This article discusses methods to stabilize the Burgers equation for better modeling.
― 4 min read
Mathematics - Numerical Analysis
RSSDiscover how machine learning is tackling complex partial differential equations.
― 6 min read
A method to mathematically represent plane graphs for simulations.
― 5 min read
New techniques enhance stability and accuracy in structural dynamics simulations.
― 5 min read
A look at how operator learning techniques enhance modeling of neural dynamics.
― 7 min read
A study on using measurements and numerical methods to solve elliptic PDEs.
― 6 min read
GFN-ROM enhances model order reduction using graph neural networks for efficient simulations.
― 5 min read
NEIM uses neural networks to simplify complex nonlinear models for efficient analysis.
― 6 min read
New methods utilize neural networks to tackle complex time-fractional equations effectively.
― 6 min read
This study presents a method to improve fluid-structure interaction predictions for engineering applications.
― 5 min read
Exploring methods to address fluid-structure interaction problems across various fields.
― 5 min read
A novel method using neural networks to solve complex partial differential equations efficiently.
― 6 min read
A method for accurate modeling of uncertainties in science and engineering.
― 6 min read
A new framework efficiently solves PDEs while addressing uncertainties.
― 5 min read
An overview of the Apollonian gasket’s structure and significance in mathematics.
― 7 min read
Stable numerical methods enhance plasma flow simulation accuracy and applications.
― 6 min read
This method helps clarify complex, changing data by reducing noise while retaining important features.
― 5 min read
A look at discrete calculus and its applications in understanding complex shapes.
― 6 min read
A look at how biorthogonal polynomials enhance polynomial regression methods.
― 5 min read
Examining the dynamics of ferromagnetic materials through advanced modeling techniques.
― 5 min read
New techniques for fast kernel matrix approximations using Chebyshev and tensor train methods.
― 5 min read
An overview of inverse problems and methods for accurate reconstructions.
― 4 min read
A new method enhances training efficiency for complex equations using variable scaling.
― 7 min read
New methods enhance solutions for the Helmholtz problem in engineering and mathematics.
― 5 min read
Researching energy stability in crystal simulations enhances material behavior predictions.
― 5 min read
Exploring new methods for understanding fluid movement in porous materials.
― 5 min read
A framework for improving carbon dioxide injection strategies in underground storage.
― 8 min read
Exploring fKANs and their impact on machine learning performance.
― 6 min read
This article explores new methods for simulating fluid flows with GPU technology.
― 5 min read
An overview of tensor algebras and their applications in data analysis.
― 6 min read
New method enhances energy stability in gradient flows without strict assumptions.
― 5 min read
This study improves simulations of molten metal droplets in microgravity environments.
― 4 min read
A new method enhances Markov modeling by addressing limitations in analyzing complex time series data.
― 9 min read
This article reviews numerical methods for elliptic PDEs, focusing on collocation and neural networks.
― 5 min read
New methods for accurately estimating functions using rank-1 lattices are introduced.
― 4 min read
Introducing Group-and-Shuffle matrices for efficient fine-tuning of neural models.
― 6 min read
Discover how digital nets improve efficiency in complex mathematical tasks.
― 4 min read
New techniques improve accuracy and efficiency in simulating particle movements.
― 6 min read
A look into how temperature changes during dunking scenarios.
― 6 min read
Explore Grassmannians and their role in geometry and curvature analysis.
― 5 min read