Numerical analysis & scientific computing
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- A unified structure-preserving framework for geometric flows with coupled orientation and curvature dependence
- Smoothed Picard Hamiltonian Monte Carlo
- Post-Processing Reduced-Order Models for Transport-Dominated Problems by Gegenbauer Reconstruction
- PowerStep: Memory-Efficient Adaptive Optimization via ℓp-Norm Steepest Descent
- Neural topology optimization of ship structures under propulsion machinery vibrations
- Assessment of subgrid scale mixing models used in LES at high pressures
- Implicit-Explicit time integration scheme with Physics-based preconditioning for two-fluid tokamak boundary simulations
- Numerical homogenization of a linear multiscale conservation law
- Two-term small-time spectral expansions for controllability Gramians
- Consistency and Convergence of the Backward-Euler Scheme for Stochastic Functional Differential Equations Driven by Fractional Brownian Motion
- Beyond the analytic solution manufacturing for anisotropic elliptic equations
- Preconditioned Physics-Informed Neural Operator Training
- Tensor-Train Compressed Separable PINNs: A Curvature-Aware Optimization Framework for Parametric PDEs in High Dimensions
- A Tree-Based Localized Reduced Basis Method for Parametrized Parabolic PDEs
- An Energy-Conserving Unstaggered Electromagnetic-Potential Particle-in-Cell Method, Part II: Fully Relativistic Formulation with an Adapted Higuera--Cary Pusher
- Slip Wall Boundary Conditions in Curved Domains for Finite Element ALE Hydrodynamics
- A Kinetic Energy Preserving and Entropy Conserving Two-Point Flux for Multi-species Compressible Flow
- Neural Harmonic Measure Operator
- When does least-squares residual minimization solve a differential equation?
- Boris-type exponential integrators for charged-particle dynamics in strong magnetic fields
- Symplectic filtering of Hamiltonian dynamics with moving sensors
- Isogeometric multi-patch preconditioner for time-dependent electromagnetic problems
- High-order energy diminishing ALE-SAV finite element methods for two-phase Navier--Stokes flow
- Quantitative Stability, Coercivity and Uniqueness of Optimal Transport Plans
- Finite Element Approximation of a Hemivariational Inequality for Steady-State Heat Conduction: Double-Limit Convergence of Penalization and Discretization