A new Cartesian grid-based approach for solving Hele-Shaw flow and Stefan problem.
― 5 min read
Mathematics - Numerical Analysis
RSSNew methods improve heat equation solutions for irregular boundaries and interfaces.
― 3 min read
Introducing a new method for accurate simulations of nematic liquid crystals.
― 7 min read
A novel method improving magnetic field calculations in electromagnetics.
― 6 min read
Research reveals benefits of non-planar blocks in enhancing stability and energy absorption.
― 4 min read
Learn about methods to efficiently handle multi-dimensional data using tensor recovery.
― 8 min read
New techniques improve solving Helmholtz equations in various fields.
― 5 min read
A novel approach combines coarse and fine-scale solutions for accurate predictions.
― 6 min read
A new method improves the estimation of magnetic properties in engineering applications.
― 5 min read
Study reveals how randomness affects substance spread in fluid dynamics.
― 4 min read
Learn how to handle uncertainty in stochastic parabolic equations.
― 5 min read
A novel approach reduces memory and computation needs in studying complex fluid flows.
― 5 min read
Registration helps align models with real data, crucial for scientific and engineering systems.
― 6 min read
Improving optimization through limited memory gradient techniques for better performance.
― 5 min read
Exploring the impact of Wasserstein distance on Gaussian mixture model analysis.
― 7 min read
A simplified model for accurate energy transfer simulations in high-temperature materials.
― 6 min read
Research on local kernel methods enhances problem-solving in mathematics and related fields.
― 6 min read
New techniques improve domain decomposition for complex parabolic equations.
― 6 min read
New cryoablation methods enhance liver cancer treatment effectiveness and reduce damage to healthy tissue.
― 5 min read
A fresh approach for efficient optimization tasks on complex shapes.
― 6 min read
Learn how state redistribution improves numerical stability in complex simulations.
― 6 min read
Learn about modern techniques for accurately pricing American options with multiple assets.
― 6 min read
A look into solving differential equations using symmetric spaces.
― 6 min read
New methods simplify complex polynomial optimization challenges for better solutions.
― 5 min read
A study on particle movement and energy conservation in fluids.
― 5 min read
A study of two elastic rods and a spring's behavior under various forces.
― 4 min read
Combining JAX and Firedrake enhances numerical methods for solving partial differential equations.
― 5 min read
A novel method for analyzing truss structures enhances efficiency and reduces computational costs.
― 7 min read
A look into quantum thermal averages and their significance in quantum physics.
― 5 min read
Introducing Dropout Ensemble Kalman Inversion for effective high-dimensional parameter estimation.
― 5 min read
A new method to manage complex time-dependent data efficiently.
― 5 min read
A new method merges atomistic and continuum modeling for better material insights.
― 5 min read
This article examines cubic Hamiltonian systems and their discrete representations.
― 6 min read
Innovative techniques enhance analysis of stochastic differential equations and their uncertainty.
― 5 min read
Exploring mathematical modeling for understanding systems across different scales.
― 6 min read
New methods enhance simulations of multiscale systems with improved accuracy and stability.
― 6 min read
A novel approach for addressing elliptic PDEs with irregular boundaries.
― 7 min read
A new method transforms how we study evolving surfaces.
― 7 min read
A new approach to stability analysis using reproducing kernel spaces.
― 5 min read
This study examines how sound waves scatter off complex fractal shapes.
― 4 min read