Mathematics - Numerical Analysis

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Numerical Analysis The Fading Challenge of Cadmium Yellow

Cadmium yellow paint faces fading due to light and environmental factors.

Maurizio Ceseri, Roberto Natalini, Mario Pezzella

2025-05-23T12:31:12+00:00 ― 5 min read

Latest Articles

Numerical Analysis Advancements in Photoacoustic Tomography

Exploring the innovative blend of light and sound in medical imaging.

Phuoc-Truong Huynh, Barbara Kaltenbacher

2025-05-22T05:50:26+00:00 ― 6 min read

Numerical Analysis Understanding Lymphangiogenesis: A Key Biological Process

A look at how lymphatic vessels form and their importance in healing.

Boyi Wang

2025-05-22T02:14:01+00:00 ― 5 min read

Machine Learning Balancing Data Privacy with Efficiency

A new method enhances data analysis while preserving privacy.

Julien Nicolas, César Sabater, Mohamed Maouche

2025-05-21T21:03:12+00:00 ― 7 min read

Quantum Physics Quantum Finite Element Method Explained

Learn about the blend of quantum computing and finite element methods.

Abhishek Arora, Benjamin M. Ward, Caglar Oskay

2025-05-21T11:44:30+00:00 ― 6 min read

Numerical Analysis Harnessing Neural Networks to Solve the Allen-Cahn Equation

Scientists use physics-informed neural networks to improve solutions for phase change equations.

Mustafa Kütük, Hamdullah Yücel

2025-05-21T10:26:48+00:00 ― 6 min read

Optimization and Control New Method Streamlines Data Problem Solving

FADMM offers a fresh approach to tackle complex data challenges efficiently.

Ganzhao Yuan

2025-05-21T06:02:05+00:00 ― 6 min read

Numerical Analysis Microwave Imaging: A Peek Inside Without Cutting

Discover how microwave imaging and the MUSIC algorithm reveal hidden objects non-invasively.

Won-Kwang Park

2025-05-21T04:35:31+00:00 ― 6 min read

Analysis of PDEs Counting Solutions to Nonlinear PDEs

A deep dive into finding multiple solutions of nonlinear equations.

Martin Kolodziejczyk, Michela Ottobre, Gideon Simpson

2025-05-21T03:08:57+00:00 ― 7 min read

Numerical Analysis Simplifying Partial Differential Equations with Symmetry

Learn how symmetry helps in simplifying complex PDEs effectively.

Sheehan Olver

2025-05-21T02:25:40+00:00 ― 8 min read

Dynamical Systems Understanding Chaos in Stochastic Flows

Examining how randomness affects complex systems and chaos theory.

Maxime Breden, Hugo Chu, Jeroen S. W. Lamb

2025-05-21T00:15:49+00:00 ― 7 min read

Neural and Evolutionary Computing Revolutionizing Training for Spiking Neural Networks

A new method simplifies training for energy-efficient spiking neural networks.

Ruyin Wan, Qian Zhang, George Em Karniadakis

2025-05-20T23:32:32+00:00 ― 6 min read

Numerical Analysis Understanding Phase-Field Modeling and Numerical Stability

A look at phase-field modeling and the importance of numerical stability in simulations.

Pansheng Li, Dongling Wang

2025-05-20T22:49:15+00:00 ― 6 min read

Numerical Analysis Understanding Finite Element Method and Nonlinearities

Learn how FEM tackles complex nonlinear equations in practical scenarios.

Boris Vexler

2025-05-20T22:05:58+00:00 ― 5 min read

Machine Learning Neural Conjugate Flows: A New Way to Model Complex Systems

Learn how Neural Conjugate Flows are changing scientific modeling.

Arthur Bizzi, Lucas Nissenbaum, João M. Pereira

2025-05-20T05:23:40+00:00 ― 4 min read

Information Theory DTAM: A New Approach to Linear Inverse Problems

DTAM offers a powerful solution for reconstructing data from incomplete information.

Zhong-Feng Sun, Yun-Bin Zhao, Jin-Chuan Zhou

2025-05-20T03:59:36+00:00 ― 7 min read

Spectral Theory The Role of Eigenvalues in Matrices

Exploring the significance of eigenvalues and eigenvectors in engineering and physics.

Quanling Deng

2025-05-20T01:11:28+00:00 ― 5 min read

Numerical Analysis New Method Advances Simulation of Gas Flow in Pipes

Researchers develop a method to simulate gas flow under varying conditions effectively.

Michael Redle, Michael Herty

2025-05-18T16:57:56+00:00 ― 4 min read

Numerical Analysis Navigating Nonlinear Boundary Value Problems with Newton's Method

A look at how Newton's method helps tackle nonlinear boundary value problems.

Rusdrael Antony de Araújo Freire, Francisco Márcio Barboza, Márcio Matheus de Lima Barboza

2025-05-18T09:57:36+00:00 ― 6 min read

Numerical Analysis Using Neural Networks to Tackle Tough Math Problems

Discover how neural networks help solve complex partial differential equations.

Charalambos G. Makridakis, Aaron Pim, Tristan Pryer

2025-05-18T07:09:28+00:00 ― 7 min read

Numerical Analysis Understanding Dual-Valued Functions: A Fun Exploration

Discover the world of dual-valued functions and their fascinating applications.

