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PG - TRB - MATHS - CLASSICAL MECHANICS AND NUMERICAL ANALYSIS - PRINCIPLE OF LEAST ACTION - UNIT - 8

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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:    • NEET / JEE MAINS - FACULTY WANTED - ONLINE...