منابع مشابه
Monotonicity in Romberg Quadrature
Monotonicity of one or more derivatives of the integrand is shown to imply a corresponding property of the approximating Romberg scheme. This is of importance in connection with error estimation by majorants [6]. The monotonicity properties are derived from an elementary study of the kernel functions involved. A possible explanation is given of the monotonicity which frequently occurs in applic...
متن کاملRomberg integration
1. Mathematical preliminaries Many problems in Numerical Analysis involve the transformation of a continuous problem into a discrete one. Our example here is the calculation of the value of a definite integral which is turned into computing a weighted sum of function values. An important parameter in this discretization is the mesh length or step size, h: b a f (x)dx ≈ h n i=1 f (a + 2i − 1 2 h...
متن کاملParry-Romberg syndrome
Parryةمزلاتم مساب اًضيأ فورعلما يجردتلا هجولا فصن رومض بارطضاو ،بستكم وه)يقرتلما هجولا فصن رومض( Romberg ىلع لولأا ماقلما في رثؤي امم ،ءاسنلا ىدل رثكأ ثدتح ، ئطب يجيردت دللجا نادقفو ،دحاو بناج رومضب زيمتتو ،هجولا نم دحاو بناج تلاخدت .ماظعلاو ،تلاضعلاو هجولا في دللجا تتح ةجسنلأاو يأ نودو ةحضاو ريغ ةلمتلمحا تاببسلما .عئاش رمأ باصعلأاو ينعلا Parry-Romberg ةمزلاتم نم ةردان ةلاح نع غلبن .فورعم جلاع ة...
متن کاملMultilevel Richardson-Romberg extrapolation
We propose and analyze a Multilevel Richardson-Romberg (ML2R) estimator which combines the higher order bias cancellation of the Multistep Richardson-Romberg method introduced in [Pag07] and the variance control resulting from the stratification introduced in the Multilevel Monte Carlo (MLMC) method (see [Gil08, Hei01]). Thus, in standard frameworks like discretization schemes of diffusion proc...
متن کاملParry Romberg syndrome.
Fig. 1 : Parry Romberg syndrome patient showing the deviation of nose, atrophy and deviation of tongue and atrophy of one side of the face. Fig. 2 : Parry Romberg patient showing scarring alopecia of the scalp. A 25 year old female presented with progressive atrophy of the left side of the face for the past 15 years. Lesions started on the scalp and forehead and extended to the entire half of t...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1972
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1972-0307448-5