Numerical analysis & scientific computing
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- Conditioning of solutions to the Sylvester equation
- A stabilized scheme satisfying the discrete maximum principle for a time fractional convection-diffusion-reaction equation
- Mini mixed finite element method for nearly incompressible linear elasticity problems
- An existence result of a functional integral equation via Darbo type theorem and an iterative algorithm to solve it
- A fully globalized solver for discretized inverse elliptic coefficient problems with exact data
- Residual neural networks overcome the curse of dimensionality for semilinear heat equations
- Adaptively-refinable polar-spline discrete differential forms: hierarchical construction, exactness, and applications
- Semi-discrete quadratic Wasserstein energy and state-dependent Langevin exploration
- Spectral Convergence of Random Feature Method in Multiple Dimensions
- Combined High-Dimensional and Reduced-Order Modeling Based on an Iterative Domain Decomposition Method
- Dynamical Low-Rank Smoothing
- Analysis of Moment Closures Using φ-Divergences for Rarefied Dynamics with Binary Collisions and Their Galerkin Discretizations
- Convergence analysis of moment-based approximations in kinetic theory
- A novel parallel approach for solving some free boundary value problems
- Coupled Tensor-Tensor Completion Method with Applications in Drug Repurposing
- Dimensional hyperreduction of nonlinear finite element models via empirical cubature with manifold-adaptive weights
- Regularity-informed data assimilation: A hierarchical Bayesian approach to ensemble Kalman filtering for hyperbolic conservation laws
- Efficient and Fast Tensor-Product Multinode Shepard Collocation for Elliptic PDEs on Cartesian Grids
- Buckling Prediction for Nonlinear Elastic Beams with Soft Inclusions
- GRADSOLVE: fast exact gradients for ODE ensembles on GPUs
- Continuous data assimilation in steady Navier-Stokes equations with unknown viscosity: robust and efficient solvers and fast parameter recovery
- Neural operators approximate strongly continuous convex monotone semigroups
- A stable rank-adaptive step-and-truncate finite volume method for Vlasov transport on domains with piecewise linear boundaries
- Positivity loss in bandlimited spectral reproduction on spheres
- Computational study of Proper Orthogonal Decomposition methods for parametric approximations