Mathematics - Numerical Analysis

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Computational Engineering, Finance, and Science Genetic Programming Transforms Laser Beam Welding Simulations

Innovative genetic programming boosts efficiency in laser beam welding simulations.

Dinesh Parthasarathy, Tommaso Bevilacqua, Martin Lanser

2025-03-13T07:57:40+00:00 ― 6 min read

Latest Articles

Numerical Analysis Aligning Points: The Art of Point Set Registration

Learn how point set registration brings order to scattered data.

Angelo Iollo, Tommaso Taddei

2025-03-10T10:42:00+00:00 ― 6 min read

Numerical Analysis Simplifying Charged Particle Transport for Better Medical Outcomes

New method improves predictions in medical particle transport, speeding up treatments.

Pia Stammer, Tiberiu Burlacu, Niklas Wahl

2025-03-08T10:56:36+00:00 ― 7 min read

Numerical Analysis Revolutionizing Medical Imaging: The Future is Here

Faster and clearer medical imaging techniques are transforming healthcare.

Alessandro Perelli, Carola-Bibiane Schonlieb, Matthias J. Ehrhardt

2025-03-08T10:45:00+00:00 ― 7 min read

Numerical Analysis Radial Basis Functions: A Guide to RBF-FD

Explore the innovative methods of Radial Basis Functions in solving complex problems.

Manoj Kumar Yadav, Chirala Satyanarayana, A. Sreedhar

2025-03-08T08:05:10+00:00 ― 7 min read

Numerical Analysis Revolutionizing CT Imaging: A Smarter Approach

Scientists improve CT scan images with advanced algorithms and efficient techniques.

Patricio Guerrero, Simon Bellens, Wim Dewulf

2025-03-08T05:25:20+00:00 ― 6 min read

Numerical Analysis Innovations in Thin Film Growth and Simulation

Discover the latest advancements in thin film technology and numerical methods.

Jingwei Sun, Haifeng Wang, Hong Zhang

2025-03-08T00:05:40+00:00 ― 6 min read

Numerical Analysis Advancements in Stokes Flow Analysis

New methods improve fluid motion analysis, ensuring reliability and efficiency.

Weizhang Huang, Zhuoran Wang

2025-03-07T21:25:50+00:00 ― 7 min read

Numerical Analysis Advancing Surface Diffusion Simulations

A new method improves accuracy in surface diffusion modeling for material design.

Wei Jiang, Chunmei Su, Ganghui Zhang

2025-03-06T08:08:10+00:00 ― 6 min read

Numerical Analysis The Dance of Droplets: Vlasov-Stokes Explained

Uncover the fascinating world of droplets and fluids through Vlasov-Stokes equations.

Harsha Hutridurga, Krishan Kumar, Amiya K. Pani

2025-03-06T02:48:30+00:00 ― 7 min read

Numerical Analysis New Methods for Stochastic Partial Differential Equations

Innovative techniques improve modeling for random systems across various scientific fields.

Johan Ulander

2025-03-06T00:08:40+00:00 ― 5 min read

Machine Learning Revolutionizing Physics with ANaGRAM

ANaGRAM combines machine learning and physics for better problem-solving.

Nilo Schwencke, Cyril Furtlehner

2025-03-05T21:28:50+00:00 ― 6 min read

Numerical Analysis Mastering Optimal Control Problems for Better Outcomes

Learn how optimal control improves decision-making across engineering and medicine.

Aaron Pim, Tristan Pryer, Alex Trenam

2025-03-05T18:49:00+00:00 ― 7 min read

Statistics Theory Navigating Precision Matrices: Insights and Techniques

Learn how precision matrices and Cholesky factors improve data analysis.

Jiaheng Chen, Daniel Sanz-Alonso

2025-03-05T08:05:31+00:00 ― 8 min read

Optics The Remarkable World of Metamaterials

Discover how metamaterials control waves for improved comfort and performance.

Chaitanya Morey, Sundararajan Natarajan, Chandramouli Padmanabhan

2025-03-05T00:08:52+00:00 ― 5 min read

Numerical Analysis Simplifying Complex Equations with Weak Galerkin Methods

Discover how weak Galerkin methods make solving tricky equations easier.

Chunmei Wang

2025-03-03T16:12:10+00:00 ― 7 min read

Numerical Analysis Understanding the RBLSE Problem

Dive into the world of reduced biquaternions and their applications.

Sk. Safique Ahmad, Neha Bhadala

2025-03-03T08:12:40+00:00 ― 6 min read

Numerical Analysis New Method Revolutionizes Heat Flow in Fusion Reactors

A promising new approach improves heat flow management in fusion energy.

