Paper Citation Record · LEDGER

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations

As of 13 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 1 inbound Pith citation observation for arXiv:2411.13067.

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

pith.paper-citation-record.v1
2411.13067 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T17:00:30.774480Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-13T11:52:40.709140Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

39 of 39 outbound references displayed

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External citation measurements

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Outbound references

Observation fc323d62-267b-49d3-af5c-b5ef0e17ab68 · outbound

This paper cites Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues.

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:00:31.376306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c7610e06-d30f-4c97-b7e2-8637e3e976c1 · outbound

This paper cites Primal-dual strategy for constrained optimal control problems.

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations Primal-dual strategy for constrained optimal control problems

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-12T17:00:30.620635Z

Source-reported events for the cited work

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Observation 43adb74b-5a3d-41e7-8ec2-4517cf5f63fe · outbound

This paper cites Volume effects in the Keller–Segel model: energy estimates preventing blow-up.

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations Volume effects in the Keller–Segel model: energy estimates preventing blow-up

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:00:31.355656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 09708574-e469-48a4-b359-005a38c639ef · outbound

This paper cites Cross diffusion and nonlinear diffusion preventing blow up in the Keller–Segel model.

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations Cross diffusion and nonlinear diffusion preventing blow up in the Keller–Segel model

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:00:31.341806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 68ca8e22-8f6e-4881-8e90-4773e546b1da · outbound

This paper cites A positivity preserving, energy stable finite dif- ference scheme for the Flory-Huggins-Cahn-Hilliard-Navier-Stokes system.

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations A positivity preserving, energy stable finite dif- ference scheme for the Flory-Huggins-Cahn-Hilliard-Navier-Stokes system

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:00:31.207929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 167056c2-7f9e-41d2-a7ba-08ef4bd2ff1d · outbound

This paper cites Positivity-preserving, energy stable numerical schemes for the Cahn-Hilliard equation with logarithmic potential.

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations Positivity-preserving, energy stable numerical schemes for the Cahn-Hilliard equation with logarithmic potential

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:00:31.196836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation aa5fa719-3c55-4093-91be-c958cee11493 · outbound

This paper cites A new Lagrange multiplier approach for gradient flows.

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations A new Lagrange multiplier approach for gradient flows

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:00:31.185923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 90e6eaf6-c889-491f-968e-6a9c071f84d8 · outbound

This paper cites Multiple scalar auxiliary variable (MSA V) approach and its application to the phase- field vesicle membrane model.

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations Multiple scalar auxiliary variable (MSA V) approach and its application to the phase- field vesicle membrane model

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:00:31.174829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6a05e189-9a66-4660-91f6-d8fdb4bf234f · outbound

This paper cites Global constraints preserving scalar auxiliary variable schemes for gradient flows.

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations Global constraints preserving scalar auxiliary variable schemes for gradient flows

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:00:31.164045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7d4165fc-c014-4470-85c5-0ace109c7622 · outbound

This paper cites A new Lagrange multiplier approach for constructing structure preserving schemes, I.

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations A new Lagrange multiplier approach for constructing structure preserving schemes, I

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:00:31.153581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 377d39f7-ac2c-4460-bf45-6e05b1054287 · outbound

This paper cites A new Lagrange multiplier approach for constructing structure preserving schemes, II.

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:00:31.143075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a4b755eb-1b34-4f23-84dc-8aadab525ffa · outbound

This paper cites High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems.

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:00:31.132530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b32725fb-3390-41d5-9251-fbd2036b1e14 · outbound

This paper cites A second-order positivity preserving central-upwind scheme for chemo- taxis and haptotaxis models.

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations A second-order positivity preserving central-upwind scheme for chemo- taxis and haptotaxis models

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:00:31.121406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4b7f677d-9aa7-4dcb-9e71-bb2f449da908 · outbound

This paper cites Numerical solution of the Navier-Stokes equations.

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations Numerical solution of the Navier-Stokes equations

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:00:31.108691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f34e48c0-8433-498d-aa13-c6399a46317f · outbound

This paper cites The Keller–Segel model with logistic sensitivity function and small diffusivity.

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations The Keller–Segel model with logistic sensitivity function and small diffusivity

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:00:31.096682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 569baf1f-9666-4986-8808-cd5afb2b11b1 · outbound

This paper cites Fully discrete analysis of a discontinuous finite element method for the Keller-Segel chemotaxis model.

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations Fully discrete analysis of a discontinuous finite element method for the Keller-Segel chemotaxis model

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:00:31.084428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 41300fad-685d-42e3-8026-be9964d53d41 · outbound

This paper cites Finite-dimensional variational inequalities and complementarity prob- lems.

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations Finite-dimensional variational inequalities and complementarity prob- lems

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:00:31.071996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6db4c52b-01ae-4901-a4bf-1f9779bb9620 · outbound

This paper cites A finite volume scheme for the Patlak–Keller–Segel chemotaxis model.

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations A finite volume scheme for the Patlak–Keller–Segel chemotaxis model

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:00:31.060367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 60d3c1b3-2ed1-46f7-9c1b-b5d0ac299bf8 · outbound

This paper cites An overview of projection methods for incompressible flows.

