Computer Science - Numerical Analysis

Numerical AnalysisSmooth 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 AnalysisReinventing 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 AnalysisNew 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 AnalysisActive 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 AnalysisDeep 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 LearningRisk 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 AnalysisThe 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 AnalysisUnraveling 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 AnalysisExploring 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

Numerical AnalysisUnderstanding Material Behavior Under Stress

Explore how materials respond to stress in engineering and science.

Salih Tatar, Mohamed BenSalah

2025-03-28T20:54:20+00:00 ― 6 min read

Computational Engineering, Finance, and ScienceQuantum Computing: A Glimpse into the Future

Discover the potential of quantum computing in solving complex problems.

Giorgio Tosti Balducci, Boyang Chen, Matthias Möller

2025-03-28T12:54:50+00:00 ― 6 min read

Plasma PhysicsThe Future of Fusion: Understanding Plasma Dynamics

Unraveling secrets of plasma stability for clean energy.

Rory Conlin, Jonathan Schilling, Daniel W. Dudt

2025-03-28T07:48:50+00:00 ― 8 min read

Numerical AnalysisMastering the Finite Difference Method

Learn how FDM simplifies complex equations through grids and variable meshes.

Mário B. Amaro

2025-03-28T07:01:04+00:00 ― 6 min read

Numerical AnalysisSimplifying Complex Data with Tensors

Discover how tensors and their approximations transform data analysis across various fields.

Alberto Bucci, Gianfranco Verzella

2025-03-25T20:58:50+00:00 ― 6 min read

Numerical AnalysisHarnessing Least Squares for Problem Solving

Discover how least squares methods simplify complex mathematical challenges in various fields.

Harald Monsuur, Robin Smeets, Rob Stevenson

2025-03-25T07:39:40+00:00 ― 6 min read

Computational Engineering, Finance, and ScienceRevolutionizing Multigrid Methods: A New Approach

Flexible cycles in multigrid methods improve speed and accuracy in complex problem-solving.

Dinesh Parthasarathy, Wayne Bradford Mitchell, Harald Köstler

2025-03-25T04:59:50+00:00 ― 7 min read

Numerical AnalysisThe Harmony of Quadrature and Splines in Mathematics

Discover how quadrature rules and splines work together in numerical analysis.

Salah Eddargani, Carla Manni, Hendrik Speleers

2025-03-22T05:04:20+00:00 ― 7 min read

OpticsSpeckle Imaging: A New Lens on Light

Discover how speckle imaging enhances optical clarity in complex materials.

Randy Bartels, Olivier Pinaud, Maxine Varughese

2025-03-21T22:09:52+00:00 ― 5 min read

Optimization and ControlNavigating Uncertainty: Optimal Control Explained

Learn how researchers tackle uncertainty in complex systems using optimal control methods.

Rene Henrion, Georg Stadler, Florian Wechsung

2025-03-20T09:13:32+00:00 ― 6 min read

Computational FinanceIsogeometric Analysis: A New Tool for Finance

Discover how IGA transforms financial derivative pricing methods.

Rakhymzhan Kazbek, Yogi Erlangga, Yerlan Amanbek

2025-03-19T21:07:00+00:00 ― 6 min read

Numerical AnalysisThe Art of Mixed Precision Computations

Balancing speed and accuracy in large systems of equations.

Alexander V. Prolubnikov

2025-03-19T05:08:50+00:00 ― 6 min read

Numerical AnalysisThe Art of Function Approximation with Hermite Functions

Discover how Hermite functions enhance mathematical approximations.

Hao Hu, Haijun Yu

2025-03-19T02:29:00+00:00 ― 7 min read

Numerical AnalysisMastering Nested Integration with a New Approach

A fresh method simplifies complex nested integrals for better efficiency.

Arved Bartuska, André Gustavo Carlon, Luis Espath

2025-03-18T10:30:00+00:00 ― 6 min read

Numerical AnalysisRevolutionizing Fluid Dynamics with Machine Learning

Combining machine learning with fluid dynamics improves accuracy and efficiency in simulations.

