A new method to improve training in physics-informed neural networks.
Youngsik Hwang, Dong-Young Lim
― 6 min read
Mathematics - Numerical Analysis
RSSA 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
A look at how heat and fluids mix using mathematical techniques.
Edward Finkelstein
― 6 min read
A look at how math models learning in fish.
Josefa Caballero, Hanna Okrasińska-Płociniczak, Łukasz Płociniczak
― 5 min read
Exploring how numerical methods help solve complex stochastic differential equations.
Thi-Huong Vu, Hoang-Long Ngo, Duc-Trong Luong
― 7 min read
Learn how moving mesh techniques simplify electron behavior studies.
Zheming Luo, Yang Kuang
― 5 min read
Scientists use eigenpair-splitting to solve quantum challenges efficiently.
Yang Kuang, Guanghui Hu
― 5 min read
Learn about Wachspress coordinates and their applications in shaping our world.
Pengjie Tian, Yanqiu Wang
― 6 min read
A toolbox offering efficient methods for solving complex movement and change equations.
Lekan Molu
― 5 min read
Learn about the DG-CG method for solving wave equations and its significance.
Zhaonan Dong, Lorenzo Mascotto, Zuodong Wang
― 6 min read
Learn how topology optimization creates lightweight and effective designs for fluid applications.
Yuta Tanabe, Kentaro Yaji, Kuniharu Ushijima
― 6 min read
A look into techniques for handling singular matrices in eigenvalue problems.
Karl Meerbergen, Zhijun Wang
― 6 min read
New tools help improve the handling of sudden changes in fluid simulations.
Xi Deng, Zhen-hua Jiang, Omar K. Matar
― 6 min read
A look into stochastic differential equations, their challenges, and practical uses.
Hoang-Viet Nguyen, Trung-Thuy Kieu, Duc-Trong Luong
― 6 min read
This guide walks through a fresh method for solving convection-diffusion-reaction equations.
Dibyendu Adak, Duc P. Truong, Radoslav Vuchkov
― 6 min read
A look at solving optimization problems amidst uncertainty and complexity.
Harbir Antil, Sergey Dolgov, Akwum Onwunta
― 9 min read
A look into fluid dynamics methods for effective simulations and real-world applications.
Luca Crugnola, Christian Vergara
― 7 min read
Introducing a method to solve complex conservation equations efficiently.
Kenneth Duru, Dougal Stewart, Nathan Lee
― 6 min read