Numerical analysis & scientific computing
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- In-Context Learning for Multi-Fidelity Multiscale Model Closure and Cross-Operator Out-Of-Distribution Generalization
- Randomized algorithms in numerical linear algebra for scientific computing
- TensorSpectra: Bridging the Spectral and Tensor Worlds for High-Dimensional PDEs
- Monte Carlo Power Iteration Algorithms: Convergence, Analysis and Application to Reactor Criticality Calculations
- Hybridizable Discontinuous Galerkin methods for the Keller-Segel model
- A family of mixed-mixed strongly conservative finite element methods for Biot's model of consolidation
- Dual Gauss--Legendre polynomials
- A novel class of high-order uniformly accurate exponential integrators with local linear extension for the charged-particle dynamics under strong magnetic field
- Dual Area-Volume-of-Fluid (DAVOF): co-advecting volume and face-area fractions for a closed-form, cell-local interface normal and position on unstructured meshes
- Hybrid CutFEM-IFEM model for embedded and immersed interfaces with triply-cut cells for the 2D Poisson problem
- Fully mixed finite element methods for thermoelastic contact
- SAFEGUARDED NEURALLY-ACCELERATED PRECONDITIONING (SNAP) FRAMEWORK FOR NONLINEAR OPTIMIZATION
- Large time-step discretization of adiabatic quantum dynamics
- Certified bounds on optimization problems in quantum theory
- A foot-level motion remapping framework for inclined stair walking in virtual reality
- Accurate structural identification for layered composite structures, through a wave and finite element scheme
- Neural Stream Function Method for Electrical Impedance Tomography with Lipschitz Conductivities
- An Energy-based discontinuous Galerkin method for the Westervelt equation with absorbing boundary conditions
- Convergence analysis of an augmented dual-mixed fnite element method with skew-symmetric Nitsche stabilization for the generalized Oseen equations with mixed boundary conditions
- Wasserstein Bounds for Euler and Randomized Midpoint Langevin Sampling with Noisy Gradients
- Constraints on admissible behavior of GMRES applied to tridiagonal Toeplitz systems
- Analysis and structure-preserving discretization of the Heat-GLM system
- Phase-type representations for Strong Stability Preserving Runge--Kutta methods
- Truncated ℋ2 Optimal Model Order Reduction for Bilinear Quadratic Output Systems
- Multifidelity variational inference for derivative-free PDE-constrained inverse problems