Mathematics - Numerical Analysis

RSS

Numerical Analysis A New Approach to Efficient Simulation in Engineering

Combining domain decomposition and operator inference for faster simulations.

Ian Moore, Christopher Wentland, Anthony Gruber

2025-06-15T14:08:48+00:00 ― 7 min read

Latest Articles

Numerical Analysis Stability in Numerical Methods on Non-Uniform Meshes

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

Pavel Bakhvalov, Mikhail Surnachev

2025-06-14T23:48:28+00:00 ― 6 min read

Numerical Analysis Hybrid Methods for Particle Simulation

A new approach for simulating non-interacting particle dynamics effectively.

Ana Djurdjevac, Ann Almgren, John Bell

2025-06-14T14:37:55+00:00 ― 5 min read

Numerical Analysis Advanced Modeling of Multicomponent Flows

Innovative methods improve understanding of fluid mixtures in various applications.

Aaron Baier-Reinio, Patrick E. Farrell

2025-06-14T13:45:29+00:00 ― 7 min read

Numerical Analysis Optimal Control of Systems Governed by PDEs

A streamlined approach to control systems using automated tools.

Santolo Leveque, James R. Maddison, John W. Pearson

2025-06-14T12:53:03+00:00 ― 6 min read

Optimization and Control Optimizing Satellite Operations for Earth Observation

A new method improves satellite coordination for efficient Earth observation.

Vincenzo Basco

2025-06-14T12:26:50+00:00 ― 5 min read

Optimization and Control Coordinating Earth Observation Satellites Efficiently

Optimizing satellite missions through decentralized decision-making and effective communication.

Vincenzo Basco

2025-06-14T12:00:37+00:00 ― 5 min read

Numerical Analysis Numerical Testing in Variational Problems

Exploring methods and techniques for solving variational Poisson problems.

Andrea Bressan, Massimiliano Martinelli, Giancarlo Sangalli

2025-06-14T11:34:24+00:00 ― 5 min read

Computational Engineering, Finance, and Science Advancing Masonry Analysis with Machine Learning

Machine learning improves the analysis of masonry structures for better safety and longevity.

Alejandro Cornejo, Philip Kalkbrenner, Riccardo Rossi

2025-06-14T08:57:06+00:00 ― 6 min read

Numerical Analysis A New Approach to Multi-Dimensional Diffusion Processes

An effective method for approximating complex diffusion behaviors in various fields.

Yuga Iguchi, Toshihiro Yamada

2025-06-14T04:34:56+00:00 ― 4 min read

Fluid Dynamics Models of Turbulence: A Look into Fluid Behavior

Examining turbulence models and data assimilation for fluid behavior predictions.

Debora A. F. Albanez, Maicon Jose Benvenutti, Samuel Little

2025-06-14T01:38:39+00:00 ― 5 min read

Quantum Physics New Methods for Quantum Particle Simulations

Innovative approaches to simulate time-dependent behavior of particles in quantum systems.

Jorge Gidi, Paula García-Molina, Luca Tagliacozzo

2025-06-14T01:15:06+00:00 ― 6 min read

Physics and Society Modifying Centrality in Complex Networks

A study on adjusting centrality in networks for various applications.

Stefano Cipolla, Fabio Durastante, Beatrice Meini

2025-06-14T00:51:33+00:00 ― 6 min read

Machine Learning Operator Learning: Advancements and Applications

A look into how operator learning is shaping modern mathematical modeling.

Emanuele Zappala, Maryam Bagherian

2025-06-13T22:54:07+00:00 ― 5 min read

Numerical Analysis Advancements in Fluid Simulation Techniques

New methods improve fluid simulations using point clouds for better efficiency and accuracy.

Jason Hicken, Ge Yan, Sharanjeet Kaur

2025-06-13T22:27:54+00:00 ― 6 min read

Machine Learning Modeling Slow Changes in Complex Systems

A new method for predicting slow dynamics in multiscale systems using data-driven techniques.

Yuan Chen, Dongbin Xiu

2025-06-13T20:25:36+00:00 ― 6 min read

Numerical Analysis Understanding Age-Structured Models in Population Dynamics

Explore how age-structured models reveal insights into population and disease growth.

Simone De Reggi, Francesca Scarabel, Rossana Vermiglio

2025-06-13T10:40:03+00:00 ― 4 min read

Classical Analysis and ODEs Identifying Shapes Through Data Sampling

Learn how sampling methods help reveal polygon properties.

Mihail N. Kolountzakis, Emmanuil Spyridakis

2025-06-13T09:47:37+00:00 ― 3 min read

Numerical Analysis Understanding Option Pricing Models

A look at how financial models price options in varying market conditions.

J. G. López-Salas, M. Suárez-Taboada, M. J. Castro

2025-06-13T07:10:19+00:00 ― 5 min read

Numerical Analysis Advancements in Option Pricing Techniques

A look at numerical methods enhancing option pricing in finance.

J. G. López-Salas, M. Suárez-Taboada, M. J. Castro

2025-06-13T06:44:06+00:00 ― 5 min read

Numerical Analysis Improving Image Reconstruction with Nested Bregman Iterations

A structured approach to image decomposition enhancing clarity and detail.

