An Essay on the Application of mathematical Analysis to the theories of Electricity and Magnetism.
By G. Green. 2008
304 citations recorded by the source corpus.
Green's famous essay (Nottingham, 1828), with which he introduced the potential function, was transcribed from its reprint in Crelle's Journal (1850-54), with several typographical corrections and a reference section added. Green starts with accounts of earlier work, and some introductory remarks motivating his notation and method. Then, he gives a textual summary of later formal calculations, beginning with the general results. Finally, Green applies the results to several problems concerning electricity and magnetism.
Subfields: Theoretical Computer Science
View Paper: https://www.semanticscholar.org/paper/5773c46188de3ae7698a704ae0263a79617aaa06
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In Theoretical Computer Science
Citations in the corpus
- Adjoint Equations in Stability Analysis (2014, background): “Probably the most classical example of adjoint of a partial differential equation George Green’s privately published comprehensive essay is Green’s formula for the Poisson equation (Green 1828), together with the related reciprocity theorems for the wave equation and electromagnetic fields.”
- Heritage and early history of the boundary element method (2005, methodology): “In fact, the phrase 'potential function' was coined by George Green (1793–1841) in his 1828 study [81] of electrostatics and magnetics: electric and magnetic potentials were used as convenient tools for manipulating the solution of electric and magnetic forces.”
- Smart Radio Environments Empowered by Reconfigurable Intelligent Surfaces: How it Works, State of Research, and Road Ahead (2020, background): “rface, becomes the source of secondary wavelets that determine the EM field at any point of the volume of interest. Based on the divergence theorem (or, its more general formulation, the Green theorem [44]), which states that the surface integral of a vector field over a closed surface is equal to the”
- Product Gauss cubature over polygons based on Green’s integration formula (2007, unknown): “Keywords: Gauss-like cubature, polygons, Green’s formula.”
- Trefftz and Collocation Methods (2008, methodology): “Green in 1828 [183] presented the three Green’s identities.”