Numerical analysis & scientific computing
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- A discontinuous Petrov-Galerkin finite-element framework for the simulation of microwave-heated flows
- A Nuclear-Norm Lower Bound for Dithered Scalar Quantization of Matrix Products
- Direct Numerical Simulation of Thermoacoustically Unstable Flames Via Non-Drifting Acoustic Delay Characteristic Boundary Conditions
- A Generalized Scalar Auxiliary Variable Method for Structure-Preserving and Efficient Integration of Nonlinear port-Hamiltonian DAEs
- PRICE: A Systematic Study of LLM Adaptation Choices for Bitcoin Price Forecasting
- A simple shallow neural network for emulating the solution to singularly perturbed problems
- Construction of trace-preserving Fortin operators
- Fast Gauss Sums via Flash Attention
- Energy-Consistent Splitting and Decomposition Approaches for Coupled port-Hamiltonian ODEs
- Numerical experiments on the Hardy conjecture for the Gauss circle problem
- Closure complexity of longest-edge bisection for triangular meshes
- A Neural-network-based multiscale Hybridizable Discontinuous Galerkin method for solving PDEs in porous media
- An Interface Green's Function Framework for Complete Discrete W1,∞ Analysis of Discontinuous Galerkin Methods
- NGMRES convergence analysis and proof of acceleration for contractive and noncontractive iterations
- Golden Ruler: A Numeric Format Catalog with Bit-Exact Conformance Vectors for FP8, BF16, MXFP4, and Microscaling Formats
- Second-order consistency for learning chaotic dynamics via randomized Jacobian matching
- On a blended Anderson / NGMRES acceleration for the Navier-Stokes Picard iteration: convergence analysis and adaptive depth selection
- Revisiting kinetic electrostatic electron non-linear (KEEN) waves in the presence of dynamical ions
- A class of high-order discontinuous-Galerkin methods satisfying infinitely many entropy conditions with provable error estimates and strong convergence for general nonlinear conservation laws
- Frequency-explicit convergence analysis of a multiscale finite element method for highly heterogeneous scattering problems
- Adaptive Multilevel Discontinuous Galerkin Methods on GPUs
- Improving the efficiency of a Hyperpower method for approximating inverse matrices
- Bernstein--von Mises theorems for Bayesian probabilistic numerics
- Transversality Conditions for Boundary Constraints Defined by Differential Equations
- A Multigrid Method for CutFEM and its Convergence