Numerical Methods

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

 🌀Hamiltonian Mechanics  Content type: Academic
arxiv.org·

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

 ⏱️Time Series Analysis  Content type: Academic
arxiv.org·

Novel physical property preserved methods for stochastic Schr\"{o}dinger--KdV equation

 🌀Hamiltonian Mechanics  Content type: Academic
arxiv.org·

MPC for nonlinear systems: a comparative review of discretization methods

 🎮Reinforcement Learning  Content type: Academic
arxiv.org·

Asymmetric Nonlinear Return Extrapolation and Optimal Portfolio Choice under Stochastic Volatility

 🧠Neural Networks  Content type: Academic
arxiv.org·

Numerical analysis of the second-order time-dependent saddle point Maxwell system via a parameter-free discontinuous Galerkin method: The first optimal ${\bf L}^{2}$-norm error estimates

 🌀Hamiltonian Mechanics  Content type: Academic
arxiv.org·

Improved Convergence Analysis of Topology Dependence in Decentralized SGD

 📐Linear Algebra  Content type: Academic
arxiv.org·

Learning Where to Simulate: Generative Active Sampling for Online PDE Surrogate Training

 Automatic Differentiation  Content type: Academic
arxiv.org·

Numerical Approximation of the stochastic Cahn--Hilliard equation with singular potential

 🌀Hamiltonian Mechanics  Content type: Academic
arxiv.org·

Optimizing Irreversible Perturbations of the Unadjusted Langevin Algorithm

 📊Optimization  Content type: Academic
arxiv.org·

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

 🎮Reinforcement Learning  Content type: Academic
arxiv.org·

Boundary-compatible interacting approximations of quasilinear PDEs on bounded domains

 🌀Hamiltonian Mechanics  Content type: Academic
arxiv.org·

Second-order bulk-surface splitting for the wave equation with kinetic boundary conditions

 🌀Hamiltonian Mechanics  Content type: Academic
arxiv.org·

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

 📊Optimization  Content type: Academic
arxiv.org·

An Energy-Stable Implicit Convex-Splitting BDF2 Scheme for the Cahn-Hilliard-Navier-Stokes Equations

 🌀Hamiltonian Mechanics  Content type: Academic
arxiv.org·

High-order conforming finite elements for the Cahn-Hilliard equation: Relative-energy stability and energy defects

 🎯Optimization Theory  Content type: Academic
arxiv.org·

ANCHOR: Autoregressive Non-intrusive Chunk-Ordered Refinement for Joint Multi-Resolution Speech Quality Modeling

 🗣️Large Language Models  Content type: Academic
arxiv.org·

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

 🎮Reinforcement Learning  Content type: Academic
arxiv.org·

Structure-Preserving Discontinuous Galerkin Methods for Stochastic Shallow Water Equations

 📊Optimization  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

 🌀Hamiltonian Mechanics  Content type: Academic
arxiv.org·

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