Latest Articles for Numerical Methods

Enhanced accuracy in simulating thin engineering structures like shells and beams.

New methods improve modeling of electromagnetic problems with interfaces using neural networks.

Explore new methods for accurate solutions to elliptic equations in complex domains.

Examining fluid behavior with a numerical method for enhanced understanding.

A study examines diffusion models and their effectiveness with Gaussian data.

New techniques improve accuracy in solving Einstein's equations for astrophysical phenomena.

Examining the dynamics of ferromagnetic materials through advanced modeling techniques.

New techniques for fast kernel matrix approximations using Chebyshev and tensor train methods.

A new framework enhances predictive modeling by integrating sensor and simulation data.

New method enhances energy stability in gradient flows without strict assumptions.

Exploring the role of shape optimization in nonlocal models for better interface identification.

New methods for accurately estimating functions using rank-1 lattices are introduced.

A look into how temperature changes during dunking scenarios.

New algorithms improve calculations in spin foam models for quantum gravity.

Exploring effective strategies for solving complex optimization problems.

Exploring the role of generalized metric subregularity in enhancing numerical optimization techniques.

Analyzing expert behaviors to improve robotics and rehabilitation.

Exploring the discontinuous Galerkin spectral element method for nonlinear conservation laws.

A look into establishing criteria for solutions in parabolic Cauchy problems.

Exploring the characteristics and methods for solving the Painlevé III equation.

Examining methods to efficiently solve the generalized Stokes problem in fluid flow.

This study examines Bayesian PINNs for estimating PDE parameters from noisy data.

Investigating methods for applying boundary conditions in the Schrödinger equation simulations.

An overview of splitting methods for solving differential equations in control systems.

This article presents a novel approach for solving nonconservative hyperbolic systems accurately.

A look into the Steklov problem and its impact on various fields.

A look at the behavior of electromagnetic waves in unique materials.

Introducing a novel method for solving differential equations using irregular data.

New models help design materials that control wave behavior effectively.

Examining how QSVT improves quantum algorithms for eigenvalue estimation and numerical integration.

This article examines the impact of theta term on particle masses.

Exploring how noise affects wave dynamics in biological systems through advanced models.

Techniques for improving the accuracy of numerical solutions in science and engineering.

This work highlights properties of matrix inverses in solving equations.

Explore the complex processes of scattering and the role of Feynman integrals.

Introducing methods to improve energy stability and positivity in gradient flows.

Exploring new methods for solving nonlocal interactions in various fields.

Explore the significance of spectrum maximizing products and their implications in matrix theory.

Analyzing pressure correction methods for fluid dynamics error management in simulations.

Tao's method offers a simple way to maintain symplectic structure in simulations.