Computer Science - Numerical Analysis

Fluid DynamicsModels 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 PhysicsNew 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 SocietyModifying 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 LearningOperator 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 AnalysisAdvancements 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 LearningModeling 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 AnalysisUnderstanding 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 ODEsIdentifying 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 AnalysisUnderstanding 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 AnalysisAdvancements 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 AnalysisImproving 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 PDEsInsights 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 AnalysisNew 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 ScienceAdvancements 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 LearningAdvancements 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 PhysicsNew 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 AnalysisEfficient 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 AnalysisAdvancing 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 AnalysisInnovative 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 AnalysisSolutions 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 ProcessingAdvancements 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 AnalysisUsing 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 AnalysisApproximating 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 AnalysisA 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 AnalysisAdvancements 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 AnalysisNew 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 AnalysisIntroducing 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 LearningIntegrating 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 PhysicsAdvancements 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 AnalysisSimplifying 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 LearningCombining 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

Numerical AnalysisHow Tiny Creatures Swim with Precision

Researchers unveil the mechanics behind the swimming of tiny organisms using cilia and flagella.

François Alouges, Irene Anello, Antonio DeSimone

2025-06-11T05:47:50+00:00 ― 7 min read

Numerical AnalysisAnalyzing Poroelasticity Through Mixed Finite Element Methods

A look at how mixed FEM aids in studying poroelastic materials.

Arbaz Khan, Bishnu P. Lamichhane, Ricardo Ruiz-Baier

2025-06-11T05:21:37+00:00 ― 6 min read

Machine LearningAdvancements in Optimal Sampling for Approximation

An overview of optimal sampling methods in least-squares approximation.

Ben Adcock

2025-06-11T00:00:08+00:00 ― 7 min read

Numerical AnalysisSecuring the Power Grid Against Cyber Threats

Understanding how to protect the power grid from cyber attacks using graph theory.

Khandaker Akramul Haque, Leen Al Homoud, Xin Zhuang

2025-06-10T19:44:51+00:00 ― 5 min read

Numerical AnalysisMinimizing Pseudospectral Abscissa for System Stability

This article covers techniques to enhance system stability through damping optimization.

Volker Mehrmann, Emre Mengi

2025-06-10T19:18:38+00:00 ― 6 min read

Numerical AnalysisA New Approach to Interface Problems Using TFPONets

Introducing TFPONets for solving interface problems with deep learning techniques.

Ye Li, Ting Du, Zhongyi Huang

2025-06-10T08:49:26+00:00 ― 6 min read

Machine LearningA New Approach to Singularly Perturbed Differential Equations

Introducing ComFNO, a method for tackling complex differential equations using deep learning.

Ye Li, Ting Du, Yiwen Pang

2025-06-10T08:23:13+00:00 ― 5 min read

Cryptography and SecurityEnsuring Data Integrity in Financial Systems

Explore methods to maintain accurate and reliable financial data.

Ignacio Brasca

2025-06-10T05:19:42+00:00 ― 5 min read

Numerical AnalysisNew Approaches to Inverse Problems

Innovative methods for efficient solutions to complex inverse problems in various fields.

Ariana N. Brown, Julianne Chung, James G. Nagy

2025-06-10T04:27:16+00:00 ― 6 min read