🔢 Numerical Methods - hello

Discussed on DEV

📐Linear Algebra arxiv.org·

A uniform-in-time weakly convergent explicit numerical method for the underdamped Langevin equation with polynomial potentials

🎨Computer Graphics arxiv.org·

Analytic First Derivatives of SIDER Interpolation

📐Computational Geometry arxiv.org·

Geodesic Interpolation on the Grassmann Manifold: GLERP and Recursive GIDER Interpolants

📐TLA+arxiv.org·

Formalizing Numerical Analysis: An Agent Pipeline and Quality Audit Beyond Kernel Acceptance

🔬Deep Learning arxiv.org·

fOGA: An Orthogonal Greedy Algorithm for Fractional Laplacian Problems

📐Computational Geometry arxiv.org·

Trivariate Splines on Fans of Hyperplane Arrangements and Koszul Homology

📐Computational Geometry arxiv.org·

Error Estimates for Nitsche's Method on Approximate Domains

🕸️GraphBLAS arxiv.org·

Convergence of an IP DG Method for the Quad-Curl Problem

📐Computational Geometry arxiv.org·

Nodal Representations for Kernel-Based Multilevel Interpolation

🎲Deterministic Simulation arxiv.org·

Practical and Scalable Hamiltonian Monte Carlo Without the Metropolis Test

📐Linear Algebra arxiv.org·

Nitsche-based FEM for the Laplace eigenvalue problem: spectral approximation and a posteriori error analysis

⚙️Chapel arxiv.org·

Efficient and Fast Tensor-Product Multinode Shepard Collocation for Elliptic PDEs on Cartesian Grids

📐Linear Algebra arxiv.org·

Numerical Integration at the Intersection of Probability Theory, Number Theory and Dynamical Systems

📐Linear Algebra arxiv.org·

A priori error analysis of a mass-lumped midpoint finite element method with a structure-preserving solver for the Landau--Lifshitz--Gilbert equation with Dzyal...

⚙️Chapel arxiv.org·

Hybrid-high order method in space and implicit schemes in time for the biharmonic wave equation

📐Linear Algebra arxiv.org·

Symplecticity-preserving prediction of parameter-dependent Hamiltonian dynamics by Generalized Kernel Interpolation

🔬Deep Learning arxiv.org·

Design principles for stable and generalizable data-driven discretizations for solving linear hyperbolic conservation laws

⚛️Quantum Computing arxiv.org·

The effect of numerical integration in the FEM for elliptic problems with mixed boundary conditions

Fortran is still alive in aerospace and HPC. Here is why.

A uniform-in-time weakly convergent explicit numerical method for the underdamped Langevin equation with polynomial potentials

Analytic First Derivatives of SIDER Interpolation

Geodesic Interpolation on the Grassmann Manifold: GLERP and Recursive GIDER Interpolants

Formalizing Numerical Analysis: An Agent Pipeline and Quality Audit Beyond Kernel Acceptance

fOGA: An Orthogonal Greedy Algorithm for Fractional Laplacian Problems

Trivariate Splines on Fans of Hyperplane Arrangements and Koszul Homology

Error Estimates for Nitsche's Method on Approximate Domains

Convergence of an IP DG Method for the Quad-Curl Problem

Nodal Representations for Kernel-Based Multilevel Interpolation

Practical and Scalable Hamiltonian Monte Carlo Without the Metropolis Test

Nitsche-based FEM for the Laplace eigenvalue problem: spectral approximation and a posteriori error analysis

Efficient and Fast Tensor-Product Multinode Shepard Collocation for Elliptic PDEs on Cartesian Grids

Numerical Integration at the Intersection of Probability Theory, Number Theory and Dynamical Systems

A priori error analysis of a mass-lumped midpoint finite element method with a structure-preserving solver for the Landau--Lifshitz--Gilbert equation with Dzyal...

Hybrid-high order method in space and implicit schemes in time for the biharmonic wave equation

Symplecticity-preserving prediction of parameter-dependent Hamiltonian dynamics by Generalized Kernel Interpolation

Design principles for stable and generalizable data-driven discretizations for solving linear hyperbolic conservation laws

Computing resonances of perturbed Schr\"odinger equations: Application to Reissner-Norsdtr\"om-de Sitter black holes