Numerical Methods

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

 🎨Computer Graphics  Content type: Academic
arxiv.org·

Quaternion Maximum-Volume Submatrix Selection with Applications to Multichannel Imaging and Visual Data

 📐Matrix Theory  Content type: Academic
arxiv.org·

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

 🔄Dynamic Programming  Content type: Academic
arxiv.org·

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

 🎨Computer Graphics  Content type: Academic
arxiv.org·

Boundary-compatible interacting approximations of quasilinear PDEs on bounded domains

 🔢mathmemathics  Content type: Academic
arxiv.org·

A Unified DeepONet Framework for Logarithmically Stable Infinite-Dimensional Inverse Problems

 λFunctional Programming  Content type: Academic
arxiv.org·

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

 🎨Computer Graphics  Content type: Academic
arxiv.org·

Arbitrary high order shaped stencils for time domain finite difference schemes in seismic wave propagation

 λFunctional Programming  Content type: Academic
arxiv.org·

A Spectral-Based Method for Network-Formation PDEs

 🕸️Graph Theory  Content type: Academic
arxiv.org·

Energetics of Nucleation in Finitely Deformed, Phase-Transforming Soft Solids

 🎨Computer Graphics  Content type: Academic
arxiv.org·

DAS-PINNs for high-dimensional partial differential equations: extending deep adaptive sampling to spacetime domains

 🎨Computer Graphics  Content type: Academic
arxiv.org·

When Can Phasor-Domain Device Models Be Trusted for Electromechanical Stability Analysis of Grid-Forming Converter-Dominated Microgrids?

 🏗️Design Patterns  Content type: Academic
arxiv.org·

Pressure-robust and quasioptimal Discontinuous Galerkin discretisations of the $p$-Stokes problem

 🎨Computer Graphics  Content type: Academic
arxiv.org·

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

 🔢mathmemathics  Content type: Academic
arxiv.org·

Structure-Preserving Discontinuous Galerkin Methods for Stochastic Shallow Water Equations

 🎨Computer Graphics  Content type: Academic
arxiv.org·

Decoupled iterative schemes for solving stationary MHD problems

 🎨Computer Graphics  Content type: Academic
arxiv.org·

A Unified Framework for Contraction Stability Analysis of Heterogeneous Grid-Forming Inverters

 λFunctional Programming  Content type: Academic
arxiv.org·

Low-Variance Randomised Numerical Linear Algebra for Finite Element Simulation

 📐Matrix Theory  Content type: Academic
arxiv.org·

Exact mean-field phase diagram for self-avoiding active particles in a lattice

 🔵Eigenvalues  Content type: Academic
arxiv.org·

A tensor-train multidimensional inverse Laplace transform

 📈Optimization  Content type: Academic
arxiv.org·
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