
Learning Dynamics from Noisy Measurements using Deep Learning with a RungeKutta Constraint
Measurement noise is an integral part while collecting data of a physica...
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Learning reduced order models from data for hyperbolic PDEs
Given a set of solution snapshots of a hyperbolic PDE, we are interested...
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NextGen Gas Network Simulation
To overcome manyquery optimization, control, or uncertainty quantificat...
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Discovery of Nonlinear Dynamical Systems using a RungeKutta Inspired Dictionarybased Sparse Regression Approach
Discovering dynamical models to describe underlying dynamical behavior i...
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DataDriven Model Order Reduction for Problems with ParameterDependent JumpDiscontinuities
We propose a datadriven model order reduction (MOR) technique for param...
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InfSupConstantFree State Error Estimator for Model Order Reduction of Parametric Systems in Electromagnetics
A reliable model order reduction process for parametric analysis in elec...
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Stable and Efficient Computation of Generalized Polar Decompositions
We present methods for computing the generalized polar decomposition of ...
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A Training Set Subsampling Strategy for the Reduced Basis Method
We present a subsampling strategy for the offline stage of the Reduced B...
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LQResNet: A Deep Neural Network Architecture for Learning Dynamic Processes
Mathematical modeling is an essential step, for example, to analyze the ...
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Reduced basis method for the nonlinear PoissonBoltzmann equation regularized by the rangeseparated canonical tensor format
The PoissonBoltzmann equation (PBE) is a fundamental implicit solvent c...
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Model Order Reduction for Gas and Energy Networks
To counter the volatile nature of renewable energy sources, gas networks...
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Parallel Algorithms for Tensor Train Arithmetic
We present efficient and scalable parallel algorithms for performing mat...
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Operator Inference and PhysicsInformed Learning of LowDimensional Models for Incompressible Flows
Reducedorder modeling has a long tradition in computational fluid dynam...
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StructurePreserving Model Reduction for Dissipative Mechanical Systems
Suppressing vibrations in mechanical models, usually described by second...
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Machine Learning for Material Characterization with an Application for Predicting Mechanical Properties
Currently, the growth of material data from experiments and simulations ...
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DataDriven Snapshot Calibration via Monotonic Feature Matching
Snapshot matrices of hyperbolic equations have a slow singular value dec...
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A rational EvenIRA algorithm for the solution of Teven polynomial eigenvalue problems
In this work we present a rational Krylov subspace method for solving re...
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Space and ChaosExpansion Galerkin POD Loworder Discretization of PDEs for Uncertainty Quantification
The quantification of multivariate uncertainties in partial differential...
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A Lowrank Method for Parameterdependent Fluidstructure Interaction Discretizations With Hyperelasticity
In aerospace engineering and boat building, fluidstructure interaction ...
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Efficient and Accurate Algorithms for Solving the BetheSalpeter Eigenvalue Problem for Crystalline Systems
Optical properties of materials related to light absorption and scatteri...
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DataDriven Learning of Reducedorder Dynamics for a Parametrized Shallow Water Equation
This paper discusses a nonintrusive datadriven model order reduction m...
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StructurePreserving Interpolation for Model Reduction of Parametric Bilinear Systems
In this paper, we present an interpolation framework for structureprese...
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GR decompositions and their relations to Choleskylike factorizations
For a given matrix, we are interested in computing GR decompositions A=G...
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A linear implicit Euler method for the finite element discretization of a controlled stochastic heat equation
We consider a numerical approximation of a linear quadratic control prob...
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StructurePreserving Interpolation of Bilinear Control Systems
In this paper, we extend the structurepreserving interpolatory model re...
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Convergence Analysis of Extended LOBPCG for Computing Extreme Eigenvalues
This paper is concerned with the convergence analysis of an extended var...
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On Error Estimation for Reducedorder Modeling of Linear Nonparametric and Parametric Systems
Motivated by a recently proposed error estimator for the transfer functi...
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ClusteringBased Model Order Reduction for Nonlinear Network Systems
Clustering by projection has been proposed as a way to preserve network ...
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LowRank and Total Variation Regularization and Its Application to Image Recovery
In this paper, we study the problem of image recovery from given partial...
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On the Solution of the Nonsymmetric TRiccati Equation
The nonsymmetric TRiccati equation is a quadratic matrix equation where...
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Adaptive Interpolatory MOR by Learning the Error Estimator in the Parameter Domain
Interpolatory methods offer a powerful framework for generating reduced...
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Matrix Equations, Sparse Solvers: MM.E.S.S.2.0.1 – Philosophy, Features and Application for (Parametric) Model
Matrix equations are omnipresent in (numerical) linear algebra and syste...
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MORLAB – The Model Order Reduction LABoratory
For an easy use of model order reduction techniques in applications, sof...
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Automatic Decoupling and Indexaware ModelOrder Reduction for Nonlinear DifferentialAlgebraic Equations
We extend the indexaware modelorder reduction method to systems of non...
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Operator inference for nonintrusive model reduction of systems with nonpolynomial nonlinear terms
This work presents a nonintrusive model reduction method to learn lowd...
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Efficient Structurepreserving Support Tensor Train Machine
Deploying the multirelational tensor structure of a high dimensional fe...
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Frequency and TimeLimited Balanced Truncation for LargeScale SecondOrder Systems
Considering the use of dynamical systems in practical applications, ofte...
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High Performance Solution of Skewsymmetric Eigenvalue Problems with Applications in Solving the BetheSalpeter Eigenvalue Problem
We present a highperformance solver for dense skewsymmetric matrix eig...
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A Lowrank Approach for Nonlinear Parameterdependent Fluidstructure Interaction Problems
Parameterdependent discretizations of linear fluidstructure interactio...
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Adaptive Basis Construction and Improved Error Estimation for Parametric Nonlinear Dynamical Systems
An adaptive scheme to generate reducedorder models for parametric nonli...
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Identification of Dominant Subspaces for Linear Structured Parametric Systems and Model Reduction
In this paper, we discuss a novel model reduction framework for generali...
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Invariant Galerkin Ansatz Spaces and DavisonMaki Methods for the Numerical Solution of Differential Riccati Equations
The differential Riccati equation appears in different fields of applied...
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DataDriven Identification of RayleighDamped SecondOrder Systems
In this paper, we present a datadriven approach to identify secondorde...
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An Adaptive Sampling Approach for the Reduced Basis Method
The offline time of the reduced basis method can be very long given a la...
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Gramians, Energy Functionals and Balanced Truncation for Linear Dynamical Systems with Quadratic Outputs
Model order reduction is a technique that is used to construct loworder...
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An Adaptive PoleMatching Method for Interpolating ReducedOrder Models
An adaptive parametric reducedorder modeling method based on interpolat...
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On Reduced InputOutput Dynamic Mode Decomposition
The identification of reducedorder models from highdimensional data is...
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Example Setups of NavierStokes Equations with Control and Observation: Spatial Discretization and Representation via Linearquadratic Matrix Coefficients
We provide spatial discretizations of nonlinear incompressible NavierSt...
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Peter Benner
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