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Green's function

In mathematics, a Green's function (or Green function) is the impulse response of an inhomogeneous linear differential operator defined on a domain with specified initial conditions or boundary conditions.

Applications, Finding Green's functions & Definition and uses

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Overview

Definition and uses

Motivation

Green's functions for solving non-homogeneous boundary value problems

Finding Green's functions

Green's functions for the Laplacian

Further examples

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Green's function

Nodes100
Edges99
Triples101
Avg. degree1.98
Density0.02
Components1

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Green's function

Top relations

related to External links · 23
Green's function → Archived, Brady Haran, Element Method, EMS Press, Encyclopedia, Eric, George Green, Green, Green's, Green's Functions, Introduction, JauhoGreen's Function LibraryTutorial, Keldysh Nonequilibrium Green Function, Mathematics, MathWorld, Nottingham, PlanetMath, Roger, Sixty Symbols, Technique
related to Further examples · 13
Green's function → Also, Dirichlet, Green's, Heaviside, How, Laplacian, Let, Neumann, Taylor, The Green's, Then, Theta, X10Y20 Green's
related to Combining Green's functions · 11
Green's function → AB, For, Fourier, Green's, If, LG, Taking, The, Theta, This, While
related to Advanced and retarded Green's functions · 8
Green's function → Both, Certain, Green's, However, In, Similarly, The, Therefore
related to Example · 7
Green's function → Find, First, Green, Green's, Lu, The Green's, X11
related to Theorem · 7
Green's function → Derivative, For, Green's, LG, Lu, Symmetry, There
related to Motivation · 6
Green's function → Because, Green's, LG, Loosely, Lu, This
related to Table of Green's functions · 6
Green's function → Bessel, Green's, Heaviside, The, Theta, Where
related to Eigenvalue expansions · 5
Green's function → Complete, Green's, If, LΨn, Psi
related to Definition and uses · 4
Green's function → Dirac, Euclidean, Green's, This

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Important terminology

green's displaystyle function functions equation operator differential boundary solution delta linear right mathbf derivative left int also cdot conditions begin

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Green's functionis asame as the impulse response of linear time-invariant system theory0.90text
Green's functionrelated to Advanced and retarded Green's functionsGreen's0.60section
Green's functionrelated to Advanced and retarded Green's functionsTherefore0.60section
Green's functionrelated to Advanced and retarded Green's functionsCertain0.60section
Green's functionrelated to Advanced and retarded Green's functionsSimilarly0.60section
Green's functionrelated to Advanced and retarded Green's functionsIn0.60section
Green's functionrelated to Advanced and retarded Green's functionsBoth0.60section
Green's functionrelated to Advanced and retarded Green's functionsThe0.60section
Green's functionrelated to Advanced and retarded Green's functionsHowever0.60section
Green's functionrelated to Combining Green's functionsIf0.60section
Green's functionrelated to Combining Green's functionsGreen's0.60section
Green's functionrelated to Combining Green's functionsThe0.60section

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