Mathematicians develop KdVH for improved wave modeling and numerical solutions.
Abhijit Biswas, David I. Ketcheson, Hendrik Ranocha
― 8 min read
Computer Science - Numerical Analysis
RSSLearn how neural networks improve energy management and predict future needs.
Van Truong Vo, Samad Noeiaghdam, Denis Sidorov
― 6 min read
Discover how the Epstein zeta function aids research in physics and material science.
Andreas A. Buchheit, Jonathan Busse, Ruben Gutendorf
― 7 min read
Discover how numerical methods help us understand interest rate dynamics in finance.
Samir Llamazares-Elias, Angel Tocino
― 6 min read
Unraveling the mysteries and conjectures surrounding elliptic curves in mathematics.
Juan-Pablo Llerena-Córdova
― 7 min read
Discover how the volume-constrained MBO scheme improves data organization and analysis.
Fabius Krämer, Tim Laux
― 5 min read
Explore techniques to enhance calculations in sparse matrices for AI applications.
Tomonori Kouya
― 7 min read
Explore how non-local laws affect various real-world systems.
Nikhil Manoj, G. D. Veerappa Gowda, Sudarshan Kumar K
― 5 min read
KKANs bring fresh methods to tackle complex scientific challenges effectively.
Juan Diego Toscano, Li-Lian Wang, George Em Karniadakis
― 6 min read
Learn how cubic splines create smooth data representations using triangulations.
Tom Lyche, Carla Manni, Hendrik Speleers
― 7 min read
Discover how the Koopman operator and kernel methods analyze complex systems.
Jonghyeon Lee, Boumediene Hamzi, Boya Hou
― 7 min read
A new method simplifies surface flattening for various applications.
Zhong-Heng Tan, Tiexiang Li, Wen-Wei Lin
― 7 min read
Explore how photons interact with materials in high-energy physics.
Dmitriy Y. Anistratov, Terry S. Haut
― 5 min read
Learn how cracks grow in materials and their impact on engineering.
Pedro Aranda, Javier Segurado
― 6 min read
A look into how fluids behave in complex shapes using mathematics.
Yongli Hou, Yanqiu Wang
― 6 min read
Explore the creative power of generative models in AI and their diverse applications.
Jathin Korrapati, Tanish Baranwal, Rahul Shah
― 6 min read
Introducing ERGNN, a new method improving graph neural networks with rational filters.
Guoming Li, Jian Yang, Shangsong Liang
― 5 min read
Understanding volatility and its impact on trading decisions.
Jorge P. Zubelli, Kuldeep Singh, Vinicius Albani
― 6 min read
Exploring improved techniques for modeling nonconservative systems in various fields.
Shaoshuai Chu, Alexander Kurganov, Ruixiao Xin
― 5 min read
Discover new ways to tackle complex fluid and wave systems.
Shaoshuai Chu, Alexander Kurganov, Mingye Na
― 6 min read
Discover how neural networks tackle complex physics equations.
Vasiliy A. Es'kin, Alexey O. Malkhanov, Mikhail E. Smorkalov
― 7 min read
Comparing Posit, Takum, and traditional formats for counting integers.
Laslo Hunhold
― 7 min read
New arithmetic formats enhance performance in solving sparse linear systems.
Laslo Hunhold, James Quinlan
― 6 min read
Introducing MscaleFNO, a multi-scale approach reshaping how we study waves and materials.
Zhilin You, Zhenli Xu, Wei Cai
― 7 min read
An overview of how rods are analyzed for engineering applications.
Thi-Hoa Nguyen, Bruno A. Roccia, Dominik Schillinger
― 6 min read
Discover how robots use new methods to navigate tricky movements.
Andreas Mueller
― 6 min read
Explore the power of reflected McKean-Vlasov SDEs in complex systems.
P. D. Hinds, A. Sharma, M. V. Tretyakov
― 6 min read
Discover how FEX transforms understanding of infectious diseases.
Jianda Du, Senwei Liang, Chunmei Wang
― 7 min read
A fresh activation function enhances neural networks for solving complex physical problems.
Vasiliy A. Es'kin, Alexey O. Malkhanov, Mikhail E. Smorkalov
― 5 min read