Latest Articles for Mathematics

Introducing the X-HDG method for solving complex convection-diffusion equations.

New method improves efficiency in simulating complex particle systems.

Study on nonlocal conservation laws improves simulations of traffic and crowd behavior.

This study reveals complex behaviors of diffusion as spaces expand.

New methods using neural networks improve efficiency in complex optimization problems.

A new method for smooth transitions between triangle meshes in computer graphics.

Explore the role of lattices in mathematics and their applications in computer science.

An overview of optimal transport methods, their uses, challenges, and recent solutions.

This study uses genetic algorithms to discover new Calabi-Yau manifolds from reflexive polytopes.

Virtual Element Methods simplify the study of materials under stress and strain.

Analyzing strategies in the cops and robbers game on graphs.

Learn how boundary integral operators improve sound modeling and simulations.

Explore the unique world of non-associative algebras and their applications.

A deep dive into entanglement in random tensor networks.

Study reveals how surface arrangement affects manifold rigidity.

A new approach for vectorizing persistence diagrams enhances data analysis efficiency.

Exploring the Kuramoto model's applications in various fields and its numerical methods.

This article explores the properties and importance of scalar generalized Verma modules in representation theory.

Learn how decomposing fuzzy relations clarifies preferences in uncertain situations.

A look into how gradual fixing impacts system behavior and predictions.

Pell-Abel equations link polynomial functions across various mathematical fields.

A deep dive into the Neumann boundary value problem in mathematics.

Exploring relationships among morphisms through group structure in algebraic geometry.

An overview of magnetic Dirac operators and their role in quantum mechanics.

Explore weak measurements and their impact on quantum observations.

An overview of stability theory, Lyapunov functions, and their applications.

Exploring the role of cubic lattices in quantum states and operations.

This article discusses the Neumann eigenvalue problem and its significance in various fields.

A look at how Arakelov divisors connect algebra and geometry.

Exploring the complex relationship between tube domains and their envelopes of holomorphy.

A new method enhances automated systems for solving math word problems.

Learn about semialgebraic sets and Nash maps in algebra and geometry.

A look at the role and applications of the longest element in Weyl groups.

Examining how input changes affect symmetric Boolean functions and their complexity.

A look into how stochastic algorithms adapt and learn over different timeframes.

Examining the connection between uncomputable sets and their infinite subsets.

A method using wavelets to solve complex fractional oscillation equations effectively.

A new method uses neural networks to solve PDEs efficiently while preserving physical laws.

A new method improves gene tree analysis through tropical geometry.

Exploring a cellular automaton model on a pentagrid capable of universal computation.