Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-01T05:06:11.907084Z
Paper Citation Record · LEDGER
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system
As of 14 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 1 inbound Pith citation observation for arXiv:2606.31152.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-30T14:55:19.239479Z
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
39 of 39 outbound references displayed
- verified exact0
- verified fuzzy28
- unresolved10
- parse uncertain0
- malformed identifier0
- metadata mismatch1
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 6e8e82c1-edcc-469b-b533-88e23e850034 · outbound
This paper cites The 2D Boussinesq equations with vertical viscosity and vertical diffusivity.Journal of Differential Equations, 249(5):1078–1088, 2010.
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system The 2D Boussinesq equations with vertical viscosity and vertical diffusivity.Journal of Differential Equations, 249(5):1078–1088, 2010
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T22:42:58.779389Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 08d7e1e3-a35b-4739-94ff-2228bbdb1abd · outbound
This paper cites Global regularity results for the 2D Boussinesq equations with vertical dissipation.Journal of Differential Equations, 251(6):1637– 1655, 2011.
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system Global regularity results for the 2D Boussinesq equations with vertical dissipation.Journal of Differential Equations, 251(6):1637– 1655, 2011
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T22:42:58.749642Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 12590841-8453-4390-b546-1123f18c760d · outbound
This paper cites Viscosity in error upper bound for a consistent splitting scheme of the Navier-Stokes equations.
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system Viscosity in error upper bound for a consistent splitting scheme of the Navier-Stokes equations
Reference 3
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-07-01T10:45:42.992243Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation af9cfeb9-505b-4033-9d06-5bcb4fff5e5f · outbound
This paper cites Impact of Reynolds number and slip/no-slip boundary condition on stratification in a two-dimensional Boussinesq system.Computational and Applied Mathematics, 45(4):Paper No.
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system Impact of Reynolds number and slip/no-slip boundary condition on stratification in a two-dimensional Boussinesq system.Computational and Applied Mathematics, 45(4):Paper No
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T22:42:58.784515Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ad6368b4-366d-4097-b9a7-681e41d02314 · outbound
This paper cites Global regularity for the two-dimensional anisotropic Boussinesq equations with vertical dissipation.Archive for Rational Mechanics and Analysis, 208(3):985–1004, 2013.
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system Global regularity for the two-dimensional anisotropic Boussinesq equations with vertical dissipation.Archive for Rational Mechanics and Analysis, 208(3):985–1004, 2013
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T22:42:58.751494Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 93add9e7-e28d-40c4-bcd6-37b1c1e80c83 · outbound
This paper cites an unresolved cited work.
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-07-06T22:42:58.756835Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b74d5caa-c2c4-44e7-94ed-3b1bad536564 · outbound
This paper cites Global regularity for the 2D Boussinesq equations with partial viscosity terms.
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system Global regularity for the 2D Boussinesq equations with partial viscosity terms
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T22:42:58.769536Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 3b857f5d-739f-4e44-9a8e-19014a2a9d30 · outbound
This paper cites an unresolved cited work.
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-07-06T22:42:58.771783Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 3549eb91-a221-4b92-8ad5-66cd3ede1a3c · outbound
This paper cites Global existence results for the anisotropic Boussinesq system in dimension two.Mathematical Models and Methods in Applied Sciences, 21(3):421–457, 2011.
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system Global existence results for the anisotropic Boussinesq system in dimension two.Mathematical Models and Methods in Applied Sciences, 21(3):421–457, 2011
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T22:42:58.758772Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 78dc8a18-e4ea-4e03-9cbd-86b32d675a60 · outbound
This paper cites an unresolved cited work.
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-07-06T22:42:58.797725Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 0dc4273e-d0f2-497e-9c78-8115d6abebc4 · outbound
This paper cites Stability and exponential decay for the 2D anisotropic Boussinesq equations with horizontal dissipation.Calculus of Variations and Partial Differential Equations, 60(3):Paper No.
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system Stability and exponential decay for the 2D anisotropic Boussinesq equations with horizontal dissipation.Calculus of Variations and Partial Differential Equations, 60(3):Paper No
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T22:42:58.773672Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 398af363-f403-457d-b9dd-8589b4acb7ad · outbound
This paper cites Garcia-Archilla, V.
