Mathematics - Numerical Analysis

Improving aircraft efficiency through innovative GMRES optimization methods.

A new technique combines numerical methods and machine learning for PDE solutions.

New algorithms improve solutions for nonlinear equations in gas analysis.

Exploring new methods for more effective fluid-structure interaction simulations.

New model enhances fluid flow simulation in fractured porous media.

New designs inspired by nature using VoroTO enhance material performance efficiently.

A new numerical approach to solve the fractional KdV equation effectively.

A new MCMC method improves efficiency in complex data analysis.

A look at how EIT is improving medical imaging.

Takum numbers offer a better option for computer arithmetic, balancing small and large number efficiency.

Advanced methods improve accuracy and efficiency in numerical solutions.

A new method enhances the efficiency of solving the Kohn-Sham equation.

Introducing FB-LTS, a method improving efficiency in shallow water simulations.

New methods improve speed and efficiency in solving time-dependent equations.

Researchers use xGNN to improve solutions for challenging partial differential equations.

This article examines the exponential Euler scheme for SDEs with unique characteristics.

Introducing a precise method for third derivatives to improve wave equation analysis.

A closer look at Boussinesq systems and their role in wave behavior.

New methods improve efficiency in solving eigenvalue problems across scientific fields.

This study focuses on structural monitoring in fusion devices under various forces.

A study on proving connections between periodic solutions in differential equations.

Analyzing and mitigating discretization errors in Fourier Neural Operators for better predictions.

Multi-rate methods improve simulation efficiency for dynamic systems with varying rates of change.

A look into cosmic X-ray tomography and the methods to visualize cosmic strings.

An overview of applying Schwarz methods to nonlocal Dirichlet and Neumann problems.

New normalization methods improve spatial data predictions and analysis efficiency.

Discover how the truncation method enhances numerical differentiation across various fields.

An overview of Material Point Methods and their applications in studying materials.

A look into design optimization in engineering focusing on pressure and contact challenges.

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

Combining neural networks and traditional techniques to predict fluid behavior.

A look at Alternating Mirror Descent and its impact on two-player zero-sum games.

Homotopy methods improve shape optimization by connecting complex problems to simpler ones.

Improving numerical methods for gradient flows with a modified Lagrange multiplier approach.

New methods improve EIT for better medical imaging and diagnostics.

A new method enhances solutions for high-dimensional optimal control problems in finance and engineering.

A new approach to reconstruct wave behavior using limited measurements.

A new type system enhances rounding error analysis for numerical calculations.

Rank-revealers estimate matrix rank, aiding in data analysis, machine learning, and more.

New techniques improve precision in modeling multi-fluid flows for various industries.