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Molecular Dynamics Simulations: Energy Conservation
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Molecular dynamics under constraints
Explores molecular dynamics simulations under holonomic constraints, focusing on numerical integration and algorithm formulation.
Molecular Dynamics Simulations: Basics and Algorithms
Covers the basics of molecular dynamics simulations, ensemble properties, classical mechanics formulations, numerical integration, energy conservation, and constraint algorithms.
Power Systems Dynamics: Transient Stability
Explores transient stability in power systems dynamics, covering algebraic equations, generator models, and numerical integration techniques.
Constraints and Lagrange
Covers constraints, Lagrange equations, generalized coordinates, cyclic coordinates, conservation laws, and Hamilton formalism.
Numerical Integration of EOMS
Covers numerical integration methods for equations of motion and energy conservation in MD simulations.
Constraints and Lagrange
Introduces constraints, Lagrange multipliers, and generalized coordinates in physics.
Calculus of Variations and Euler's Elastica
Covers variational methods, equilibrium shapes, Euler's Elastica, and numerical and analytical methods for solving Euler's Elastica.
Finite Element Method: Key Concepts
Covers the key concepts behind the Finite Element Method and its applications in linear statics.
Calculus of Variation and Euler's Elastica
Covers variational methods, equilibrium shape of a bent beam, Euler's Elastica, and numerical and analytical methods.
Numerical Differentiation and Integration
Explores numerical differentiation and integration methods, emphasizing the accuracy of finite differences in computing derivatives and integrals.