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Differential Equations: Approximation Methods and Analysis
Covers methods for approximating solutions to differential equations and their real-world applications.
Explicit Stabilised Methods: Stochastic Differential Equations
Covers explicit stabilized methods for stiff stochastic differential equations, analyzing their properties and applications.
Error Estimation in Numerical Methods
Explores error estimation in numerical methods for solving differential equations, focusing on local truncation error, stability, and Lipschitz continuity.
Variational Formulation: Finite Element Method
Discusses the variational formulation of the heat equation using the finite element method.
ODE Solvers: Runge-Kutta, Multistep Methods
Explores Runge-Kutta and multistep methods for solving ODEs, comparing their accuracy and efficiency.
Predictor-Corrector Method: Harmonic Oscillator
Explores the Predictor-Corrector method for the harmonic oscillator and Runga-Kutta method in differential equations.
Nonlinear Analysis of Structures
Explores nonlinear analysis of structures, including the Newmark Method and modeling strategies.
Finite Elements Method: Application Example 2D
Explores the application of finite elements method in 2D temperature distribution on a square plate.