Numerical analysis & scientific computing
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- Positivity-preserving semi-Lagrangian discontinuous Galerkin methods for multi-species Vlasov-Ampère models of plasma
- ROOT ISOLATION FOR ANALYTIC FUNCTIONS USING CUBIC HERMITE INTERPOLATION.
- Fully discrete energy stability for a one-dimensional hyperbolic relaxation model with complete topography terms
- A Branch-Free General Renormalization Scheme for Pair Arithmetic and Its Performance Evaluation
- Optimal convergence analysis of arbitrary Lagrangian-Eulerian finite element methods for two-phase Stokes flow problems with moving interface
- Distance-Residual Physics-Informed Neural Networks: A Deep Learning Framework for Differential and Partial Differential Inclusions
- Tight Convergence Bounds for the Classical Kaczmarz Method
- Finite element error estimates for a bilinear optimal control problem with pointwise tracking governed by a semilinear elliptic PDE
- Accurate Density of States Estimation: A Comparative Study
- Mapped Multi-Patch Spectral Extreme Learning Machine for Partial Differential Equations
- Finite-Data Error Bounds for Approximating the Koopman Operator: Sampling Measures, Super-Polynomial Convergence and Regularization
- Breaking the Curse of Dimensionality in Quantum PDE Solvers via Gevrey Regularity
- Boundary Value Correction for the Boundary Element Method
- NEXT: Physics-Informed Neuro-Spectral Exponential Time Differencing Architectures
- Anatomical Connectivity from Tractography-free Diffusion Tensor Imaging and Its Application to EEG Brain Imagin
- Convergence of a fully discrete approximation for the stochastic 2D Euler equations with Kraichnan transport noise
- Uniform convergence of diffusion synthetic acceleration for heterogeneous slab transport
- A new operator splitting method for coupled PDE problems, with an application to poromechanics
- Energy-minimizing domain decomposition
- Operator-ADI balanced truncation of delay differential systems
- A vanishing-viscosity minimizing movement Fourier spectral method for scalar conservation laws
- Deep-Learning Solvers and Surrogates for Infinity and p-Laplace Problems
- Sparsely connected rank-inspired neural network
- A Monolithic Discontinuous Galerkin Framework for Darcy Optimal Control with Radon-Measure Tracking and Pointwise Control Constraints
- A nonoverlapping spectral additive Schwarz method for interior penalty discontinuous Galerkin discretizations of Anisotropic Elliptic Problems