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Paper Citation Record · LEDGER

A highly scalable numerical framework for reservoir simulation on UG4 platform

As of 8 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2506.04763.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.04763 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:40:29.384996Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

33 of 33 outbound references displayed

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External citation measurements

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Outbound references

Observation cf490924-3952-4818-9c6e-fb3fb102fbeb · outbound

This paper cites An efficient multicomponent numerical simulator.Society of Petroleum Engineers Journal, 18(05):355–368, 1978.

A highly scalable numerical framework for reservoir simulation on UG4 platform An efficient multicomponent numerical simulator.Society of Petroleum Engineers Journal, 18(05):355–368, 1978

Reference 1

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Observation 3882cfa9-071f-4f4c-a0b3-5b81203bf768 · outbound

This paper cites An equation of state compositional model.

A highly scalable numerical framework for reservoir simulation on UG4 platform An equation of state compositional model

Reference 2

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Observation 072411c6-fa1d-4511-9e63-ba1e69efe16d · outbound

This paper cites Multiphase flow and transport processes in the subsurface: a contribution to the modeling of hydrosystems, volume 1.

A highly scalable numerical framework for reservoir simulation on UG4 platform Multiphase flow and transport processes in the subsurface: a contribution to the modeling of hydrosystems, volume 1

Reference 3

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Observation 07ceacfd-990d-44fa-92f6-67f418de2b6d · outbound

This paper cites Development of techniques for general purpose simulators.

A highly scalable numerical framework for reservoir simulation on UG4 platform Development of techniques for general purpose simulators

Reference 4

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Source-reported events for the cited work

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Observation fc8ba146-e9f3-47fc-a574-577af8ecb2db · outbound

This paper cites Compositional modeling of three-phase flow with gravity using higher-order finite element methods.

A highly scalable numerical framework for reservoir simulation on UG4 platform Compositional modeling of three-phase flow with gravity using higher-order finite element methods

Reference 5

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Observation f9a731f3-0814-4dc3-9280-49818a7e035c · outbound

This paper cites Predicting plume spreading during co 2 geo- sequestration: benchmarking a new hybrid finite element–finite volume compositional simulator with asynchronous time marching.

A highly scalable numerical framework for reservoir simulation on UG4 platform Predicting plume spreading during co 2 geo- sequestration: benchmarking a new hybrid finite element–finite volume compositional simulator with asynchronous time marching

Reference 6

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Observation c693f095-ade4-4112-a323-a711c3c98d21 · outbound

This paper cites A parallel software-platform for solving problems of partial differential equations using unstructured grids and adaptive multigrid methods.

A highly scalable numerical framework for reservoir simulation on UG4 platform A parallel software-platform for solving problems of partial differential equations using unstructured grids and adaptive multigrid methods

Reference 7

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Source-reported events for the cited work

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Observation a7d329eb-61c8-4c2c-9a94-a8c419fa9ea8 · outbound

This paper cites Reservoir simulations: Machine learning and modeling.

A highly scalable numerical framework for reservoir simulation on UG4 platform Reservoir simulations: Machine learning and modeling

Reference 8

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Source-reported events for the cited work

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Observation ad1d7d74-523d-42dc-9414-e6b2f171d709 · outbound

This paper cites Fundamentals of numerical reservoir simulation.

A highly scalable numerical framework for reservoir simulation on UG4 platform Fundamentals of numerical reservoir simulation

Reference 9

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Source-reported events for the cited work

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Observation d4a2fe15-d5d7-4829-b2f3-811a008e4564 · outbound

This paper cites A finite volume scheme for two-phase immiscible flow in porous media.

A highly scalable numerical framework for reservoir simulation on UG4 platform A finite volume scheme for two-phase immiscible flow in porous media

Reference 10

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Source-reported events for the cited work

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Observation f2c04723-43a9-4212-9357-744e508b8c9b · outbound

This paper cites A mixed-dimensional finite volume method for two-phase flow in fractured porous media.

A highly scalable numerical framework for reservoir simulation on UG4 platform A mixed-dimensional finite volume method for two-phase flow in fractured porous media

Reference 11

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Source-reported events for the cited work

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Observation aa09fcaf-65a6-4f12-9676-370faa5cff4a · outbound

This paper cites Node-centered finite volume discretizations for the numerical simulation of multiphase flow in heterogeneous porous media.

A highly scalable numerical framework for reservoir simulation on UG4 platform Node-centered finite volume discretizations for the numerical simulation of multiphase flow in heterogeneous porous media

Reference 12

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Source-reported events for the cited work

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Observation 894a12fb-1e49-4519-8203-de5ae8abc89e · outbound

This paper cites Multiphase flow in heterogeneous porous media: A classical finite element method versus an implicit pressure–explicit saturation-based mixed finite element–finite volume approach.

A highly scalable numerical framework for reservoir simulation on UG4 platform Multiphase flow in heterogeneous porous media: A classical finite element method versus an implicit pressure–explicit saturation-based mixed finite element–finite volume approach

Reference 13

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Observation 2dd37cc3-dc33-4dea-82d8-3eb38f29298e · outbound

This paper cites A method for calculating multi-dimensional immiscible displacement.

A highly scalable numerical framework for reservoir simulation on UG4 platform A method for calculating multi-dimensional immiscible displacement

Reference 14

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Source-reported events for the cited work

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Observation 0cdad817-65ae-48d6-93ce-b31515d4d1f3 · outbound

This paper cites One-dimensional, incompressible, noncapillary, two-phase fluid flow in a porous medium.

