Numerical analysis & scientific computing
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- Constraint Preserving AFD-WENO Schemes for Relativistic Hydrodynamics with General Equations of State
- Tensor Orthogonal Subspace Split: Theory and Applications
- Analysis and Approximation of Stochastic Multiscale Subdiffusion Driven by Fractional Gaussian Noise
- Why the Kellogg Mesh Is Radial: A Mathematical Explanation of a Classical Computational Benchmark
- 3D Uncertainty Quantification for Photoacoustic Tomography
- Wigner-Eckart Factorization of the Polyatomic Boltzmann Collision Operator
- ENPINN: Energy-Norm-Guided Gradient-Enhanced PINNs for Generalized Transport Problems with Sharp Gradients
- Phase-field digital image correlation for integrated displacement and damage measurements
- Dynamic subscales and unconditional semi-discrete stability for non-residual VMS approximations of generalised Newtonian flows
- Nechvile-Transformed Spacecraft Dynamics and Propellant Computation in the 3-Body Problem
- A Tensor Neural Network Method for High-Order Homogenization of Locally Periodic Elliptic Problems
- Random attractors and almost-sure stability under discretization of a stochastic autoparametric system
- D-RADI: A Low-rank ADI Algorithm for Solving Large-scale Discrete-time Algebraic Riccati Equations
- Convergence analysis of Parametric Probabilistic Manifold Decomposition
- A Learnable Multigrid Framework via Graph Convolutions
- Gappy probabilistic manifold decomposition for nonlinear field reconstruction
- Tensor-Based Reduced-Order Modeling for Optimization-Based Inverse Problems
- An improved estimate of the intermediate internal energy in the energy-consistent HLLD scheme
- Entropy-Stable and Physical-Constraint-Preserving DGSEM for Symmetry-Reduced General-Relativistic Hydrodynamics on Stationary Spacetimes
- Minimizing the Arithmetic and Communication Complexity of Jacobi's Method for Eigenvalues and Singular Values: Part Two -- Parallel Algorithms
- Separable Nonnegative Matrix Factorization Using Powered Ratio-of-Norms Regularization
- Energy-Based Physics-Informed Form Finding for Clustered Tensegrity Structures
- High-Order-Accurate Continuity Enforcing Nyström Discretization of 3D Maxwell Combined Field Integral Equations
- QGPINNs: A Physics-Informed Neural Network Framework for Nonlocal Differential Equations on Quantum Graphs
- Closest Normal Matrix Found Again Using Riemannian Optimization