Latest Articles for Applied Mathematics

This research analyzes how certain heat equations lead to sudden temperature increases.

An overview of Drinfeld modules and t-modules in number theory and algebra.

A concise overview of analytic functions and their importance in mathematics.

This article investigates solution behavior of the Kuramoto-Sivashinsky equation from rough initial data.

Exploring eigenvalues in simplicial complexes reveals new patterns and insights.

A method to assess stability in complex nonlinear systems under small disturbances.

A study of two elastic rods and a spring's behavior under various forces.

New methods help detect rattlers in packed systems more efficiently.

A new framework for improving safety and performance in hybrid robotic systems.

This article examines key aspects of Shimura varieties and their special fibers.

Exploring the generalization of Hadamard's theorem for nonsmooth functions.

Examining the significance of elliptic and parabolic problems in mathematics and their applications.

Explore key concepts and tools in eigenvalue problems across various fields.

Exploring the properties and applications of bounded lecture-hall tableaux in combinatorics.

This research explores gain scheduling and neural operators for better control of nonlinear PDEs.

A comprehensive look at spectral inclusion sets in mathematical operators.

Innovative approach using neural networks to stabilize PDE systems efficiently.

This research explores efficient methods for solving a key mathematical equation.

An overview of quadratic differentials and their significance in mathematics.

A method for accurately calculating eigenvalues and eigenfunctions in complex problems.

An overview of fascinating prime gaps and their significance in mathematics.

Insights into Fourier integral operators, their properties, and practical applications.

Research highlights how disconnectivity graphs reveal Ising machines' strengths and challenges in optimization.

This study explores the behavior of shock waves in compressible fluids over time.

Exploring matrix perturbation impacts on data analysis in various fields.

Investigating Laplace's equation solutions in spaces with holes.

An exploration of Banach spaces, norms, and their unique characteristics.

A look into Fourier series applied to singular measures in complex spaces.

Discover how geometric phase influences wave behavior in new elastic materials.

A new numerical algorithm improves solutions for Laplace eigenvalue problems in circular sectors.

A look at how the IPDG method aids in solving eigenvalue problems in materials.

A new approach improves the efficiency of estimating stabilization parameters in engineering.

A look at the significance of Boue-Dupuis in probability and statistics.

A look into Kronecker quivers and the significance of their representations.

An overview of the relationship between bound states and scattering in quantum systems.

This study sheds light on Gabor frames and their relationship with Hermite functions.

A look at invariant foliations and their role in understanding complex systems.

A look at how mappings behave in differential inclusions and their implications.

A look into the HDG method and its impact on numerical analysis.

Examining optimization techniques for challenging convex functions in unique geometric spaces.