Euler lagrange equation - Study guides, Class notes & Summaries

We study a generalization of a cross-diffusion problem deduced from a nonlinear complex- variable diffusion model for signal and image denoising. We prove the existence of weak solutions of the time-independent problem with fidelity terms under mild conditions on the data problem. Then, we show that this translates on the well-posedness of a quasi-steady state approximation of the evolution problem, and also prove the existence of weak solutions of the latter under more restrictive hypothes...

my class notes comprises of the entire subject topics includes UNIT I SOLUTION OF ALGEBRAIC AND TRANSCENDENTAL EQUATIONS AND EIGENVALUE PROBLEMS: Bisection method- Method of false position -Newton Raphson method (single and system of two equations) -Eigen value and Eigen vector by power method. UNIT II LINEAR SIMULTANEOUS EQUATIONS : Solution of linear simultaneous equations and matrix inversion - Gauss elimination method - Gauss Jordan method - Iterative methods of Gauss Jacobi and Gauss ...

Compilation of semester exam level questions in Classical Mechanics on following topics. VARIATIONAL CALCULUS - Euler equation, Lagrange multipliers, Holonomic and Non-holonomic constraints. LAGRANGIAN MECHANICS - degrees of freedom, virtual work, generalised coordinates, velocities and forces, conservative Lagrangian and Hamiltonian. SMALL VIBRATIONS - double pendulum, kinetic and potential energy matrices, Normal modes and frequencies, superimposition of different modes, linear triatomic m...