Latest Articles for Numerical Analysis

New methods enhance solutions for the Helmholtz problem in engineering and mathematics.

Researching energy stability in crystal simulations enhances material behavior predictions.

This article discusses shape optimization to enhance ionic concentration in electrochemical systems.

Quantum annealing offers fresh methods for tackling optimization challenges across various fields.

This article discusses the importance of learning operators in Banach spaces for scientific computing.

New methods enhance stability and accuracy in complex matrix systems.

Discover methods to solve complex algebraic equations efficiently using the ADI approach.

New schemes enhance weak convergence in stochastic differential equations with super-linear coefficients.

A new approach for finding leading eigenvectors in complex matrices.

Exploring behaviors of a key mathematical equation in wave dynamics.

Study of phase separation through advanced numerical techniques.

New methods improve efficiency and accuracy in handling stiff differential equations.

Examining how perturbations affect eigenvalues in Rosenbrock systems and their implications.

Explore techniques for minimizing functions using gradient methods and their applications.

New methods offer efficient solutions for operator exponentials in various fields.

New techniques improve accuracy in analyzing nearly incompressible materials.

Introducing a novel method to enhance accuracy in reaction-diffusion equation simulations.

A look into minimal cubature rules for accurate numerical integration.

This study presents methods for approximating Hamilton-Jacobi equations using continuous time Markov decision problems.

Techniques for simplifying mathematical models while retaining key features.

Research presents a model addressing phase separation in mixed materials with boundary effects.

This study examines the Motsch-Tadmor model and its impact on flocking behavior.

Discover innovative techniques for optimizing quadratic programming challenges.

Efficient methods for simplifying complex mathematical problems using rational approximation techniques.

Recent developments enhance Bernstein operators for better function approximation.

Learn how Restricted Function Spaces improve PDE solutions in Firedrake.

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.