Latest Articles for Numerical Methods

This article explores the formation of Borromean states in three-particle systems.

Learn how to apply transparent boundary conditions in solving the Schrödinger equation numerically.

This article examines wave behavior in a triangular lattice and its significance.

Analyzing numerical methods in materials science for phase-field problems.

This study presents methods for solving complex coefficient inverse problems in games.

This study introduces tensor-train networks to enhance flow simulation accuracy and efficiency.

We analyze numerical methods for the Cahn-Hilliard equation on changing surfaces.

This article presents a method to certify feasibility in semidefinite programming.

A new method improves wave propagation efficiency.

Researchers study unexpected behaviors in fluid flows through Euler equations and singularities.

An overview of integrodifferential operators and their role in various fields.

Insights into water waves and their importance for various applications.

This article examines particle behavior in various flows and its implications.

NGOs utilize neural networks to simplify solving complex partial differential equations efficiently.

A method for accurate modeling of uncertainties in science and engineering.

Stable numerical methods enhance plasma flow simulation accuracy and applications.

Researching energy stability in crystal simulations enhances material behavior predictions.

Exploring new methods for understanding fluid movement in porous materials.

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

This article reviews numerical methods for elliptic PDEs, focusing on collocation and neural networks.

A look into shape optimization techniques and their real-world applications.

This study focuses on how variable materials respond to moving loads.

Study of phase separation through advanced numerical techniques.

Exploring the complexities of anomalous diffusion through advanced mathematical modeling.

An overview of quasinormal and complex momentum modes in black hole research.

A study on shape optimization and its implications in fluid dynamics.

This article presents a novel approach to tackle moving interface challenges in advection-diffusion problems.

A look into the properties and calculations of spin-2 BECs.

New methods enhance the accuracy of solving fractional differential equations.

Learn about Modified Patankar methods for solving complex material processes.

A study on fluid dynamics in elastic porous materials with real-world applications.

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

Research confirms dual boundary conditions for the Stokes problem, aiding fluid dynamics.

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

Learn how Restricted Function Spaces improve PDE solutions in Firedrake.

This study evaluates new methods for simulating coupled nonlinear Schrödinger equations.

A study on phase separation in mixtures using dynamic boundary conditions.

Examining Gubser flow's role in understanding extreme material behaviors in physics.

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

This paper discusses the role of bath correlation functions in open quantum systems.