A method that improves approximation of mathematical models using neural networks and finite elements.
― 7 min read
Mathematics - Numerical Analysis
RSSInnovative method combines deep learning and advanced numerical techniques for solving conservation laws.
― 6 min read
A new method improves efficiency and accuracy in solving complex reaction-diffusion equations.
― 7 min read
This article examines Riemannian optimization's role in enhancing the Hartree-Fock method.
― 4 min read
This article discusses the benefits of hybrid high-order methods with geometric multigrid for solving linear systems.
― 5 min read
Exploring tensor neural networks to improve solutions in complex multiscale scenarios.
― 5 min read
Discover a powerful solver for tackling complex nonlinear equations in various fields.
― 5 min read
Learn how simpler functions can help analyze complex data effectively.
― 5 min read
Combining scattered and regular nodes improves accuracy in complex problem solving.
― 5 min read
A new method enhances tissue property estimation in medical imaging.
― 6 min read
A method to recover both magnitude and phase of complex signals while quantifying uncertainty.
― 6 min read
Research focuses on improving low-order finite elements for better material simulations.
― 5 min read
Improved diffraction tomography techniques using customized waves enhance medical imaging accuracy.
― 4 min read
A new method for function approximation in complex curved spaces.
― 5 min read
New methods enhance accuracy in weather forecasting and climate modeling.
― 5 min read
SOBER improves efficiency in finding optimal parameters for complex models.
― 5 min read
Learn about dimension reduction methods for simplifying complex data analysis.
― 7 min read
New model integrates thermal and mechanical effects in stereolithography.
― 7 min read
A new method improves trajectory classification in Hamiltonian systems, enhancing efficiency and accuracy.
― 5 min read
EIT offers a safer method for internal imaging using electrical currents.
― 5 min read
A new method utilizes deep learning for complex mathematical equations in various fields.
― 6 min read
Learn how to tackle time-dependent equations using decomposition and composition techniques.
― 7 min read
New method enhances fluid movement modeling in complex underground environments.
― 7 min read
New preconditioner improves fluid simulations in porous materials for various industries.
― 6 min read
A method for solving complex equations in science and engineering.
― 5 min read
Exploring filtering methods to improve ocean flow simulations using two-layer quasi-geostrophic equations.
― 7 min read
A look at advanced methods for creating effective adaptive mirrors in telescopes.
― 5 min read
Learn about optimal transport and its applications in logistics and beyond.
― 4 min read
A look at the G-LSM method for pricing American options effectively.
― 5 min read
A method for estimating interactions in systems using noisy data.
― 5 min read
Learn how Chebyshev polynomials improve function approximation in data analysis.
― 4 min read
This article presents an innovative algorithm for efficient time series likelihood calculations.
― 5 min read
Exploring how mathematical models help understand biofilm behavior.
― 7 min read
A new method ensures reliable image restoration by training monotonic neural networks.
― 6 min read
A method enhances image clarity by addressing Poisson noise in imaging data.
― 6 min read
A new method enhances GSVD calculations for large datasets, improving speed and accuracy.
― 5 min read
Explore how uncertainty affects the behavior of dynamical systems over time.
― 6 min read
A look into how materials react under pressure using mathematical approaches.
― 5 min read
New methods enhance predictions for composite materials in various industries.
― 6 min read
A study on the effects of fractures on saltwater movement in freshwater zones.
― 7 min read