Numerical analysis & scientific computing
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- Spectral Deflation for Factorization-Free Matrix Filtering in Muon and Semidefinite Programming
- Structure-Driven Inversion: A New Paradigm for Solving Inverse Problems
- Convergence of a fully discrete finite element method for the Beris-Edwards system of liquid crystal dynamics
- A second-order structure- and positivity-preserving convex limiting method for the Vlasov equations
- High order biorthogonal functions for the discrete de Rham complex on simplices*
- phi-FD, a second order finite difference scheme for geometries defined by a level-set function: the Neumann case
- Bayesian statistical inverse problems for a coupled Fokker-Planck-Darcy system
- Discrete Sobolev and Trudinger inequalities on polyhedral meshes
- An efficient 0D-space conservative and positivity preserving battery model
- Tensor Decomposition of Transformer Key-Value Caches: Spectral Structure and Format Comparison
- Riemannian Structure and Optimization for a Class of Low-Parametric Orthogonal Matrices
- Conservative Three-Layer Schemes for Kirchhoff-Type Equations
- The Influence of the Cluster Point on Rounding Errors and Sensitivity in the Spectral Limited-Memory Preconditioner
- Stable time-stepping via residual minimization: finite-element and neural-network approximations for transient parabolic problems
- Component-wise accurate fixed point iterations for computing the square root of a singular M-matrix
- A Deformation Approach to Axially Symmetric Kernels on the Sphere: Harmonic Coupling and Regularity
- Relative Primal--Dual Gap Certificates for Operator-Composite Trust-Region Methods
- A Hybrid Iterative Deep Ritz Method for Elliptic Interface Problems
- Sparse-Observation Atmospheric Thermal Forecasting with Physics-Informed Neural Networks for Climate-Aware Digital Twins
- Layer-wise discrete certificates in multicomponent reacting-flow discretizations
- From Variational Optimization to Flow-Based Transport: Posterior-Geometry Regularization for Ill-Conditioned Data Assimilation
- KATOsuper: Surrogate-accelerated neural topology optimization with sensitivity-consistent Fourier neural operators
- Fast Karhunen-Loève Expansions via FFT-Accelerated Toeplitz Operators
- Edge-based Katz centralities for spatio-temporal multiplex networks
- Update to: Spectral sets: Numerical range and beyond