Hörmander operators are a class of linear second order partial differential operators with nonnegative characteristic form and smooth coefficients, ... The aim of this book is to give a systematic ...

In the second step, the obtained Koopman operator is “projected back” to the finite-dimensional state space, and identified to the nonlinear vector field through a linear least squares problem. The ...

ABSTRACT: The research paper investigates the computation of Casimir operators on s l 2 -modules associated with linear differential operators and symbols on the real line. The study considers spaces ...

The reversal operator operates by ordering the object components where applied. Reversal is easy to perform as it is distributive regarding the vector sum and matrix product. Supplementary ...

The predominant types of vector fields studied are continuous piecewise-linear vector fields satisfying certain permutation properties. The approach taken to investigate the pragmatic results of the ...

A Helmholtzian operator is a linear second order partial differential operator, ... A Helmholtzian operator and electromagnetic-nuclear field ... The focus of this tutorial is to demonstrate that when ...

First some background. Vector calculus is the branch of mathematics that deals with the differentiation and integration of vector fields. The reason it is so important in physics is that more or ...