Optimizing data selection methods for solving inverse problems in science and engineering.
Kathrin Hellmuth, Christian Klingenberg, Qin Li
― 7 min read
Mathematics - Numerical Analysis
RSSExploring the latest developments in Domain Decomposition Methods for complex problem solving.
Santiago Badia, Jerome Droniou, Jai Tushar
― 6 min read
Learn how materials respond to forces through elasticity and finite element analysis.
Francis R. A. Aznaran, Kaibo Hu, Charles Parker
― 6 min read
An overview of the Oseen eigenvalue problem and its significance in fluid dynamics.
Felipe Lepe, Gonzalo Rivera, Jesus Vellojin
― 6 min read
Silent errors pose risks in large computations, impacting accuracy in algorithms.
Erin Claire Carson, Jakub Hercík
― 5 min read
A new method enhances the efficiency of charged particle simulations.
Zhengyang Lei, Sihong Shao
― 4 min read
Learn how Bayesian filtering tackles noisy observations to estimate system states.
Kasper Bågmark, Adam Andersson, Stig Larsson
― 5 min read
A look into multiphase flows and the techniques used to model them.
Bindi M. Nagda, Aaron Barrett, Boyce E. Griffith
― 6 min read
A new tool makes controlling fluid motion in animations easier for artists.
Ryusuke Sugimoto, Jeff Lait, Christopher Batty
― 5 min read
A look into how transport coefficients reveal system behavior under changing conditions.
Shiva Darshan, Andreas Eberle, Gabriel Stoltz
― 6 min read
Exploring the stability of shock profiles in conservation laws using numerical methods.
Lucas Coeuret
― 7 min read
Explore numerical methods for solving the Hunter-Saxton equation and their accuracy.
Thomas Christiansen
― 5 min read
asQ enhances parallel-in-time methods for faster geoscientific calculations.
Joshua Hope-Collins, Abdalaziz Hamdan, Werner Bauer
― 7 min read
A detailed study on numerical methods for wave equations.
Mukul Dwivedi, Tanmay Sarkar
― 5 min read
Research reveals insights on fire dynamics in fuel-bearing materials with injected air.
Julio Cesar Agustin Sangay, Alexis Rodriguez Carranza, George J. Bautista
― 5 min read
Discover new methods to simplify complex data analysis using tensor decomposition.
Katherine Keegan, Elizabeth Newman
― 6 min read
A new method to improve training in physics-informed neural networks.
Youngsik Hwang, Dong-Young Lim
― 6 min read
A new approach enhances the effectiveness of deep learning in solving PDEs.
Yesom Park, Changhoon Song, Myungjoo Kang
― 6 min read
Exploring numerical solutions for differential equations through spline functions and integral techniques.
Gustavo H. O. Salgado, João P. R. Romanelli
― 4 min read
Learn how neural networks can tackle partial differential equations effectively.
Joost A. A. Opschoor, Philipp C. Petersen, Christoph Schwab
― 6 min read
New method improves understanding of breast tissue properties for better tumor detection.
Eric Lindström, Larisa Beilina
― 5 min read
A new method enhances numerical accuracy in convection-diffusion equations for fluid dynamics.
S. V. Raghurama Rao, K. S. Shrinath, Ankit Ruhi
― 5 min read
DPNO enhances the accuracy and efficiency of solving complex PDEs using parallel processing.
Qinglong Ma, Peizhi Zhao, Sen Wang
― 4 min read
A look at how randomness affects various systems and our understanding of them.
Ziheng Guo, Igor Cialenco, Ming Zhong
― 7 min read
Learn how engineers use math to predict cracks in materials.
Ram Manohar, S. M. Mallikarjunaiah
― 6 min read
Exploring how neural networks tackle high-dimensional challenges in classification tasks.
Andres Felipe Lerma-Pineda, Philipp Petersen, Simon Frieder
― 5 min read
A straightforward look at boundary integral equations and their applications.
Akshay Rane, Kunalkumar Shelar
― 5 min read
Chebyshev Feature Neural Network improves precision in function approximation tasks.
Zhongshu Xu, Yuan Chen, Dongbin Xiu
― 5 min read
ProxSkip speeds up image processing in inverse problems while maintaining quality.
Evangelos Papoutsellis, Zeljko Kereta, Kostas Papafitsoros
― 6 min read
A look into the science and modeling of cyclones.
Théo Lavier
― 6 min read
A fresh approach to tackling complex control challenges efficiently.
Gabriele Ciaramella, Michael Kartmann, Georg Müller
― 5 min read
Experts use advanced methods to detect corrosion in metal without dismantling structures.
Andrej Brojatsch, Bastian Harrach
― 7 min read
Explore how floating-point summation affects accuracy in computations.
Peichen Xie, Yanjie Gao, Jilong Xue
― 6 min read
Learn how the LOD method simplifies complex multiscale challenges.
Tao Yu, Xingye Yue
― 6 min read
Learn how QMC and the median trick improve estimates in various fields.
Zexin Pan
― 6 min read
Learn how design can enhance neural operators for complex problem-solving.
Vu-Anh Le, Mehmet Dik
― 5 min read
Scientists use neural networks to better predict fluid behavior in various environments.
Lizuo Liu, Tongtong Li, Anne Gelb
― 6 min read
This article discusses methods for solving Fredholm integral equations of the second kind.
Francesca R. Crucinio, Adam M. Johansen
― 4 min read
Learn how real-time data enhances the accuracy of scientific models.
Joshua Newey, Jared P Whitehead, Elizabeth Carlson
― 6 min read
Researchers tackle complexities in stellarator design using magnetic axis exploration.
Maximilian Ruth, Rogerio Jorge, David Bindel
― 6 min read