Tobias Wolf, Derek Driggs, Kostas Papafitsoros

2025-06-13T05:51:40+00:00 ― 7 min read

Analysis of PDEs Insights into Nonlinear Acoustics Models

Examining various models and their behaviors in nonlinear acoustics.

Herbert Egger, Marvin Fritz

2025-06-13T05:25:27+00:00 ― 5 min read

Numerical Analysis New Method for Simulating Variable Density Water Flows

This study presents a novel method for modeling water flows influenced by density changes.

Lukas Lundgren, Christian Helanow, Jonathan Wiskandt

2025-06-13T04:59:14+00:00 ― 4 min read

Computational Engineering, Finance, and Science Advancements in Topology Optimization with Feature Mapping

A new framework improves design flexibility and efficiency in topology optimization.

Rahul Kumar Padhy, Pramod Thombre, Krishnan Suresh

2025-06-12T22:25:59+00:00 ― 5 min read

Machine Learning Advancements in Approximating Integral Operators

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

Alireza Afzal Aghaei, Mahdi Movahedian Moghaddam, Kourosh Parand

2025-06-12T14:34:05+00:00 ― 6 min read

Mathematical Physics New Method for Calculating Wannier Functions in Materials

A simplified approach to compute Wannier functions improves material research.

Abinand Gopal, Hanwen Zhang

2025-06-12T14:19:09+00:00 ― 4 min read

Numerical Analysis Efficient Method for Analyzing Motion in Fluids

A novel approach to calculating movements of particles in three-dimensional fluids.

Anna Broms, Alex H. Barnett, Anna-Karin Tornberg

2025-06-12T14:11:18+00:00 ― 5 min read

Numerical Analysis Advancing Fluid Dynamics with Neural Networks

New methods combine neural networks and finite element techniques to improve fluid flow simulations.

Franziska Griese, Fabian Hoppe, Alexander Rüttgers

2025-06-12T13:55:36+00:00 ― 7 min read

Numerical Analysis Innovative Approaches to Graph Clustering

Exploring new methods and applications for clustering in graph theory.

Costy Kodsi, Dimosthenis Pasadakis

2025-06-12T13:41:39+00:00 ― 4 min read

Numerical Analysis Solutions to Urysohn Integral Equations

Exploring methods for solving Urysohn integral equations with various kernels.

Shashank K. Shukla, Gobinda Rakshit

2025-06-12T13:15:26+00:00 ― 4 min read

Signal Processing Advancements in Free-Space Optical Communication Estimation

A new method improves parameter estimation for optical communication systems.

Maoke Miao, Xinyu Zhang, Bo Liu

2025-06-12T11:56:47+00:00 ― 5 min read

Numerical Analysis Using Variational Multiscale Method for Advection-Diffusion Problems

A method for improving accuracy in solving advection-diffusion issues across dimensions.

Suyash Shrestha, Marc Gerritsma, Gonzalo Rubio

2025-06-12T02:16:57+00:00 ― 4 min read

Numerical Analysis Approximating Curvature Flows on Surfaces

Methods for approximating mean curvature flow and hyperbolic mean curvature flow on surfaces.

Elliott Ginder, Karel Svadlenka, Takuma Muramatsu

2025-06-12T01:53:48+00:00 ― 8 min read

Numerical Analysis A New Approach to Solving PDEs

Combining traditional methods with AI to enhance PDE solutions.

Xiaodong Feng, Haojiong Shangguan, Tao Tang

2025-06-12T00:35:09+00:00 ― 6 min read

Numerical Analysis Advancements in Tackling Stokes Problems

A look at numerical methods for efficient fluid flow solutions.

A. Badahmane, A. Ratnani, H. Sadok

2025-06-11T23:42:43+00:00 ― 5 min read

Numerical Analysis New Methods for Testing Cointegration in Time Series Analysis

Innovative approaches enhance cointegration testing using optimization strategies.

Alvey Qianli Lin, Zhiwen Zhang

2025-06-11T21:57:51+00:00 ― 5 min read

Numerical Analysis Introducing the Second Moment Method in Nuclear Engineering

A new method streamlines nuclear reactor calculations successfully.

Zachary K. Hardy, Jim E. Morel, Jan I. C. Vermaak

2025-06-11T08:05:48+00:00 ― 5 min read

Machine Learning Integrating Machine Learning with PDEs for Scientific Modeling

A new framework combines machine learning and PDEs for efficient scientific modeling.

Nacime Bouziani, David A. Ham, Ado Farsi

2025-06-11T07:42:15+00:00 ― 5 min read

Computational Physics Advancements in Heat Transport Modeling for Plasmas

New methods improve heat transport simulations in anisotropic plasmas for fusion research.

L. Chacon, Jason Hamilton, Natalia Krasheninnikova

2025-06-11T07:34:24+00:00 ― 5 min read

Numerical Analysis Simplifying Fluid Dynamics with Reduced-Order Models

Researchers create simpler models to predict complex fluid behaviors efficiently.

Diana A. Bistrian, Gabriel Dimitriu, Ionel M. Navon

2025-06-11T06:40:16+00:00 ― 6 min read

Machine Learning Combining Machine Learning and Physics for Fractional Differential Equations

A new method merges physics and machine learning to address complex mathematical equations.

Alireza Afzal Aghaei

2025-06-11T06:14:03+00:00 ― 6 min read