Edit Profile (opens in new tab) Litvinenko, Alexander Co-Author Distance Author ID: litvinenko.alexander Published as: Litvinenko, Alexander; Litvinenko, A. External Links: ORCID Documents Indexed: 35 Publications since 2006, including 1 Book and 13 Additional arXiv Preprints Co-Authors: 31 Co-Authors with 28 Joint Publications 1,237 Co-Co-Authors all top 5 Co-Authors 4 single-authored 17 Matthies, Hermann Georg 6 Khoromskiĭ, Boris Nikolaevich 6 Rosić, Bojana V. 5 Zander, Elmar K. 4 Keyes, David Elliot 4 Pajonk, Oliver 4 Tempone, Raúl F. 3 Dolgov, Sergey V. 3 Liu, Dishi 3 Logashenko, Dmitry 3 Wittum, Gabriel 2 Berikov, Vladimir Borisovich 2 Espig, Mike 2 Hackbusch, Wolfgang 2 Marzouk, Youssef M. 2 Scavino, Marco 2 Spantini, Alessio 1 Aboltins, Aivars 1 Bağci, Hakan 1 Capligins, F. 1 El Moselhy, Tarek A. 1 Genton, Marc G. 1 Giraldi, Loïc 1 Glybovets’, Mykola M. 1 Khoromskaia, Venera 1 Kriemann, Ronald 1 Kucherov, D. 1 Michielssen, Eric 1 Nouy, Anthony 1 Oppelstrup, Jesper 1 Pikulins, Dmitrijs 1 Schillings, Claudia 1 Schulz, Volker H. 1 Sun, Ying 1 Wähnert, Philipp 1 Yücel, Abdulkadir C. all top 5 Serials 2 Journal of Computational Physics 2 Cybernetics and Systems Analysis 2 SIAM/ASA Journal on Uncertainty Quantification 1 Computers & Mathematics with Applications 1 Computing 1 Physica D 1 Computational Statistics and Data Analysis 1 SIAM Journal on Scientific Computing 1 Numerical Linear Algebra with Applications 1 Computational Methods in Applied Mathematics 1 Mathematical Geosciences 1 GEM - International Journal on Geomathematics all top 5 Fields 23 Numerical analysis (65-XX) 14 Probability theory and stochastic processes (60-XX) 10 Partial differential equations (35-XX) 10 Statistics (62-XX) 5 Fluid mechanics (76-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Computer science (68-XX) 3 Information and communication theory, circuits (94-XX) 2 Approximations and expansions (41-XX) 2 Geophysics (86-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 19 Publications have been cited 209 times in 129 Documents Cited by ▼ Year ▼ Polynomial chaos expansion of random coefficients and the solution of stochastic partial differential equations in the tensor train format. Zbl 1329.65271 Dolgov, Sergey; Khoromskij, Boris N.; Litvinenko, Alexander; Matthies, Hermann G. 39 2015 Application of hierarchical matrices for computing the Karhunen-Loève expansion. Zbl 1162.65306 Khoromskij, B. N.; Litvinenko, A.; Matthies, H. G. 29 2009 Efficient low-rank approximation of the stochastic Galerkin matrix in tensor formats. Zbl 1350.65005 Espig, Mike; Hackbusch, Wolfgang; Litvinenko, Alexander; Matthies, Hermann G.; Wähnert, Philipp 28 2014 Sampling-free linear Bayesian update of polynomial chaos representations. Zbl 1277.60114 Rosić, Bojana V.; Litvinenko, Alexander; Pajonk, Oliver; Matthies, Hermann G. 21 2012 To be or not to be intrusive? The solution of parametric and stochastic equations – the “plain vanilla” Galerkin case. Zbl 1310.65132 Giraldi, Loïc; Litvinenko, Alexander; Liu, Dishi; Matthies, Hermann G.; Nouy, Anthony 20 2014 A deterministic filter for non-Gaussian Bayesian estimation – Applications to dynamical system estimation with noisy measurements. Zbl 1237.62129 Pajonk, Oliver; Rosić, Bojana V.; Litvinenko, Alexander; Matthies, Hermann G. 17 