Researchers leverage deep learning to enhance wave equation solutions with GreenONets.
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Computer Science - Numerical Analysis
RSSNew methods improve understanding of flexural wave behavior in engineering structures.
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New adaptive methods improve accuracy in solving conservation laws.
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A new method improves coordinate calculations for graphics and engineering applications.
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A method to estimate how probability measures relate and adapt using regularization.
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A framework to identify sparse matrix structures using limited data.
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This paper presents a simplified approach to find roots of analytic functions in complex analysis.
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A guide to the basics of fluid motion and numerical methods.
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This article covers adaptive strategies in finite difference methods for improved accuracy.
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A new method for simulating surfactant interactions with dynamic bubbles.
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New methods enhance efficiency in training neural operators using mixed precision.
― 7 min read
This study enhances ensemble Kalman filters through a novel resampling technique.
― 8 min read
A two-phase algorithm enhances modeling of hub nodes in complex datasets.
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Introducing an innovative approach to simplify high-dimensional PDEs.
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New methods aim to improve early breast cancer diagnosis through innovative technology.
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Exploring improvements to speed up power calculations in computing.
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A new approach enhances blob detection accuracy in noisy images.
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This work presents a new method for solving complex PDEs using neural networks.
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A new approach improves efficiency in solving complex linear systems.
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Transport maps improve sampling from complex probability distributions in various fields.
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Exploring new methods for accurate fracture modeling in materials.
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A new method for solving Vlasov equations enhances modeling accuracy and efficiency.
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Learn how new methods enhance the simulation of fluid interactions.
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HODLR3D offers efficient solutions for complex three-dimensional problems involving many bodies.
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A new MCMC algorithm improves sampling efficiency in complex scientific systems.
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This article discusses implicit shock tracking methods for better fluid dynamics simulations.
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A new method enhances training speed for Neural ODEs using Gaussian quadrature.
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FEONet combines deep learning and numerical methods to solve parametric PDEs efficiently.
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New techniques improve predictions for complex fluid behavior in various industries.
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Examining how biological systems transport materials efficiently.
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Study reveals shock wave behavior around circular cylinders at supersonic speeds.
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Exploring a geometric method for eigenvalue approximation in banded Toeplitz matrices.
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A look at non-harmonic Fourier matrices and the significance of their singular values.
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A new method improves efficiency in solving partial differential equations.
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An exploration of how material and shape affect wire behavior under stress.
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Learn techniques to improve data accuracy in noisy environments.
― 4 min read
A look into expanding circle maps and their significance in dynamic systems.
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A look at fluid behavior in environments that evolve over time.
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A numerical tool for solving fluid flow problems with enhanced accuracy.
― 6 min read
Safe design of vessels and platforms in extreme environments using environmental contours.
― 6 min read