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piecewise-linear approximation

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  • Piecewise linear continuation — implicial ContinuationSimplicial Continuation, or Piecewise Linear Continuation (Allgower and Georg [1] , [3] ) is a one parameter continuation method which is well suited to small to medium embedding spaces. The algorithm has been generalized to …   Wikipedia

  • Simplicial approximation theorem — In mathematics, the simplicial approximation theorem is a foundational result for algebraic topology, guaranteeing that continuous mappings can be (by a slight deformation) approximated by ones that are piecewise of the simplest kind. It applies… …   Wikipedia

  • List of numerical analysis topics — This is a list of numerical analysis topics, by Wikipedia page. Contents 1 General 2 Error 3 Elementary and special functions 4 Numerical linear algebra …   Wikipedia

  • Numerical continuation — is a method of computing approximate solutions of a system of parameterized nonlinear equations, The parameter λ is usually a real scalar, and the solution an n vector. For a fixed parameter value λ,, maps Euclidean n space into itself. Often the …   Wikipedia

  • Diode modelling — In electronics, diode modelling refers to the mathematical models used to approximate the actual behavior of real diodes to enable calculations and circuit analysis. A diode s I V curve is nonlinear (it is well described by the Shockley diode… …   Wikipedia

  • Dirac delta function — Schematic representation of the Dirac delta function by a line surmounted by an arrow. The height of the arrow is usually used to specify the value of any multiplicative constant, which will give the area under the function. The other convention… …   Wikipedia

  • Electrical network — For electrical power transmission grids and distribution networks, see Grid (electricity). A simple electric circuit made up of a voltage source and a resistor. Here, V = iR, according to Ohm s Law. An electrical network is an interconnection of… …   Wikipedia

  • Cent (music) — The cent is a logarithmic unit of measure used for musical intervals. Twelve tone equal temperament divides the octave into 12 semitones of 100 cents each. Typically, cents are used to measure extremely small finite intervals, or to compare the… …   Wikipedia

  • First-order hold — The first order hold (FOH) is a mathematical model of the practical reconstruction of sampled signals that could be done by a conventional digital to analog converter (DAC) and an analog circuit called an integrator. For the FOH, the signal is… …   Wikipedia

  • Céa's lemma — is a lemma in mathematics. It is an important tool for proving error estimates for the finite element method applied to elliptic partial differential equations. Contents 1 Lemma statement 2 Error estimate in the energy norm 3 …   Wikipedia

  • Square root — Measured fall time of a small steel sphere falling from various heights. The data is in good agreement with the predicted fall time of , where h is the height and g is the acceleration of gravity. In mathematics, a square root of a number x is a… …   Wikipedia

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