Mathematics - Numerical Analysis

A new method improves solutions to complex elliptic PDEs in engineering and science.

A new method enhances Local Binary Patterns for better accuracy in face detection and expression recognition.

New methods improve accuracy in fluid-solid interaction modeling within poroelasticity.

This study evaluates new methods for simulating coupled nonlinear Schrödinger equations.

A method that improves finite element analysis using arbitrary meshes.

A look at the reflective block Kaczmarz algorithm and its applications.

Explore the role and applications of finite trigonometric sums across various fields.

A new approach to enhance accuracy in hyperbolic conservation laws using jump filters.

A new method combines SINDy and Bayesian optimization to analyze DDEs efficiently.

Innovative methods enhance understanding of water flow dynamics.

Scientists blend traditional models and deep learning for ice thickness predictions in Greenland.

This article presents a new method for simulating quantum systems with changing forces.

This paper discusses improving digital twins for reliable risk assessment and decision-making.

This article discusses enhancing VPINNs efficiency using Least Squares and gradient descent.

Exploring how switched systems operate and their importance in various applications.

This article presents an efficient approach to recover functions from unevenly distributed data points.

Examining how magnetic fields influence electrically conducting fluids and their practical applications.

This article reviews how neural networks assist in analyzing Bratu and Burgers equations.

This study focuses on optimal control for fluid dynamics governed by Stokes equations.

A study on phase separation in mixtures using dynamic boundary conditions.

A fresh approach to boundary value problems using dipole simulation method shows promising results.

This article examines a model for phase changes in materials like steel and ice.

Learn how stable rank and intrinsic dimension provide insights into matrix properties.

A new method accurately reconstructs strain fields in materials using neutron imaging.

An exploration of prime matrices and their breakdown into simpler tensor products.

A new method enhances differentiation accuracy using Taylor expansions and correction terms.

This article presents a method for solving nonlocal parabolic problems using Isogeometric Analysis.

Continuous Data Assimilation improves prediction accuracy across various fields.

Discover a promising approach to solving challenging equations in physics and engineering.

Effective methods for overcoming complex fluid dynamics challenges.

This paper discusses the role of bath correlation functions in open quantum systems.

Exploring solitons in networks and their applications in technology.

Explore how random time steps improve solutions to ordinary differential equations.

A new technique enhances stability in electromagnetic field models, addressing conductivity and frequency issues.

Exploring the role of spectral methods and W-systems in solving complex PDEs.

Exploring a flexible approach to approximate vectors using random information.

A new Lattice Boltzmann formulation enhances simulations in linear elastodynamics.

This study examines how stenosis affects blood flow and its implications for health.

A look into the safety measures and environmental aspects of underground gas storage.

A new method helps scientists predict how particles move over time.