A Component Based Architecture for Coupling Optimization and Simulation Software in a Distributed Environment. - Markus Krosche; Rainer Niekamp; Hermann G. Matthies (SNPD, 2003)

Application of hierarchical matrices for computing the Karhunen-Loève expansion. - Boris N. Khoromskij; Alexander Litvinenko; Hermann G. Matthies (Computing, 2009)

Parametric and Uncertainty Computations with Tensor Product Representations. - Hermann G. Matthies; Alexander Litvinenko; Oliver Pajonk; Bojana V. Rosic; Elmar Zander (WoCoUQ, 2011)

Wissenschaftliches Rechnen - Scientific Computing. - Hermann G. Matthies (40 Jahre Informatik @ Braunschweig, 2012)

Parameter Identification in a Probabilistic Setting - Bojana V. Rosic; Anna Kucerová; Jan Sykora; Oliver Pajonk; Alexander Litvinenko; Hermann G. Matthies (CoRR, 2012)

Acceleration of uncertainty updating in the description of transport processes in heterogeneous materials. - Anna Kucerová; Jan Sykora; Bojana V. Rosic; Hermann G. Matthies (J. Comput. Appl. Math., 2012)

Sampling-free linear Bayesian update of polynomial chaos representations. - Bojana V. Rosic; Alexander Litvinenko; Oliver Pajonk; Hermann G. Matthies (J. Comput. Phys., 2012)

Sampling-free linear Bayesian updating of model state and parameters using a square root approach. - Oliver Pajonk; Bojana V. Rosic; Hermann G. Matthies (Comput. Geosci., 2013)

Code-coupling strategy for efficient development of computer software in multiscale and multiphysics nonlinear evolution problems in computational mechanics. - Adnan Ibrahimbegovic; Rainer Niekamp; Christophe Kassiotis; Damijan Markovic; Hermann G. Matthies (Adv. Eng. Softw., 2014)

Efficient low-rank approximation of the stochastic Galerkin matrix in tensor formats. - Mike Espig; Wolfgang Hackbusch; Alexander Litvinenko; Hermann G. Matthies; Philipp Wähnert (Comput. Math. Appl., 2014)

To Be or Not to Be Intrusive? The Solution of Parametric and Stochastic Equations - the "Plain Vanilla" Galerkin Case. - Loïc Giraldi; Alexander Litvinenko; Dishi Liu; Hermann G. Matthies; Anthony Nouy (SIAM J. Sci. Comput., 2014)

Pivoted Cholesky decomposition by Cross Approximation for efficient solution of kernel systems. - Dishi Liu; Hermann G. Matthies (CoRR, 2015)

Polynomial Chaos Expansion of Random Coefficients and the Solution of Stochastic Partial Differential Equations in the Tensor Train Format. - Sergey Dolgov; Boris N. Khoromskij; Alexander Litvinenko; Hermann G. Matthies (SIAM/ASA J. Uncertain. Quantification, 2015)

To Be or Not to be Intrusive? The Solution of Parametric and Stochastic Equations - Proper Generalized Decomposition. - Loïc Giraldi; Dishi Liu; Hermann G. Matthies; Anthony Nouy (SIAM J. Sci. Comput., 2015)

Parameter estimation via conditional expectation: a Bayesian inversion. - Hermann G. Matthies; Elmar Zander; Bojana V. Rosic; Alexander Litvinenko (Adv. Model. Simul. Eng. Sci., 2016)

A novel reduced order model for vortex induced vibrations of long flexible cylinders. - Giovanni Stabile; Hermann G. Matthies; Claudio Borri (CoRR, 2018)

Analysis of parametric models. - Hermann G. Matthies; Roger Ohayon (Adv. Comput. Math., 2019)

Tucker Tensor Analysis of Matérn Functions in Spatial Statistics. - Alexander Litvinenko; David E. Keyes; Venera Khoromskaia; Boris N. Khoromskij; Hermann G. Matthies (Comput. Methods Appl. Math., 2019)

Post-Processing of High-Dimensional Data. - Mike Espig; Wolfgang Hackbusch; Alexander Litvinenko; Hermann G. Matthies; Elmar Zander (CoRR, 2019)

