Learn how to estimate errors in PINNs for better solutions to PDEs.
― 5 min read
Mathematics - Numerical Analysis
RSSNew method offers flexibility for calculating convolutions effectively.
― 6 min read
Blendstrings provide smooth, accurate function representations in various fields.
― 5 min read
Using reinforcement learning to enhance understanding of rare chemical reactions.
― 6 min read
A look at how magnetorelaxometry imaging improves medical applications of nanoparticles.
― 5 min read
Research enhances LDG method for better accuracy in fluid flow problems.
― 5 min read
Reduce complexity in systems to gain insights and improve predictions.
― 6 min read
New integrators offer efficient energy preservation for complex mathematical models.
― 5 min read
Exploring accelerated algorithms for the Asymmetric Eigenvalue Complementarity Problem.
― 5 min read
Hypermatrices expand beyond traditional matrices, enabling complex multi-dimensional data handling.
― 5 min read
New method accelerates integral calculations in high dimensions using QMC techniques.
― 5 min read
New techniques improve the solution of complex nonlinear equations.
― 7 min read
Innovative approach enhances understanding of line wave behavior in advanced materials.
― 5 min read
A look at DRBEM and its applications in solving complex scientific equations.
― 5 min read
Exploring numerical approaches to complex fractional differential equations in various applications.
― 5 min read
ParticleWNN offers a new approach to enhance solutions for complex PDEs using deep learning.
― 5 min read
Exploring how energy and entropy shape atmospheric modeling and forecasts.
― 6 min read
Oxygen influences cancer cell behavior and growth within tumors.
― 5 min read
New methods improve the accuracy of two-phase flow simulations.
― 5 min read
A look at using reduced-order modeling in fluid-structure interactions.
― 6 min read
New methods for solving complex stochastic processes enhance computational efficiency.
― 5 min read
A deep dive into reaction-diffusion problems and their significance in various fields.
― 5 min read
Techniques for solving complex differential equations in engineering and mathematics.
― 5 min read
Innovative approaches using DMD and GAN enhance modeling of shock-induced pore collapse.
― 6 min read
Learn how GO-LDA improves data classification accuracy over traditional methods.
― 6 min read
A new method improves image creation speed while maintaining quality.
― 4 min read
Exploring eigenvalues in specific Toeplitz matrices with two non-zero off-diagonals.
― 4 min read
New model PDNO improves efficiency in solving complex PDEs.
― 5 min read
Utilizing the weak Galerkin method to achieve lower bounds for eigenvalues.
― 5 min read
A study on the Meshless Lattice Boltzmann Method in fluid simulations.
― 6 min read
A new method enhances error estimation in IFE techniques for complex interface problems.
― 5 min read
A new method improves preconditioners using machine learning for solving complex equations.
― 5 min read
A new method improves understanding of fluid flow over surfaces.
― 7 min read
A new method enhances modeling of conservation laws in network systems.
― 5 min read
A new method streamlines computer modeling using Generative Adversarial Networks.
― 6 min read
A new approach to stable long-term forecasting using implicit neural networks.
― 4 min read
Exploring numerical methods for solving complex stochastic integral equations.
― 4 min read
A new method for measuring discretization errors using Wishart distribution.
― 5 min read
This article presents a method to ensure accurate solutions for shallow water equations.
― 6 min read
A study on fractional-order operators and their significance in various fields.
― 5 min read