Golo A. Wimmer, Ben S. Southworth, Koki Sagiyama

2025-02-28T02:57:30+00:00 ― 6 min read

Numerical Analysis The Science of Wetting and Dewetting

Discover how liquids interact with surfaces and why it matters.

Jiajia Guo, Selim Esedoglu

2025-02-28T00:17:40+00:00 ― 7 min read

Numerical Analysis The Hidden Strength of Discrete Poincaré Inequalities

Discover how discrete Poincaré inequalities impact mathematics and real-world applications.

Alexandre Ern, Johnny Guzmán, Pratyush Potu

2025-02-27T18:58:00+00:00 ― 6 min read

Fluid Dynamics Advancing Surgical Simulations: The Mesh Revolution

New techniques enhance surgery simulations for complex vascular conditions.

Kevin Garner, Fotis Drakopoulos, Chander Sadasivan

2025-02-25T17:47:58+00:00 ― 7 min read

Numerical Analysis Navigating Complex Equations: Simplified Solutions

Discover clever approaches to tackle challenging mathematical equations and their significance.

Yvonne Alama Bronsard, Xi Chen, Matthieu Dolbeault

2025-02-25T08:21:40+00:00 ― 7 min read

Probability The Dynamics of First-Passage Time: A Deep Dive

Explore how first-passage time impacts finance, health, and neuroscience.

Devika Khurana, Sascha Desmettre, Evelyn Buckwar

2025-02-24T19:02:30+00:00 ― 7 min read

Optimization and Control Mastering Model Predictive Control for Switched Systems

Discover how MPC revolutionizes control in switched systems.

Michael Kartmann, Mattia Manucci, Benjamin Unger

2025-02-24T05:43:20+00:00 ― 6 min read

Numerical Analysis Transforming Blurry Images with Deep Gaussian Processes

Discover how DGPs sharpen images and handle uncertainty.

Jonas Latz, Aretha L. Teckentrup, Simon Urbainczyk

2025-02-23T14:07:05+00:00 ― 8 min read

Computational Physics Revolutionizing Electron Calculations with Hierarchical Splines

A new solver transforms how we calculate electron behaviors in materials.

Tao Wang, Yang Kuang, Ran Zhang

2025-02-21T00:45:06+00:00 ― 7 min read

Numerical Analysis Simplifying Complex Problems with TTRB Method

Discover how the TTRB method transforms problem-solving in mathematics.

Nicholas Mueller, Yiran Zhao, Santiago Badia

2025-02-21T00:28:10+00:00 ― 4 min read

Numerical Analysis Navigating Polar Decomposition and Procrustes Problem

Discover how polar decomposition and the Procrustes problem simplify matrix challenges.

Foivos Alimisis, Bart Vandereycken

2025-02-20T11:09:00+00:00 ― 5 min read

Numerical Analysis The Heart's Electrical Symphony: How Signals Shape Our Beats

Uncover the electrical signals that control the heart's rhythm.

Samuele Brunati, Michele Bucelli, Roberto Piersanti

2025-02-20T03:09:30+00:00 ― 6 min read

Numerical Analysis High-Order Finite Element Method: A Game Changer

Discover how high-order FEM is transforming problem-solving in various fields.

Ioannis P. A. Papadopoulos

2025-02-20T00:29:40+00:00 ― 7 min read

Machine Learning PowerMLP: The Fast Track for Neural Networks

PowerMLP offers a speedy solution for efficient neural network training.

Ruichen Qiu, Yibo Miao, Shiwen Wang

2025-02-19T21:49:50+00:00 ― 7 min read

Numerical Analysis Mastering Stability in Numerical Solutions

Learn how strong stability preserving methods ensure reliable solutions in science and engineering.

Sigal Gottlieb, Zachary J. Grant

2025-02-15T19:16:00+00:00 ― 6 min read

Numerical Analysis Improving EIT for Accurate Medical Insights

New methods enhance Electrical Impedance Tomography for better patient monitoring.

Altti Jääskeläinen, Jussi Toivanen, Asko Hänninen

2025-02-15T16:36:10+00:00 ― 6 min read

Computer Vision and Pattern Recognition MUSTER: A New Approach to Medical Imaging

MUSTER aligns medical images over time for better health insights.

Edvard O. S. Grødem, Donatas Sederevičius, Esten H. Leonardsen

2025-02-15T03:17:00+00:00 ― 5 min read

Numerical Analysis Unlocking the Secrets of Eigenvalue Problems

Discover new methods to solve eigenvalue problems with improved efficiency and flexibility.

