Numerical Methods

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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·

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

 🌀Hamiltonian Mechanics  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·

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

 📊Optimization  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·

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·

Structure-Preserving Discontinuous Galerkin Methods for Stochastic Shallow Water Equations

 📊Optimization  Content type: Academic
arxiv.org·

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

 🌀Hamiltonian Mechanics  Content type: Academic
arxiv.org·

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

 Automatic Differentiation  Content type: Academic
arxiv.org·

AutoNumerics-Zero: Automated Discovery of State-of-the-Art Mathematical Functions

 Automatic Differentiation  Content type: Academic
arxiv.org·

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

 🌀Hamiltonian Mechanics  Content type: Academic
arxiv.org·

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

 🔥PyTorch  Content type: Academic
arxiv.org·

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

 🌀Hamiltonian Mechanics  Content type: Academic
arxiv.org·

Linear poroelasticity with solid incompressibility: consistent formulation and scalable numerical solution

 ⛰️Convex Analysis  Content type: Academic
arxiv.org·

The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence

 Automatic Differentiation  Content type: Academic
arxiv.org·

A New Level Set Formulation for Improved Dirichlet Eigenvalue Minimizers

 📐Linear Algebra  Content type: Academic
arxiv.org·

Weighted hp-Uniform Decompositions for H^k-Type Tensor-Product Spaces in Arbitrary Dimension

 📐Linear Algebra  Content type: Academic
arxiv.org·

A Natural Decomposition Method for Essential Boundary Conditions in Noninterpolatory Meshfree Spaces

 🌀Hamiltonian Mechanics  Content type: Academic
arxiv.org·

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

 🔥PyTorch  Content type: Academic
arxiv.org·

Adjoint-based Perfusion Estimation from Dynamic Contrast-Enhanced Ultrasound: Advection-Diffusion and Two-Compartment Models

 🔥PyTorch  Content type: Academic
arxiv.org·

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