Mathematics - Numerical Analysis

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Numerical Analysis Estimating Numerical Ranges with Krylov Subspace Methods

Learn how Krylov methods help estimate numerical ranges of matrices.

Cecilia Chen, John Urschel

2025-04-24T08:54:54+00:00 ― 4 min read

Latest Articles

Numerical Analysis Tackling Integrals with Singularities

A look at methods for integrating functions with singularities.

Tomoaki Okayama, Kosei Arakawa, Ryo Kamigaki

2025-04-21T04:19:20+00:00 ― 4 min read

Numerical Analysis Navigating the Challenges of Inverse Problems with Non-Additive Noise

A study on handling errors in inverse problems affected by noise.

Diana-Elena Mirciu, Elena Resmerita

2025-04-21T01:39:30+00:00 ― 5 min read

Machine Learning Revving Up Mutual Information Calculations

A faster method for analyzing data connections boosts research potential.

Andre O. Falcao

2025-04-20T20:19:50+00:00 ― 7 min read

Numerical Analysis Transforming City Traffic Management

A new model for better traffic flow in urban areas.

N. Garcia-Chan, L. J. Alvarez-Vazquez, A. Martinez

2025-04-20T17:40:00+00:00 ― 7 min read

Numerical Analysis Lifex Library 2.0: Key Updates Unveiled

Learn about the latest features and improvements in Lifex Library 2.0.

Michele Bucelli

2025-04-20T15:00:10+00:00 ― 5 min read

Numerical Analysis Updating Katz Centrality in Dynamic Networks

Learn how to efficiently update Katz centrality scores in changing networks.

Francesca Arrigo, Daniele Bertaccini, Alessandro Filippo

2025-04-20T09:40:30+00:00 ― 5 min read

Numerical Analysis Revolutionizing Magnetohydrodynamics with New Method

A new method improves understanding of fluid dynamics affected by magnetic fields.

Min Zhang, Zimo Zhu, Qijia Zhai

2025-04-20T04:20:50+00:00 ― 6 min read

Numerical Analysis Optimizing Aerodynamics Through Windowing Techniques

Learn how windowing techniques improve aerodynamic shape optimization for vehicles.

Steffen Schotthöfer, Beckett Y. Zhou, Tim Albring

2025-04-18T07:03:40+00:00 ― 7 min read

Numerical Analysis Revolutionizing Conductivity Measurements with Deep Learning

New methods enhance the study of electrical conductivity in materials.

Siyu Cen, Bangti Jin, Xiyao Li

2025-04-18T01:44:00+00:00 ― 5 min read

Sound Personal Sound Zones: The Future of Listening

Explore how personal sound zones transform audio experiences in everyday life.

Neil Jerome A. Egarguin, Daniel Onofrei

2025-04-17T23:04:10+00:00 ― 6 min read

Computer Vision and Pattern Recognition Surface Segmentation: Breaking Down Shapes

A deep dive into techniques for segmenting surfaces in computer vision.

Lukas Baumgärtner, Ronny Bergmann, Roland Herzog

2025-04-17T20:24:20+00:00 ― 7 min read

Classical Analysis and ODEs Understanding Rough Differential Equations

A look into modeling complex systems affected by randomness.

Peter H. C. Pang

2025-04-17T15:04:40+00:00 ― 5 min read

Numerical Analysis Unlocking the WKB Method: A Simplified Approach to Complex Equations

Discover how the WKB method simplifies challenging equations in physics and mathematics.

Robert M. Corless, Nicolas Fillion

2025-04-15T20:27:20+00:00 ― 7 min read

Numerical Analysis Understanding Trefftz-Like Methods for Problem Solving

Learn how Trefftz-like methods simplify complex mathematical problems.

Philip L. Lederer, Christoph Lehrenfeld, Paul Stocker

2025-04-15T17:47:30+00:00 ― 4 min read

Machine Learning Transforming Turbulent Flow Predictions with Smart Models

New models accelerate predictions of turbulent flow for innovative design.

Shinjan Ghosh, Julian Busch, Georgia Olympia Brikis

2025-04-15T16:03:48+00:00 ― 5 min read

Differential Geometry Advancements in Hurricane Forecasting Techniques

Learn how modern methods improve hurricane predictions and preparedness.

Esfandiar Nava-Yazdani

2025-04-12T21:48:53+00:00 ― 7 min read

Numerical Analysis Revolutionizing CT Imaging with Deep Guess Acceleration

A new method improves CT scans by combining deep learning with image reconstruction.

Elena Loli Piccolomini, Davide Evangelista, Elena Morotti

2025-04-12T01:53:00+00:00 ― 6 min read

Methodology How Our Brains Communicate: A Closer Look

Discover how brain areas interact and why it matters.

Laura Carini, Isabella Furci, Sara Sommariva

2025-04-11T05:07:25+00:00 ― 5 min read

Numerical Analysis The Magic of Materials: MPM Explained

Discover how engineers use MPM to understand material behavior under stress.

Robert E. Bird, Giuliano Pretti, William M. Coombs

2025-04-11T04:34:20+00:00 ― 6 min read

Numerical Analysis Taming Indefinite Matrices: Challenges and Solutions

Learn how to handle the complexities of indefinite matrices with effective strategies.

