Mathematics - Numerical Analysis

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

Machine LearningAdvancing Predictions in Dynamical Systems with Mamba

Mamba offers a new way to analyze complex systems using machine learning.

Zheyuan Hu, Nazanin Ahmadi Daryakenari, Qianli Shen

2025-06-10T03:08:28+00:00 ― 7 min read

Optimization and ControlSimplifying Large Data Analysis with Compressed NMF

Compressed NMF offers a practical solution for analyzing large datasets efficiently.

Abraar Chaudhry, Elizaveta Rebrova

2025-06-10T02:16:11+00:00 ― 7 min read

Numerical AnalysisAdvancements in Atmospheric Modeling with Moisture Dynamics

A new method enhances moisture representation in weather models.

Nell Hartney, Thomas M. Bendall, Jemma Shipton

2025-06-10T00:33:57+00:00 ― 4 min read

Analysis of PDEsSimplifying Complex Systems with Homogenisation

Learn how homogenisation aids in understanding complex materials and systems effectively.

Andreas Buchinger, Sebastian Franz, Nathanael Skrepek

2025-06-10T00:02:33+00:00 ― 4 min read

Numerical AnalysisNumerical Methods for Stochastic Partial Differential Equations

This article details numerical methods for approximating complex stochastic equations in nature and finance.

Aurelien Junior Noupelah, Jean Daniel Mukam, Antoine Tambue

2025-06-09T16:39:25+00:00 ― 6 min read

Numerical AnalysisNeural Networks and Total Variation Minimization in Image Processing

A deep dive into neural networks for total variation minimization in images.

Andreas Langer, Sara Behnamian

2025-06-09T14:54:33+00:00 ― 6 min read

Numerical AnalysisAdvancing Numerical Methods for Photonic Quasicrystals

New techniques improve light simulation in advanced materials with complex structures.

Zixuan Gao, Zhenli Xu, Zhiguo Yang

2025-06-09T14:28:20+00:00 ― 5 min read

Numerical AnalysisImpact of Vapor Bubble Collapse on Solid Structures

This study examines how collapsing vapor bubbles affect nearby solid materials.

Niklas Kolbe, Siegfried Müller

2025-06-09T14:02:07+00:00 ― 5 min read

Numerical AnalysisAnalyzing the Implicit Euler Method and Differential Inversion

An overview of the implicit Euler method and its applications in differential inversion.

Uwe Naumann

2025-06-09T13:35:54+00:00 ― 5 min read

Analysis of PDEsMathematical Models in Prostate Cancer Treatment

New techniques aim to improve prostate cancer treatment through data-driven models.

Elena Beretta, Cecilia Cavaterra, Matteo Fornoni

2025-06-09T12:18:45+00:00 ― 5 min read

Machine LearningDistributed Neural Networks for Eigenvalue Computation

A novel method using neural networks to compute eigenvalues in large matrices.

Ronald Katende

2025-06-09T05:44:00+00:00 ― 5 min read

Optimization and ControlKolmogorov-Arnold Networks in Optimal Control Problems

Exploring how KANs improve solutions for optimal control challenges across various fields.

Alireza Afzal Aghaei

2025-06-09T05:17:47+00:00 ― 5 min read

Numerical AnalysisUnderstanding Block Structured Matrices in Practical Applications

Explore the significance and uses of block structured matrices in math and engineering.

Isabella Furci, Andrea Adriani, Stefano Serra-Capizzano

2025-06-09T04:25:21+00:00 ― 4 min read

Numerical AnalysisUnderstanding Multiphase Flow Through Lattice Boltzmann Method

Explore the role of Lattice Boltzmann Method in studying multiphase flows.

Matteo Maria Piredda, Pietro Asinari

2025-06-08T18:36:18+00:00 ― 5 min read

Numerical AnalysisAdvancements in Numerical Methods for Quantum Systems

New techniques in managing quantum systems enhance density matrix calculations.

