Lectures related to Low Discrepancy Sequences

Power Systems Dynamics: Transient Stability

Explores transient stability in power systems dynamics, covering algebraic equations, generator models, and numerical integration techniques.

Stability of a Planet's Orbit

Covers the examination of the stability of a planet's orbit using Runge-Kutta numerical integration.

Explicit Stabilised Methods: Stochastic Differential Equations

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

Finite Element Method: Key Concepts

Covers the key concepts behind the Finite Element Method and its applications in linear statics.

Numerical Differentiation and Integration

Explores numerical differentiation and integration methods, emphasizing the accuracy of finite differences in computing derivatives and integrals.

Molecular dynamics under constraints

Explores molecular dynamics simulations under holonomic constraints, focusing on numerical integration and algorithm formulation.

Adiabatic Reactor Design

Covers the design of adiabatic reactors with a focus on isomerization reactions and energy balance calculations.

Monte Carlo Simulations

Covers Monte Carlo simulations, ensemble properties, and numerical integration techniques.

Numerical Analysis: Introduction to Computational Methods

Covers the basics of numerical analysis and computational methods using Python, focusing on algorithms and practical applications in mathematics.

Generation and Recombination

Explores the fundamental concepts of generation and recombination in semiconductors for photovoltaic devices.

Numerical Integration

Covers the importance of reducing integration order for more efficient calculations.

Modeling Hydraulic Components: Electrical Analogy and Wave Speed Adaptation

Explores modeling hydraulic components through an electrical analogy and wave speed adaptation for uniform discretization.

Monte Carlo Method: Thermal Radiation

Explores the Monte Carlo method for thermal radiation and radiative energy exchange.

Computational Neuroscience: Biophysics & Modeling

Covers the fundamentals of computational neuroscience, focusing on biophysics and modeling.

Numerical Integration: Basics

Covers digital integration, interpolation polynomials, and integration formulas with error analysis.

Gauss Formulas

Explains the construction and benefits of Gauss formulas for numerical integration.

Molecular Dynamics Simulations: Energy Conservation

Explores energy conservation in Hamiltonian systems, numerical integration, time step choices, and constraint algorithms in molecular dynamics simulations.

Simpson's Rule

Covers Simpson's rule for numerical integration and its accuracy for polynomial functions.

Nonlinear Geometric Transformation: Analysis and Approximations

Explores nonlinear geometric transformations in structural engineering, emphasizing accurate integration methods and practical applications.

Numerical Differentiation and Integration

Covers numerical differentiation, integration, finite differences, Taylor expansions, and interpolation polynomials.