Numerical analysis & scientific computing
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- Learning PDE solution operators with variable initial conditions via Latent Dynamics Networks
- A symmetric counterexample to Strang's conjecture for bivariate C1 cubic splines on triangulations
- A SAV Neural Network Method for Allen--Cahn and Cahn--Hilliard Equations
- Implict-Explicit Runge-Kutta schemes for geometric flows
- FOSLS-deRhaNN: native de Rham neural classes for H(div) and H(curl) with applications to first-order system least-squares neural network methods for partial differential equations
- Analysis of split exponential integrators for semilinear problems with noncommuting operators
- Efficient subsampling-rate selection for practical Multilevel Markov chain Monte Carlo
- Learned Adaptive Multiresolution Diffusion Imaging
- Sampling discretization of the uniform norm for hyperbolic-cross trigonometric polynomials
- Low-rank SI-DSA and GMRES-DSA for Radiative Transfer Equation with Adaptive Accuracy Control
- Endpoint-Stable Interval Inverse Inequalities for Multiscale Kernels with Positive Exponential Spectra
- A Neural JKO Scheme for Hellinger-Kantorovich Gradient Flows via Monge-Growth Pairs
- Sharp conditioning and quantitative stability of optimal transport
- A B-Spline Galerkin Method for Option Pricing under the CGMY Tempered Stable Process
- A Relaxed Maximum-Based Normal S-Iteration Method for Generalized Absolute Value Equations
- Convex counterexamples to the Schiffer and Pompeiu conjectures in dimensions two to eighteen
- On the Existence of Pressure-Equilibrium-Preserving Numerical Fluxes for Supercritical Fluids
- A Range-Deflated Stochastic Lanczos Quadrature Method for Large-Scale Log-Determinant Estimation
- GPU Performance of an Entropy-Stable Discontinuous Galerkin Euler Solver with Non-Conservative Terms
- On structure-preserving and pointwise conservative continuous DG schemes for hyperbolic systems
- AdHImEx: Adaptively High-Order Implicit-Explicit Transport for Large Time Steps
- Learning a generalized Navier-Stokes model beyond the continuum regime
- Approximate matrix exponential: a fast and accurate solver for Markov kinetic models of ion channels.
- Optimization-based numerical methods for the two-and three-dimensional time harmonic Maxwell problem with sign-changing coefficients
- Efficient Approximation of Structured Linear Operators using Randomized One-Sided Queries