Constraints in Molecular Dynamics: General Method and SHAKE Algorithm

Related lectures (48)

Covers Euler and Crank-Nicolson methods for solving differential equations.

Covers the computational environment for Molecular Dynamics and Monte Carlo exercises, emphasizing theoretical understanding over coding skills.

Explores nonlinearity in numerical flow simulation, covering linearization methods and practical examples.

Introduces the basics of finite element modeling for dynamics and discusses the Newmark method for time integration.

Covers the fundamentals of Molecular Dynamics, including the Ergodic Hypothesis, force fields, and periodic boundary conditions.

Covers the Richardson method for solving linear systems with preconditioned iterative solvers and introduces the gradient method.

Covers the derivation of the equation of motion, interpolation, Newton's equation, and energy conservation in finite element modeling.

Explores the convergence analysis of Newton's method for solving nonlinear equations, discussing linear and quadratic convergence properties.

Covers the Newton method for finding zeros of functions using data interpolation.

Explores the Newton method for root finding and its convergence analysis, including the modified Newton method.

Explores limits of recursive sequences, convergence, boundedness, and algebraic operations related to limits at infinity.

Covers the HITS algorithm, computing hubs and authorities, convergence, and sample results.

Covers the derivation of the Laplacian in polar coordinates, emphasizing the importance of working through the linear case.

Explores linear operators, boundedness, and convergence in Banach spaces, focusing on Cauchy sequences and operator identification.

Explores the continuity of functions in R² and R³, emphasizing accumulation points and limits.

Covers higher order methods for solving equations iteratively, including fixed point methods and Newton's method.

Explores the Newton method for non-linear equations, discussing convergence criteria and stopping conditions.

Explores the completeness of LP, discussing implications of mathematical conditions and the convergence of series.

Covers the integration of limit expansions and continuous functions by pieces.

Page 2 of 3