Latest Articles for Numerical Methods

A library for calculating Green's functions in complex quantum systems.

A new approach combining deep learning and WENO for improved flow simulations.

Examining the role of Rayleigh waves in earthquake effects and material response.

Exploring the links between chemical signals and organism movement.

A method to manage nearly singular integrals in fluid mechanics and potential theory.

This research focuses on solitary waves and their stability in fluid dynamics.

Examining option pricing using partial differential equations in regime-switching markets.

New methods reduce computation time for solving complex equations.

Exploring fractional derivatives and their computational methods for accurate modeling in various fields.

A look at infeasible and critically feasible problems in optimal control.

New method improves efficiency in solving complex partial differential equations using neural networks.

Exploring the effects of randomness on phase separation in materials.

Researchers tackle challenges in quantum mechanics with innovative numerical methods.

Analyzing the complications of extrapolating completely monotone functions amid noisy data.

New methods in seismic imaging enhance subsurface mapping accuracy and efficiency.

A method to study seabed changes using shallow water wave measurements.

This study develops new methods for analyzing interactions in mean field games.

Examining methods used to simulate how solids move through fluids across various fields.

This article presents a detailed approach for simulating energy flow in high-temperature systems.

This study examines fluid behavior in porous materials using a two-scale approach.

This article discusses a new model to analyze pollution in lakes.

Exploring the turnpike property’s impact on solving Mean Field Games numerically.

A new method improves solving complex equations in multiple dimensions.

Examining critical phenomena and phase transitions through multicritical Yang-Lee models.

A new method improves heat transport modeling in complex plasma environments.

Exploring polynomial Ornstein-Uhlenbeck models for financial volatility and derivative pricing.

Learn about optimal transport and its applications in logistics and beyond.

This paper examines essential curves on a cube with vertex holes.

Exploring how mathematical models help understand biofilm behavior.

Innovative approaches improve the analysis of complex time series data.

New methods enhance predictions for composite materials in various industries.

Examining wave behavior in unique materials for technological applications.

This study develops efficient ways to model water movement in unsaturated soils.

Improving the accuracy of numerical methods for phase separation analysis.

Examining how bubbles collapse and their impact in various fields.

This study presents an efficient method for simulating water flow and plant uptake.

Exploring curves that minimize maximum bending between two points in various applications.

Using math models to improve understanding of prostate cancer progression.

Exploring the behavior and dynamics of soliton gases through collisions and simulations.

Research focuses on improving designs in fluid dynamics through topology optimization techniques.