Numerical Analysis

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Exponential Time Differencing Schemes for a Phase-Field Model of Multicomponent Membranes

 🔬Scientific Computing  Content type: Academic
arxiv.org·

Floating-point autotuning with customized precisions

 🔬Scientific Computing  Content type: Academic
arxiv.org·

Compositional Approximation Can Strictly Outperform Superpositional Approximation

 📐Linear Algebra  Content type: Academic
arxiv.org·

A Spectral-Based Method for Network-Formation PDEs

 🔬Scientific Computing  Content type: Academic
arxiv.org·

First-Order Trajectory Matching: Fast Ensemble Predictions of Chaotic, Turbulent, Stochastic Systems

 3D Gaussian Splatting  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·

Low-Rank Acceleration of the Operator Fourier Transform

 🔬Scientific Computing  Content type: Academic
arxiv.org·

Low-Variance Randomised Numerical Linear Algebra for Finite Element Simulation

 📐Linear Algebra  Content type: Academic
arxiv.org·

An explicit finite-memory scheme for approximating and sampling invariant measures of stochastic functional differential equations with infinite delay

 🔬Scientific Computing  Content type: Academic
arxiv.org·

Convergence of a discrete-in-time Approximation to a Degenerate Parabolic-Hyperbolic System

 🔬Scientific Computing  Content type: Academic
arxiv.org·

Metric-Free Riemannian Optimization

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

Residual-based Kaczmarz methods for tensor linear equations with t-product

 📐Linear Algebra  Content type: Academic
arxiv.org·

Dmsh: A Multi-Agent Reinforcement Learning Framework for All-Quad Mesh Generation

 ⚙️Differentiable Simulation  Content type: Academic
arxiv.org·

Euler Scheme for Stochastic Functional Differential Equations Driven by Fractional Brownian Motion via Fractional Calculus Techniques

 🔬Scientific Computing  Content type: Academic
arxiv.org·

Operator learning for the 2D incompressible Navier-Stokes equations: a conformal prediction approach in the data-scarce regime

 NeRF  Content type: Academic
arxiv.org·

An implicit octree-based adaptive Material Point Method

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

A Mixed Virtual Element Method for the p-Laplace equation

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

Fourier Neural Operators with rank-1 lattice points and hyperbolic cross

 NeRF  Content type: Academic
arxiv.org·

Decoupled iterative schemes for solving stationary MHD problems

 🔬Scientific Computing  Content type: Academic
arxiv.org·

High-Order Regularity and a Fully Discrete Fourier Spectral Method for a Partially Dissipative Viscoelastic Timoshenko System with Memory

 ⚙️Differentiable Simulation  Content type: Academic
arxiv.org·
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