2012 Likelihood approximation with hierarchical matrices for large spatial datasets. Zbl 1507.62110 Litvinenko, Alexander; Sun, Ying; Genton, Marc G.; Keyes, David E. 11 2019 Quantification of airfoil geometry-induced aerodynamic uncertainties – comparison of approaches. Zbl 06736506 Liu, Dishi; Litvinenko, Alexander; Schillings, Claudia; Schulz, Volker 9 2017 Parametric and uncertainty computations with tensor product representations. Zbl 1256.65004 Matthies, Hermann G.; Litvinenko, Alexander; Pajonk, Oliver; Rosić, Bojana V.; Zander, Elmar 9 2012 Sampling and low-rank tensor approximation of the response surface. Zbl 1302.65030 Litvinenko, Alexander; Matthies, Hermann G.; El-Moselhy, Tarek A. 8 2013 Kriging and spatial design accelerated by orders of magnitude: combining low-rank covariance approximations with FFT-techniques. Zbl 1321.86027 Nowak, W.; Litvinenko, A. 7 2013 Iterative algorithms for the post-processing of high-dimensional data. Zbl 1436.65054 Espig, Mike; Hackbusch, Wolfgang; Litvinenko, Alexander; Matthies, Hermann G.; Zander, Elmar 6 2020 Tucker tensor analysis of Matérn functions in spatial statistics. Zbl 1420.60084 Litvinenko, Alexander; Keyes, David; Khoromskaia, Venera; Khoromskij, Boris N.; Matthies, Hermann G. 4 2019 Data sparse computation of the Karhunen-Loève expansion. Zbl 1167.65326 Khoromskij, B. N.; Litvinenko, A. 4 2008 Propagation of uncertainties in density-driven flow. Zbl 1497.76097 Litvinenko, Alexander; Logashenko, Dmitry; Tempone, Raul; Wittum, Gabriel; Keyes, David 1 2021 Solution of the 3D density-driven groundwater flow problem with uncertain porosity and permeability. Zbl 1434.76016 Litvinenko, Alexander; Logashenko, Dmitry; Tempone, Raul; Wittum, Gabriel; Keyes, David 1 2020 Application of hierarchical matrices for solving multiscale problems. Zbl 1127.65091 Litvinenko, Alexander 1 2006 Domain decomposition based \(\mathcal{H}\)-matrix preconditioners for the skin prolem. Zbl 1140.65370 Khoromskij, Boris N.; Litvinenko, Alexander 1 2008 Algorithms for solution inference based on unified logical control models. Zbl 1464.68387 Litvinenko, A. 1 2020 Propagation of uncertainties in density-driven flow. Zbl 1497.76097 Litvinenko, Alexander; Logashenko, Dmitry; Tempone, Raul; Wittum, Gabriel; Keyes, David 1 2021 Iterative algorithms for the post-processing of high-dimensional data. Zbl 1436.65054 Espig, Mike; Hackbusch, Wolfgang; Litvinenko, Alexander; Matthies, Hermann G.; Zander, Elmar 6 2020 Solution of the 3D density-driven groundwater flow problem with uncertain porosity and permeability. Zbl 1434.76016 Litvinenko, Alexander; Logashenko, Dmitry; Tempone, Raul; Wittum, Gabriel; Keyes, David 1 2020 Algorithms for solution inference based on unified logical control models. Zbl 1464.68387 Litvinenko, A. 1 2020 Likelihood approximation with hierarchical matrices for large spatial datasets. Zbl 1507.62110 Litvinenko, Alexander; Sun, Ying; Genton, Marc G.; Keyes, David E. 11 2019 Tucker tensor analysis of Matérn functions in spatial statistics. Zbl 1420.60084 Litvinenko, Alexander; Keyes, David; Khoromskaia, Venera; Khoromskij, Boris N.; Matthies, Hermann G. 4 2019 Quantification of airfoil geometry-induced aerodynamic uncertainties – comparison of approaches. Zbl 06736506 Liu, Dishi; Litvinenko, Alexander; Schillings, Claudia; Schulz, Volker 