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A list of all the posts and pages found on the site. For you robots out there is an XML version available for digesting as well.
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The Generalized Euler-Lagrange Equation
Published:
Abstract: The generalized Euler-Lagrange equation is derived in the context of classical mechanics and classical field theory through the principle of stationary action. The physical relevance of the formula is briefly discussed.
Sequence Operators: From Recurrence Relations to Differential Equations
Published:
Abstract: Sequence operators on series expansions are inverted to obtain a differential equation from a recurrence relation. Common sequences are considered and their associated differential equations are calculated.
Sequence Operators for the Series Expansion of Differential Equations
Published:
Abstract: We present an operator formalism for the solution of ordinary differential equations using series expansion. These operators make it possible to easily map a differential equation into an algebraic equation.
Dual Algebras and Automatic Differentiation
Published:
Abstract: This is a short introduction to dual algebras and their computational application for automatic differentiation.
Time Evolution: From Classical to Quantum
Published:
Abstract: In this article I will introduce the quantum time evolution operator drawing parallels with classical mechanics and continuous transformations.
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A fractal for Giulia
This is an artistic rendition of a Julia fractal rendered using orbit traps