Engineering Papers⌕ Search
Home/Archive/DOE OSTI

DOE OSTI · 1078547

Modularity and adaptability

Banks, J. W.
View original source ↗Read source document ↗Export metadata ↓

Abstract

The primary question I am addressing is how to construct simulation tools, in this case pri marily PDE simulations, that can be made to efficiently use a future computer whose construction and parameters are not known exactly, but whose general construction can be inferred from current prevailing hardware trends. These trends inform our best estimates of the likely composition of such a next generation machine, and the outlook is that the computers of the future will be highly het erogenous, will penalize excessive communication (particularly with far away pieces of the machine), can likely be tuned to trade pure speed for reliability, and may experience frequent disruptions. In such an environment, my position as to what mathematical research should be performed to aid in this endeavor can be summed up as a need to stress the following points: • Increased modularity of the simulation tool, • Retention of original problem definition as much as possible, and • Provide and analyze flexible alternatives.

Explore related subjects

97 MATHEMATICS AND COMPUTING

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Banks, J. W.. 2013-04-22. Modularity and adaptability. https://doi.org/10.2172/1078547

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related reports

DOE OSTI2026

TANTE: Time-adaptive operator learning via neural Taylor expansion

Operator learning for time-dependent partial differential equations (PDEs) has seen rapid progress in recent years, enabling efficient approximation of complex spatiotemporal dynamics. However, most existing methods rely on fixed time step sizes during rollout, which limits their ability to adapt to varying temporal complexity and often leads to error accumulation. In this work, we propose the Time-Adaptive Transformer with Neural Taylor Expansion (TANTE), a novel operator-learning framework that produces continuous-time predictions with adaptive step sizes. TANTE predicts future states by performing a Taylor expansion at the current state, where neural networks learn both the higher-order temporal derivatives and the local radius of convergence. This allows the model to dynamically adjust its rollout based on the local behavior of the solution, thereby reducing cumulative error and improving computational efficiency. We demonstrate the effectiveness of TANTE across a wide range of PDE benchmarks, achieving superior accuracy and adaptability compared to fixed-step baselines, delivering accuracy gains of 60-80 % and speed-ups of 30-40 % at inference time.

97 MATHEMATICS AND COMPUTING↗
DOE OSTI2026

Structured illumination for surface-resolved grazing-incidence X-ray scattering

Grazing-incidence (GI) scattering techniques are widely used to characterize thin films, offering high surface sensitivity and insight into morphology and structure. However, these approaches typically provide statistical averaged information due to elongated footprint or limited spatial resolution due to beam size. Here we introduce a method that combines structured illumination with GI X-ray scattering and leverages our computational imaging approach to resolve local structural details. We demonstrate that our method captures local features of an organic semiconductor thin film without the need for sample rotation as in tomography. The method expands GI techniques from statistical averaging to high-resolution imaging, thereby providing the capability for detailed analysis of local material properties, such as domain shape, orientation and polymorphism, which are critical for advancing material design towards more efficient and tailored materials.

97 MATHEMATICS AND COMPUTING↗