9 2017 Polynomial chaos expansion of random coefficients and the solution of stochastic partial differential equations in the tensor train format. Zbl 1329.65271 Dolgov, Sergey; Khoromskij, Boris N.; Litvinenko, Alexander; Matthies, Hermann G. 39 2015 Efficient low-rank approximation of the stochastic Galerkin matrix in tensor formats. Zbl 1350.65005 Espig, Mike; Hackbusch, Wolfgang; Litvinenko, Alexander; Matthies, Hermann G.; Wähnert, Philipp 28 2014 To be or not to be intrusive? The solution of parametric and stochastic equations – the “plain vanilla” Galerkin case. Zbl 1310.65132 Giraldi, Loïc; Litvinenko, Alexander; Liu, Dishi; Matthies, Hermann G.; Nouy, Anthony 20 2014 Sampling and low-rank tensor approximation of the response surface. Zbl 1302.65030 Litvinenko, Alexander; Matthies, Hermann G.; El-Moselhy, Tarek A. 8 2013 Kriging and spatial design accelerated by orders of magnitude: combining low-rank covariance approximations with FFT-techniques. Zbl 1321.86027 Nowak, W.; Litvinenko, A. 7 2013 Sampling-free linear Bayesian update of polynomial chaos representations. Zbl 1277.60114 Rosić, Bojana V.; Litvinenko, Alexander; Pajonk, Oliver; Matthies, Hermann G. 21 2012 A deterministic filter for non-Gaussian Bayesian estimation – Applications to dynamical system estimation with noisy measurements. Zbl 1237.62129 Pajonk, Oliver; Rosić, Bojana V.; Litvinenko, Alexander; Matthies, Hermann G. 17 2012 Parametric and uncertainty computations with tensor product representations. Zbl 1256.65004 Matthies, Hermann G.; Litvinenko, Alexander; Pajonk, Oliver; Rosić, Bojana V.; Zander, Elmar 9 2012 Application of hierarchical matrices for computing the Karhunen-Loève expansion. Zbl 1162.65306 Khoromskij, B. N.; Litvinenko, A.; Matthies, H. G. 29 2009 Data sparse computation of the Karhunen-Loève expansion. Zbl 1167.65326 Khoromskij, B. N.; Litvinenko, A. 4 2008 Domain decomposition based \(\mathcal{H}\)-matrix preconditioners for the skin prolem. Zbl 1140.65370 Khoromskij, Boris N.; Litvinenko, Alexander 1 2008 Application of hierarchical matrices for solving multiscale problems. Zbl 1127.65091 Litvinenko, Alexander 1 2006 all cited Publications top 5 cited Publications all top 5 Cited by 290 Authors 16 Matthies, Hermann Georg 9 Litvinenko, Alexander 8 Eigel, Martin 8 Rosić, Bojana V. 7 Khoromskiĭ, Boris Nikolaevich 6 Tempone, Raúl F. 5 Keyes, David Elliot 4 Dolgov, Sergey V. 4 Grasedyck, Lars 4 Nouy, Anthony 4 Schneider, Reinhold 3 Anitescu, Mihai 3 Khoromskaia, Venera 3 Kressner, Daniel 3 Law, Kody J. H. 3 Liu, Dishi 3 Marschall, Manuel 3 Papaioannou, Iason 3 Pivovarov, Dmytro 3 Scheichl, Robert 3 Soize, Christian 3 Steinmann, Paul 3 Straub, Daniel 3 Sýkora, Jan 2 Ballani, Jonas 2 Bordas, Stéphane Pierre Alain 2 Challenor, Peter G. 2 Chernov, Alexey 2 Cui, Tiangang 2 de Lorenzis, Laura 2 Ernst, Oliver G. 2 Feischl, Michael 2 Genton, Marc G. 2 Geoga, Christopher J. 2 Ghanem, Roger G. 2 Giraldi, Loïc 2 Guinness, Joseph 2 Hackbusch, Wolfgang 2 Hale, Jack S. 2 Hauseux, Paul 2 Ibrahimbegović, Adnan 2 Jiang, Lijian 2 Kuo, Frances Y. 2 Lin, Guang 2 Logashenko, Dmitry 2 Marzouk, Youssef M. 2 Multerer, Michael D. 2 Nourbakhsh, Ahmad 2 Pajonk, Oliver 2 Pfeffer, Max 2 Raisee, Mehrdad 2 Ren, Lanlan 2 Saibaba, Arvind Krishna 2 