PG- TRB- MATHS-CLASSICAL MECHANICS AND NUMERICAL ANALYSIS- NUMERICAL INTEGRATION - UNIT -8 -PART -4

PG- TRB- MATHS-CLASSICAL MECHANICS AND NUMERICAL ANALYSIS- NUMERICAL DIFFERENTIATION & INTEGRATION - UNIT- 8 - PART - 4

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Unit VIII
CLASSICAL MECHANICS AND NUMERICAL ANALYSIS

Classical Mechanics
Generalised Co-ordinates – Lagrange’s equations – Hamilton’s Canonical
equations – Hamilton’s principle – Principle of least action – Canonical
transformations – Differential forms and Generating functions – Lagrange and
Poisson brackets.

Numerical Analysis
Numerical solutions of algebraic and transcendental equations – Method of
iteration – Newton Raphson method – Rate of convergence – Solution of Linear
algebraic equations using Gauss elimination and Gauss – Seidel methods.
Finite differences – Lagrange, Hermite and Spline Interpolation, Numerical
differentiation and integration – Numerical solutions of Ordinary differential
equations using Picard, Euler, Modified Euler and Runge- Kutta methods.Click link below: https://youtu.be/eluWkLWwIxg?si=bn8jUdxG2E_kumMR

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