Publications

Andreas Stein, and Andrea Barth. A Multilevel Monte Carlo Algorithm for Parabolic Advection : Diffusion Problems with Discontinuous Coefficients. In Bruno Tuffin, and Pierre L'Ecuye (Eds.), Monte Carlo and Quasi-Monte Carlo Methods (MCQMC 2018), (324):445-466, Springer, 2020. [PUMA: abgleich ubs_10008 ubs_20013 ubs_30123 ubs_40192 unibibliografie]

Cedric Aaron Beschle, and Andrea Barth. Quasi continuous level Monte Carlo for random elliptic PDEs. Numerical Analysis, 1-22, Cornell University, 2023. [PUMA: abgleich ubs_10008 ubs_20013 ubs_30123 ubs_40192 unibibliografie]

Andrea Barth, and Andreas Stein. Stochastic Transport with Lévy Noise : Fully Discrete Numerical Approximation. arXiv, 2019. [PUMA: abgleich ubs_10008 ubs_20013 ubs_30123 ubs_40192 unibibliografie]

Lukas Mehl, Cedric Beschle, Andrea Barth, and Andrés Bruhn. An Anisotropic Selection Scheme for Variational Optical Flow Methods with Order-Adaptive Regularisation. In Abderrahim Elmoataz, Jalal Fadili, Yvain Quéau, Julien Rabin, and Loïc Simon (Eds.), Scale Space and Variational Methods in Computer Vision, 12679:140-152, Springer, Cham, 2021. [PUMA: abgleich mult ubs_10005 ubs_10008 ubs_20008 ubs_20013 ubs_30086 ubs_30123 ubs_40127 ubs_40192 unibibliografie]

Lukas Brencher. Analysis of hyperbolic conservation laws with random discontinuous flux functions and their efficient simulation. Stuttgart, 2022. [PUMA: diss oa phsimtech ubs_10008 ubs_20013 ubs_30123 ubs_40192 unibibliografie]

Robin Merkle, and Andrea Barth. On Properties and Applications of Gaussian Subordinated Lévy Fields. Methodology and computing in applied probability, (25):1-33, Springer, 2023. [PUMA: f2023 hybrid oa oafonds transform ubs_10008 ubs_20013 ubs_30123 ubs_40192 unibibliografie]

Andrea Barth. Stochastic Partial Differential Equations: Approximations and Applications. 2009. [PUMA: fis liste ubs_10008 ubs_20013 ubs_30123 ubs_40192] URL

Lukas Brencher, and Andrea Barth. Scalar conservation laws with stochastic discontinuous flux function. 2021. [PUMA: sent ubs_10008 ubs_20013 ubs_30123 ubs_40192 unibibliografie]

Lukas Brencher, and Andrea Barth. Hyperbolic Conservation Laws with Stochastic Discontinuous Flux Functions. In Robert Klöfkorn, Eirik Keilegavlen, Florin A. Radu, and Jürgen Fuhrmann (Eds.), Finite Volumes for Complex Applications IX : Methods, Theoretical Aspects, Examples, 323:265-273, Springer, Cham, 2020. [PUMA: sent ubs_10008 ubs_20013 ubs_30123 ubs_40192 unibibliografie]

Robin Merkle. Subordinated fields and random elliptic partial differential equations. Stuttgart, 2022. [PUMA: diss oa phsimtech ubs_10008 ubs_20013 ubs_30123 ubs_40192 unibibliografie]

David Hägele, Christoph Schulz, Cedric Beschle, Hannah Booth, Miriam Butt, Andrea Barth, Oliver Deussen, and Daniel Weiskopf. Uncertainty visualization : Fundamentals and recent developments. Information technology, (64)4-5:121-132, De Gruyter, 2022. [PUMA: mult oa ubs_10005 ubs_10008 ubs_10017 ubs_20008 ubs_20013 ubs_30086 ubs_30123 ubs_40132 ubs_40192 unibibliografie wos]

