Latest Articles for Numerical Analysis

A look at non-harmonic Fourier matrices and the significance of their singular values.

Safe design of vessels and platforms in extreme environments using environmental contours.

Discover the types and applications of weighted automata in modeling numerical systems.

A new approach enhances proximal point algorithms for better optimization solutions.

A look at fixed points and their role in complex dynamics.

A new model improves the recovery of sparse signals in noisy environments.

A look into the key concepts of quantum mechanics and their implications.

Exploring the role of dynamic p-Laplacian in analyzing fluid motion and coherent sets.

New methods improve wave handling in unbounded spaces using advanced absorbing boundary conditions.

This study examines the 2D Ising model's critical behaviors under magnetic fields.

Dynamic anchor methods improve convergence rates in minimax problems.

An exploration of periodic banded Toeplitz operators and their applications in mathematics and physics.

This study introduces a method to find unknown initial conditions in wave behavior.

Jacobi functions are vital in various mathematical fields such as numerical methods and differential equations.

Big Jacobi polynomials have unique properties essential for various mathematical applications.

Exploring the role and applications of Hermite polynomials across various fields.

Examining stability of periodic waves using Floquet theory in Hamiltonian PDEs.

Discover how operator splitting simplifies complex dynamic systems using differential-algebraic equations.

A new approach to stability analysis using reproducing kernel spaces.

Innovative methods improve predictions of wave interactions with materials.

Studying local conservation laws in fluid dynamics through numerical methods.

A look into mathematical models of species interaction and population dynamics.

Explore the behavior of solutions to the Poisson equation and their applications.

A look at Chebyshev's method and its dynamics in finding quartic polynomial roots.

Introducing the Reduced Projection Method for efficient quasiperiodic Schrödinger eigenvalue problems.

A new approach combining deep learning and WENO for improved flow simulations.

A method to manage nearly singular integrals in fluid mechanics and potential theory.

Explore the latest methods for addressing linear evolution equations in various fields.

A look into trace and spectral norms of matrices with zero diagonals.

Explore the role of Poincaré inequalities in numerical methods for partial differential equations.

This study shows smooth solutions for NPBE in random domains, aiding complex computations.

A look into the dynamics of nonnormal Toeplitz matrices under perturbations.

Exploring techniques for solving PDEs on dynamic surfaces.

A new method combines neural networks and domain decomposition for solving complex PDEs.

Innovative approach using neural networks to stabilize PDE systems efficiently.

Exploring critical lengths and eigenvalues of surfaces of revolution.

Discover how piecewise-linear maps lead to complex behavior and chaos.

This study develops new methods for analyzing interactions in mean field games.

Explore enhanced stability and accuracy in solving hyperbolic differential equations.

A fresh approach to recovering signals impacted by saturation in various fields.