A Multilevel Monte Carlo Algorithm for Parabolic Advection-Diffusion Problems with Discontinuous Coefficients

Author:

Stein Andreas,Barth Andrea

Publisher

Springer International Publishing

Reference24 articles.

1. Abdulle, A., Barth, A., Schwab, C.: Multilevel Monte Carlo methods for stochastic elliptic multiscale PDEs. Multiscale Model. Simul. 11(4), 1033–1070 (2013). SIAM

2. Adams, R., Fournier, J.: Sobolev Spaces, 2nd edn. Elsevier, Amsterdam (2003)

3. Barth, A., Schwab, C., Zollinger, N.: Multi-level Monte Carlo finite element method for elliptic PDEs with stochastic coefficients. Numer. Math. 119(1), 123–161 (2011). Springer

4. Barth, A., Stein, A.: Approximation and simulation of infinite-dimensional Lévy processes. Stoch. Partial Differ. Equ. 6(2), 286–334 (2018). Springer

5. Barth, A., Stein, A.: A study of elliptic partial differential equations with jump-diffusion coefficients. SIAM/ASA J. Uncertain. Quantif. 6(4), 1707-1743 (2018). SIAM

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1. Subordinated Gaussian random fields in elliptic partial differential equations;Stochastics and Partial Differential Equations: Analysis and Computations;2022-03-18

2. Multilevel Monte Carlo estimators for elliptic PDEs with Lévy-type diffusion coefficient;BIT Numerical Mathematics;2022-03-01

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