Latest Articles for Numerical Analysis

Introducing a finite volume scheme for scalar conservation laws with abrupt changes.

A look at how compact methods improve data fitting for large datasets.

Introducing a method to simplify boundary condition calculations for the Schrödinger equation.

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

Introducing improved techniques for wave scattering problems through innovative equations.

New techniques enhance fluid flow simulations for engineers and scientists.

Study reveals dynamics of waves and their applications in various fields.

Exploring efficient solutions for complex linear systems using multigrid techniques.

Introducing a novel approach to simulating particles in plasma environments using the Particle-in-Fourier scheme.

An overview of quasi-orthogonal polynomials and their applications in mathematics.

Explore the role of non-Hermitian Hamiltonians in modern physics.

This article discusses numerical methods for solving the fractional Korteweg-de Vries equation.

A new method enhances stability in min-max optimization processes.

Explore how lozenges create unique numerical patterns and their broader implications.

Researchers are advancing methods to solve large, sparse linear systems effectively.

Exploring the role of MSO in understanding linear recurrence sequences and their decidability.

This article discusses the benefits of hybrid high-order methods with geometric multigrid for solving linear systems.

This paper presents a new sub-polyhedral domain for optimizing machine learning compilers.

Exploring tensor neural networks to improve solutions in complex multiscale scenarios.

A look into how materials react under pressure using mathematical approaches.

An overview of finite-volume schemes and their applications in numerical analysis.

Improving the accuracy of numerical methods for phase separation analysis.

A method for solving complex quasiperiodic elliptic equations using the projection technique.

A detailed look at the behavior and characteristics of hypergeometric polynomials.

A look into orthogonal polynomials, their types, and significance.

New techniques improve wave equation solutions, enhancing accuracy and efficiency.

Learn about WENO methods and their applications in handling discontinuities.

A new method improves the speed and accuracy of Fourier-Bessel transforms in physics.

Advanced methods improve accuracy and efficiency in numerical solutions.

Explores the significance and applications of the stochastic Allen-Cahn equation in materials science.

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

New techniques enhance the efficiency of solving large linear systems.

Learn how multilevel methods improve error estimation in complex problem solving.

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

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

A new method efficiently handles shock formations in Burgers' equation.

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

This article reviews methods to sum non-converging matrix series.

A study on using measurements and numerical methods to solve elliptic PDEs.

Stable numerical methods enhance plasma flow simulation accuracy and applications.