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system Garcia-Archilla, V
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T22:42:58.740694Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f96835e3-4089-4aec-a888-70efb99cbd86 · outbound
This paper cites an unresolved cited work.
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-07-06T22:42:58.747826Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f93a408b-7c97-4922-9173-8400dfa7836d · outbound
This paper cites an unresolved cited work.
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-07-06T22:42:58.742348Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 2522594e-a039-43d4-8065-c778fe5c12e6 · outbound
This paper cites Guermond and J.
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system Guermond and J
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T22:42:58.765695Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4e4eb5d8-7726-4505-a59c-8d51c0952a4c · outbound
This paper cites Hou and Congming Li.
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system Hou and Congming Li
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T22:42:58.744006Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ea645d2f-5a22-4a0c-bd5e-9872c79b1a34 · outbound
This paper cites Huang and J.
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system Huang and J
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T22:42:58.795685Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 5221bc4f-20f3-4470-a453-98f1c0278633 · outbound
This paper cites Huang and J.
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system Huang and J
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T22:42:58.734650Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ac2ef8c4-8621-484e-9ea8-4d0ee01d9ea1 · outbound
This paper cites A new class of implicit–explicit bdfk sav schemes for general dissipative systems and their error analysis.Computer Methods in Applied Mechanics and Engineering, 392:114718, 2022.
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system A new class of implicit–explicit bdfk sav schemes for general dissipative systems and their error analysis.Computer Methods in Applied Mechanics and Engineering, 392:114718, 2022
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T22:42:58.791872Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b61a18e7-68f8-4c00-8ed2-2b4e93380038 · outbound
This paper cites Stability of hydrostatic equilibrium to the 2D Boussinesq systems with partial dissipation.Applied Mathematics Letters, 98:392–397, 2019.
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system Stability of hydrostatic equilibrium to the 2D Boussinesq systems with partial dissipation.Applied Mathematics Letters, 98:392–397, 2019
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T22:42:58.789898Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation bb9005fe-e944-4a0c-9c2e-d47268629790 · outbound
This paper cites Optimal decay for the 3D anisotropic Boussinesq equations near the hydrostatic balance.Calculus of Variations and Partial Differential Equations, 61(6):Paper No.
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system Optimal decay for the 3D anisotropic Boussinesq equations near the hydrostatic balance.Calculus of Variations and Partial Differential Equations, 61(6):Paper No
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T22:42:58.793939Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation cd47523f-34f5-46c7-96f5-d8555cd899d9 · outbound
This paper cites Unconditionally stable, second order, decoupled ensemble schemes for computing evolutionary Boussinesq equations.Applied Numerical Mathematics, 192:241–260, 2023.
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system Unconditionally stable, second order, decoupled ensemble schemes for computing evolutionary Boussinesq equations.Applied Numerical Mathematics, 192:241–260, 2023
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T22:42:58.748906Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 82dd9123-d5c4-4f03-aa02-d7878335f54a · outbound
This paper cites Accurate, stable and efficient Navier–Stokes solvers based on explicit treatment of the pressure term.Journal of Computational Physics, 199(1):221–259, 2004.
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system Accurate, stable and efficient Navier–Stokes solvers based on explicit treatment of the pressure term.Journal of Computational Physics, 199(1):221–259, 2004
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T22:42:58.762238Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c6af4b2d-dcca-4734-ad17-c87db62f9d5d · outbound
This paper cites an unresolved cited work.
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-07-06T22:42:58.758596Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 6124481e-e83a-4dcc-9062-890cd61bc0e9 · outbound
This paper cites Error analysis of BDF2 scheme for the Boussinesq system based on exponential scalar auxiliary variable.Computational Methods in Applied Mathematics, 26(1):89–107, 2026.
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system Error analysis of BDF2 scheme for the Boussinesq system based on exponential scalar auxiliary variable.Computational Methods in Applied Mathematics, 26(1):89–107, 2026
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T22:42:58.760435Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 22284042-df51-4de0-8669-ff39b2d53445 · outbound
This paper cites an unresolved cited work.
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-07-06T22:42:58.755121Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d10b4c55-eaa3-4ec0-bf2f-52b8f09f6331 · outbound
This paper cites Pedlosky.Geophysical Fluid Dynamics.
