SPOD enhances modeling efficiency by accurately capturing system behavior over time and space.
― 5 min read
Computer Science - Numerical Analysis
RSSExamining the p-Laplacian's role in data analysis and complex systems.
― 5 min read
This article presents a method to reduce computational costs in estimating unknown quantities.
― 5 min read
A look into the role of quadratic matrix pencils in analyzing dynamic systems.
― 7 min read
A mathematical model examines interactions between coral reefs and harmful macroalgae.
― 5 min read
Analyzing numerical methods in materials science for phase-field problems.
― 6 min read
A look at how patch dynamics improves multiscale modelling techniques.
― 5 min read
Exploring the role of transformers in predicting sequential data outcomes.
― 7 min read
A new method enhances efficiency in optimal transport problems using flow updates.
― 6 min read
SWIFT improves atmospheric transport methods, ensuring essential properties in simulations.
― 7 min read
This study presents methods for solving complex coefficient inverse problems in games.
― 6 min read
Learn about IPMs and how MLMC enhances their performance across various applications.
― 7 min read
A new method efficiently handles shock formations in Burgers' equation.
― 6 min read
Combining quantum and classical methods to tackle fluid motion equations.
― 4 min read
Innovative sampling technique tackles challenges in complex distributions for machine learning.
― 5 min read
A look into Block Finite Difference methods for solving heat equations.
― 3 min read
A guide on constructing visually pleasing and mathematically precise curves.
― 5 min read
Examining solutions to time-fractional biharmonic problems in engineering and physics.
― 5 min read
A new FFT-based method improves the study of materials with complex microstructures.
― 4 min read
Discover how time-spectral methods improve the solving of differential equations.
― 5 min read
A new method enhances accuracy in simulating water wave behavior for offshore engineering.
― 7 min read
This study introduces tensor-train networks to enhance flow simulation accuracy and efficiency.
― 6 min read
We analyze numerical methods for the Cahn-Hilliard equation on changing surfaces.
― 5 min read
A new method improves accuracy in singularly perturbed reaction-diffusion problems.
― 5 min read
Two innovative calibration methods enhance cardiovascular model accuracy for patient care.
― 5 min read
Learn how paired autoencoders enhance the resolution of complex inverse problems.
― 7 min read
A new method enhances data analysis using chordal distance in nonnegative matrix factorization.
― 5 min read
Deep neural networks enhance modeling of acoustic scattering problems in various fields.
― 6 min read
Tensors offer a new way to analyze complex data across various fields.
― 5 min read
Combining physics and machine learning improves subsurface imaging techniques.
― 7 min read
A new loss function, Astral, boosts the performance of physics-informed neural networks.
― 7 min read
Explore new methods for accurate solutions to elliptic equations in complex domains.
― 8 min read
Explore the significance of stability in Runge-Kutta methods for solving differential equations.
― 5 min read
Examining fluid behavior with a numerical method for enhanced understanding.
― 5 min read
A new method improves the restoration of images with damaged networks.
― 8 min read
A new method improves wave propagation efficiency.
― 5 min read
A new neural network approach improves accuracy in hyperbolic conservation laws.
― 6 min read
A look at modern methods in engineering design for efficiency and performance.
― 7 min read
This article discusses the advantages of the Chebyshev Spectral Neural Network for solving differential equations.
― 4 min read
Discover the role of operator learning in advancing data-driven predictions across various fields.
― 6 min read