Claude Jeffrey Gittelson

Selected Presentations

Merits of high-order spatial discretization for random PDE, January 2013 in Oberwolfach, Germany.

Adaptive stochastic Galerkin methods at the SIAM Coference on UQ, April 2012 in Raleigh, NC, USA. Recording

Multilevel Monte Carlo at Foundations of Computational Mathematics, July 2011 in Budapest, Hungary.

Adaptive stochastic Galerkin methods, Ph.D. Thesis defense, February 2011 in Zurich, Switzerland.

Journal Articles

M. Eigel, C.J. Gittelson, Ch. Schwab and E. Zander. Adaptive stochastic Galerkin FEM. SAM Report 2013-1. Submitted.

C.J. Gittelson and R. Hiptmair. Dispersion analysis of plane wave discontinuous Galerkin Methods. SAM Report 2012-42. Submitted.

C.J. Gittelson. High-order methods as an alternative to sparse tensor products for stochastic Galerkin FEM. Submitted.

C.J. Gittelson. Convergence rates of multilevel and sparse tensor approximations for a random elliptic PDE. Submitted.

C.J. Gittelson. Adaptive wavelet methods for elliptic partial differential equations with random operators. SAM Report 2011-37. Submitted.

C.J. Gittelson, J. Könnö, Ch. Schwab and R. Stenberg. The multi-level Monte Carlo Finite Element Method for a stochastic Brinkman problem. SAM Report 2011-31. Accepted in Numerische Mathematik.

Ch. Schwab and C.J. Gittelson. Sparse tensor discretization of high-dimensional parametric and stochastic PDEs. Acta Numerica, vol. 20, 2011.

C.J. Gittelson. Uniformly convergent adaptive methods for a class of parametric operator equations. ESIAM: Mathematical Modelling and Numerical Analysis, 46(6):1485-1508, 2012

C.J. Gittelson. Adaptive stochastic Galerkin methods: Beyond the elliptic case. SAM Report 2011-12.

C.J. Gittelson. An adaptive stochastic Galerkin method. SAM Report 2011-11. Accepted.

C.J. Gittelson. Stochastic Galerkin approximation of operator equations with infinite dimensional noise. SAM Report 2011-10.

C.J. Gittelson. Representation of Gaussian fields in series with independent coefficients. IMA Journal of Numerical Analysis, 2011.

C.J. Gittelson. Stochastic Galerkin discretization of the log-normal isotropic diffusion problem. Mathematical Models and Methods in Applied Sciences, 20(2):237-263, 2010.

C.J. Gittelson, R. Hiptmair and I. Perugia. Plane wave discontinuous Galerkin methods: Analysis of the h-version. Mathematical Modelling and Numerical Analysis, 43(2):287-331, 2009.

Theses

C.J. Gittelson. Adaptive Galerkin methods for parametric and stochastic operator equations. Ph.D. Thesis, ETH Zürich, 2011.

C.J. Gittelson. Plane wave discontinuous Galerkin methods. Master's thesis, ETH Zürich, 2008.

C.J. Gittelson. Non-equidistant approximate DFT based on Z-splines. Bachelor's thesis, ETH Zürich, 2006.