A method for accurate modeling of uncertainties in science and engineering.
― 6 min read
Computer Science - Numerical Analysis
RSSA 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
This article examines behaviors in multiagent systems and methods to control them.
― 5 min read
New methods enhance solving complex fractional partial differential equations.
― 5 min read
New methods improve analysis of materials using hyperspectral imaging.
― 5 min read
New methods improve efficiency in modeling contact mechanics challenges.
― 6 min read
An overview of symplectomorphism neural networks and their importance in Hamiltonian systems.
― 6 min read
New method enhances efficiency in solving optimal control problems with PDEs.
― 5 min read
An overview of halftoning techniques and their significance in image rendering.
― 5 min read
New methods improve plasma simulations for better understanding and applications.
― 6 min read
Combining topology optimization and machine learning for efficient photonic component design.
― 6 min read
Research on moment methods enhances understanding of particle behavior in gases.
― 5 min read
This article discusses the importance of learning operators in Banach spaces for scientific computing.
― 5 min read
New methods enhance stability and accuracy in complex matrix systems.
― 6 min read