Latest Articles for Numerical Methods

New methods improve wave modeling accuracy and applications in various fields.

Research improves numerical methods for simulating particle interactions in complex systems.

A new approach using neural networks enhances viscosity for high-order methods.

Explore methods for detecting issues in fluid simulations.

A new method enhances accuracy in modeling geometric flows using second-order techniques.

Researching methods to solve the Cauchy problem using fractional derivatives.

New method enhances binary neutron star merger simulations for better gravitational waveforms.

This study presents a method to determine unknown coefficients in parabolic equations using boundary data.

A study on improving numerical methods for solving fluid flow problems.

A new approach enhances multigrid methods for complex simulations with low quality cells.

Exploring how boundaries affect quantum fields and particle interactions.

New methods improve accuracy in enforcing the Lorenz gauge condition in plasma physics.

Exploring the Burgers equation in fluid dynamics and its applications.

New methods improve the accuracy of matrix sign function computations.

Examining new methods for efficient heat distribution modeling.

BNQN offers a smoother and more robust alternative for finding roots in mathematics.

A look into the reconstruction of genus 6 and 7 complex curves.

A study on controlling systems with Dirichlet boundary conditions for improved performance.

Exploring iterative methods for finding fixed points in various fields of study.

An overview of viscoelastic fluids and the Oldroyd-B model.

Examining how to achieve rapid transformations in quantum systems effectively.

A new approach improves solutions for particle movement in fluids with changing boundaries.

Explore how tensor neural networks tackle complex high-dimensional equations in various fields.

A novel scheme to simulate jump-driven stochastic processes in various fields.

Learn an ancient approach to finding square roots step-by-step.

New methods enhance solving Riccati equations for robust control applications.

This article discusses efficient techniques for solving Maxwell's equations in various media.

A new approach to handle complex changing domains in numerical simulations.

Exploring a new principle for harmonic functions defined on circular domains.

Introducing a method that combines kernel-based reconstruction with finite volume techniques for fluid flows.

A new solver method improves efficiency for Cahn-Hilliard equation in materials science.

New framework aids in simulating complex shapes in physics and engineering.

This model improves predictions for partial differential equations using innovative techniques.

Discover how supervised learning aids in solving complex equations efficiently.

A method improves solutions for Navier-Stokes equations in fluid mechanics.

This article explains how tractability analysis measures the ease of solving complex mathematical problems.

A study of fluid behavior under extreme conditions using simplified numerical methods.

A look into boundary control methods for the KdVBH equation.

This article explores better ways to estimate errors in numerical methods for equations describing substance spread.

A new method for solving complex elliptic equations using ghost points.