Guillaume de Romémont, Florent Renac, Jorge Nunez

2025-03-18T07:50:10+00:00 ― 8 min read

Data Structures and AlgorithmsAccelerating Science: The Future of Sampling

Discover how parallel sampling methods transform data analysis in scientific research.

Huanjian Zhou, Masashi Sugiyama

2025-03-17T21:10:50+00:00 ― 6 min read

Computational Engineering, Finance, and ScienceUltrasonic Imaging: The Future of Material Safety

Learn how advanced ultrasonic techniques improve material safety and defect detection.

Tim Bürchner, Simon Schmid, Lukas Bergbreiter

2025-03-17T18:31:00+00:00 ― 6 min read

Computer Vision and Pattern RecognitionClassifying Pets: Using Math to Identify Breeds

Research uses math to classify cat and dog breeds by fur color.

Isabela M. Yepes, Manasvi Goyal

2025-03-17T15:51:10+00:00 ― 5 min read

Medical PhysicsReimagining Medical Imaging with CBCT Technology

CBCT revolutionizes imaging with faster, clearer results for better patient care.

Alexander Meaney, Mikael A. K. Brix, Miika T. Nieminen

2025-03-17T08:18:04+00:00 ― 7 min read

Image and Video ProcessingThe Magic of PDEs in Image Processing

Discover how PDEs transform images into clearer, sharper visuals.

Alejandro Garnung Menéndez

2025-03-14T10:36:00+00:00 ― 7 min read

Numerical AnalysisSimplifying Complex Systems: Reduced Order Modeling

Explore how reduced order modeling streamlines eigenvalue problem solutions.

Siu Wun Cheung, Youngsoo Choi, Seung Whan Chung

2025-03-14T07:56:10+00:00 ― 7 min read

Numerical AnalysisRevolutionary Insights from HiPPO-LegS ODE

Discover how HiPPO-LegS ODE enhances deep learning for long data sequences.

Jaesung R. Park, Jaewook J. Suh, Ernest K. Ryu

2025-03-14T05:16:20+00:00 ― 5 min read

Computational Engineering, Finance, and ScienceStrengthening Manufacturing with Fiber-Reinforced Polymers

Learn how fiber orientation and uncertainty impacts the strength of materials.

Stjepan Salatovic, Sebastian Krumscheid, Florian Wittemann

2025-03-13T23:56:40+00:00 ― 8 min read

Numerical AnalysisThe Rise of Foiling Yachts in Racing

Discover how foiling yachts are changing the speed game in sailing.

Daniele Peri

2025-03-13T21:16:50+00:00 ― 7 min read

Numerical AnalysisHeat Flow Under Magnetic Fields: Insights Uncovered

Discover how scientists study heat movement in complex materials affected by magnetic fields.

Maria Vasilyeva, Golo A. Wimmer, Ben S. Southworth

2025-03-13T18:37:00+00:00 ― 6 min read

Optimization and ControlBilevel Learning: A New Approach in Optimization

Learn how bilevel learning and recycling strategies improve optimization efficiency.

Matthias J. Ehrhardt, Silvia Gazzola, Sebastian J. Scott

2025-03-13T15:57:10+00:00 ― 6 min read

Analysis of PDEsUnraveling the Mystery of Subdiffusion

Scientists investigate slow-moving particles and point sources to protect our environment.

Kuang Huang, Bangti Jin, Yavar Kian

2025-03-13T10:37:30+00:00 ― 7 min read

Computational Engineering, Finance, and ScienceGenetic 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

Numerical AnalysisDecoding Credit Spreads in Bond Markets

Learn how credit spreads impact bond investing and prediction methods.

Yu Shao, Jiawen Bai, Yingze Hou

2025-03-11T05:20:50+00:00 ― 8 min read

Numerical AnalysisMastering Fluid Dynamics with Interior Penalty Method

Discover effective ways to analyze fluid movement on surfaces using advanced techniques.

Michael Neilan, Hongzhi Wan

2025-03-11T02:41:00+00:00 ― 7 min read

Classical Analysis and ODEsThe Intriguing World of Multiple Orthogonal Polynomials

Discover how multiple orthogonal polynomials shape mathematics and its real-world applications.

Lidia Fernández, Juan Antonio Villegas

2025-03-10T21:21:20+00:00 ― 8 min read