lecture Slides

The main points are: Simpson’s Rule of Integration, Limit of Integration, Process of Measuring Area, Basis of Simpson’s Rule, Second Order Polynomial, Trapezoidal Rule, Interval of Integration, Three Points of Function

Numerical Differentiation and Integration - Numerical Methods - Lecture Slides

The main points are: Numerical Differentiation and Integration, Mathematics of Change, Making Calculus, Mathematical Concepts, Independent Variable, Dependent Variable, Inverse Process, Definition of Integrate, Mathematical Background

Sources of Error - Numerical Methods - Lecture Slides

The main points are: Sources of Error, Sources of Numerical Error, Round Off Error, Truncation Error, Problems Created, Patriot Defense System, Problem with Patriot Missile, Ranging System of Missile, Significant Digits

Roots of Equations - Numerical Methods - Lecture Slides

The main points are: Roots of Equations, Quadratic Formula, Algebraic Function, Lacks Precision, Trial and Error, Overview of Methods, Bracketing Methods, Open Methods, One Point Iteration, Secant Method, Bisection Method

Propagation of Errors - Numerical Methods - Lecture Slides

The main points are: Propagation of Errors, Numerical Methods, Maximum Possible Value, Errors in Formulas, Axial Member, Formula for Error Propagation, Subtraction of Numbers, Objective Function, Vector Operator, Initial Guess of Root

Direct Method of Interpolation - Numerical Methods - Lecture Slides

Main points are: Direct Method of Interpolation, Interpolation of Discrete, Polynomial of Order, Data Points, Linear Interpolation, Upward Velocity, Function of Time, Quadratic Interpolation, Relative Approximate Error

Gauss Quadrature Rule - Numerical Methods - Lecture Slides

Main points are: Gauss Quadrature Rule, Rule of Integration, Process of Measuring Area, Limit of Integration, Two-Point Gaussian Quadrature Rule, Trapezoidal Rule, Undetermined Coefficients, Third Order Polynomial

Optimization - Numerical Methods - Lecture Slides

The main points are: Optimization, Determining Root, Determine Optima, Solving Root Problem, Finite Difference Approximation, Examples of Optimization Problems, Design Structures, Inventory Control, Design Pump