Numerical analysis & scientific computing
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- A Legendre-Based Modified Extreme Learning Machine for Convection-Diffusion Equations: Steady-State, Continuous-Time, and Discrete-Time Formulations
- POD-CNF: reduced order modeling of parametrized stochastic PDEs via normalizing flows and proper orthogonal decomposition
- Comparison Principle and Semi-Lagrangian Methods for a Hamilton--Jacobi--Bellman System with Recursive Utility
- Two-point residual step size gradient methods for linear systems
- High-Order Unconditionally Stable IMEX BDF--FEM Schemes for the Hodgkin--Huxley Model on a Branched Axon
- Alias Geometry and Density Compensation in Perturbed Fourier Sampling
- Embedding a de Rham Complex Structure into Eig-PIELM for Maxwell Eigenvalue Problems
- Structured Neural Network Models for Anisotropic Magnetic Constitutive Laws
- Computational performance versus numerical accuracy in the acoustic terms of weakly-compressible SPH
- Machine learning-based thermoelectric materials screening with physical consistency and uncertainty propagation
- POLLUTANT CONCENTRATION RECONSTRUCTION IN POROUS MEDIA FROM LOCALIZED MEASUREMENTS
- Support in the domain of numerical algorithms in the education of future secondary school mathematics teachers
- Unconditionally L2-stable explicit--implicit--null filtered Runge--Kutta methods for general nonlinear degenerate parabolic equations
- The Ehrlich--Aberth root finder is not generally convergent
- A Unified Space-Time Variational Framework for Wave Equations on Differential Forms
- Parameter-robust preconditioners for a stabilized control-volume discretization of Biot's equations
- Optimal asymptotic bounds for design curves on manifolds
- Energy-Dissipative, High-Order BDF Schemes for Simulating Geometric Flows via Energy Increments
- Rank-Optimal Sample Complexity of Riemannian Gauss-Newton for Low-Rank Matrix Recovery
- Robust preconditioners for finite element approximations of control-state constrained optimal control problems governed by elliptic equations
- Fully Discrete Error Analysis of the CSLDG Scheme with Numerical Characteristic Tracing and Spline Reconstruction
- Accelerating posterior sampling in Bayesian inverse problems with diffusion models: an online-offline perspective
- Online Autotuning of Algebraic Multigrid via Contextual Bandits and Reinforcement Learning
- An Incidence-Based Edge-Averaged Method for Convection-Diffusion Problems on Polytopal Meshes
- Minimum-Norm Interpolation in Weighted Variation Spaces: Direct and Inverse Problems