Effect of Load Path on Parameter Identification for Plasticity Models using Bayesian Methods. - Ehsan Adeli 002; Bojana V. Rosic; Hermann G. Matthies; Sven Reinstädler (CoRR, 2019)

Parameter Identification in Viscoplasticity using Transitional Markov Chain Monte Carlo Method. - Ehsan Adeli 002; Hermann G. Matthies (CoRR, 2019)

Hybrid evidence-and-fuzzy uncertainty propagation under a dual-level analysis framework. - Chong Wang; Hermann G. Matthies (Fuzzy Sets Syst., 2019)

Accurate Computation of Conditional Expectation for Highly Nonlinear Problems. - Jaroslav Vondrejc; Hermann G. Matthies (SIAM/ASA J. Uncertain. Quantification, 2019)

Novel model calibration method via non-probabilistic interval characterization and Bayesian theory. - Chong Wang; Hermann G. Matthies (Reliab. Eng. Syst. Saf., 2019)

Parametric models analysed with linear maps. - Hermann G. Matthies; Roger Ohayon (Adv. Model. Simul. Eng. Sci., 2020)

Bayesian stochastic multi-scale analysis via energy considerations. - Muhammad S. Sarfaraz; Bojana V. Rosic; Hermann G. Matthies; Adnan Ibrahimbegovic (Adv. Model. Simul. Eng. Sci., 2020)

Stochastic phase-field modeling of brittle fracture: computing multiple crack patterns and their probabilities. - Tymofiy Gerasimov; Ulrich Römer; Jaroslav Vondrejc; Hermann G. Matthies; Laura De Lorenzis (CoRR, 2020)

Crack propagation simulation without crack tracking algorithm: embedded discontinuity formulation with incompatible modes. - A. Stanic; B. Brank; Adnan Ibrahimbegovic; Hermann G. Matthies (CoRR, 2020)

Deep Neural Network-Based Filtering Techniques for Data Assimilation. - Truong-Vinh Hoang; Hermann G. Matthies (ERCIM News, 2020)

Machine-Learning-Based Reduced Order Model for Macro-Scale Stochastic Plasticity. - Emir Karavelic; Hermann G. Matthies; Adnan Ibrahimbegovic (ERCIM News, 2020)

Iterative algorithms for the post-processing of high-dimensional data. - Mike Espig; Wolfgang Hackbusch; Alexander Litvinenko; Hermann G. Matthies; Elmar Zander (J. Comput. Phys., 2020)

Machine learning-based conditional mean filter: a generalization of the ensemble Kalman filter for nonlinear data assimilation. - Truong-Vinh Hoang; Sebastian Krumscheid; Hermann G. Matthies; Raúl Tempone (CoRR, 2021)

Stochastic modelling of symmetric positive-definite material tensors. - Sharana Kumar Shivanand; Bojana Rosic; Hermann G. Matthies (CoRR, 2021)

Computing f-Divergences and Distances of High-Dimensional Probability Density Functions - Low-Rank Tensor Approximations. - Alexander Litvinenko; Youssef M. Marzouk; Hermann G. Matthies; Marco Scavino; Alessio Spantini (CoRR, 2021)

Coupled fuzzy-interval model and method for structural response analysis with non-probabilistic hybrid uncertainties. - Chong Wang; Hermann G. Matthies (Fuzzy Sets Syst., 2021)

Computing f -divergences and distances of high-dimensional probability density functions. - Alexander Litvinenko; Youssef M. Marzouk; Hermann G. Matthies; Marco Scavino; Alessio Spantini (Numer. Linear Algebra Appl., 2023)

Stochastic Modelling of Elasticity Tensors. - Sharana Kumar Shivanand; Bojana V. Rosic; Hermann G. Matthies (CoRR, 2024)

Reduced Order Models and Conditional Expectation. - Hermann G. Matthies (CoRR, 2024)

Stochastic modelling of symmetric positive definite material tensors. - Sharana Kumar Shivanand; Bojana V. Rosic; Hermann G. Matthies (J. Comput. Phys., 2024)

A mathematical model for a universal digital quantum computer with an application to the Grover-Rudolph algorithm. - Antonio Falcó; Daniela Falcó-Pomares; Hermann G. Matthies (CoRR, 2025)