Mathematics - Numerical Analysis

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

Numerical AnalysisThe Dynamics of Liquid Crystals: Applications and Models

Explore the behavior and applications of liquid crystals in technology and research.

Jacob Elafandi, Franziska Weber

2025-06-07T00:25:34+00:00 ― 5 min read

Numerical AnalysisImproving Image Clarity Through Bayesian Techniques

A new method recovers clear images from blurred versions using Bayesian inference.

Rafael Flock, Shuigen Liu, Yiqiu Dong

2025-06-06T23:33:08+00:00 ― 7 min read

Machine LearningCentrifugal Clutches and Their Impact on Automatic Transmissions

Learn how centrifugal clutches enhance automatic transmission performance in vehicles.

Bo-Yi Lin, Kai Chun Lin

2025-06-06T23:06:55+00:00 ― 5 min read

Numerical AnalysisUnderstanding Variable-Order Diffusion Equations

A deep dive into variable-order diffusion equations and their solution methods.

Joaquín Quintana-Murillo, Santos Bravo Yuste

2025-06-06T15:50:30+00:00 ― 6 min read

Numerical AnalysisEstimating Errors in Neumann Boundary Control Problems

A look into error estimation techniques in finite element methods.

Johannes Pfefferer, Boris Vexler

2025-06-06T09:34:12+00:00 ― 4 min read

Numerical AnalysisAdvancements in Low-Rank Quaternion Tensors for Image Processing

Innovative methods for improving image accuracy and clarity through quaternion tensor techniques.

Alaeddine Zahir, Ahmed Ratnani, Khalide Jbilou

2025-06-06T09:07:59+00:00 ― 5 min read

Machine LearningAdvancing Non-Intrusive Modeling for Complex Systems

A method for efficient modeling of complex systems while preserving key properties.

Süleyman Yıldız, Pawan Goyal, Peter Benner

2025-06-06T06:04:28+00:00 ― 5 min read

Numerical AnalysisA New Approach to Solving Complex Physics Problems

Introducing PI-TFPONet: a method for solving parametric PDEs without large datasets.

Ting Du, Xianliang Xu, Wang Kong

2025-06-06T04:45:49+00:00 ― 5 min read

Numerical AnalysisUnderstanding the Signature of Brownian Motion

A look into how Brownian motion impacts simulations in various fields.

James Foster

2025-06-06T03:00:57+00:00 ― 4 min read

Instrumentation and DetectorsAdvancements in Nuclear Reactor Monitoring with SHRED

Real-time reactor state estimation through innovative data-driven techniques.

Stefano Riva, Carolina Introini, Antonio Cammi

2025-06-06T01:19:09+00:00 ― 6 min read

ComputationAdvancements in Data Assimilation Techniques

New methods improve predictions in complex systems, especially in geoscience.

Hamza Ruzayqat, Omar Knio

2025-06-06T00:40:36+00:00 ― 5 min read

Numerical AnalysisImproving Solution Transfer in Finite Element Methods

A new method enhances solution transfer accuracy in complex simulations.

Logan Larose, Jude T. Anderson, David M. Williams

2025-06-05T19:09:03+00:00 ― 5 min read

Numerical AnalysisRestoring Images Affected by Salt-and-Pepper Noise

A method for cleaning images with salt-and-pepper noise using the L TV model.

Yuan Liu, Peiqi Yu, Chao Zeng

2025-06-05T16:57:58+00:00 ― 6 min read

Numerical AnalysisNew Insights into Nonlinear Eigenvalue Problems

Examining advances in solving nonlinear eigenvalue problems across various fields.

Ronald Katende

2025-06-05T16:31:45+00:00 ― 5 min read

Machine LearningImproving Data Sampling with Localization Techniques

Local sampling offers a new way to handle complex data efficiently.

Georg A. Gottwald, Sebastian Reich

2025-06-05T16:19:56+00:00 ― 6 min read

Numerical AnalysisAddressing Backward Stochastic Partial Differential Equations with Innovative Methods

This article discusses new techniques for solving BSPDEs effectively.

Yixiang Dai, Yunzhang Li, Jing Zhang

2025-06-05T15:39:19+00:00 ― 4 min read

Numerical AnalysisAdvancements in Shape Modeling for Physics

New approaches improve modeling of physical behaviors in varying geometries.

Linying Zhang, Stefano Pagani, Jun Zhang

2025-06-05T07:47:25+00:00 ― 7 min read