Latest Articles for Numerical Analysis

ideal.II makes using space-time methods in deal.II easier for engineers and scientists.

Innovative techniques for simulating open quantum systems using the Lindblad equation.

A study of phase transitions in dimerized spin chains reveals complex quantum behavior.

Understanding simulations is key to improving electric machines and transformers.

Discover how Zolotarev rational functions manage values in different domains.

Combining methods to improve fluid dynamics modeling and solve challenges efficiently.

Analyzing stability of finite-volume schemes with non-uniform meshes in scientific computations.

Orthogonal polynomials offer unique properties useful in various mathematical applications.

Exploring methods and techniques for solving variational Poisson problems.

A new method offers efficient solutions for integral equations using neural networks.

Exploring the significance of Chebyshev polynomials in approximation theory with Jacobi weights.

Analyzing superconformal field theories with a focus on large charge effects.

A new method enhances stability in SPH simulations for solid dynamics.

Learn how homogenisation aids in understanding complex materials and systems effectively.

This article details numerical methods for approximating complex stochastic equations in nature and finance.

An overview of the implicit Euler method and its applications in differential inversion.

Exploring a novel proof for the B-series composition theorem using unlabelled trees.

A look into error estimation techniques in finite element methods.

ASPINN offers a fresh solution for challenging singularly perturbed differential equations.

A new method enhances solution transfer accuracy in complex simulations.

A new method improves parameter estimates in inverse problems affected by noise.

A new method enhances particle distribution in SPH simulations for better accuracy.

Learn how neural networks enhance the accuracy of Monte Carlo integration through control variates.

A new method enhances the efficiency of charged particle simulations.

A new approach enhances function approximation techniques using operators.

Exploring the stability of shock profiles in conservation laws using numerical methods.

Explore numerical methods for solving the Hunter-Saxton equation and their accuracy.

A detailed study on numerical methods for wave equations.

A concise look at Burgers' equation and its significance in fluid behavior.

Exploring numerical solutions for differential equations through spline functions and integral techniques.

A straightforward look at boundary integral equations and their applications.

New methods improve mathematical approximations significantly.

Learn how FEM tackles complex nonlinear equations in practical scenarios.

A look into sampling methods and their applications in data science.

Simplifying complex calculations in high-dimensional mathematics with a fresh cubature method.

A look into Hermite polynomials and their integration in physics.

Learn how Krylov methods help estimate numerical ranges of matrices.

Learn how Trefftz-like methods simplify complex mathematical problems.

Learn how FDM simplifies complex equations through grids and variable meshes.

Discover how quadrature rules and splines work together in numerical analysis.