# Total variation diminishing

## Papers overview

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2015

2015

- Math. Comput.
- 2015

We construct an interpolation operator that does not increase the total variation and is defined on continuous first degreeâ€¦Â (More)

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2014

2014

- 2014

In this paper, a new implicit nonstandard finite difference scheme for conservation laws preserving total variation diminishingâ€¦Â (More)

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2010

2010

- 2010

The Van Leer approach for the approximation of nonlinear scalar conservation laws is studied in one space dimension. The problemâ€¦Â (More)

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2010

2010

- Mathematical and Computer Modelling
- 2010

Nonstandard finite difference schemes for conservation laws preserving the property of diminishing total variation of theâ€¦Â (More)

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2010

2010

- SIAM J. Numerical Analysis
- 2010

It is well known that finite difference or finite volume total variation diminishing (TVD) schemes solving one-dimensional scalarâ€¦Â (More)

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Highly Cited

2007

Highly Cited

2007

- IEEE Journal of Selected Topics in Signalâ€¦
- 2007

Recently, a lot of attention has been paid to regularization based methods for sparse signal reconstruction (e.g., basis pursuitâ€¦Â (More)

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2004

2004

- SIAM J. Numerical Analysis
- 2004

Much attention has been paid in the literature to total-variation-diminishing (TVD) numerical processes in the solution ofâ€¦Â (More)

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Highly Cited

1998

Highly Cited

1998

- Math. Comput.
- 1998

In this paper we further explore a class of high order TVD (total variation diminishing) Runge-Kutta time discretizationâ€¦Â (More)

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1996

Highly Cited

1996

- 1996

Two versions of ux corrected transport and two versions of total variation diminishing schemes are tested for several one-and twoâ€¦Â (More)

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Highly Cited

1996

Highly Cited

1996

- SIAM J. Scientific Computing
- 1996

Total Variation (TV) methods are very eeective for recovering \blocky", possibly discontinuous, images from noisy data. A xedâ€¦Â (More)

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