Daniel Appelo, Yingda Cheng

2025-06-08T18:04:54+00:00 ― 6 min read

Numerical AnalysisA New Method for Fluid Dynamics Analysis

Introducing a robust method for solving Navier-Stokes equations in fluid dynamics.

Daniel Castanon Quiroz, Daniele A. Di Pietro

2025-06-08T17:03:43+00:00 ― 5 min read

Machine LearningAdvancements in Adaptive Hierarchical Matrices for Neural Networks

A new method improves neural network efficiency in scientific applications.

John Mango, Ronald Katende

2025-06-08T16:37:30+00:00 ― 5 min read

Machine LearningEvaluating Machine-Learned Force Fields in Solid Materials

Study of machine-learning models predicting properties in solid materials, focusing on defects.

Shaswat Mohanty, Yifan Wang, Wei Cai

2025-06-08T09:26:48+00:00 ― 5 min read

Numerical AnalysisImproving Solutions to Linear Inverse Problems

Techniques for solving challenges in data interpretation using mixed precision and regularization.

James G. Nagy, Lucas Onisk

2025-06-08T05:42:05+00:00 ― 6 min read

Numerical AnalysisImproving Fluid Dynamics Simulations with Machine Learning

Rational neural networks enhance fluid dynamics accuracy and efficiency in simulations.

Shantanu Shahane, Sheide Chammas, Deniz A. Bezgin

2025-06-07T18:20:27+00:00 ― 5 min read

Numerical AnalysisApproximating Singular Values: Methods and Insights

A study on techniques for approximating singular values in various applications.

Lorenzo Lazzarino, Hussam Al Daas, Yuji Nakatsukasa

2025-06-07T17:28:01+00:00 ― 6 min read

Numerical AnalysisModeling Pollution Spread in Longyearbyen

Exploring methods to simulate air pollution from a coal power plant.

Maciej Sikora, Albert Oliver-Serra, Leszek Siwik

2025-06-07T15:43:09+00:00 ― 5 min read

Numerical AnalysisEfficient Simulation of Turbulent Flows Using Reduced-Order Models

Methods to enhance efficiency in simulating complex turbulent flows.

Toby van Gastelen, Wouter Edeling, Benjamin Sanderse

2025-06-07T15:16:56+00:00 ― 8 min read

Numerical AnalysisMultiscale Method Tackles Blurry Images

A structured approach to recover clear images from blurred versions using MHDM.

Tobias Wolf, Stefan Kindermann, Elena Resmerita

2025-06-07T13:58:17+00:00 ― 6 min read

Numerical AnalysisA New Approach to B-Series Composition Theorem

Exploring a novel proof for the B-series composition theorem using unlabelled trees.

John C. Butcher, Taketomo Mitsui, Yuto Miyatake

2025-06-07T12:13:25+00:00 ― 6 min read

Numerical AnalysisAdvancing Linear Equation Solutions with TT-GMRES

A new method improves solving complex linear equations efficiently.

Alberto Bucci, Davide Palitta, Leonardo Robol

2025-06-07T07:25:02+00:00 ― 5 min read

Computer Vision and Pattern RecognitionAdvancements in Camera Synchronization Using Trifocal Tensors

A new method improves camera synchronization through innovative use of trifocal tensors.

Daniel Miao, Gilad Lerman, Joe Kileel

2025-06-07T06:06:23+00:00 ― 8 min read

Numerical AnalysisEvaluating Solvers for Sparse Linear Systems

A detailed analysis of solvers for sparse linear systems with challenging conditions.

Marcel Ferrari

2025-06-07T03:29:09+00:00 ― 7 min read

Numerical AnalysisAdvancing Poroelasticity with Lattice Boltzmann Methods

Introducing a new method for Biot's consolidation model using lattice Boltzmann techniques.

Stephan B. Lunowa, Barbara Wohlmuth

2025-06-07T03:13:27+00:00 ― 6 min read