Latest Articles for Numerical Methods

Tao's method offers a simple way to maintain symplectic structure in simulations.

A study on improving solutions for boundary conditions in mathematics and engineering.

This article reviews various techniques for orientation averaging in molecular physics.

This article presents methods to stabilize parabolic equations with control systems against disturbances.

Research provides accurate charm quark mass measurement using advanced numerical methods.

Comparing Finite Volume and Finite Difference methods for seismic wave simulations.

Explore how the Andrade model explains material behavior under stress.

A look at high-order numerical methods for fluid dynamics.

New algorithm enhances elliptical slice sampling for truncated distributions.

Learn how to address discounted control problems affected by time delays.

A new method improves solutions to complex elliptic PDEs in engineering and science.

New methods improve accuracy in fluid-solid interaction modeling within poroelasticity.

A method that improves finite element analysis using arbitrary meshes.

A new approach to enhance accuracy in hyperbolic conservation laws using jump filters.

This article presents a new method for simulating quantum systems with changing forces.

Discover a promising approach to solving challenging equations in physics and engineering.

Effective methods for overcoming complex fluid dynamics challenges.

Automatic differentiation improves FFT methods for better material behavior analysis.

Explore how random time steps improve solutions to ordinary differential equations.

Exploring the role of spectral methods and W-systems in solving complex PDEs.

A new Lattice Boltzmann formulation enhances simulations in linear elastodynamics.

New methods improve spacecraft trajectory predictions through better uncertainty management.

A look at techniques for calculating Feynman integrals and their significance.

A look at boundary integral methods for heat transfer applications.

New methods improve the calculation of elliptic functions with high precision.

A new approach improves accuracy in fluid flow simulations through complex materials.

A look at new methods for solving complex quantum few-body systems.

New methods improve accuracy in modeling rarefied gas flows with moving boundaries.

Exploring numerical methods for uncertain systems with stochastic differential equations.

Combining quantum and classical methods to improve plasma simulation accuracy and efficiency.

A look into eigenvalue problems and methods for their resolution.

Improving Helmholtz equation solutions with multipreconditioning and sweeping methods.

A look at solitary waves and their significance in fluid dynamics.

This method speeds up blood flow simulations using innovative mathematical techniques.

Exploring light behavior around stars and their surrounding dust.

Using low-precision posits can improve efficiency and accuracy in calculations.

A new method combines level-set and polytopic approaches for shape optimization.

A look into implicit Euler schemes and their role in solving differential equations.

A novel approach to handle dynamic boundary conditions in wave equations.

New correction strategies enhance numerical methods for modeling complex physical systems.