ESO 208 A Computational Methods in Engineering Numerical

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ESO 208 A: Computational Methods in Engineering Numerical Differentiation Abhas Singh Department of Civil

ESO 208 A: Computational Methods in Engineering Numerical Differentiation Abhas Singh Department of Civil Engineering IIT Kanpur Acknowledgements: Profs. Saumyen Guha and Shivam Tripathi (CE)

Numerical Differentiation •

Numerical Differentiation •

Numerical Differentiation: Finite Difference •

Numerical Differentiation: Finite Difference •

Numerical Differentiation: Finite Difference •

Numerical Differentiation: Finite Difference •

Numerical Differentiation: Finite Difference •

Numerical Differentiation: Finite Difference •

Numerical Differentiation: Finite Difference •

Numerical Differentiation: Finite Difference •

Numerical Differentiation: Finite Difference •

Numerical Differentiation: Finite Difference •

Numerical Differentiation: Finite Difference •

Numerical Differentiation: Finite Difference •

Numerical Differentiation: Finite Difference •

Numerical Differentiation: Finite Difference •

Numerical Differentiation: Truncation Error Analysis •

Numerical Differentiation: Truncation Error Analysis •

Numerical Differentiation: Truncation Error Analysis •

Numerical Differentiation: Truncation Error Analysis •

Numerical Differentiation: Truncation Error Analysis •

Numerical Differentiation: Truncation Error Analysis •

Numerical Differentiation: Truncation Error Analysis •

Numerical Differentiation: Truncation Error Analysis •

Numerical Differentiation: Truncation Error Analysis •

Numerical Differentiation: Truncation Error Analysis •

Numerical Differentiation: Finite Difference •

Numerical Differentiation: Finite Difference •

Modified Wave Number Analysis: Periodic Functions •

Modified Wave Number Analysis: Periodic Functions •

Modified Wave Number Analysis: Periodic Functions •

Modified Wave Number Analysis: Periodic Functions •

Amplitude Error and Phase Error Analysis: Periodic Functions •

Amplitude Error and Phase Error Analysis: Periodic Functions •

Amplitude Error and Phase Error Analysis: Periodic Functions •

Amplitude Error and Phase Error Analysis: Periodic Functions •

General Technique for Construction of Finite Difference Scheme of Arbitrary Order • Method of

General Technique for Construction of Finite Difference Scheme of Arbitrary Order • Method of Undetermined Coefficients

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

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

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

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

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

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

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

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