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In numerical analysis and applied mathematics, sinc numerical methods are numerical techniques for finding approximate solutions of partial differential equations and integral equations based on the translates of sinc function and Cardinal function C(f,h) which is an expansion of f defined by : where the step size h>0 and where the sinc function is defined by : Sinc approximation methods excel for problems whose solutions may have singularities, or infinite domains, or boundary layers. The truncated Sinc expansion of f is defined by the following series: : . ==Sinc numerical methods cover== *function approximation, *approximation of derivatives, *approximate definite and indefinite integration, *approximate solution of initial and boundary value ordinary differential equation (ODE) problems, *approximation and inversion of Fourier and Laplace transforms, *approximation of Hilbert transforms, *approximation of definite and indefinite convolution, *approximate solution of partial differential equations, *approximate solution of integral equations, *construction of conformal maps. Indeed, Sinc are ubiquitous for approximating every operation of calculus In the standard setup of the sinc numerical methods, the errors (in big O notation) are known to be with some k>0, in a setup that is also meaningful both theoretically and practically and are found to be best possible in a certain mathematical sense. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Sinc numerical methods」の詳細全文を読む スポンサード リンク
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