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of 5 245
pro vyhledávání: '"Bortz A"'
We study the operator \[ \partial_t - \text{div} A \nabla + B \cdot \nabla \] in parabolic upper-half-space, where $A$ is an elliptic matrix satisfying an oscillation condition and $B$ is a singular drift with a Carleson control. Our main result esta
Externí odkaz:
http://arxiv.org/abs/2412.09301
Autor:
Bubel, Martin, Schmid, Jochen, Carmesin, Maximilian, Kozachynskyi, Volodymyr, Esche, Erik, Bortz, Michael
Calibrating model parameters to measured data by minimizing loss functions is an important step in obtaining realistic predictions from model-based approaches, e.g., for process optimization. This is applicable to both knowledge-driven and data-drive
Externí odkaz:
http://arxiv.org/abs/2409.08756
The weak form is a ubiquitous, well-studied, and widely-utilized mathematical tool in modern computational and applied mathematics. In this work we provide a survey of both the history and recent developments for several fields in which the weak form
Externí odkaz:
http://arxiv.org/abs/2409.06751
The parametric greedy latent space dynamics identification (gLaSDI) framework has demonstrated promising potential for accurate and efficient modeling of high-dimensional nonlinear physical systems. However, it remains challenging to handle noisy dat
Externí odkaz:
http://arxiv.org/abs/2407.00337
We develop adaptive discretization algorithms for locally optimal experimental design of nonlinear prediction models. With these algorithms, we refine and improve a pertinent state-of-the-art algorithm in various respects. We establish novel terminat
Externí odkaz:
http://arxiv.org/abs/2406.01541
Autor:
BORTZ, DANIEL (AUTHOR) feedback@kiplinger.com
Publikováno v:
Kiplinger Personal Finance. Oct2024, Vol. 78 Issue 10, p42-47. 6p. 4 Color Photographs, 1 Chart.
Autor:
Bonneville, Christophe, He, Xiaolong, Tran, April, Park, Jun Sur, Fries, William, Messenger, Daniel A., Cheung, Siu Wun, Shin, Yeonjong, Bortz, David M., Ghosh, Debojyoti, Chen, Jiun-Shyan, Belof, Jonathan, Choi, Youngsoo
Numerical solvers of partial differential equations (PDEs) have been widely employed for simulating physical systems. However, the computational cost remains a major bottleneck in various scientific and engineering applications, which has motivated t
Externí odkaz:
http://arxiv.org/abs/2403.10748
We propose a general methodology of sequential locally optimal design of experiments for explicit or implicit nonlinear models, as they abound in chemical engineering and, in particular, in vapor-liquid equilibrium modeling. As a sequential design me
Externí odkaz:
http://arxiv.org/abs/2403.09443
Current quantum computers can only solve optimization problems of a very limited size. For larger problems, decomposition methods are required in which the original problem is broken down into several smaller sub-problems. These are then solved on th
Externí odkaz:
http://arxiv.org/abs/2312.08940
Data-driven methods of model identification are able to discern governing dynamics of a system from data. Such methods are well suited to help us learn about systems with unpredictable evolution or systems with ambiguous governing dynamics given our
Externí odkaz:
http://arxiv.org/abs/2312.05339