Andy Wathen

2025-04-11T01:54:30+00:00 ― 6 min read

Numerical Analysis Taming Data Noise with Subdivision Rules

Learn how subdivision rules enhance data clarity by reducing noise effectively.

Sergio López Ureña, Dionisio F. Yáñez

2025-04-10T15:15:10+00:00 ― 5 min read

Numerical Analysis PEIFE-linear Method: A Speedy Solution to Parabolic Equations

A new method offers faster solutions to linear parabolic equations in science.

Jianguo Huang, Yuejin Xu

2025-04-10T09:55:30+00:00 ― 5 min read

Fluid Dynamics The Science of Droplet Behavior on Surfaces

Learn how droplets act on surfaces and their impact in various industries.

Riley M Whebell, Timothy J Moroney, Ian W Turner

2025-04-09T22:20:10+00:00 ― 6 min read

Quantum Physics The Dance of Protons: Quantum Dynamics in Water Clusters

Discover how protons move and interact in water at the quantum level.

Debadrita Saha, Philip Richerme, Srinivasan S. Iyengar

2025-04-09T20:44:38+00:00 ― 7 min read

Numerical Analysis Cracking the Code of Bayesian Inverse Problems

Navigating the complexities of estimating unknowns in seismic studies.

Julianne Chung, Scot M. Miller, Malena Sabate Landman

2025-04-07T17:59:30+00:00 ― 7 min read

Numerical Analysis Streamlining Data with Efficient Tensor Techniques

Learn how smarter algorithms make handling large data easier and faster.

Salman Ahmadi-Asl, Naeim Rezaeian, Cesar F. Caiafa

2025-04-07T12:39:50+00:00 ― 6 min read

Numerical Analysis Harnessing Tensors: The Future of Data Processing

Discover how tensor decomposition is transforming data analysis with advanced algorithms.

Salman Ahmadi-Asl, Naeim Rezaeian, Andre L. F. de Almeida

2025-04-07T10:00:00+00:00 ― 7 min read

Numerical Analysis Neural Networks: A New Tool for Solving PDEs

Discover how neural networks are transforming the approach to solving partial differential equations.

Zhongshuo Lin, Yifan Wang, Hehu Xie

2025-04-07T04:40:20+00:00 ― 5 min read

Numerical Analysis Mastering Geometry: The Role of Median-Dual Regions

Explore how median-dual regions simplify complex geometry in fluid dynamics.

David M. Williams, Hiroaki Nishikawa

2025-04-07T02:00:30+00:00 ― 7 min read

Numerical Analysis Advancements in Protected Delaunay Meshes

Discover how protected Delaunay meshes enhance data representation in higher dimensions.

David M. Williams, Mathijs Wintraecken

2025-04-06T23:20:40+00:00 ― 6 min read

Numerical Analysis Speeding Up Solutions with ParaOpt

A new method boosts efficiency in solving optimal control problems using ParaOpt.

Corentin Bonte, Arne Bouillon, Giovanni Samaey

2025-04-06T15:21:10+00:00 ― 5 min read

Numerical Analysis Smooth Surfaces from Scattered Data Points

A new method transforms messy data into smooth approximations.

David Levin, José M. Ramón, Juan Ruiz-Alvarez

2025-04-06T12:41:20+00:00 ― 7 min read

Numerical Analysis Reinventing Interpolation: The Non-Linear Shepard Method

A modern twist on Shepard method improves data estimation accuracy.

David Levin, José M. Ramón, Juan Ruiz-Alvarez

2025-04-06T10:01:30+00:00 ― 6 min read

Numerical Analysis New Modeling Techniques for Optical Waveguides

Researchers improve light pulse modeling in optical waveguides, enhancing telecommunications and medical tools.

Ankit Chakraborty, Judit Munoz-Matute, Leszek Demkowicz

2025-04-03T12:45:50+00:00 ― 9 min read

Numerical Analysis Active Flux Method: A New Approach to Fluid Dynamics

Active Flux method enhances sound wave analysis in fluid dynamics.

Wasilij Barsukow, Janina Kern, Christian Klingenberg

2025-04-03T10:06:00+00:00 ― 7 min read

Numerical Analysis Deep Operator BSDE: A Game Changer in Financial Predictions

A new method combines neural networks with BSDEs for better financial insights.

Giulia Di Nunno, Pere Díaz Lozano

2025-04-03T07:26:10+00:00 ― 6 min read

Machine Learning Risk Assessment in Machine Learning: A Deep Dive

Learn the importance of risk assessment in machine learning algorithms.

Disha Ghandwani, Neeraj Sarna, Yuanyuan Li

2025-03-31T10:10:30+00:00 ― 7 min read

Numerical Analysis The Magic of Quaternions in 3D Space

Discover how quaternions streamline 3D rotations and data analysis.

Julien Flamant, Xavier Luciani, Sebastian Miron

2025-03-29T10:13:30+00:00 ― 4 min read

Numerical Analysis Unraveling Hyperbolic Systems in Physics

Discover the complexities of hyperbolic systems and their impacts on real-world phenomena.

Brittany A. Erickson

2025-03-29T07:33:40+00:00 ― 7 min read

Numerical Analysis Exploring Hilbert Spaces and Gaussian Kernels

Dive into the world of functions in Hilbert spaces and their applications.

Michael Gnewuch, Klaus Ritter, Robin Rüßmann

2025-03-29T04:53:50+00:00 ― 8 min read