Computer Science - Numerical Analysis

Numerical AnalysisNavigating 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

ProbabilityThe 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 ControlMastering 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 AnalysisTransforming 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 PhysicsRevolutionizing 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 AnalysisSimplifying 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 AnalysisNavigating 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 AnalysisThe 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 AnalysisHigh-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 LearningPowerMLP: 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 AnalysisMastering 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 AnalysisImproving 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 RecognitionMUSTER: 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 AnalysisUnlocking 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 AnalysisThe 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 SystemsHarnessing 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 AnalysisDecoding 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 AnalysisClustering 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 AnalysisThe 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 AnalysisSpeeding 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 ControlOptimizing 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 AnalysisNew 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 LearningBalancing 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 AnalysisThe 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 AnalysisCracking 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 TheoryThe 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 PDEsEfficient 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 AnalysisOptimizing 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 AnalysisUnderstanding 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 LearningKKANs: 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 AnalysisCrafting 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 SystemsUnraveling 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 AnalysisRevolutionizing 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 AnalysisThermal 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 ScienceUnderstanding 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 AnalysisUnderstanding 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 LearningGenerative 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 LearningERGNN: 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 AnalysisNavigating 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 AnalysisAdvancements 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