4 papers
Learning solutions of parameterized stiff ODEs using Gaussian processes
Idoia Cortes Garcia, P. Förster, W. Schilders +1
Stiff ordinary differential equations (ODEs) play an important role in many scientific and engineering applications. Often, the dependence of the solution of the ODE on additional…
Generalizing Reduced Rank Extrapolation to Low-Rank Matrix Sequences
Pascal den Boef, Patrick Kürschner, Xiaobo Liu +5
Reduced rank extrapolation (RRE) is an acceleration method typically used to accelerate the iterative solution of nonlinear systems of equations using a fixed-point process. In thi…
Stable Sparse Operator Inference for Nonlinear Structural Dynamics
Pascal den Boef, Diana Manvelyan, Joseph Maubach +2
Structural dynamics models with nonlinear stiffness appear, for example, when analyzing systems with nonlinear material behavior or undergoing large deformations. For complex syste…
Systematic construction of continuous-time neural networks for linear dynamical systems
Chinmay Datar, Adwait Datar, Felix Dietrich +1
Discovering a suitable neural network architecture for modeling complex dynamical systems poses a formidable challenge, often involving extensive trial and error and navigation thr…