GENERAL REMARKS ON DYNAMIC PROJECTION METHOD
Abstract
A brief history and a mathematical description of the dynamic projection operators technique is presented. An example of the general Cauchy problem for evolution equations in 1+ 1 dimensions is studied in detail. A boundary regime propagation is formulated in terms of operators and illustrated by the simplest one-dimensional diffusion equation. The problem of temperature waves is discussed.
Keywords:
partial differential equations, dynamical system, Cauchy problem, boundary regime propagation, diffusion equation, projection operator, idempotent operators, eigen mode, mode interactionDetails
- Issue
- Vol. 20 No. 2 (2016)
- Section
- Review
- Published
- 2016-06-30
- DOI:
- https://doi.org/10.17466/TQ2016/20.2/A
- Licencja:
-
This work is licensed under a Creative Commons Attribution 4.0 International License.