Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Stochastic collocation and stochastic Galerkin methods for linear differential algebraic equations

Roland Pulch
Journal of Computational and Applied Mathematics 262 281 (2014)
https://doi.org/10.1016/j.cam.2013.10.046

Random field representations for stochastic elliptic boundary value problems and statistical inverse problems

A. NOUY and C. SOIZE
European Journal of Applied Mathematics 25 (3) 339 (2014)
https://doi.org/10.1017/S0956792514000072

Long-time uncertainty propagation using generalized polynomial chaos and flow map composition

Dirk M. Luchtenburg, Steven L. Brunton and Clarence W. Rowley
Journal of Computational Physics 274 783 (2014)
https://doi.org/10.1016/j.jcp.2014.06.029

On the convergence of the stochastic Galerkin method for random elliptic partial differential equations

Antje Mugler and Hans-Jörg Starkloff
ESAIM: Mathematical Modelling and Numerical Analysis 47 (5) 1237 (2013)
https://doi.org/10.1051/m2an/2013066

Wick–Malliavin approximation to nonlinear stochastic partial differential equations: analysis and simulations

D. Venturi, X. Wan, R. Mikulevicius, B. L. Rozovskii and G. E. Karniadakis
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 469 (2158) 20130001 (2013)
https://doi.org/10.1098/rspa.2013.0001

Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces

G. Migliorati, F. Nobile, E. von Schwerin and R. Tempone
SIAM Journal on Scientific Computing 35 (3) A1440 (2013)
https://doi.org/10.1137/120897109

Constructing Nested Nodal Sets for Multivariate Polynomial Interpolation

Akil Narayan and Dongbin Xiu
SIAM Journal on Scientific Computing 35 (5) A2293 (2013)
https://doi.org/10.1137/12089613X

On stability and monotonicity requirements of finite difference approximations of stochastic conservation laws with random viscosity

Per Pettersson, Alireza Doostan and Jan Nordström
Computer Methods in Applied Mechanics and Engineering 258 134 (2013)
https://doi.org/10.1016/j.cma.2013.02.009

Uncertainty quantification of reaction mechanisms accounting for correlations introduced by rate rules and fitted Arrhenius parameters

Jens Prager, Habib N. Najm, Khachik Sargsyan, Cosmin Safta and William J. Pitz
Combustion and Flame 160 (9) 1583 (2013)
https://doi.org/10.1016/j.combustflame.2013.01.008

Ambrosio-Tortorelli Segmentation of Stochastic Images: Model Extensions, Theoretical Investigations and Numerical Methods

Torben Pätz, Robert M. Kirby and Tobias Preusser
International Journal of Computer Vision 103 (2) 190 (2013)
https://doi.org/10.1007/s11263-012-0578-8

Global sensitivity analysis of the impact of impurities on CO2 pipeline failure

S. Brown, J. Beck, H. Mahgerefteh and E.S. Fraga
Reliability Engineering & System Safety 115 43 (2013)
https://doi.org/10.1016/j.ress.2013.02.006

Adaptive Smolyak Pseudospectral Approximations

Patrick R. Conrad and Youssef M. Marzouk
SIAM Journal on Scientific Computing 35 (6) A2643 (2013)
https://doi.org/10.1137/120890715

High order approximation of probabilistic shock profiles in hyperbolic conservation laws with uncertain initial data

Christoph Schwab and Svetlana Tokareva
ESAIM: Mathematical Modelling and Numerical Analysis 47 (3) 807 (2013)
https://doi.org/10.1051/m2an/2012060

An accuracy comparison of polynomial chaos type methods for the propagation of uncertainties

Florian Augustin, Albert Gilg, Meinhard Paffrath, et al.
Journal of Mathematics in Industry 3 (1) 2 (2013)
https://doi.org/10.1186/2190-5983-3-2

Stochastic Collocation Methods on Unstructured Grids in High Dimensions via Interpolation

Akil Narayan and Dongbin Xiu
SIAM Journal on Scientific Computing 34 (3) A1729 (2012)
https://doi.org/10.1137/110854059

Adaptive wavelet methods for the stochastic Poisson equation

Petru A. Cioica, Stephan Dahlke, Nicolas Döhring, et al.
BIT Numerical Mathematics 52 (3) 589 (2012)
https://doi.org/10.1007/s10543-011-0368-7

Error analysis of generalized polynomial chaos for nonlinear random ordinary differential equations

Wenjie Shi and Chengjian Zhang
Applied Numerical Mathematics 62 (12) 1954 (2012)
https://doi.org/10.1016/j.apnum.2012.08.007

Measure transformation and efficient quadrature in reduced‐dimensional stochastic modeling of coupled problems

M. Arnst, R. Ghanem, E. Phipps and J. Red‐Horse
International Journal for Numerical Methods in Engineering 92 (12) 1044 (2012)
https://doi.org/10.1002/nme.4368

ON THE OPTIMAL POLYNOMIAL APPROXIMATION OF STOCHASTIC PDES BY GALERKIN AND COLLOCATION METHODS

JOAKIM BECK, RAUL TEMPONE, FABIO NOBILE and LORENZO TAMELLINI
Mathematical Models and Methods in Applied Sciences 22 (09) (2012)
https://doi.org/10.1142/S0218202512500236

Data-driven uncertainty quantification using the arbitrary polynomial chaos expansion

S. Oladyshkin and W. Nowak
Reliability Engineering & System Safety 106 179 (2012)
https://doi.org/10.1016/j.ress.2012.05.002

Efficient Iterative Solvers for Stochastic Galerkin Discretizations of Log-Transformed Random Diffusion Problems

Elisabeth Ullmann, Howard C. Elman and Oliver G. Ernst
SIAM Journal on Scientific Computing 34 (2) A659 (2012)
https://doi.org/10.1137/110836675