Numerical analysis & scientific computing
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- ADAPTIVE MULTIRESOLUTION DIFFUSION OPERATORS: A VARIATIONAL THEORY ON EVOLVING MULTIRESOLUTION SPACES
- Convergence of a multi-fluid scheme for the Vlasov--Poisson system
- HIGH-ORDER DISCRETE DIFFERENTIAL AND INTEGRAL CALCULUS AND GALERKIN VARIATIONAL INTEGRATORS
- Stability-Constrained Approximation in Spline KANs: Exact Layer Balancing and Budget-Compatible Saturation
- Physics Informed Random Feature Neural Networks for Solving PDEs
- Characteristic Mapping Method for Vlasov-Poisson with BGK-collisions
- Micro-to-macro derivation and stability analysis of an Aw-Rascle-Zhang-type model with driver-dependent acceleration
- Temporal Error Growth of Strang Splitting Method for the Periodic Cubic NLS
- Superconvergence of Centered Finite Difference Approximations
- Regularization and compression of integral operator kernels with tensor paraproducts
- Nested QMC designs on spheres
- A ϕ-FEM approach for time-dependent domains with unfitted meshes
- Asynchronous Jacobi and randomized Gauss--Seidel methods in shared and distributed memory: A unified convergence-rate analysis
- How well do fast discrete trigonometric transforms work for parametric numerical integration?
- A sharp bound for sampling widths in the uniform norm: kernel D-optimal designs and oversampling
- Physics-Guided Conditional Flow Matching with Energy Regularization for Robust PDE Inverse Problems
- Strongly enstrophy-stable integrators for the incompressible Navier-Stokes equations
- Structure-Preserving Augmented Lagrangian Finite Element Methods for Cavitation in Reynolds and Stokes Flows
- efficient matrix-free gauss-newton traveltime tomography on full-metric deformed grids
- Learning to Solve Stochastic Controls with Unknown Drifts and Running Rewards: Theory, Algorithms and Convergence
- A time explicit multiscale framework for heterogeneous elastic wave propagation based on multipoint stress discretization
- Solving Large-Scale Sparse Linear Complementarity Problems Using a Relaxed Shifted Matrix-Splitting Modulus-Based Iteration Method
- Weighted Laplacian Flow: A Deterministic Particle Flow with Exponential Convergence
- A Thresholding Based Operator-Splitting Method for Curvature-Regularized Surface Reconstruction
- A Superfast Direct Solver for 2D Type-II Inverse Nonuniform Discrete Fourier Transform Based on Hierarchically Semiseparable Matrices