Numerical Methods: Euler and Crank-Nicolson

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Numerical Methods: Differential Equations and Stability Analysis

Covers numerical methods for solving differential equations and their stability analysis, focusing on error calculation and practical applications in engineering and science.

Numerical Methods: Euler Schemes

Focuses on Euler schemes for numerical approximation of forces and velocities.

Finite Difference Methods: Stability Analysis

Explores the stability analysis of finite difference methods for solving differential equations.

Numerical Integration Methods

Explores numerical integration methods and their application in solving differential equations and simulating physical systems.

Ordinary Differential Equations: Error Analysis

Explores error analysis in ordinary differential equations and convergence criteria for numerical methods.

Convergence Analysis: Explicit RK Scheme

Explores the convergence analysis of the Explicit Runge-Kutta scheme for accurate numerical solutions.

Euler Backward Method: ODEs

Explores the Euler backward method for ODEs, discussing stability, error reduction, and implicit vs explicit methods.

Exam Problems: Nonlinear Equations & ODEs

Covers exam-like problems on nonlinear equations, ODEs, and numerical methods.

Explicit Stabilised Methods: Stochastic Differential Equations

Covers explicit stabilized methods for stiff stochastic differential equations, analyzing their properties and applications.

Numerical Integration: Trapezoidal Rule

Covers numerical integration methods, focusing on the trapezoidal rule and iterative processes.