The document discusses Omar Sharif, a lecturer in the Department of Natural Sciences at Daffodil International University. It provides an overview of numerical methods, listing several types of numerical methods such as the bisection method, Newton-Raphson method, and Gauss-Seidel method. It also discusses applications of numerical methods in areas like computer science, business, engineering, and crime detection. Specifically, it describes how numerical methods can be used to deblur images, such as identifying a blurred license plate from a surveillance camera to solve a bank robbery case. Finally, it discusses Omar Sharif's achievement in winning a badminton championship trophy in 2011 during his school holiday after SSC exams.
Name :
Omar Sharif
Designation:
Lecturer
Department
Department of Natural Sciences
Faculty
Faculty of Science and Information Technology
E-mail
omarsharif.ns@diu.edu.bd
What is NumericalMethod ?
A numerical method is a complete and definite set of
procedures for the solution of a problem, together with
computable error estimates. The study and
implementation of such methods is the province
of numerical analysis. "numerical methods."
5.
Types of NumericalMethods
1 .Bisection method
2. Newton Rapshon method (Newton’s Iteration
method)
3. Iteration method
4. Newton’s forward interpolation formula
5. Newton’s backward interpolation formula
6. Gauss Seidel Method
7. CURVE FITTING
6.
Applications
Usually usedin computer science for root algorithm.
It is used to determine profit and loss in the company.
Used for Multidimensional root finding.
Solving practical technical problems using scientific and
mathematical tools
Network Simulation
Train and Traffic signal
Weather prediction
Build up a algorithm
Maths and crime:Deblurring a
number plate
A short crime story
• Rana robs a bank
• Escapes in a getaway car
• Pursued by police
9.
SOLUTION
Find amodel of the blurring process
Blurring function g
Original image
f
• Blurring formula
• Inverting the formula we can get rid the blur
• BUT need to know the blurring function g
ydygyxfxh 2
)()()(
Scientific computing
Designand analysis of algorithms for
numerically solving mathematical problems in
science and engineering
Considers the effect of approximations and
performs error analysis
modern simulations of engineering
applications
12.
What computers can’tdo
Solve (by reasoning) general mathematical
problems they can only repetitively apply
arithmetic primitives to input.
Solve problems exactly.
Represent all numbers. Only a finite subset of the
numbers between 0 and 1 can be represented.
When Iwas in class 10, My journey was started.There are different types of
game like Cricket, Football, Badminton, Basketball, Tenish etc.But I like
Badminton .Mainly I love it coz it can play at night and early morning,It has
a good side if anyone want to play this game in morning.He or She should
get up early.it’s like phusical execise.
So for those reson I love this game
17.
I was attenda competition of Badminton in 2011.After my SSC exam. I got 2 month holiday.In that time Ihave no work
and Read.So I Attend many badminton Tunament. Iremember a sorey ,it was the 7 tunament of badminton, and we win
the chaimpian Champagne Trophy and we all join a picnic party where me and partner beer no money
2011
Editor's Notes
#12 George Mason University, Department of Mathematical Sciences