Tong Wei, Weiyang Ding, Yimin Wei

2025-05-18T02:57:16+00:00 ― 6 min read

Machine Learning A Simple Guide to Optimization Algorithms

Learn about popular optimization algorithms in machine learning and their unique features.

Carlos Heredia

2025-05-16T11:43:24+00:00 ― 7 min read

Numerical Analysis Designing the Future of Cruise Ships

Discover the innovative process behind creating modern cruise ships.

Lorenzo Fabris, Marco Tezzele, Ciro Busiello

2025-05-16T03:19:00+00:00 ― 5 min read

Numerical Analysis Using IMEX-RK Methods to Solve Gas Dynamics Problems

This article explores the application of IMEX-RK methods in gas dynamics.

Sebastiano Boscarino, Seung Yeon Cho

2025-05-16T01:54:56+00:00 ― 6 min read

Numerical Analysis Integrating Machine Learning and Mathematics for Better Solutions

A new approach combines machine learning with traditional methods for solving complex math problems.

L. M. Kreusser, H. E. Lockyer, E. H. Müller

2025-05-15T23:06:48+00:00 ― 6 min read

Numerical Analysis Advancements in Convection-Dominated Problem Solving

Innovative approaches enhance solutions for convection-dominated challenges.

Thivin Anandh, Divij Ghose, Himanshu Jain

2025-05-15T21:42:44+00:00 ― 7 min read

Computation A New Method for Solving Complex Equations

RandNet-Parareal speeds up solving time-dependent equations efficiently.

Guglielmo Gattiglio, Lyudmila Grigoryeva, Massimiliano Tamborrino

2025-05-15T10:33:53+00:00 ― 6 min read

Numerical Analysis Navigating Mathematical Models with Cut Cells

An exploration of using cut cells in solving complex mathematical equations.

Gunnar Birke, Christian Engwer, Jan Giesselmann

2025-05-14T19:05:28+00:00 ― 8 min read

Statistics Theory Understanding Different Types of Distance in Math

A look into how various distance measurements impact shapes and data.

Carlos Pinzón

2025-05-14T02:27:41+00:00 ― 7 min read

Numerical Analysis The Dance of Ocean Currents

Learn how ocean currents influence climate, weather, and marine life.

Dohyun Kim, Amiya K. Pani, Eun-Jae Park

2025-05-14T00:52:36+00:00 ― 4 min read

Machine Learning Simplifying Big Data with Samplets

Learn how samplets help compress large datasets effectively.

Marcel Neugebauer

2025-05-13T13:05:06+00:00 ― 6 min read

Numerical Analysis Sampling Techniques in Data Analysis

A look into sampling methods and their applications in data science.

Lorenz Fruehwirth, Andreas Habring

2025-05-12T02:38:24+00:00 ― 6 min read

Numerical Analysis GO Competition Challenge 3: Power System Innovations

Innovative solutions for managing renewable energy in electricity grids.

Jesse T. Holzer, Stephen Elbert, Hans Mittelmann

2025-05-12T01:14:20+00:00 ― 7 min read

Numerical Analysis The Movement of Ions in Small Spaces

A look at how ions behave under electric forces in confined environments.

Clément Cancès, Maxime Herda, Annamaria Massimini

2025-05-11T21:02:08+00:00 ― 6 min read

Numerical Analysis Sampling with Sparse Priors: A Practical Approach

A look into how sparse priors enhance predictions from limited data.

Ivan Cheltsov, Federico Cornalba, Clarice Poon

2025-05-11T18:14:00+00:00 ― 7 min read

Numerical Analysis Understanding Crowd Behavior in Stressful Situations

Learn how stress impacts crowd dynamics for better safety management.

Daewa Kim, Demetrio Labate, Kamrun Mily

2025-05-10T15:36:44+00:00 ― 6 min read

Numerical Analysis Magnetohydrodynamics: The Flow of Science

Explore how magnetic fields interact with fluids in MHD.

Xi-Yuan Yin, Philipp Krah, Jean-Christophe Nave

2025-05-10T13:34:32+00:00 ― 5 min read

Numerical Analysis Simplifying Nonlinear Systems with Space-Time Model Reduction

Learn about space-time model reduction to analyze complex systems efficiently.

Peter Frame, Aaron Towne

2025-05-10T12:44:16+00:00 ― 7 min read

Numerical Analysis An Introduction to Quantum Chemistry

Learn the basics of quantum chemistry and its importance in science.

James Barker, Michael Griebel, Jan Hamaekers

2025-05-10T07:12:20+00:00 ― 5 min read

Numerical Analysis Cleaning Up Noise in Images: The Denoising Journey

Learn how denoising models tackle Poisson noise for clear images.

Abdul Halim, Abdur Rohim

2025-05-10T05:48:16+00:00 ― 7 min read

Numerical Analysis Simulating Acoustic Waves: Techniques and Applications

Exploring methods to simulate acoustic waves and their real-world uses.

Tao Yu, Tailong Jin, Yanfeng Shen

2025-05-10T04:24:12+00:00 ― 8 min read