This notebook illustrates one way of using Mathematica to solve some advanced theoretical mechanics problems using Lagrangian Mechanics. Typical application would be a robot ...

We look for the extremum of a function and the value of the Lagrangian multipliers knowing that this function lies on the intersection of two surfaces. The solution to the ...

LagrangianEquations.nb is a sample notebook illustrating how to use Mathematica to solve advanced theoretical mechanics problems using Lagrange's equations.

Classica.m derives the equation of motion of basic mechanical systems by minimizing the total Lagrangian. It also has extensions to use Hamilton's canonic equations and the ...

The computation of renormalized one-loop amplitudes in quantum field theory requires not only the knowledge of the Lagrangian density and the corresponding Feynman rules, but ...

Abstract: We use Whitham’s averaged Lagrangian method extended with the multiple-scale formalism to derive a sixth-order nonlinear Schrödinger equation for the complex ...

Necessary differential equations to study deformation of shells in Lagrangian (material) coordinates are derived using MathTensor. To account for the shell curvatures the ...

This textbook takes a broad yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the ...

This is an implementation of the Method of Multipliers (also known as the Augmented Lagrangian Method) due to Hestenes, Powell, Rockafellar and others. It solves nonlinear ...

The validity of Lagrangian functional for linear dissipative oscillator is checked by using it as a tool for approximate solutions via direct methods of variational calculus. ...