A robust second-order low-rank BUG integrator based on the midpoint rule (Q6587345)

scientific article; zbMATH DE number 7896747

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English	A robust second-order low-rank BUG integrator based on the midpoint rule	scientific article; zbMATH DE number 7896747

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title

A robust second-order low-rank BUG integrator based on the midpoint rule (English)

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14 August 2024

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zbMATH Keywords

dynamical low-rank approximation

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matrix differential equations

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structure-preserving integrator

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A robust bi-orthogonal/dynamically-orthogonal method using the covariance pseudo-inverse with application to stochastic flow problems

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Energy stable and conservative dynamical low-rank approximation for the Su-Olson problem

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A new splitting algorithm for dynamical low-rank approximation motivated by the fibre bundle structure of matrix manifolds

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The discretized Schrödinger equation and simple models for semiconductor quantum wells

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Efficient 6D Vlasov simulation using the dynamical low-rank framework \texttt{Ensign}

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Dynamically Orthogonal Runge–Kutta Schemes with Perturbative Retractions for the Dynamical Low-Rank Approximation

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A performance comparison of semi-Lagrangian discontinuous Galerkin and spline based Vlasov solvers in four dimensions

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A low-rank complexity reduction algorithm for the high-dimensional kinetic chemical master equation

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Dynamically Orthogonal Numerical Schemes for Efficient Stochastic Advection and Lagrangian Transport

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Solving Ordinary Differential Equations I

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Rank-adaptive structure-preserving model order reduction of Hamiltonian systems

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Rank-adaptive dynamical low-rank integrators for first-order and second-order matrix differential equations

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A dynamical low-rank approach to the chemical master equation

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Existence of dynamical low rank approximations for random semi-linear evolutionary equations on the maximal interval

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The discrete nonlinear Schrödinger equation. Mathematical analysis, numerical computations and physical perspectives

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Discretized Dynamical Low-Rank Approximation in the Presence of Small Singular Values

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Projection methods for dynamical low-rank approximation of high-dimensional problems

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Dynamical Low‐Rank Approximation

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A robust collision source method for rank adaptive dynamical low-rank approximation in radiation therapy

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A low-rank power iteration scheme for neutron transport criticality problems

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A projector-splitting integrator for dynamical low-rank approximation

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Dual dynamically orthogonal approximation of incompressible Navier Stokes equations with random boundary conditions

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Symplectic dynamical low rank approximation of wave equations with random parameters

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Real-time reduced-order modeling of stochastic partial differential equations via time-dependent subspaces

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A high-order/low-order (HOLO) algorithm for preserving conservation in time-dependent low-rank transport calculations

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A sweep-based low-rank method for the discrete ordinate transport equation

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A low-rank method for two-dimensional time-dependent radiation transport calculations

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Dynamically orthogonal field equations for continuous stochastic dynamical systems

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Identifiers

zbMATH Open document ID

1545.65291

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DOI

10.1007/s10543-024-01032-x

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6587345