Latest Articles for Numerical Methods

New method enhances fluid modeling in magnetohydrodynamics, ensuring physical accuracy.

This study examines how PCA reveals transitions between dispersive and dissipative systems.

New methods improve stability and accuracy in solving complex equations.

A new loss function enhances the reliability of neural operators for solving PDEs.

This article discusses new methods for accurately capturing shocks in fluid dynamics.

A method for accurately calculating eigenvalues and eigenfunctions in complex problems.

Methods for improving solution processes near complex mathematical singularities.

A look at new methods for analyzing gas flows, focusing on non-ideal gases.

Investigating wave propagation using fractional operators and advanced numerical methods.

New approach uses physics-informed neural networks for acoustic scattering simulations.

A new method enhances solutions for Navier-Stokes equations in fluid dynamics.

Explore how quantum systems interact with their environment and implications for technology.

New methods improve accuracy in convection-dominated models using advanced mesh techniques.

Exploring new techniques in finite element methods for practical applications.

A new method improves speed and memory use in solving elliptic PDEs.

Introducing an efficient approach to tackle Hamilton-Jacobi-Bellman equations for improved accuracy.

Improving eigenvalue estimation through new SoftFEM techniques.

New integrator enhances particle dynamics simulation for thermal transfer equations.

Machine learning improves artificial viscosity models for enhanced numerical simulations.

A look at how the IPDG method aids in solving eigenvalue problems in materials.

Advancing methods for better modeling of fluid shocks in high-speed flows.

A look at how fractional derivatives impact various scientific fields.

This study shows how neural networks enhance preconditioning for solving sparse linear systems.

A new approach enhances solving complex flow issues with finite cell methods.

A new approach improves the efficiency of estimating stabilization parameters in engineering.

Learn how backward error analysis enhances the Newmark method for better accuracy.

Exploring HDG methods for wave simulation in elastic materials with varying properties.

This study enhances fluid simulations using a generative adversarial network within multigrid methods.

Introducing an innovative method for accurate magnetohydrodynamics simulations.

A novel method to solve the BGK model using neural networks.

New methods improve accuracy in predicting gravitational waves from black hole systems.

Exploring the fascinating characteristics and significance of boson stars in physics.

This article discusses a quantum approach to solving complex nonlinear algebraic equations.

Efficiently managing large data through low-rank tensor-train approximation techniques.

A method that improves approximation of mathematical models using neural networks and finite elements.

Innovative method combines deep learning and advanced numerical techniques for solving conservation laws.

Analyzing turbulence through numerical methods for improved accuracy and insights.

Combining scattered and regular nodes improves accuracy in complex problem solving.

Learn how to tackle time-dependent equations using decomposition and composition techniques.

Investigating solutions for optimal control problems under specific constraints.