A note on the rate of convergence of integration schemes for closed surfaces

01/08/2023
by   Gentian Zavalani, et al.
0

In this paper, we issue an error analysis for integration over discrete surfaces using the surface parametrization presented in [PS22] as well as prove why even-degree polynomials exhibit a higher convergence rate than odd-degree polynomials. Additionally, we provide some numerical examples that illustrate our findings and propose a potential approach that overcomes the problems associated with the original one.

READ FULL TEXT

page 5

page 12

research
08/02/2020

On the optimal rates of convergence of Gegenbauer projections

In this paper we present a comprehensive convergence rate analysis of Ge...
research
04/06/2021

Discrete time approximation of fully nonlinear HJB equations via stochastic control problems under the G-expectation framework

In this paper, we propose a class of discrete-time approximation schemes...
research
04/17/2023

Qsurf: compressed QMC integration on parametric surfaces

We discuss a bottom-up algorithm for Tchakaloff like compression of Quas...
research
01/05/2021

Modified discrete Laguerre polynomials for efficient computation of exponentially bounded Matsubara sums

We develop a new type of orthogonal polynomial, the modified discrete La...
research
03/10/2022

A note on estimating Bass model parameters

Bass (1969) proposed a model (the Bass model) for the timing of adoption...
research
06/07/2019

A Note on Lower Digits Extraction Polynomial for Bootstrapping

Bootstrapping is a crucial but computationally expensive step for realiz...
research
04/29/2020

Convergence Analysis of Extended LOBPCG for Computing Extreme Eigenvalues

This paper is concerned with the convergence analysis of an extended var...

Please sign up or login with your details

Forgot password? Click here to reset