ESO 208 A Computational Methods in Engineering Numerical Slides: 26 Download presentation 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: 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: Finite Difference • 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 • 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 • LHS RHS RHS