Latest Articles for Numerical Methods

A novel approach combines domain decomposition and artificial neural networks for complex problem solving.

New techniques in managing quantum systems enhance density matrix calculations.

Introducing a robust method for solving Navier-Stokes equations in fluid dynamics.

A new method for finding ground states of quantum systems efficiently.

Rational neural networks enhance fluid dynamics accuracy and efficiency in simulations.

A study on techniques for approximating singular values in various applications.

A study on how symmetries shape fluid flow behaviors.

A detailed analysis of solvers for sparse linear systems with challenging conditions.

Introducing a new method for Biot's consolidation model using lattice Boltzmann techniques.

Introducing PI-TFPONet: a method for solving parametric PDEs without large datasets.

Examining advances in solving nonlinear eigenvalue problems across various fields.

This article discusses new techniques for solving BSPDEs effectively.

This article discusses a new method for improved simulations in magnetohydrodynamics.

Innovative numerical strategies improve understanding of water flows in diverse environments.

A deep look into the RKSV method for hyperbolic equations.

This article discusses monolithic multigrid solvers for efficient fluid flow problem-solving.

This article presents a new method for studying particles in electric fields.

Learn how merged Voronoi-Delaunay grids improve boundary value problem solutions in complex domains.

Exploring the latest developments in Domain Decomposition Methods for complex problem solving.

An overview of the Oseen eigenvalue problem and its significance in fluid dynamics.

A look into how transport coefficients reveal system behavior under changing conditions.

asQ enhances parallel-in-time methods for faster geoscientific calculations.

Examining equations modeling heat spread and substance mixing over time.

A new method enhances numerical accuracy in convection-diffusion equations for fluid dynamics.

This article discusses methods for solving Fredholm integral equations of the second kind.

Exploring how numerical methods help solve complex stochastic differential equations.

Learn about the DG-CG method for solving wave equations and its significance.

A look into the methods that transform our understanding of quantum interactions.

Learn how symmetry helps in simplifying complex PDEs effectively.

A look at how Newton's method helps tackle nonlinear boundary value problems.

Innovative approaches enhance solutions for convection-dominated challenges.

An exploration of using cut cells in solving complex mathematical equations.

A look at first-order phase transitions and their significance in gauge theories.

Utilizing neural networks to solve complex high-order elliptic equations efficiently.

Explore how the LDG method solves heat equations in simple terms.

Learn the basics of the Klein-Gordon equation and HDG method clearly.

Breaking down equations in science and engineering for clearer answers.

Discover efficient methods for applying rotations to matrices in numerical linear algebra.

A method for solving Sobolev-type equations to study wave behaviors effectively.

Combining meta-learning and GAMs to enhance PINN solutions for complex equations.