Numerical Analysis

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High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities

 🔬Scientific Computing  Content type: Academic
arxiv.org·

Lagrange multipliers in Maximum likelihood estimations and Least squares problems with Constraints

 🧊3D Algorithms  Content type: Academic
arxiv.org·

A decoupled energy-stable mixed finite element method for Poisson-Nernst-Planck-Navier-Stokes equations

 🔬Scientific Computing  Content type: Academic
arxiv.org·

Uniform-in-time Strong Error Estimates of Tamed-FEM to Superlinear SPDEs driven by Multiplicative Noise

 🔬Scientific Computing  Content type: Academic
arxiv.org·

Structure-Preserving Discontinuous Galerkin Methods for Stochastic Shallow Water Equations

 3D Gaussian Splatting  Content type: Academic
arxiv.org·

Error Analysis of Tr-PINNs Algorithm for 2D Incompressible Navier-Stokes Equations with Non-Homogeneous Boundary Conditions

 🧊3D Algorithms  Content type: Academic
arxiv.org·

A Second-order Structure-preserving Parametric FEM for Surface Evolution

 ⚙️Differentiable Simulation  Content type: Academic
arxiv.org·

A Perturbed q-Tsallis Self-Concordant Barrier for Spectrally Robust Semidefinite Programming

 🔬Scientific Computing  Content type: Academic
arxiv.org·

Stable and Scalable Probabilistic Numerical Solvers for Stiff and High-Dimensional ODEs

 🔬Scientific Computing  Content type: Academic
arxiv.org·

An algebraic multiscale preconditioner for large sparse SPD matrices

 🔬Scientific Computing  Content type: Academic
arxiv.org·

ND-TNN: Tensor-Neural-Network Approximation for High-Dimensional Nonlocal Diffusion Models

 NeRF  Content type: Academic
arxiv.org·

Justification and structure- and asymptotic-preserving discretizations of a hyperbolized Cahn-Hilliard equation

 3D Gaussian Splatting  Content type: Academic
arxiv.org·

A novel class of high-order uniformly accurate exponential integrators with local linear extension for the charged-particle dynamics under strong magnetic field

 🔬Scientific Computing  Content type: Academic
arxiv.org·

Fluctuation-stable generalized entropy probes of spectral heterogeneity

 3D Gaussian Splatting  Content type: Academic
arxiv.org·

Fitting scattered data with optional monotonicity constraints on GPU: LipFit package

 3D Gaussian Splatting  Content type: Academic
arxiv.org·

Residual Pseudospectra Reveal a Physics-Informed Koopman Backbone for Tropical Pacific Variability and ENSO Prediction

 🔬Scientific Computing  Content type: Academic
arxiv.org·

A Spectral-Based Method for Network-Formation PDEs

 🔬Scientific Computing  Content type: Academic
arxiv.org·

An indefinite LOBPCG type of algorithm for detecting a definite Hermitian matrix pair

 📐Linear Algebra  Content type: Academic
arxiv.org·

Constructing $C^1$ limit surfaces from unstructured splines via averaging and refinement

 3D Gaussian Splatting  Content type: Academic
arxiv.org·

Post-processed frozen-flow methods for the long time sampling of ergodic dynamics on Riemannian manifolds

 3D Gaussian Splatting  Content type: Academic
arxiv.org·

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