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Daffodil Internatioal University
Name :
Omar Sharif
Designation :
Lecturer
Department
Department of Natural Sciences
Faculty
Faculty of Science and Information Technology
E-mail
omarsharif.ns@diu.edu.bd
Application of Numerical Methods AND MY
ACHIVEMENT
What is Numerical Method ?
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."
Types of Numerical Methods
 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
Applications
 Usually used in 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
Numerical Method in
CRIME DETECTION
:
Maths and crime: Deblurring a
number plate
A short crime story
• Rana robs a bank
• Escapes in a getaway car
• Pursued by police
SOLUTION
 Find a model 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
)()()(

2/)/( 222
dxgdexhdeef xixiyi



Inversion formula
h(x) f(x)
An example of Image
Processing
Scientific computing
 Design and 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
What computers can’t do
 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.
MY ACHIVEMENT
Championships
TROPHY 2011
 When I was 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
I was attend a 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
Numerical methods
Numerical methods
Numerical methods

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Numerical methods

  • 2. Name : Omar Sharif Designation : Lecturer Department Department of Natural Sciences Faculty Faculty of Science and Information Technology E-mail omarsharif.ns@diu.edu.bd
  • 3. Application of Numerical Methods AND MY ACHIVEMENT
  • 4. What is Numerical Method ? 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 Numerical Methods  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 used in 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
  • 8. 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 a model 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 )()()(
  • 10.  2/)/( 222 dxgdexhdeef xixiyi    Inversion formula h(x) f(x) An example of Image Processing
  • 11. Scientific computing  Design and 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’t do  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.
  • 15.  When I was 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
  • 16.
  • 17. I was attend a 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

Hinweis der Redaktion

  1. George Mason University, Department of Mathematical Sciences