Latest Articles for Numerical Methods

Exploring the estimation of the Hardy constant using finite element methods.

CECM enhances numerical integration by reducing point count and improving accuracy.

A new method for efficiently solving complex mathematical equations.

Studying quantum phase transitions reveals complex behaviors in long-range interacting systems.

Exploring nonlinear heat conduction through advanced numerical methods.

Examining how viscosity influences different wave structures in fluid dynamics.

A new algorithm simplifies simulations of complex fluid flows without eigenvalue decomposition.

A new approach addresses challenges in electromagnetic scattering within rectangular cavities.

This work discusses numerical methods for simulating open quantum systems and their effectiveness.

A new method minimizes boundary resonance errors in multiscale material behavior analysis.

This article discusses the Hybrid-Variable method and its role in fluid dynamics.

A method for precise numerical integration over intersecting shapes using level sets.

A look at using the Hybrid High-Order method for biharmonic equations.

Learn how scientists solve complex linear systems in plasma physics research.

An overview of approaches to tackle Helmholtz equation complexities.

A look at dense celestial pairs and their gravitational wave emissions.

A new method for approximating invariant measures in stochastic systems.

New methods improve heat equation solutions for irregular boundaries and interfaces.

A study on approximating smooth functions extended by zero.

A new method combines data-driven techniques with physical principles for better modeling.

Registration helps align models with real data, crucial for scientific and engineering systems.

Study examines fluid movement in spherical shells under varying conditions.

A look at obstacle problems and the role of Newton differentiability in optimization.

A study on creating initial data sets for diverse cosmological scenarios.

Research on local kernel methods enhances problem-solving in mathematics and related fields.

New techniques improve domain decomposition for complex parabolic equations.

Learn how state redistribution improves numerical stability in complex simulations.

A study on particle movement and energy conservation in fluids.

Combining JAX and Firedrake enhances numerical methods for solving partial differential equations.

Introducing Dropout Ensemble Kalman Inversion for effective high-dimensional parameter estimation.

Innovative techniques enhance analysis of stochastic differential equations and their uncertainty.

A novel approach for addressing elliptic PDEs with irregular boundaries.

This article presents a method to solve the NLS equation while conserving mass and energy.

A detailed comparison of two Lattice Boltzmann models simulating electrodynamics.

Explore the interaction of viscoelastic materials with rigid foundations.

A guide to improving accuracy in Monte Carlo integration methods.

Learn how the truncation method aids in estimating derivatives despite noisy data.

This study presents state redistribution to enhance fluid flow simulations and manage complex geometries.

A new method improves deep learning applications for complex equations in science.

Exploring the potential of Physics-Informed Neural Networks in complex problems.