Latest Articles for Numerical Analysis

New methods simplify solving elliptic equations with improved accuracy and efficiency.

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

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

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

This study examines the stochastic Allen-Cahn equation and its long-term behavior.

Examining stability issues in polynomial rootfinding techniques.

A fresh approach to tackle abrupt changes in partial differential equations.

Exploring tensor networks to improve shallow water equations simulations.

A new approach improves error estimation in complex numerical analysis with generalized gradients.

A new approach to find eigenvalue locations using block matrices.

A hybrid filter enhances numerical methods for better accuracy in discontinuous regions.

Enhancing fluid flow control with innovative numerical techniques and robust approaches.

A new method improves fluid flow simulation in porous materials efficiently.

New insights into trust-region methods tackle challenges in unbounded Hessians.

ideal.II makes using space-time methods in deal.II easier for engineers and scientists.

Innovative techniques for simulating open quantum systems using the Lindblad equation.

A study of phase transitions in dimerized spin chains reveals complex quantum behavior.

Understanding simulations is key to improving electric machines and transformers.

Discover how Zolotarev rational functions manage values in different domains.

Combining methods to improve fluid dynamics modeling and solve challenges efficiently.

Analyzing stability of finite-volume schemes with non-uniform meshes in scientific computations.

Orthogonal polynomials offer unique properties useful in various mathematical applications.

Exploring methods and techniques for solving variational Poisson problems.

A new method offers efficient solutions for integral equations using neural networks.

Exploring the significance of Chebyshev polynomials in approximation theory with Jacobi weights.

Analyzing superconformal field theories with a focus on large charge effects.

A new method enhances stability in SPH simulations for solid dynamics.

Learn how homogenisation aids in understanding complex materials and systems effectively.

This article details numerical methods for approximating complex stochastic equations in nature and finance.

An overview of the implicit Euler method and its applications in differential inversion.

Exploring a novel proof for the B-series composition theorem using unlabelled trees.

A look into error estimation techniques in finite element methods.

ASPINN offers a fresh solution for challenging singularly perturbed differential equations.

A new method enhances solution transfer accuracy in complex simulations.

A new method improves parameter estimates in inverse problems affected by noise.

A new method enhances particle distribution in SPH simulations for better accuracy.

Learn how neural networks enhance the accuracy of Monte Carlo integration through control variates.

A new method enhances the efficiency of charged particle simulations.

A new approach enhances function approximation techniques using operators.

Exploring the stability of shock profiles in conservation laws using numerical methods.