Computer Science - Numerical Analysis

Machine LearningKKANs: A New Era in Machine Learning

KKANs bring fresh methods to tackle complex scientific challenges effectively.

Juan Diego Toscano, Li-Lian Wang, George Em Karniadakis

2025-01-31T21:52:28+00:00 ― 6 min read

Numerical AnalysisCrafting Smooth Curves with Cubic Splines

Learn how cubic splines create smooth data representations using triangulations.

Tom Lyche, Carla Manni, Hendrik Speleers

2025-01-31T16:58:40+00:00 ― 7 min read

Dynamical SystemsUnraveling Dynamic Systems with Kernel Methods

Discover how the Koopman operator and kernel methods analyze complex systems.

Jonghyeon Lee, Boumediene Hamzi, Boya Hou

2025-01-31T11:42:06+00:00 ― 7 min read

Numerical AnalysisRevolutionizing Surface Flattening Techniques

A new method simplifies surface flattening for various applications.

Zhong-Heng Tan, Tiexiang Li, Wen-Wei Lin

2025-01-30T17:00:10+00:00 ― 7 min read

Numerical AnalysisThermal Radiative Transfer: A Vital Energy Game

Explore how photons interact with materials in high-energy physics.

Dmitriy Y. Anistratov, Terry S. Haut

2025-01-30T11:16:46+00:00 ― 5 min read

Materials ScienceUnderstanding Crack Propagation in Materials

Learn how cracks grow in materials and their impact on engineering.

Pedro Aranda, Javier Segurado

2025-01-30T04:06:52+00:00 ― 6 min read

Numerical AnalysisUnderstanding Fluid Flow in Curved Spaces

A look into how fluids behave in complex shapes using mathematics.

Yongli Hou, Yanqiu Wang

2025-01-29T09:02:10+00:00 ― 6 min read

Machine LearningGenerative Models: Crafting New Data Realities

Explore the creative power of generative models in AI and their diverse applications.

Jathin Korrapati, Tanish Baranwal, Rahul Shah

2025-01-29T03:42:30+00:00 ― 6 min read

Machine LearningERGNN: A Fresh Approach to Graph Neural Networks

Introducing ERGNN, a new method improving graph neural networks with rational filters.

Guoming Li, Jian Yang, Shangsong Liang

2025-01-29T01:02:40+00:00 ― 5 min read

Numerical AnalysisNavigating Volatility in Financial Markets

Understanding volatility and its impact on trading decisions.

Jorge P. Zubelli, Kuldeep Singh, Vinicius Albani

2025-01-28T12:24:20+00:00 ― 6 min read

Numerical AnalysisAdvancements in High-Order Numerical Methods

Exploring improved techniques for modeling nonconservative systems in various fields.

Shaoshuai Chu, Alexander Kurganov, Ruixiao Xin

2025-01-26T01:07:10+00:00 ― 5 min read

Numerical AnalysisNavigating High-Order Methods in Balance Laws

Discover new ways to tackle complex fluid and wave systems.

Shaoshuai Chu, Alexander Kurganov, Mingye Na

2025-01-25T19:47:30+00:00 ― 6 min read

Numerical AnalysisNeural Networks: Physics Problem Solvers

Discover how neural networks tackle complex physics equations.

Vasiliy A. Es'kin, Alexey O. Malkhanov, Mikhail E. Smorkalov

2025-01-24T22:19:44+00:00 ― 7 min read

Numerical AnalysisWho Counts Better? A Dive into Number Formats

Comparing Posit, Takum, and traditional formats for counting integers.

Laslo Hunhold

2025-01-23T17:10:40+00:00 ― 7 min read

Numerical AnalysisRevolutionizing Sparse Linear Systems with New Number Formats

New arithmetic formats enhance performance in solving sparse linear systems.

Laslo Hunhold, James Quinlan

2025-01-23T14:30:50+00:00 ― 6 min read

Numerical AnalysisMscaleFNO: A New Wave in Operator Learning

Introducing MscaleFNO, a multi-scale approach reshaping how we study waves and materials.

Zhilin You, Zhenli Xu, Wei Cai

2025-01-23T09:11:10+00:00 ― 7 min read

Numerical AnalysisEngineering Insights: Analyzing Rod Behavior

An overview of how rods are analyzed for engineering applications.

Thi-Hoa Nguyen, Bruno A. Roccia, Dominik Schillinger

2025-01-23T06:31:20+00:00 ― 6 min read

RoboticsSmart Robots: Tackling Tough Movements

Discover how robots use new methods to navigate tricky movements.

Andreas Mueller

2025-01-21T09:14:10+00:00 ― 6 min read

ProbabilityHarnessing Reflected McKean-Vlasov SDEs: A Guide

Explore the power of reflected McKean-Vlasov SDEs in complex systems.

P. D. Hinds, A. Sharma, M. V. Tretyakov

2025-01-20T21:22:56+00:00 ― 6 min read

Machine LearningFEX: A New Way to Model Disease Spread

Discover how FEX transforms understanding of infectious diseases.

Jianda Du, Senwei Liang, Chunmei Wang

2025-01-18T06:38:50+00:00 ― 7 min read

Numerical AnalysisNew Activation Function Boosts Neural Network Performance

A fresh activation function enhances neural networks for solving complex physical problems.

Vasiliy A. Es'kin, Alexey O. Malkhanov, Mikhail E. Smorkalov

2025-01-17T12:47:46+00:00 ― 5 min read