Numerical analysis & scientific computing
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- Numerical Approximation of Maxwell Transmission Eigenvalue Problem in Dispersive Media via Holomorphic Operator Function
- Active Flux and Polygons: why a stabilisation and how to implement boundary conditions
- A High-Order Geometric-Compatible DGSEM with Subcell Limiting for the GPR System
- An efficient coupled block preconditioner for the Marker-and-Cell discretization of the Stokes-Darcy equations
- A Discontinuous Galerkin Method for Biharmonic Dirichlet Control Problems With Patch Reconstruction
- A Two-Grid Finite Element Method for the Nonlinear Poisson-Boltzmann Equation Based on a Solution Decomposition
- A fast Laguerre--Fourier spectral method for the polyatomic Boltzmann collision operator with continuous internal energy
- Toeplitz Infinite GMRES for Parameterized Linear Systems
- Mirror descent algorithms with logarithmic barriers
- High-order L2-Galerkin schemes for the decoupled potential integral equations
- Neural-Manifold Primal-Dual Model Order Reduction and Hyper-Reduction for Nonlinear Parametric Variational Inequalities
- Neural-Spectral and Newton-HUM Methods for Reconstructing Controls of Wave Equations
- High-Order Invariant-Domain Preserving Continuous Finite Elements via Graph-Poisson Convex Limiting
- Differentiable FEM versus PINN for pavement layer inverse analysis: enforcing physics as hard or soft constraints
- Analytical and numerical study of nonlinear Riesz-Caputo boundary value problems
- Numerical study of the 2D Kaup-Broer-Kuperschmidt Boussinesq system
- Operator limits of random matrices: Edge universality and sharp approximations
- Measurement-dependent reduction of open dynamics in the quantum phase estimation algorithm: the visible subspace and the damped Fejér kernel
- Self-consistent flow maps based on commutator-free exponential integrators
- Towards Exact Multidimensional Fluxes: A Structure-Preserving Data-Informed Framework for Riemann Solvers
- On the Hadamard form of hierarchical spline Galerkin matrices and their efficient assembly in isogeometric analysis
- The Sandier-Serfaty triangular-lattice conjecture: an independent reproduction of a claimed finite certificate, an adversarial audit of the claimed reduction, and a Lean statement (no proof of the conjecture is claimed)
- Does the triangular lattice minimise the harmonic zero-point energy? A numerical counterexample for completely monotone potentials, with kernel-checked curvature identities
- Efficient Solution of Third-Order ODEs with Diagonally Implicit RK Method Using Tri-Colored Tree and B-series Analysis
- Dynamics-Aware Sampling and Recovery for Tensor-Valued Dynamical Systems