Helmholtz's wave equation

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• Wave equation — Not to be confused with Wave function. The wave equation is an important second order linear partial differential equation for the description of waves – as they occur in physics – such as sound waves, light waves and water waves. It arises in… …   Wikipedia

• Helmholtz equation — The Helmholtz equation, named for Hermann von Helmholtz, is the elliptic partial differential equation:( abla^2 + k^2) A = 0where abla^2 is the Laplacian, k is a constant, and the unknown function A=A(x, y, z) is defined on n dimensional… …   Wikipedia

• Wave — A wave is a disturbance that propagates through space and time, usually with transference of energy. While a mechanical wave exists in a medium (which on deformation is capable of producing elastic restoring forces), waves of electromagnetic… …   Wikipedia

• Helmholtz resonance — is the phenomenon of air resonance in a cavity. The name comes from a device created in the 1850s by Hermann von Helmholtz to show the height of the various tones. An example of Helmholtz resonance is the sound created when one blows across the… …   Wikipedia

• Prolate spheroidal wave functions — The prolate spheroidal wave functions are a set of functions derived by timelimiting and lowpassing, and a second timelimit operation. Let Q T denote the time truncation operator, such that x=Q T x iff x is timelimited within [ T/2;T/2] .… …   Wikipedia

• Partial differential equation — A visualisation of a solution to the heat equation on a two dimensional plane In mathematics, partial differential equations (PDE) are a type of differential equation, i.e., a relation involving an unknown function (or functions) of several… …   Wikipedia

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• Hermann von Helmholtz — Infobox Scientist name = Hermann von Helmholtz |225px image width = 225px caption = Hermann Ludwig Ferdinand von Helmholtz birth date = birth date|1821|8|31|mf=y birth place = Potsdam, Kingdom of Prussia residence = Germany nationality = German… …   Wikipedia

• Kelvin–Helmholtz instability — Numerical simulation of a temporal Kelvin–Helmholtz instability The Kelvin–Helmholtz instability, after Lord Kelvin and Hermann von Helmholtz, can occur when velocity shear is present within a continuous fluid, or when there is sufficient… …   Wikipedia

• Plane wave expansion method — (PWE) refers to a computational technique in Electromagnetics,solve the Maxwell s equations by formulating an Eigenvalue problem out of it. This method isa popular among Photonic Crystal community, as a method of solving for the band structure… …   Wikipedia