Asymptotic Behavior of the Likelihood Function of Covariance Matrices of Spatial Gaussian Processes. - Ralf Zimmermann 002 (J. Appl. Math., 2010)

Non-linear reduced order models for steady aerodynamics. - Ralf Zimmermann 002; Stefan Görtz (ICCS, 2010)

Gradient-enhanced surrogate modeling based on proper orthogonal decomposition. - Ralf Zimmermann 002 (J. Comput. Appl. Math., 2013)

On the Maximum Likelihood Training of Gradient-Enhanced Spatial Gaussian Processes. - Ralf Zimmermann 002 (SIAM J. Sci. Comput., 2013)

Erratum to "Asymptotic Behavior of the Likelihood Function of Covariance Matrices of Spatial Gaussian Processes". - Ralf Zimmermann 002 (J. Appl. Math., 2014)

A Locally Parametrized Reduced-Order Model for the Linear Frequency Domain Approach to Time-Accurate Computational Fluid Dynamics. - Ralf Zimmermann 002 (SIAM J. Sci. Comput., 2014)

Local Parametrization of Subspaces on Matrix Manifolds via Derivative Information. - Ralf Zimmermann 002 (ENUMATH, 2015)

An Accelerated Greedy Missing Point Estimation Procedure. - Ralf Zimmermann 002; Karen Willcox (SIAM J. Sci. Comput., 2016)

A Matrix-Algebraic Algorithm for the Riemannian Logarithm on the Stiefel Manifold under the Canonical Metric. - Ralf Zimmermann 002 (SIAM J. Matrix Anal. Appl., 2017)

Model reduction of complex dynamical systems - Editorial of the special issue corresponding to a workshop held at SDU Odense, Denmark, January 11-13, 2017. - Peter Benner; Heike Faßbender; Michael Hinze; Tatjana Stykel; Ralf Zimmermann 002 (Adv. Comput. Math., 2018)

Theoretical investigations of the new Cokriging method for variable-fidelity surrogate modeling - Well-posedness and maximum likelihood training. - Anna Bertram; Ralf Zimmermann 002 (Adv. Comput. Math., 2018)

Geometric Subspace Updates with Applications to Online Adaptive Nonlinear Model Reduction. - Ralf Zimmermann 002; Benjamin Peherstorfer; Karen Willcox (SIAM J. Matrix Anal. Appl., 2018)

Hermite Interpolation and Data Processing Errors on Riemannian Matrix Manifolds. - Ralf Zimmermann 002 (SIAM J. Sci. Comput., 2020)

Efficient Quasi-Geodesics on the Stiefel Manifold. - Thomas Bendokat; Ralf Zimmermann 002 (GSI, 2021)

The real symplectic Stiefel and Grassmann manifolds: metrics, geodesics and applications. - Thomas Bendokat; Ralf Zimmermann 002 (CoRR, 2021)

A geometric approach to subspace updates and orthogonal matrix decompositions under rank-one modifications. - Ralf Zimmermann 002 (Math. Comput., 2021)

Computing the Riemannian Logarithm on the Stiefel Manifold: Metrics, Methods, and Performance. - Ralf Zimmermann 002; Knut Hüper (SIAM J. Matrix Anal. Appl., 2022)

Sliced Gradient-Enhanced Kriging for High-Dimensional Function Approximation. - Kai Cheng; Ralf Zimmermann 002 (SIAM J. Sci. Comput., 2023)

Riemannian optimization on the symplectic Stiefel manifold using second-order information. - Rasmus Jensen; Ralf Zimmermann 002 (CoRR, 2024)

Multivariate Hermite Interpolation on Riemannian Manifolds. - Ralf Zimmermann 002; Ronny Bergmann (SIAM J. Sci. Comput., 2024)

A Grassmann manifold handbook: basic geometry and computational aspects. - Thomas Bendokat; Ralf Zimmermann 002; Pierre-Antoine Absil (Adv. Comput. Math., 2024)

Correction: A Grassmann manifold handbook: basic geometry and computational aspects. - Thomas Bendokat; Ralf Zimmermann 002; Pierre-Antoine Absil (Adv. Comput. Math., 2024)

Randomized greedy magic point selection schemes for nonlinear model reduction. - Ralf Zimmermann 002; Kai Cheng (Adv. Comput. Math., 2024)

An Efficient Algorithm for the Riemannian Logarithm on the Stiefel Manifold for a Family of Riemannian Metrics. - Simon Mataigne; Ralf Zimmermann 002; Nina Miolane (SIAM J. Matrix Anal. Appl., 2025)

The Injectivity Radius of the Compact Stiefel Manifold under the Euclidean Metric. - Ralf Zimmermann 002; Jakob Stoye (SIAM J. Matrix Anal. Appl., 2025)

High Curvature Means Low Rank: On the Sectional Curvature of Grassmann and Stiefel Manifolds and the Underlying Matrix Trace Inequalities. - Ralf Zimmermann 002; Jakob Stoye (SIAM J. Matrix Anal. Appl., 2025)

Adaptive Data-Driven Probabilistic Reduced-Order Models for Parameterized Dynamical Systems. - Kai Cheng; Ralf Zimmermann 002 (SIAM J. Sci. Comput., 2025)

Maximum volume coordinates for Grassmann interpolation: Lagrange, Hermite, and errors. - Rasmus Jensen; Ralf Zimmermann 002 (CoRR, 2025)