The lumped element model (also called lumped parameter model, or lumped component model) simplifies the description of the behaviour of spatially distributed physical systems into a topology consisting of discrete entities that approximate the behaviour of the distributed system under certain assumptions. It is useful in electrical systems (including electronics), mechanical multibody systems, heat transfer, acoustics, etc.
Mathematically speaking, the simplification reduces the state space of the system to a finite number, and the partial differential equations (PDEs) of the continuous (infinite-dimensional) time and space model of the physical system into ordinary differential equations (ODEs) with a finite number of parameters.
Famous quotes containing the words element and/or model:
“Justice has its anger, my lord Bishop, and the wrath of justice is an element of progress. Whatever else may be said of it, the French Revolution was the greatest step forward by mankind since the coming of Christ. It was unfinished, I agree, but still it was sublime. It released the untapped springs of society; it softened hearts, appeased, tranquilized, enlightened, and set flowing through the world the tides of civilization. It was good. The French Revolution was the anointing of humanity.”
—Victor Hugo (18021885)
“AIDS occupies such a large part in our awareness because of what it has been taken to represent. It seems the very model of all the catastrophes privileged populations feel await them.”
—Susan Sontag (b. 1933)