# A finite difference scheme for conservation laws driven by Levy noise

@article{Koley2016AFD, title={A finite difference scheme for conservation laws driven by Levy noise}, author={Ujjwal Koley and Ananta K. Majee and Guy Vallet}, journal={arXiv: Analysis of PDEs}, year={2016}, pages={998-1050} }

In this paper, we analyze a semi-discrete finite difference scheme for a conservation laws driven by a homogeneous multiplicative Levy noise. Thanks to BV estimates, we show a compact sequence of approximate solutions, generated by the finite difference scheme, converges to the unique entropy solution of the underlying problem, as the spatial mesh size \Dx-->0. Moreover, we show that the expected value of the L^1-difference between the approximate solution and the unique entropy solution… CONTINUE READING

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## A P ] 3 0 A ug 2 01 7 Convergence of approximations to stochastic scalar conservation laws

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#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 25 REFERENCES

## FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES WITH SINGULAR INITIAL DATA Lp(p

VIEW 5 EXCERPTS

HIGHLY INFLUENTIAL

## Conservation laws with a random source

VIEW 3 EXCERPTS

HIGHLY INFLUENTIAL

## Stochastic balance laws driven by Lévy noise

VIEW 5 EXCERPTS

HIGHLY INFLUENTIAL

## Finite volume schemes for hyperbolic balance laws with multiplicative noise

VIEW 3 EXCERPTS

HIGHLY INFLUENTIAL

## Stochastic scalar conservation laws

VIEW 2 EXCERPTS

HIGHLY INFLUENTIAL

## Hyberbolic [i.e. Hyperbolic] conservation laws in continuum physics

VIEW 2 EXCERPTS

HIGHLY INFLUENTIAL

## Generalized solutions of degenerate second-order quasilinear parabolic and elliptic equations

VIEW 3 EXCERPTS

HIGHLY INFLUENTIAL

## Monotone Difference Approximations for Scalar Conservation Laws.

VIEW 3 EXCERPTS

HIGHLY INFLUENTIAL

## The accuracy of certain approximate methods for the computation of weak solutions of a first order quasilinear equation

VIEW 4 EXCERPTS

HIGHLY INFLUENTIAL