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Paper Citation Record · LEDGER

Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization

As of 17 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 4 inbound Pith citation observations for arXiv:2601.21428.

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measured 43 of 43 reference resolution

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43 of 43 outbound references displayed

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Outbound references

Observation 462e7e5a-1f3e-4bfc-9527-1b0a9452bebd · outbound

This paper cites Modeling with Itˆ o stochastic differential equations.

Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization Modeling with Itˆ o stochastic differential equations

Reference 1

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Observation b6237a8d-a0b3-40d5-8333-584e96e6a05f · outbound

This paper cites Stochastic differential equations.

Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization Stochastic differential equations

Reference 2

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Observation b8c39996-be32-4b23-aac4-1eec4a7e901c · outbound

This paper cites Existence of dynamical low-rank approximations to parabolic problems.

Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization Existence of dynamical low-rank approximations to parabolic problems

Reference 3

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Observation d3a7dee1-1d6c-4bfa-8b4f-6b523ff112fa · outbound

This paper cites Interpola- tory Dynamical Low-Rank Approximation: Theoretical Foundations and Algorithms.

Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization Interpola- tory Dynamical Low-Rank Approximation: Theoretical Foundations and Algorithms

Reference 4

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Observation b747d1d2-ff73-416b-91b3-154abd61a4ec · outbound

This paper cites A rank-adaptive robust integra- tor for dynamical low-rank approximation.

Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization A rank-adaptive robust integra- tor for dynamical low-rank approximation

Reference 5

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Observation 53ee980d-cd65-451e-96af-962935cb252e · outbound

This paper cites An unconventional robust integrator for dy- namical low-rank approximation.

Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization An unconventional robust integrator for dy- namical low-rank approximation

Reference 6

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Observation aab1f981-5efd-4cb4-9040-96b21ca8855a · outbound

This paper cites Stochastic equations in infinite dimensions.

Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization Stochastic equations in infinite dimensions

Reference 7

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Observation 9553634d-4d5a-4019-b9ad-b663ce457f23 · outbound

This paper cites A low-rank projector-splitting integrator for the Vlasov–Poisson equation.

Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization A low-rank projector-splitting integrator for the Vlasov–Poisson equation

Reference 8

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Observation f32899c4-21ac-4b82-bbf3-30f5e56d85d0 · outbound

This paper cites A robust and con- servative dynamical low-rank algorithm.

Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization A robust and con- servative dynamical low-rank algorithm

Reference 9

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Observation 7b69f92c-3536-4f0d-8edf-4bbd3af4f613 · outbound

This paper cites On the Dirac–Frenkel vari- ational principle on tensor Banach spaces.

Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization On the Dirac–Frenkel vari- ational principle on tensor Banach spaces

Reference 10

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Observation fe36668a-e774-4976-a930-cc5123329db4 · outbound

This paper cites Low-order stochastic mode reduction for a realistic barotropic model climate.

Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization Low-order stochastic mode reduction for a realistic barotropic model climate

Reference 11

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Observation afcc2bdc-567d-44d2-b28c-41d831828ba4 · outbound

This paper cites Non-equilibrium transitions in multiscale systems with a bifurcating slow manifold.

Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization Non-equilibrium transitions in multiscale systems with a bifurcating slow manifold

Reference 12

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Observation f9d57dd1-868a-4910-ab9b-0158cfe140ee · outbound

This paper cites Certified reduced basis methods for parametrized partial differential equations.

Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization Certified reduced basis methods for parametrized partial differential equations

Reference 13

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This paper cites A-stability and stochastic mean-square stability.

Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization A-stability and stochastic mean-square stability

Reference 14

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Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization Matrix analysis

Reference 15

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Observation 179c2beb-8a63-4712-ab5f-f1c5fed4b4ae · outbound

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

Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization Existence of dynamical low rank approximations for random semi-linear evolutionary equations on the maximal interval

Reference 16

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Observation 518e8bb3-658e-4861-b327-503cae89a720 · outbound

This paper cites Stability properties of a projector- splitting scheme for dynamical low rank approximation of random parabolic equa- tions.

Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization Stability properties of a projector- splitting scheme for dynamical low rank approximation of random parabolic equa- tions

Reference 17

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Observation 5cd8cfe2-91ef-4325-a29a-eb7897e2c7a3 · outbound

This paper cites Dynamical low-rank approxi- mation for stochastic differential equations.

Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization Dynamical low-rank approxi- mation for stochastic differential equations

Reference 18

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Observation 9f3e91f5-adcd-499f-8fae-5104518654f7 · outbound

This paper cites Numerical Methods for Dynam- ical Low-Rank Approximations of Stochastic Differential Equations - Part II: Stochas- tic discretization.

Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization Numerical Methods for Dynam- ical Low-Rank Approximations of Stochastic Differential Equations - Part II: Stochas- tic discretization

Reference 19

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Observation 79aeaeaf-25ab-49f8-97cb-554ad0389290 · outbound

This paper cites Stochastic stability of differential equations.

Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization Stochastic stability of differential equations

Reference 20

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Observation 2042bb2b-8820-459b-af1f-9d894608ed10 · outbound

This paper cites Discretized dynamical low-rank ap- proximation in the presence of small singular values.

Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization Discretized dynamical low-rank ap- proximation in the presence of small singular values

Reference 21

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Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization Projection methods for dynamical low-rank ap- proximation of high-dimensional problems

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Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization Numerical Solution of Stochastic Differential Equations

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Observation c1d5ce28-3b52-4c8a-b524-0a92e591d3cf · outbound

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Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization Dynamical low-rank approximation

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This paper cites Dynamical Low-Rank Approximation for Burgers’ Equations with Uncertainty.

Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization Dynamical Low-Rank Approximation for Burgers’ Equations with Uncertainty

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Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization Data assimilation

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Observation dd2ec0f7-97ef-4f1c-8bbe-c39d4932597b · outbound

This paper cites A projector-splitting integrator for dynamical low-rank approximation.

Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization A projector-splitting integrator for dynamical low-rank approximation

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Observation 224a806a-fea5-4f9c-9312-06526de6521c · outbound

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Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization Models for stochastic climate prediction

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Observation 9b9f40c6-5137-4d00-8e71-f026cce2f023 · outbound

This paper cites Stochastic differential equations and applications.

Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization Stochastic differential equations and applications

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Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization Stochastic numerics for mathematical physics

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This paper cites Error analysis of the dynamically orthogonal approximation of time dependent random PDEs.

Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization Error analysis of the dynamically orthogonal approximation of time dependent random PDEs

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Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization Stochastic processes and applications

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This paper cites On-the-fly reduced order modeling of passive and reactive species via time-dependent manifolds.

Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization On-the-fly reduced order modeling of passive and reactive species via time-dependent manifolds

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This paper cites Low-dimensional approxima- tions of high-dimensional asset price models.

Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization Low-dimensional approxima- tions of high-dimensional asset price models

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This paper cites Mean-square stability of numerical schemes for stochastic differential systems.

Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization Mean-square stability of numerical schemes for stochastic differential systems

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Observation 6d7b04b8-90c6-48d7-9d13-fea7251a1b3b · outbound

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Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization Stability Analysis of Numerical Schemes for Stochastic Differential Equations

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This paper cites Interaction of additive noise and nonlin- ear dynamics in the double-gyre wind-driven ocean circulation.

Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization Interaction of additive noise and nonlin- ear dynamics in the double-gyre wind-driven ocean circulation

Reference 37

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This paper cites Dynamically orthogonal field equa- tions for continuous stochastic dynamical systems.

Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization Dynamically orthogonal field equa- tions for continuous stochastic dynamical systems

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Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization Blending modified Gaussian closure and non-Gaussian reduced subspace methods for turbulent dynamical systems

Reference 39

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Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization Brownian Motion: A Guide to Random Processes and Stochastic Calculus

Reference 40

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Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization Stochastic calculus for finance II: Continuous-time models

Reference 41

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Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization Data-driven structure-preserving model reduction for stochastic Hamil- tonian systems

Reference 42

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Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization Coupling parameter and particle dynamics for adaptive sampling in Neural Galerkin schemes

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Long-time Behaviour of DLRA for SDEs Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization

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Dynamical Low-Rank Filters for Data Assimilation Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization

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Dynamical Low-Rank Smoothing Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part I: Time discretization

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