Numerical analysis & scientific computing
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- Conformal Uncertainty Quantification Guarantees for Neural Operators
- Well-posedness and numerical reconstruction of a source term for linear parabolic problems with an integral constraint
- Stochastic trace estimation for positive trace-class operators
- Inverse Source Problem for a Time-Fractional Diffusion-Wave Equation with a Singular Inverse-Square Potential
- Performance Evaluation of Fast Fourier Transforms on Emerging RISC-V Hardware with Vector Extension Support
- Conditioning and interpolation error bounds for second-order Stiefel retractions with closed-form inverses
- Quantile Randomized Kaczmarz for Streaming Linear Systems with Massart Noise
- A Two-Level Preconditioner Based on Dominant Components for Time-Dependent Multiscale High-Contrast Problem
- Optimal error estimates for the half-way bounce-back lattice Boltzmann method for the Stokes equations
- A multi-class kinetic traffic flow model: discrete-velocity formulation and diffusively-corrected macroscopic limits
- The Minimum Number of Measurements for Almost-Everywhere Complex Phase Retrieval
- Adaptive multigrid for high-order discontinuous Galerkin methods based on the full approximation scheme
- Optimal enforcement of natural conditions on smooth boundaries with piecewise polynomials upon fitted straight-edged meshes
- Transport-Matched Penalties for Diffusion Synthetic Acceleration of Polytopic Discontinuous Galerkin Discretisations
- A high-order polynomial-corrected shifted boundary method for simulating fully nonlinear water waves
- A Massively Parallel Hybridizable Discontinuous Galerkin Solver for Direct Numerical Simulation of Compressible Flows on GPUs
- Data driven non-equilibrium moist phase exchanges for atmospheric convection within a discontinuous Galerkin model of the compressible Euler equations
- Optimal control of fractional diffusion with Dirac measures
- High-order robust basis-update & Galerkin integrators for dynamical low-rank approximation
- The singular Zienkiewicz tetrahedron: Definition and Integration
- Numerical analysis of data assimilation for slightly compressible flow
- WINO: A Weak-Form Physics Informed Neural Operator for Hyperelasticity on Variable Domains
- Efficient Quantum Simulation of Variable-Coefficient Transport with Continuous Source Injection
- A quantum-assisted framework for PDE-based Bayesian inverse problems
- A Projected Semiexplicit Integrator for Dissipative Systems with Configuration-Dependent Kinetic Energy: Contact-Herglotz Formulation and Benchmarks