Cedric Aaron Beschle, and Balázs Kovács. Stability and error estimates for non-linear Cahn-Hilliard-type equations on evolving surfaces. Numerische Mathematik, (151)1:1–48, Springer, 2022. [PUMA: oa ubs_10008 ubs_20013 ubs_30123 ubs_40192 unibibliografie wos]

Andrea Barth, and Andreas Stein. Numerical analysis for time-dependent advection-diffusion problems with random discontinuous coefficients. Mathematical modelling and numerical analysis, (56)5:1545-1578, EDP Sciences, 2022. [PUMA: oa ubs_10008 ubs_20013 ubs_30123 ubs_40192 unibibliografie wos]

Georg Seifert, Sarah B. Blakeslee, Gabriele Calaminus, Farid Kandil, I, Andrea Barth, Toralf Bernig, Carl Friedrich Classen, Selim Corbacioglu, Jürgen Föll, Sven Gottschling, Bernd Gruhn, Claudia Vom Hoff-Heise, Holger N. Lode, David Martin, Michaela Nathrath, Felix Neunhoeffer, Arnulf Pekrun, Beate Wulff, Tycho Zuzak, Günter Henze, and Alfred Längler. Integrative medicine during the intensive phase of chemotherapy in pediatric oncology in Germany : a randomized controlled trial with 5-year follow up. BMC cancer, (22)1:652, BioMed Central, 2022. [PUMA: oa ubs_10008 ubs_20013 ubs_30123 ubs_40192 unibibliografie wos]

Robin Merkle, and Andrea Barth. On Some Distributional Properties of Subordinated Gaussian Random Fields. Methodology and computing in applied probability, Springer, 2022. [PUMA: mult oa sent ubs_10008 ubs_10021 ubs_20013 ubs_20019 ubs_30123 ubs_30165 ubs_40192 unibibliografie]

Robin Merkle, and Andrea Barth. Subordinated Gaussian random fields in elliptic partial differential equations. Stochastics and partial differential equations, Springer, 2022. [PUMA: oa ubs_10008 ubs_20013 ubs_30123 ubs_40192 unibibliografie wos]

Robin Merkle, and Andrea Barth. Multilevel Monte Carlo estimators for elliptic PDEs with Lévy-type diffusion coefficient. BIT - numerical mathematics, Springer, 2022. [PUMA: oa ubs_10008 ubs_20013 ubs_30123 ubs_40192 unibibliografie wos]

Cedric Beschle, and Andrea Barth. Uncertainty visualization: Fundamentals and recent developments, code to produce data and visuals used in Section 5. 2022. [PUMA: darus mult ubs_10008 ubs_10018 ubs_20013 ubs_20024 ubs_30123 ubs_30200 ubs_40192 unibibliografie]

Lukas Mehl, Cedric Beschle, Andrea Barth, and Andrés Bruhn. Replication Data for: An Anisotropic Selection Scheme for Variational Optical Flow Methods with Order-Adaptive Regularisation. 2022. [PUMA: darus mult ubs_10005 ubs_10008 ubs_10018 ubs_20008 ubs_20013 ubs_20024 ubs_30086 ubs_30123 ubs_30200 ubs_40127 ubs_40192 unibibliografie]

Tobias Junne, Jannik Haas, Jiahui Wang, Simón Moreno, Tobias Naegler, Jens Buchgeister, and Wolfgang Nowak. Considering Ecological Sustainability in Planning the Future Electricity Supply of Chile : How Much More Does it Cost?. International Renewable Energy Storage (IRES) Conference, Deutsches Zentrum für Luft- und Raumfahrt (DLR), 2019. [PUMA: liste mult ubs_10002 ubs_10008 ubs_20002 ubs_20013 ubs_30028 ubs_30123 ubs_30124 ubs_40041 ubs_40192 unibibliografie] URL