Latest Articles for Numerical Analysis

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.

New methods enhance solutions for the Helmholtz problem in engineering and mathematics.

Researching energy stability in crystal simulations enhances material behavior predictions.

This article discusses shape optimization to enhance ionic concentration in electrochemical systems.

Quantum annealing offers fresh methods for tackling optimization challenges across various fields.

This article discusses the importance of learning operators in Banach spaces for scientific computing.

New methods enhance stability and accuracy in complex matrix systems.

Discover methods to solve complex algebraic equations efficiently using the ADI approach.

New schemes enhance weak convergence in stochastic differential equations with super-linear coefficients.

A new approach for finding leading eigenvectors in complex matrices.

Exploring behaviors of a key mathematical equation in wave dynamics.

Study of phase separation through advanced numerical techniques.

New methods improve efficiency and accuracy in handling stiff differential equations.

Examining how perturbations affect eigenvalues in Rosenbrock systems and their implications.

Explore techniques for minimizing functions using gradient methods and their applications.

New methods offer efficient solutions for operator exponentials in various fields.

New techniques improve accuracy in analyzing nearly incompressible materials.

Introducing a novel method to enhance accuracy in reaction-diffusion equation simulations.

A look into minimal cubature rules for accurate numerical integration.