Latest Articles for Numerical Analysis

A new method for measuring discretization errors using Wishart distribution.

This article presents a method to ensure accurate solutions for shallow water equations.

Generalized SBP operators enhance numerical modeling of complex problems.

This article presents an efficient method to minimize integral functionals in various fields.

Innovative technique improves efficiency in fluid flow and wave analysis.

Starlike functions play a vital role in complex analysis and diverse applications.

Jacobi functions are vital in solving complex mathematical and physical problems.

Learn how reduced order models streamline computations in numerical analysis.

An overview of complex projective hypersurfaces and their significance in mathematics.

Streamline complex problem simulations using reduced order models and effective management strategies.

An overview of multivariate polynomial splines and their applications.

Using neural networks to solve challenging equations with sudden changes.

Analyzing the impact of regularity on solutions of parametric eigenvalue problems.

Examining the impact of the Jost function on particle interactions.

This article discusses finding solutions for stochastic delay differential equations and their significance.

Exploring the significance and applications of spherical curves in various fields.

A study on using data-driven methods to learn material behaviors with discontinuities.

This article examines the stability of piecewise flat Ricci flow and strategies to improve numerical accuracy.

Exploring how infinite delay equations shape our understanding of ecological and epidemiological dynamics.

A new method enhances solutions for complex multi-scale problems using neural networks.

Discover the latest methods improving efficiency in bilevel optimization.

Exploring Vieta-Lucas wavelets for effective solutions to complex equations.

This study provides new insights into planar spline dimensions and their uses.

Exploring how fluids interact with solid materials, impacting engineering and medicine.

A look into efficient sparse matrix-vector product implementations for scientific applications.

This article discusses importance sampling and biasing methods in complex systems.

A look into the implications of Sawada-Kotera and Kaup-Kupershmidt equations on wave phenomena.

This article introduces a method for aligning closed curves in two-dimensional space.

A new algorithm automates the evaluation of complex oscillatory integrals.

A method to solve block lower triangular Toeplitz systems efficiently using preconditioned MINRES.

Research presents a new numerical method for studying cancer cell movement.

A look into THB-splines and B ezier extraction for better design.

A look at orthogonal polynomials influenced by weight functions, focusing on practical applications.

Examining the interactions between materials under various forces.

This study presents a method for numerical solutions of the Equal Width Wave equation.

Exploring the behavior of shapes through Neumann and Steklov eigenvalues.

Explore the role of numerical methods in understanding Lie systems across various fields.

Innovative techniques improve simulation efficiency for complex materials under stress.

This work presents a new method for solving complex PDEs using neural networks.

Exploring a geometric method for eigenvalue approximation in banded Toeplitz matrices.