Schillings, Claudia 2 Schulz, Volker H. 2 Sloan, Ian Hugh 2 Sprungk, Björn 2 Starkloff, Hans-Jörg 2 Stein, Michael L. 2 Sun, Ying 2 Ullmann, Elisabeth 2 Vondřejc, Jaroslav 2 Wang, Yuepeng 2 Wittum, Gabriel 1 Abdulah, Sameh 1 Acosta, Jonathan 1 Adeli, Ehsan 1 Adhikari, Sondipon 1 Alegria, Alfredo 1 Allaix, Diego Lorenzo 1 Ambikasaran, Sivaram 1 Ao, Dan 1 Arnst, Maarten 1 Ba, Yuming 1 Bal, Guillaume 1 Ballester-Ripoll, Rafael 1 Barajas-Solano, David A. 1 Bardsley, Johnathan M. 1 Beck, Joakim 1 Beckman, Paul G. 1 Benner, Peter 1 Béreš, Michal 1 Bespalov, Alexei 1 Betz, Wolfgang 1 Biehler, Jonas 1 Bierbooms, Wim 1 Bigoni, Daniele 1 Brumme, Stephan 1 Cabral, Pedro Higino 1 Carbone, Vincenzo Ilario 1 Cervantes, Michel J. 1 Chang, Shih Yu 1 Chaudhuri, Abhijit 1 Chen, Jiangtao 1 Chen, YiAn 1 Choi, Heesun 1 Çiloğlu, Pelin 1 Class, Holger 1 Correnty, Siobhán 1 Cotin, Stephane ...and 190 more Authors all top 5 Cited in 45 Serials 22 SIAM/ASA Journal on Uncertainty Quantification 18 Computer Methods in Applied Mechanics and Engineering 12 SIAM Journal on Scientific Computing 10 Journal of Computational Physics 4 International Journal for Numerical Methods in Engineering 4 Numerische Mathematik 3 Computers and Fluids 3 Computational Mechanics 3 Computational Methods in Applied Mathematics 2 Computers & Mathematics with Applications 2 Inverse Problems 2 SIAM Journal on Numerical Analysis 2 Applied Mathematical Modelling 2 Computational Statistics and Data Analysis 2 GAMM-Mitteilungen 2 Journal of Agricultural, Biological, and Environmental Statistics 2 Statistics and Computing 1 Computer Physics Communications 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 Journal of Multivariate Analysis 1 Physica D 1 Applied Numerical Mathematics 1 Asia-Pacific Journal of Operational Research 1 SIAM Journal on Matrix Analysis and Applications 1 Applications of Mathematics 1 Computational Mathematics and Mathematical Physics 1 SIAM Journal on Optimization 1 Numerical Linear Algebra with Applications 1 Advances in Computational Mathematics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Computational Geosciences 1 Archives of Computational Methods in Engineering 1 Multiscale Modeling & Simulation 1 International Journal of Computational Methods 1 Acta Numerica 1 Oberwolfach Reports 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Mathematical Geosciences 1 Advances in Applied Mathematics and Mechanics 1 GEM - International Journal on Geomathematics 1 Journal of Computational and Graphical Statistics 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys all top 5 Cited in 30 Fields 97 Numerical analysis (65-XX) 43 Probability theory and stochastic processes (60-XX) 32 Statistics (62-XX) 26 Partial differential equations (35-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 15 Mechanics of deformable solids (74-XX) 10 Fluid mechanics (76-XX) 5 Approximations and expansions (41-XX) 5 Operator theory (47-XX) 5 Systems theory; control (93-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Geophysics (86-XX) 4 Operations research, mathematical programming (90-XX) 4 Biology and other natural sciences (92-XX) 3 General and overarching topics; collections (00-XX) 3 Integral equations (45-XX) 2 Computer science (68-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year