Numerical analysis & scientific computing
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- Eigendamage: an Eigendeformation model for the variational approximation of cohesive fracture in antiplane shear deformations
- p and rp-Spectral Element Methods for Two-dimensional Elliptic Boundary Layer Problems
- On degeneration of tetrahedra under longest-edge n-section refinement
- HDG methods in finite element exterior calculus
- A diffusion-free multi-layer neural-network method for multidimensional nonlinear hyperbolic equations
- Tessellated Isotropic Elastic Lattice Spring Model for Quasi-Brittle Fracture
- A new second-order consistent splitting scheme for the Natural Convection equations
- Convergence analysis of a numerical scheme for the Cahn-Hilliard-Navier-Stokes system with dynamical boundary condition and its application to moving contact line problem
- A nonmonotone globalization framework for Anderson acceleration for contractive and nonexpansive fixed point problems
- GradAgent: A Knowledge-Guided Multi-Agent System for Structure-Preserving Gradient-Flow Computation with an Application to Multicomponent Vesicle Dynamics
- Stability Framework for the Singularity of the Euler Equations on ℝ3
- Optimal error estimates of sequential finite element method for nonlinear thermo-poroelasticity problems
- A General Superconvergence Result for Cubature on Tesselated Polytopal Domains in Two and Three Dimensions
- Global Convergence of DGM and PINN Algorithms for Solving Nonlinear PDEs
- Decoupled energy-stable Runge-Kutta schemes of arbitrary order for the anisotropic phase-field dendritic crystal growth model
- A Neural Hierarchical-Matrix Preconditioner for Real-Time GPU Solves
- High-dimensional extreme eigenvalue problems: low-rank tensor parametrization and optimization
- A Regularization Based Computational Method for Quantum Incommensurate Problems
- No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study
- A compact high-order and positivity-preserving active flux method for compressible Navier--Stokes equations on Cartesian meshes
- Domain preserving splitting schemes for a class of SPDEs driven by a standard Brownian motion
- Optimal sampling density design for homotopic off-the-grid deconvolution
- Numerical Ergodicity and Optimal Strong Error Estimates for a Class of Novel Tamed Schemes to Superlinear SPDEs
- Two-Dimensional Shallow Water Linearized Moment Equations: Hyperbolicity and Well-Balanced Schemes
- Error analysis of penalized H(div)-conforming finite element methods for surface Stokes problems