Lecture
Isoparametric Formulation of Quad4 Element
Related lectures (38)
Solving the Quintic: Dominant Balance Analysis
Explores dominant balance analysis in solving the quintic polynomial, revealing insights into root behavior and the importance of symbolic expressions.
Calculus of Variation and Euler's Elastica
Covers variational methods, equilibrium shape of a bent beam, Euler's Elastica, and numerical and analytical methods.
High Order Methods: Space Discretisation
Covers high order methods for space discretisation in linear differential systems.
Advection-Diffusion Equations
Explores numerical solutions and stability analysis of advection-diffusion equations, emphasizing properties of analytical solutions and their behavior over time.
Molecular dynamics under constraints
Explores molecular dynamics simulations under holonomic constraints, focusing on numerical integration and algorithm formulation.
Numerical Analysis: Jupyter Notebook Tutorial
Covers course organization, Jupyter Notebook for Python experimentation, algorithms, interpolation, solving equations, linear systems, and practical applications.
System of ODEs
Explores numerical methods for solving ODE systems, stability regions, and absolute stability importance.
Interpolation and Calculus
Covers revisions on calculus, derivation rules, interpolation, and tangent vectors.
Astrophysical Fluids & Plasmas
Explores astrophysical fluids, plasmas, MHD, turbulence, and plasma oscillations, including Faraday rotation for measuring cosmic magnetic fields.
Dynamics of Pendulum: Equilibrium and Kinetic Energy
Explores the dynamics of a pendulum, emphasizing equilibrium conditions and kinetic energy calculations for different points.