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piecewise polynomial

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  • Finite element method — The finite element method (FEM) (sometimes referred to as finite element analysis) is a numerical technique for finding approximate solutions of partial differential equations (PDE) as well as of integral equations. The solution approach is based …   Wikipedia

  • Spline (mathematics) — A quadratic spline composed of six polynomial segments. Between point 0 and point 1 a straight line. Between point 1 and point 2 a parabola with second derivative = 4. Between point 2 and point 3 a parabola with second derivative = 2. Between… …   Wikipedia

  • Non-uniform rational B-spline — Three dimensional NURBS surfaces can have complex, organic shapes. Control points influence the directions the surface takes. The outermost square below delineates the X/Y extents of the surface …   Wikipedia

  • Spectral element method — In mathematics, the spectral element method is a high order finite element method.Introduced in a 1984 paper [A. T. Patera. A spectral element method for fluid dynamics Laminar flow in a channel expansion. Journal of Computational Physics ,… …   Wikipedia

  • numerical analysis — the branch of mathematics dealing with methods for obtaining approximate numerical solutions of mathematical problems. [1925 30] * * * Branch of applied mathematics that studies methods for solving complicated equations using arithmetic… …   Universalium

  • Illustration of the central limit theorem — This article gives two concrete illustrations of the central limit theorem. Both involve the sum of independent and identically distributed random variables and show how the probability distribution of the sum approaches the normal distribution… …   Wikipedia

  • Computer-aided geometric design — (CAGD), also known as geometric modeling, is a branch of computational geometry. It deals with the construction and representation of free form curves, surfaces, or volumes. [Farin, G.: A History of Curves and Surfaces in CAGD,… …   Wikipedia

  • Hp-FEM — The symbol hp FEM is an abbreviation for a general version of the Finite Element Method that employs elements of variable size (h) and polynomial degree (p) . The origins of this method date back to the pioneering work of Ivo Babuska et. al who… …   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

  • Spline interpolation — See also: Spline (mathematics) In the mathematical field of numerical analysis, spline interpolation is a form of interpolation where the interpolant is a special type of piecewise polynomial called a spline. Spline interpolation is preferred… …   Wikipedia

  • Radiosity — is a global illumination algorithm used in 3D computer graphics rendering. Radiosity is an application of the finite element method to solving the rendering equation for scenes with purely diffuse surfaces. Unlike Monte Carlo algorithms (such as… …   Wikipedia

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