Foivos Alimisis, Daniel Kressner, Nian Shao

2025-02-15T00:37:10+00:00 ― 9 min read

Numerical Analysis The Science of Dunking: Heat Transfer Unwrapped

Explore how heat transfer affects cooling, from chocolate bars to engineering.

Kento Kaneko, Claude Le Bris, Anthony T. Patera

2025-02-12T03:21:30+00:00 ― 7 min read

Dynamical Systems Harnessing Ensemble Kalman Filters for Better Predictions

Discover how ensemble Kalman filters improve predictions in chaotic systems.

Daniel Sanz-Alonso, Nathan Waniorek

2025-02-10T15:50:54+00:00 ― 6 min read

Numerical Analysis Decoding the Oseen Eigenvalue Problem

A look at the Oseen eigenvalue problem in fluid dynamics and its significance.

Dibyendu Adak, Felipe Lepe, Gonzalo Rivera

2025-02-10T06:04:20+00:00 ― 5 min read

Numerical Analysis Clustering Algorithms: Organizing Data with Ease

Learn how clustering algorithms simplify data analysis and reveal hidden patterns.

Guy B. Oldaker, Maria Emelianenko

2025-02-10T00:44:40+00:00 ― 7 min read

Numerical Analysis The Rise of Memristive Devices in AI Technology

Memristive devices bridge memory and processing, shaping the future of AI.

Dilara Abdel, Maxime Herda, Martin Ziegler

2025-02-10T00:26:34+00:00 ― 6 min read

Numerical Analysis Speeding Up Mathematics with Mixed Precision

Discover how mixed-precision methods enhance efficiency in solving complex equations.

Ivo Dravins, Marcel Koch, Victoria Griehl

2025-02-09T22:04:50+00:00 ― 5 min read

Optimization and Control Optimizing Algorithms: The Path to Efficiency

Discover the evolution and impact of optimization algorithms in various fields.

Mingwei Fu, Bin Shi

2025-02-09T09:19:48+00:00 ― 7 min read

Numerical Analysis New Insights with the KdVH Equation

Mathematicians develop KdVH for improved wave modeling and numerical solutions.

Abhijit Biswas, David I. Ketcheson, Hendrik Ranocha

2025-02-08T06:07:20+00:00 ― 8 min read

Machine Learning Balancing Energy Supply and Demand with Neural Networks

Learn how neural networks improve energy management and predict future needs.

Van Truong Vo, Samad Noeiaghdam, Denis Sidorov

2025-02-07T08:48:40+00:00 ― 6 min read

Numerical Analysis The Epstein Zeta Function: A Key Tool for Scientists

Discover how the Epstein zeta function aids research in physics and material science.

Andreas A. Buchheit, Jonathan Busse, Ruben Gutendorf

2025-02-05T16:09:08+00:00 ― 7 min read

Numerical Analysis Cracking the CIR Model: A Journey Through Interest Rates

Discover how numerical methods help us understand interest rate dynamics in finance.

Samir Llamazares-Elias, Angel Tocino

2025-02-04T22:12:20+00:00 ― 6 min read

Number Theory The Enigmatic World of Elliptic Curves

Unraveling the mysteries and conjectures surrounding elliptic curves in mathematics.

Juan-Pablo Llerena-Córdova

2025-02-04T08:53:10+00:00 ― 7 min read

Analysis of PDEs Efficient Data Clustering with Volume Constraints

Discover how the volume-constrained MBO scheme improves data organization and analysis.

Fabius Krämer, Tim Laux

2025-02-04T06:13:20+00:00 ― 5 min read

Numerical Analysis Optimizing Sparse Matrix-Vector Multiplication

Explore techniques to enhance calculations in sparse matrices for AI applications.

Tomonori Kouya

2025-02-03T22:13:50+00:00 ― 7 min read

Numerical Analysis Understanding Non-local Conservation Laws in Real Life

Explore how non-local laws affect various real-world systems.

Nikhil Manoj, G. D. Veerappa Gowda, Sudarshan Kumar K

2025-01-31T22:18:20+00:00 ― 5 min read

Machine Learning KKANs: A New Era in Machine Learning

KKANs bring fresh methods to tackle complex scientific challenges effectively.

Juan Diego Toscano, Li-Lian Wang, George Em Karniadakis

2025-01-31T21:52:28+00:00 ― 6 min read

Numerical Analysis Crafting Smooth Curves with Cubic Splines

Learn how cubic splines create smooth data representations using triangulations.

Tom Lyche, Carla Manni, Hendrik Speleers

2025-01-31T16:58:40+00:00 ― 7 min read

Dynamical Systems Unraveling Dynamic Systems with Kernel Methods

Discover how the Koopman operator and kernel methods analyze complex systems.