A highly scalable numerical framework for reservoir simulation on UG4 platform One-dimensional, incompressible, noncapillary, two-phase fluid flow in a porous medium

Reference 15

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Source-reported events for the cited work

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Observation bc26b175-e7cf-4964-a71f-b0a94410e26c · outbound

This paper cites Analysis of gas-cap or dissolved-gas drive reservoirs.Society of Petroleum Engineers Journal, 1(02):92–104, 1961.

A highly scalable numerical framework for reservoir simulation on UG4 platform Analysis of gas-cap or dissolved-gas drive reservoirs.Society of Petroleum Engineers Journal, 1(02):92–104, 1961

Reference 16

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Observation ac1595d3-0384-4b1c-95c1-56a640003f51 · outbound

This paper cites Impes stability: the cfl limit.

A highly scalable numerical framework for reservoir simulation on UG4 platform Impes stability: the cfl limit

Reference 17

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Observation b5d4f156-a133-4ded-b49b-842569e9bc4b · outbound

This paper cites Numerical computation of multiphase flows in porous media.

A highly scalable numerical framework for reservoir simulation on UG4 platform Numerical computation of multiphase flows in porous media

Reference 18

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Observation 07fee376-20c9-4a02-ab7c-af4d16a05a11 · outbound

This paper cites A parallel, implicit, cell-centered method for two-phase flow with a preconditioned newton–krylov solver.

A highly scalable numerical framework for reservoir simulation on UG4 platform A parallel, implicit, cell-centered method for two-phase flow with a preconditioned newton–krylov solver

Reference 19

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Observation e9fedf7c-2151-4f00-808b-050ebe50f590 · outbound

This paper cites Fully implicit hybrid two-level domain decomposition algorithms for two-phase flows in porous media on 3d unstructured grids.

A highly scalable numerical framework for reservoir simulation on UG4 platform Fully implicit hybrid two-level domain decomposition algorithms for two-phase flows in porous media on 3d unstructured grids

Reference 20

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Observation 5aa7a933-b576-47ed-9676-594ffbeff4e2 · outbound

This paper cites A scalable fully implicit framework for reservoir simulation on parallel computers.

A highly scalable numerical framework for reservoir simulation on UG4 platform A scalable fully implicit framework for reservoir simulation on parallel computers

Reference 21

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A highly scalable numerical framework for reservoir simulation on UG4 platform Order and stepsize control in extrapolation methods

Reference 22

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This paper cites Recent progress in extrapolation methods for ordinary differential equations.

A highly scalable numerical framework for reservoir simulation on UG4 platform Recent progress in extrapolation methods for ordinary differential equations

Reference 23

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Observation e631efbb-7838-49d7-a1d8-17ece11afddd · outbound

This paper cites Extrapolation integrators for quasilinear implicit odes.

A highly scalable numerical framework for reservoir simulation on UG4 platform Extrapolation integrators for quasilinear implicit odes

Reference 24

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 0a0d6927-d7d5-423c-a463-b9f8dfde35a3 · outbound

This paper cites Adaptive numerical solution of PDEs.

A highly scalable numerical framework for reservoir simulation on UG4 platform Adaptive numerical solution of PDEs

Reference 25

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A highly scalable numerical framework for reservoir simulation on UG4 platform Efficient stiff integration of density driven flow problems

Reference 26

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Observation 4eee4430-52b3-45b6-bc61-2740d8fa830e · outbound

This paper cites The effect of capillary forces on immiscible two-phase flow in heterogeneous porous media.

A highly scalable numerical framework for reservoir simulation on UG4 platform The effect of capillary forces on immiscible two-phase flow in heterogeneous porous media

Reference 27

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Observation 5a10a7a4-ab58-4842-8d1d-6e0875972bf4 · outbound

This paper cites Capillary behavior in porous solids.

A highly scalable numerical framework for reservoir simulation on UG4 platform Capillary behavior in porous solids

Reference 28

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Source-reported events for the cited work

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Observation 31a990d1-331e-4d5e-b9e3-f60f0311e059 · outbound

This paper cites Linearly implicit time discretization of non-linear parabolic equations.

A highly scalable numerical framework for reservoir simulation on UG4 platform Linearly implicit time discretization of non-linear parabolic equations

Reference 29

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Source-reported events for the cited work

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Observation fa53ca73-35f3-4c9e-bafc-2f2eb43582e3 · outbound

This paper cites Ug 4: A novel flexible software system for simulating pde based models on high performance computers.

A highly scalable numerical framework for reservoir simulation on UG4 platform Ug 4: A novel flexible software system for simulating pde based models on high performance computers

Reference 30

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation c05fe64f-f299-4905-a2e7-e2153cd64535 · outbound

This paper cites A massively parallel geometric multigrid solver on hierarchically distributed grids.

A highly scalable numerical framework for reservoir simulation on UG4 platform A massively parallel geometric multigrid solver on hierarchically distributed grids

Reference 31

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation ce196cd5-6362-4bdb-94a5-fba6dbda9ddb · outbound

This paper cites Buckley-leverett flow in composite porous media.

A highly scalable numerical framework for reservoir simulation on UG4 platform Buckley-leverett flow in composite porous media

Reference 32

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 7a437ff3-d033-4806-a668-ac2a9b7af215 · outbound

This paper cites Exact integral solutions for two-phase flow.Water Resources Research, 26(3):399–413, 1990.

A highly scalable numerical framework for reservoir simulation on UG4 platform Exact integral solutions for two-phase flow.Water Resources Research, 26(3):399–413, 1990

Reference 33

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raw_fallback, observed 2026-08-07T10:40:29.421933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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