3 citations · 5 across the 5 of their papers we have counts for
5 papers
Error analysis of an implicit-explicit time discretization scheme for semilinear wave equations with application to multiscale problems
Daniel Eckhardt, Marlis Hochbruck, Barbara Verfürth
We present an implicit-explicit (IMEX) scheme for semilinear wave equations with strong damping. By treating the nonlinear, nonstiff term explicitly and the linear, stiff part impl…
Fully discrete Heterogeneous Multiscale Method for parabolic problems with multiple spatial and temporal scales
Daniel Eckhardt, Barbara Verfürth
The aim of this work is the numerical homogenization of a parabolic problem with several time and spatial scales using the heterogeneous multiscale method. We replace the actual ce…
An Unstructured Mesh Approach to Nonlinear Noise Reduction for Coupled Systems
Aaron Kirtland, Jonah Botvinick-Greenhouse, Marianne DeBrito +5
To address noise inherent in electronic data acquisition systems and real world sources, Araki et al. [Physica D: Nonlinear Phenomena, 417 (2021) 132819] demonstrated a grid based…
Parameter Inference of Time Series by Delay Embeddings and Learning Differentiable Operators
Alex Tong Lin, Adrian S. Wong, Robert Martin +2
We provide a method to identify system parameters of dynamical systems, called ID-ODE -- Inference by Differentiation and Observing Delay Embeddings. In this setting, we are given…
Impact of Embedding View on Cross Mapping Convergence
Robert Martin, Justin Koo, Daniel Eckhardt
Convergent cross mapping (CCM) provides a powerful technique for exploring causal relationships in nonlinear coupled systems. The method relies on Takens' theorem exploiting that t…