منابع مشابه
Decay of the Total Variation
In this paper we study the decay of solutions to parabolic conservation laws in the Hardy space H 1 and in the total variation norm. We show that solutions to scalar equations and systems decay to zero without a rate in H 1 , and that the total variation of solutions decays to zero at an algebraic rate.
متن کاملOn the Equivalence of Soft Wavelet Shrinkage, Total Variation Diffusion, Total Variation Regularization, and SIDEs
Soft wavelet shrinkage, total variation (TV) diffusion, TV regularization, and a dynamical system called SIDEs are four useful techniques for discontinuity preserving denoising of signals and images. In this paper we investigate under which circumstances these methods are equivalent in the one-dimensional case. First, we prove that Haar wavelet shrinkage on a single scale is equivalent to a sin...
متن کاملDecay of the Total Variation and
In this paper we study the decay of solutions to parabolic conservation laws in the Hardy space H 1 and in the total variation norm. We show that solutions to scalar equations and systems decay to zero without a rate in H 1 , and that the total variation of solutions decays to zero at an algebraic rate.
متن کامل2-stage explicit total variation diminishing preserving Runge-Kutta methods
In this paper, we investigate the total variation diminishing property for a class of 2-stage explicit Rung-Kutta methods of order two (RK2) when applied to the numerical solution of special nonlinear initial value problems (IVPs) for (ODEs). Schemes preserving the essential physical property of diminishing total variation are of great importance in practice. Such schemes are free of spurious o...
متن کاملTotal Variation Regularization in
We propose computational algorithms for incorporating total varia-tional (TV) regularization in positron emission tomography (PET). The motivation for using TV is that it has been shown to suppress noise effectively while capturing sharp edges without oscillations. This feature makes it particularly attractive for those applications of PET where the objective is to identify the shape of objects...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1933
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1933-1501686-3