Numerical analysis & scientific computing
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- A Fast and Stable Square-Root-Free Unitary Core-Chasing Algorithm
- Model Order Reduction for Parametric Dissipative Quantum Systems
- Mathematical foundation of symmetric fast Fourier transform
- Data-Driven Free-Energy Learning from Trajectories via Structure-Preserving Exponential Time Differencing
- Boundary integral equation based solvers for elastic transmission problems in complex media
- Gauss--Chebyshev Quadrature, 𝕊1-Designs, and the Planar Minkowski Inverse Problem: A One-Dimensional Model for Design-Induced Convex Geometry
- Two-level hybrid Schwarz preconditioners with preasymptotic piecewise-polynomial coarse spaces for the high-frequency Helmholtz equation
- Robust second-order time integration of tree tensor networks
- Uniform Approximation for Operator Learning on Compact Sets
- A Localized Hybrid Finite Element--Random Feature Method for Elliptic Interface Problems on Unfitted Meshes
- CutIGA with Least Squares Stabilized Nitsche Boundary Conditions: The Biharmonic Problem
- Quantitative finite-time approximation of scattering fields for Alfvén waves in ideal MHD
- A unified framework for original energy dissipation of equilibrium-preserving exponential Runge--Kutta methods for L2 gradient flows
- Numerical Neural Operator: Connection Between Numerical Analysis and the Operator Learning and Building Discretized Neural Operators from Finite Element Methods
- Operator preconditioning of the Costabel FEM-BEM coupling for the time-harmonic Maxwell transmission problem
- A Second-Order Maximum-Bound-Preserving and Energy-Stable Exponential Time-Differencing Method for Allen--Cahn-Type Gradient Flows
- Energy stability and error estimates for a second-order structure-preserving exponential integrator method for smectic-A liquid crystals
- Mean Square Error Analysis of Stochastic Runge-Kutta Integrators
- On Convergence Behavior of Randomized Kaczmarz-type Methods for Solving Doubly Noisy Linear Systems
- Accurately computing quasiperiodic parabolic equations within finite-size domains via modeling quasiperiodic boundary conditions
- From Pólya's Conditions to a Complete Characterization of the L2 Convergence of Hyperinterpolation
- Group Invariant Spectral Embedding
- Incremental Tensor-Train Compression from Streaming TT-Formatted Data with Applications to Reduced-Order Modeling of Linear Kinetic Equations
- A neural characteristic mapping method: Lagrangian PINNs based on flow maps for transport-dominated problems
- Variational Derivation of the Weak Form for Viscous Flows Involving Free Surfaces with Implications for Geodynamic Simulations