Numerical Methods

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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·

Entropy-Compatible Barrier Schemes for Diffusive FENE Flows

 💻Computer Science  Content type: Academic
arxiv.org·

JA-SIREN: Deterministic Initialization for Sinusoidal Networks via Spectral Matching

 📊Optimization  Content type: Academic
arxiv.org·

A Measure-Consistent Operator Learning Method for Infinite-Dimensional Master Equations

 🎯Decision Theory  Content type: Academic
arxiv.org·

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

 🌀Hamiltonian Mechanics  Content type: Academic
arxiv.org·

Neural Legendre-Fenchel transform with Hessian Preconditioning

 ⛰️Convex Analysis  Content type: Academic
arxiv.org·

Communication Strategy Selection for Multi-GPU 3D FDTD with Convolutional Perfectly Matched Boundary Layers

 🔥PyTorch  Content type: Academic
arxiv.org·

Adaptive Non-Uniform Sampling of Bandlimited Signals via Algorithm-Encoder Co-Design

 📊Optimization  Content type: Academic
arxiv.org·
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