Numerical analysis & scientific computing
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- Reduced order model for parametric Boltzmann equation and its application to inverse problems
- Numerical Analysis of the Virtual Element Approximation for the Smagorinsky Turbulence Model
- Geometry-dependent rank defect in C1 cubic spline space
- A Stream-Function Formulation for the Surface Stokes-Helfrich Model - Surface Finite Element Discretization and Validation
- Scattered data interpolation on the torus by compactly supported multinode Shepard operators
- Error estimate of the nonuniform BDF3-L2 method for subdiffusion equations via multiscale solution decomposition
- Exact Limits of Random Projections for Preserving Geometry: Distance Recovery, Nearest-Neighbor Rankings, and Covariance Shape in Gaussian Models
- Two Adjoint Perspectives on Fokker-Planck Optimization: A Microscopic-Macroscopic Correspondence
- A class of low-rank short recurrences for nonsymmetric linear matrix equations
- A meshfree solver for coupled bulk-surface problems with self-organizing surface geometry
- Uniform discrete Poincaré inequalities for Hybrid High-Order differential forms on polyhedral meshes
- A Multiscale Finite Element Method for reaction-diffusion eigenproblems arising from neutronics
- CABLE: Convex Affine Blends of Latent Experts for parametric reduced-order modeling
- RAPTOR: RAndom-projection Physics-informed Transient sOlveR
- Mathematical modelling of a multicluster open system: transfer-operator recovery from aggregate data under a least-action prior
- Closure complexity of Bänsch-type algorithms for tetrahedral mesh refinement
- A Mathematical Study of an SIS Epidemic Model: Global Asymptotic Stability Analysis and Construction of Nonstandard Numerical Schemes
- Accelerating Multiple-Precision LU Decomposition with Ozaki Scheme II
- Structure-Preserving Numerical Schemes for Two-Stage Local and Nonlocal Dispersal Systems
- Semidiscrete Modeling of Dislocation-Disclination Systems: Finite Element Formulation
- Uniform Stability of Scott-Vogelius Elements on Three-Dimensional Freudenthal Meshes in Degrees Four and Five: Resolving the Farrell-Mitchell-Scott Conjecture
- Extending a new two-grid waveform relaxation on a spatial finite element discretization
- Semi-Algebraic Mode Analysis For Finite Element Discretisations Of The Heat Equation
- Verifier-guided discovery of exact high-order mimetic operators with large language models
- Ozaki Scheme II Is Fast on CPUs Too: Multiple-Precision Matrix Multiplication on Intel AMX-INT8 and Arm SVE2-i8mm