Numerical analysis & scientific computing
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- Functional Tensor Trains for High-Order Greeks and Exposure Tails of Multi-Asset Structured Products
- Numerical evaluation of one-loop integrals using quadrature rules
- High-fidelity simulation and reduced-order modeling of optical pumping in quantum devices
- Extending Sample-based Quantum Diagonalization to Systems of Linear Equations
- Feature-preserving interface reconstruction using piecewise circles and cusps
- The optimal operation decisions of expert service enterprises based on queuing system
- Meshless Latent Dynamics Models for Model Order Reduction of time-dependent Partial Differential Equations
- Kernel-based Interpolatory Methods for Context Compression of Attention Mechanisms
- Immersed Boundary Electrodiffusion in the Wasserstein Gradient Flow Formalism: Global Well-Posedness, Non-Equilibrium Thermodynamics, and Singular Asymptotics
- The nodally bound-preserving finite element method for the transport equation
- No-Harm Physics-Informed Inverse Learning with Residual-Calibrated Uncertainty
- Hamiltonian Interface Dynamics for Reduced-Order Optimization of Incompressible Mixing
- A Parameterized Stochastic Hamiltonian Process on Graphs with Two-Point Boundary Conditions
- Numerical Investigation of Soft-to-Hard Convergence: Discretization, Admissibility, and Spectral Regularity
- Singular value decompositions over ∗-algebras with applications to tensor decompositions
- Neural Network Approximation and Structural Complexity of Semilinear PDEs with Lower Bounds
- Matrix Nearness Problems Revisited
- Characterization of the Tau Spectrum for Eigenvalue Problems
- An Adaptive Transferable Neural Network for Partial Differential Equations with Anisotropic or Sharp Solutions
- New hierarchical matrices for fast kernel matrix-vector products with Applications to Gaussian processes and kernel ridge regression
- Polarimetric Low-Rank Imaging of Anisotropic Maxwell Media
- Multivariate Lebesgue bounds for R-Leja lower grids
- Integer-Quantized Hierarchical Matrices with Adaptive Bit Allocation
- Asymptotically Compatible Variational Energy Dissipation Laws and Structure-Preserving Variable-Step Linear Relaxation Schemes for a Subdiffusive Tumor-Nutrient Model
- An HDG-type discretization of 1D embedded blood flow in complex networks with Riemann-coupled junctions