Latest Articles for Numerical Methods

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.

A study on manipulating temperature using Wentzell boundary conditions and Dirichlet control.

Studying how moving cylinders create sound waves in fluids for practical applications.

Explore the role of BSDEs in managing dynamic financial risks.

Exploring tensor networks to improve shallow water equations simulations.

Researchers use MeshGraphNets to improve fluid dynamics simulations efficiently.

A new method improves fluid flow simulation in porous materials efficiently.

This study enhances American option pricing using Piecewise Diffusion Markov Processes.

Innovative techniques for simulating open quantum systems using the Lindblad equation.

Learn how decoupling simplifies solving complex evolution equations.