Jonghyeon Lee, Boumediene Hamzi, Boya Hou

2025-01-31T11:42:06+00:00 ― 7 min read

Numerical Analysis Revolutionizing Surface Flattening Techniques

A new method simplifies surface flattening for various applications.

Zhong-Heng Tan, Tiexiang Li, Wen-Wei Lin

2025-01-30T17:00:10+00:00 ― 7 min read

Numerical Analysis Thermal Radiative Transfer: A Vital Energy Game

Explore how photons interact with materials in high-energy physics.

Dmitriy Y. Anistratov, Terry S. Haut

2025-01-30T11:16:46+00:00 ― 5 min read

Materials Science Understanding Crack Propagation in Materials

Learn how cracks grow in materials and their impact on engineering.

Pedro Aranda, Javier Segurado

2025-01-30T04:06:52+00:00 ― 6 min read

Numerical Analysis Understanding Fluid Flow in Curved Spaces

A look into how fluids behave in complex shapes using mathematics.

Yongli Hou, Yanqiu Wang

2025-01-29T09:02:10+00:00 ― 6 min read

Machine Learning Generative Models: Crafting New Data Realities

Explore the creative power of generative models in AI and their diverse applications.

Jathin Korrapati, Tanish Baranwal, Rahul Shah

2025-01-29T03:42:30+00:00 ― 6 min read

Machine Learning ERGNN: A Fresh Approach to Graph Neural Networks

Introducing ERGNN, a new method improving graph neural networks with rational filters.

Guoming Li, Jian Yang, Shangsong Liang

2025-01-29T01:02:40+00:00 ― 5 min read

Numerical Analysis Navigating Volatility in Financial Markets

Understanding volatility and its impact on trading decisions.

Jorge P. Zubelli, Kuldeep Singh, Vinicius Albani

2025-01-28T12:24:20+00:00 ― 6 min read

Numerical Analysis Advancements in High-Order Numerical Methods

Exploring improved techniques for modeling nonconservative systems in various fields.

Shaoshuai Chu, Alexander Kurganov, Ruixiao Xin

2025-01-26T01:07:10+00:00 ― 5 min read

Numerical Analysis Navigating High-Order Methods in Balance Laws

Discover new ways to tackle complex fluid and wave systems.

Shaoshuai Chu, Alexander Kurganov, Mingye Na

2025-01-25T19:47:30+00:00 ― 6 min read

Numerical Analysis Neural Networks: Physics Problem Solvers

Discover how neural networks tackle complex physics equations.

Vasiliy A. Es'kin, Alexey O. Malkhanov, Mikhail E. Smorkalov

2025-01-24T22:19:44+00:00 ― 7 min read

Numerical Analysis Who Counts Better? A Dive into Number Formats

Comparing Posit, Takum, and traditional formats for counting integers.

Laslo Hunhold

2025-01-23T17:10:40+00:00 ― 7 min read

Numerical Analysis Revolutionizing Sparse Linear Systems with New Number Formats

New arithmetic formats enhance performance in solving sparse linear systems.

Laslo Hunhold, James Quinlan

2025-01-23T14:30:50+00:00 ― 6 min read

Numerical Analysis MscaleFNO: A New Wave in Operator Learning

Introducing MscaleFNO, a multi-scale approach reshaping how we study waves and materials.

Zhilin You, Zhenli Xu, Wei Cai

2025-01-23T09:11:10+00:00 ― 7 min read

Numerical Analysis Engineering Insights: Analyzing Rod Behavior

An overview of how rods are analyzed for engineering applications.

Thi-Hoa Nguyen, Bruno A. Roccia, Dominik Schillinger

2025-01-23T06:31:20+00:00 ― 6 min read

Robotics Smart Robots: Tackling Tough Movements

Discover how robots use new methods to navigate tricky movements.

Andreas Mueller

2025-01-21T09:14:10+00:00 ― 6 min read

Probability Harnessing Reflected McKean-Vlasov SDEs: A Guide

Explore the power of reflected McKean-Vlasov SDEs in complex systems.

P. D. Hinds, A. Sharma, M. V. Tretyakov

2025-01-20T21:22:56+00:00 ― 6 min read

Machine Learning FEX: A New Way to Model Disease Spread

Discover how FEX transforms understanding of infectious diseases.

Jianda Du, Senwei Liang, Chunmei Wang

2025-01-18T06:38:50+00:00 ― 7 min read

Numerical Analysis New Activation Function Boosts Neural Network Performance

A fresh activation function enhances neural networks for solving complex physical problems.

Vasiliy A. Es'kin, Alexey O. Malkhanov, Mikhail E. Smorkalov

2025-01-17T12:47:46+00:00 ― 5 min read