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system Pedlosky.Geophysical Fluid Dynamics
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T22:42:58.786151Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 150ba4d7-fe66-4b98-bc90-6fa137cdd445 · outbound
This paper cites Springer Science & Business Media, 2011.
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system Springer Science & Business Media, 2011
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T22:42:58.787935Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 581f9bf6-fb71-4139-acae-74ef142daa68 · outbound
This paper cites The scalar auxiliary variable (SAV) approach for gradient flows.Journal of Computational Physics, 353:407–416, 2018.
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system The scalar auxiliary variable (SAV) approach for gradient flows.Journal of Computational Physics, 353:407–416, 2018
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T22:42:58.777443Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 2df8330c-eeeb-4122-bfd7-655e3a5fd71c · outbound
This paper cites A new class of efficient and robust energy stable schemes for gradient flows.SIAM Review, 61(3):474–506, 2019.
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system A new class of efficient and robust energy stable schemes for gradient flows.SIAM Review, 61(3):474–506, 2019
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T22:42:58.767695Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 59046004-343e-4679-a27e-99d8c3758382 · outbound
This paper cites Error estimates for finite element approximations of consistent splitting schemes for incompressible flows.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS SERIES B, 8(3):663, 2007.
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system Error estimates for finite element approximations of consistent splitting schemes for incompressible flows.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS SERIES B, 8(3):663, 2007
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T22:42:58.764059Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ff8bcb62-7d10-4a6f-a3d0-7b71efeb6670 · outbound
This paper cites an unresolved cited work.
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system Unresolved cited work
Reference 32
- Resolution
- unresolved
- raw_fallback, observed 2026-07-06T22:42:58.781059Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 41f4ba01-4268-4e59-b9b3-cfe6299284f4 · outbound
This paper cites Stability near hydrostatic equilibrium to the 2D Boussinesq equations without thermal diffusion.Archive for Rational Mechanics and Analysis, 237(2):585–630, 2020.
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system Stability near hydrostatic equilibrium to the 2D Boussinesq equations without thermal diffusion.Archive for Rational Mechanics and Analysis, 237(2):585–630, 2020
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T22:42:58.741434Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 3899bb03-aff8-47bd-9384-6932cfa95348 · outbound
This paper cites an unresolved cited work.
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system Unresolved cited work
Reference 34
- Resolution
- unresolved
- raw_fallback, observed 2026-07-06T22:42:58.728145Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 50802ef6-6c4f-468b-904c-346a362f868e · outbound
This paper cites an unresolved cited work.
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system Unresolved cited work
Reference 35
- Resolution
- unresolved
- raw_fallback, observed 2026-07-06T22:42:58.782613Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 68ed5518-df58-423d-b331-e85449b409c5 · outbound
This paper cites The generalized scalar auxiliary variable applied to the incompressible Boussinesq equation.Journal of Scientific Computing, 2026.
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system The generalized scalar auxiliary variable applied to the incompressible Boussinesq equation.Journal of Scientific Computing, 2026
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T22:42:58.764397Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a4d923bb-3baf-42df-9618-7111a3774ead · outbound
This paper cites Gauge method for viscous incompressible flows.Communications in Mathematical Sciences, 1(2):317–332, 2003.
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system Gauge method for viscous incompressible flows.Communications in Mathematical Sciences, 1(2):317–332, 2003
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T22:42:58.775582Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b16f8a65-f10c-4f91-811a-1aa2c150a981 · outbound
This paper cites Zhang, L.
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T22:42:58.753285Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 564936f8-34a4-4930-8e48-09b8a87f9c1e · outbound
This paper cites An iterative projection method for unsteady navier–stokes equations with high reynolds numbers.Advances in Computational Mathematics, 51(5):44, 2025.
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system An iterative projection method for unsteady navier–stokes equations with high reynolds numbers.Advances in Computational Mathematics, 51(5):44, 2025
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-06T22:42:58.733733Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Pith citing papers
Observation 9e054754-115b-4e29-8f80-37eddf720843 · inbound
A spectral-vanishing-viscosity stabilization of a higher-order consistent splitting scheme for the Navier-Stokes equations cites this paper.
A spectral-vanishing-viscosity stabilization of a higher-order consistent splitting scheme for the Navier-Stokes equations A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-07-30T14:55:19.239479Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.