AbstractThis paper proves approximation order properties of various nonlinear subdivision schemes. Building on some recent results on the stability of nonlinear multiscale transformations, we are able to give very short and concise proofs. In particular we point out an interesting connection between stability properties and approximation order for nonlinear subdivision schemes
A class of local nonlinear stationary subdivision schemes that interpolate equidistant data and that...
In this article, a nonlinear binary three-point non-interpolatory subdivision scheme is presented. I...
AbstractWe establish results on convergence and smoothness of subdivision rules operating on manifol...
AbstractThis paper proves approximation order properties of various nonlinear subdivision schemes. B...
Abstract. Linear interpolatory subdivision schemes of Cr smoothness have approximation order at leas...
AbstractLinear interpolatory subdivision schemes of Cr smoothness have approximation order at least ...
This paper has been written as part of the course ”Guided Research Mathematics II ” at International...
The stability of stationary interpolatory subdivision schemes for univariate data is investigated. I...
textabstractWe consider the univariate two-scale refinement equation. The paper analyzes the correla...
Abstract. We analyse the approximation and smoothness properties of fundamental and refinable functi...
Abstract. Nonlinear subdivision schemes arise from, among other applications, non-linear multiscale ...
In this paper we propose and analyze a nonlinear subdivision scheme based on the monotononicity-pres...
It is well-known to waveleticians that refinable functions exhibit subtle relationships between thei...
Abstract: The properties of the simplest second order accurate ENO-scheme are investigated...
AbstractWe analyze the convergence and smoothness of certain class of nonlinear subdivision schemes....
A class of local nonlinear stationary subdivision schemes that interpolate equidistant data and that...
In this article, a nonlinear binary three-point non-interpolatory subdivision scheme is presented. I...
AbstractWe establish results on convergence and smoothness of subdivision rules operating on manifol...
AbstractThis paper proves approximation order properties of various nonlinear subdivision schemes. B...
Abstract. Linear interpolatory subdivision schemes of Cr smoothness have approximation order at leas...
AbstractLinear interpolatory subdivision schemes of Cr smoothness have approximation order at least ...
This paper has been written as part of the course ”Guided Research Mathematics II ” at International...
The stability of stationary interpolatory subdivision schemes for univariate data is investigated. I...
textabstractWe consider the univariate two-scale refinement equation. The paper analyzes the correla...
Abstract. We analyse the approximation and smoothness properties of fundamental and refinable functi...
Abstract. Nonlinear subdivision schemes arise from, among other applications, non-linear multiscale ...
In this paper we propose and analyze a nonlinear subdivision scheme based on the monotononicity-pres...
It is well-known to waveleticians that refinable functions exhibit subtle relationships between thei...
Abstract: The properties of the simplest second order accurate ENO-scheme are investigated...
AbstractWe analyze the convergence and smoothness of certain class of nonlinear subdivision schemes....
A class of local nonlinear stationary subdivision schemes that interpolate equidistant data and that...
In this article, a nonlinear binary three-point non-interpolatory subdivision scheme is presented. I...
AbstractWe establish results on convergence and smoothness of subdivision rules operating on manifol...
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