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ESO 208A: Computational Methods in Engineering Lecture 1

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(1)

Abhas Singh

Department of Civil Engineering IIT Kanpur

Acknowledgements: Profs. Saumyen Guha and Shivam Tripathi (CE)

ESO 208A: Computational Methods in Engineering

Numerical Differentiation

(2)

Numerical Differentiation

 

(3)

Numerical Differentiation: Finite Difference

 

(4)

Numerical Differentiation: Finite Difference

 

(5)

Numerical Differentiation: Finite Difference

 

(6)

Numerical Differentiation: Finite Difference

 

(7)
(8)
(9)

Numerical Differentiation: Finite Difference

 

(10)

Numerical Differentiation: Finite Difference

 

(11)

Numerical Differentiation: Finite Difference

 

(12)

Numerical Differentiation: Truncation Error Analysis

 

(13)

Numerical Differentiation: Truncation Error Analysis

 

(14)

Numerical Differentiation: Truncation Error Analysis

 

(15)

Numerical Differentiation: Truncation Error Analysis

 

(16)

Numerical Differentiation: Truncation Error Analysis

 

(17)

Numerical Differentiation: Finite Difference

 

(18)

Modified Wave Number Analysis: Periodic Functions

 

(19)

Modified Wave Number Analysis: Periodic Functions

 

(20)

Amplitude Error and Phase Error Analysis:

Periodic Functions

 

(21)

Amplitude Error and Phase Error Analysis:

Periodic Functions

 

(22)

General Technique for Construction of Finite Difference Scheme of

Arbitrary Order

 

Method of 

Undetermined  Coefficients

(23)

General Technique for Construction of Finite Difference Scheme of Arbitrary Order: Example

 

(24)

General Technique for Construction of Finite Difference Scheme of Arbitrary Order: Example

 

(25)

General Technique for Construction of Finite Difference Scheme of Arbitrary Order: Example

 

 

(26)

General Technique for Construction of Finite Difference Scheme of Arbitrary Order: Example

 

         

         

         

         

       

 

   

    LHS RHS RHS RHS

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