Dimension-splitting data points redistribution for meshless approximation

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Approximation and compression of scattered data by meshless multiscale decompositions

A class of multiscale decompositions for scattered discrete data is introduced, motivated by sensor network applications. A specific feature of these decompositions is that they do not rely on any type of mesh or connectivity between the data points. The decomposition is based on a thinning procedure that organizes the points in a multiscale hierarchy and on a local prediction operator based on...

متن کامل

Dimension splitting for quasilinear parabolic equations

In the current paper, we derive a rigorous convergence analysis for a broad range of splitting schemes applied to abstract nonlinear evolution equations, including the Lie and Peaceman–Rachford splittings. The analysis is in particular applicable to (possibly degenerate) quasilinear parabolic problems and their dimension splittings. The abstract framework is based on the theory of maximal dissi...

متن کامل

Dimension Splitting for Time Dependent Operators

In this paper we are concerned with the convergence analysis of splitting methods for nonautonomous abstract evolution equations. We introduce a framework that allows us to analyze the popular Lie, Peaceman– Rachford and Strang splittings for time dependent operators. Our framework is in particular suited for analyzing dimension splittings. The influence of boundary conditions is discussed.

متن کامل

Hausdorff Dimension of Cut Points for Brownian Motion Hausdorr Dimension of Cut Points for Brownian Motion

Abstact: Let B be a Brownian motion in R d , d = 2; 3. A time t 2 0; 1] is called a cut time for B0; 1] if B0; t) \ B(t; 1] = ;: We show that the Hausdorr dimension of the set of cut times equals 1 ? , where = d is the intersection exponent. The theorem, combined with known estimates on 3 , shows that the percolation dimension of Brownian motion (the minimal Hausdorr dimension of a subpath of a...

متن کامل

Meshless Parameterization and B-Spline Surface Approximation

This paper proposes a method for approximating unorganized points in lR 3 with smooth B-spline surfaces. The method involves: meshless parameteri-zation; triangulation; shape-preserving reparameterization; and least squares spline approximation.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Computational and Applied Mathematics

سال: 2010

ISSN: 0377-0427

DOI: 10.1016/j.cam.2010.06.026