A new framework improves design flexibility and efficiency in topology optimization.
― 5 min read
Mathematics - Numerical Analysis
RSSA new method offers efficient solutions for integral equations using neural networks.
― 6 min read
A simplified approach to compute Wannier functions improves material research.
― 4 min read
A novel approach to calculating movements of particles in three-dimensional fluids.
― 5 min read
New methods combine neural networks and finite element techniques to improve fluid flow simulations.
― 7 min read
Exploring new methods and applications for clustering in graph theory.
― 4 min read
Exploring methods for solving Urysohn integral equations with various kernels.
― 4 min read
A new method improves parameter estimation for optical communication systems.
― 5 min read
A method for improving accuracy in solving advection-diffusion issues across dimensions.
― 4 min read
Methods for approximating mean curvature flow and hyperbolic mean curvature flow on surfaces.
― 8 min read
Combining traditional methods with AI to enhance PDE solutions.
― 6 min read
A look at numerical methods for efficient fluid flow solutions.
― 5 min read
Innovative approaches enhance cointegration testing using optimization strategies.
― 5 min read
A new method streamlines nuclear reactor calculations successfully.
― 5 min read
A new framework combines machine learning and PDEs for efficient scientific modeling.
― 5 min read
New methods improve heat transport simulations in anisotropic plasmas for fusion research.
― 5 min read
Researchers create simpler models to predict complex fluid behaviors efficiently.
― 6 min read
A new method merges physics and machine learning to address complex mathematical equations.
― 6 min read
Researchers unveil the mechanics behind the swimming of tiny organisms using cilia and flagella.
― 7 min read
A look at how mixed FEM aids in studying poroelastic materials.
― 6 min read
An overview of optimal sampling methods in least-squares approximation.
― 7 min read
Understanding how to protect the power grid from cyber attacks using graph theory.
― 5 min read
This article covers techniques to enhance system stability through damping optimization.
― 6 min read
Introducing TFPONets for solving interface problems with deep learning techniques.
― 6 min read
Introducing ComFNO, a method for tackling complex differential equations using deep learning.
― 5 min read
Explore methods to maintain accurate and reliable financial data.
― 5 min read
Innovative methods for efficient solutions to complex inverse problems in various fields.
― 6 min read
Mamba offers a new way to analyze complex systems using machine learning.
― 7 min read
Compressed NMF offers a practical solution for analyzing large datasets efficiently.
― 7 min read
A new method enhances moisture representation in weather models.
― 4 min read
Learn how homogenisation aids in understanding complex materials and systems effectively.
― 4 min read
This article details numerical methods for approximating complex stochastic equations in nature and finance.
― 6 min read
A deep dive into neural networks for total variation minimization in images.
― 6 min read
New techniques improve light simulation in advanced materials with complex structures.
― 5 min read
This study examines how collapsing vapor bubbles affect nearby solid materials.
― 5 min read
An overview of the implicit Euler method and its applications in differential inversion.
― 5 min read
New techniques aim to improve prostate cancer treatment through data-driven models.
― 5 min read
A novel method using neural networks to compute eigenvalues in large matrices.
― 5 min read
Exploring how KANs improve solutions for optimal control challenges across various fields.
― 5 min read
Explore the significance and uses of block structured matrices in math and engineering.
― 4 min read