Lecture
Solving Systems of Nonlinear Equations
Related lectures (32)
System of ODEs
Explores numerical methods for solving ODE systems, stability regions, and absolute stability importance.
Runge-Kutta Methods: Approximating Differential Equations
Covers the stages of the explicit Runge-Kutta method for approximating y(t) with detailed explanations.
High Order Methods: Space Discretisation
Covers high order methods for space discretisation in linear differential systems.
Convergence Analysis: Explicit RK Scheme
Explores the convergence analysis of the Explicit Runge-Kutta scheme for accurate numerical solutions.
Direct Methods for Linear Systems of Equations
Explores direct methods for solving linear systems of equations, including Gauss elimination and LU decomposition.
Numerical Methods: Iterative Techniques
Covers open methods, Newton-Raphson, and secant method for iterative solutions in numerical methods.
Iterative methods: Jacobi, Gauss-Seidel, SOR
Explores Jacobi, Gauss-Seidel, and SOR iterative methods for solving linear systems efficiently.
Finite Elements: Elasticity and Variational Formulation
Explores finite element methods for elasticity problems and variational formulations, emphasizing admissible deformations and numerical implementations.
Newton Method: Convergence and Quadratic Care
Covers the Newton method and its convergence properties near the optimal point.
Numerical Methods: Exercises
Covers exercises related to numerical methods, focusing on computational algorithms and problem-solving strategies.