Concept in the solution of linear partial differential equations
In mathematics, and specifically the field of partial differential equations (PDEs), a parametrix is an approximation to a fundamental solution of a PDE, and is essentially an approximate inverse to a differential operator.
A parametrix for a differential operator is often easier to construct than a fundamental solution, and for many purposes is almost as good. It is sometimes possible to construct a fundamental solution from a parametrix by iteratively improving it.
parametrix is an approximation to a fundamental solution of a PDE, and is essentially an approximate inverse to a differential operator. A parametrix...
called the impulse response of a filter. Green's function Impulse response Parametrix "Fundamental solution", Encyclopedia of Mathematics, EMS Press, 2001 [1994]...
operators in partial differential equations is an abstract form of the parametrix method. The Atiyah-Singer index theorem gives a topological characterization...
2021. Retrieved September 28, 2021. "Parametrix to complete preliminary design for MAX Red Line extension". Parametrix. February 18, 2018. Archived from...
from Cut/broken Piles, Asarco Smelter Site (PDF) (Report). Bellevue, WA: Parametrix. Archived from the original (PDF) on 2016-08-12. Whittaker, J.T. (1893)...
the theory of partial differential operators lead to the method of the parametrix, which is basically a way to construct fundamental solutions for elliptic...
20...85V. doi:10.1070/RM1965v020n03ABEH001184. Eskin, Gregory (1977). "Parametrix and propagation of singularities for the interior mixed hyperbolic problem"...
streetcars on March 9, 1937". HistoryLink. Retrieved January 1, 2022. Parametrix, LTK Engineering Services (May 27, 2011). King County Trolleybus Evaluation...
(ed.), Метод параметрикса в теории дифференциальных комплексов [The parametrix method in the theory of differential complexes] (in Russian), Novosibirsk:...
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