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations An overview of projection methods for incompressible flows

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:00:31.048621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 694a3fd6-8c54-4cc1-940a-c54576a2c549 · outbound

This paper cites Finite-dimensional variational inequality and nonlinear complementarity problems: a survey of theory, algorithms and applications.

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations Finite-dimensional variational inequality and nonlinear complementarity problems: a survey of theory, algorithms and applications

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:00:31.037907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 85f40840-c71a-4257-af23-5cbe5a374c42 · outbound

This paper cites Global existence for a parabolic chemotaxis model with prevention of over- crowding.

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations Global existence for a parabolic chemotaxis model with prevention of over- crowding

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:00:31.024703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a55ce9f1-8e4a-4fbd-aca3-bacc0493ff09 · outbound

This paper cites From 1970 until present: the Keller-Segel model in chemotaxis and its consequences.

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations From 1970 until present: the Keller-Segel model in chemotaxis and its consequences

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:00:31.013325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 499d9e2f-aa0e-41a7-939f-201285f0c43d · outbound

This paper cites A linear second-order maximum bound principle-preserving BDF scheme for the Allen-Cahn equation with a general mobility.

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations A linear second-order maximum bound principle-preserving BDF scheme for the Allen-Cahn equation with a general mobility

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:00:31.001010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 53a82a4a-9957-439d-bef8-d4ec23627632 · outbound

This paper cites Bound/positivity preserving and energy stable scalar auxiliary variable schemes for dissipative systems: Applications to Keller–Segel and Poisson–Nernst–Planck equations.

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations Bound/positivity preserving and energy stable scalar auxiliary variable schemes for dissipative systems: Applications to Keller–Segel and Poisson–Nernst–Planck equations

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:00:30.987351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7b76dc6b-a844-4721-8dec-276920323c91 · outbound

This paper cites Lagrange multiplier approach to variational problems and applications.

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations Lagrange multiplier approach to variational problems and applications

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:00:30.975712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 73d23f26-c223-4598-a3b5-dbd3321ea3e5 · outbound

This paper cites Unconditionally maximum bound principle preserving linear schemes for the conservative Allen–Cahn equation with nonlocal constraint.

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations Unconditionally maximum bound principle preserving linear schemes for the conservative Allen–Cahn equation with nonlocal constraint

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:00:30.963501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 521a17a9-dd3b-4a69-b84e-30d0ad296da4 · outbound

This paper cites Positivity-preserving and asymptotic preserving method for 2d Keller-Segal equations.

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations Positivity-preserving and asymptotic preserving method for 2d Keller-Segal equations

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:00:30.952200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b643f20f-8c8c-422b-a525-db793dee359b · outbound

This paper cites On error estimates of projection methods for Navier–Stokes equations: first-order schemes.

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations On error estimates of projection methods for Navier–Stokes equations: first-order schemes

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:00:30.939319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 71921fbf-fe1c-4647-a7b0-82a22be05bff · outbound

This paper cites On error estimates of some higher order projection and penalty-projection methods for Navier-Stokes equations.

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations On error estimates of some higher order projection and penalty-projection methods for Navier-Stokes equations

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:00:30.925501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0d311b5a-7b42-4fcb-8408-205a7766bdd1 · outbound

This paper cites On pressure stabilization method and projection method for unsteady Navier-Stokes equations.

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations On pressure stabilization method and projection method for unsteady Navier-Stokes equations

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:00:30.912984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 33e9fb2f-f207-4a03-b671-761d3a29b7c9 · outbound

This paper cites Spectral methods: algorithms, analysis and applications , volume 41.

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations Spectral methods: algorithms, analysis and applications , volume 41

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-12T17:00:30.742062Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation de7bc236-e39b-4005-b85c-a1f4f89eb45e · outbound

This paper cites Unconditionally bound preserving and energy dissipative schemes for a class of Keller–Segel equations.

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations Unconditionally bound preserving and energy dissipative schemes for a class of Keller–Segel equations

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:00:30.892702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 29696696-b0f0-4fc0-b210-d74cf0bc0652 · outbound

This paper cites A new class of efficient and robust energy stable schemes for gradient flows.

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations A new class of efficient and robust energy stable schemes for gradient flows

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:00:30.882017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation cfa70e66-0644-4b50-a13f-7bd81362c325 · outbound

This paper cites Numerical approximations of Allen-Cahn and Cahn-Hilliard equations.

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations Numerical approximations of Allen-Cahn and Cahn-Hilliard equations

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:00:30.869914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6fb226ff-9034-4212-a754-59e50dcbb136 · outbound

This paper cites Sur l’approximation de la solution des ´ equations de navier-stokes par la m´ ethode des pas frac- tionnaires (ii).

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations Sur l’approximation de la solution des ´ equations de navier-stokes par la m´ ethode des pas frac- tionnaires (ii)

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:00:30.858732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b7ced4c7-9637-4bdc-a6dd-1a126d45d1e9 · outbound

This paper cites Positivity preserving and mass conservative projection method for the Poisson– Nernst–Planck equation.

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations Positivity preserving and mass conservative projection method for the Poisson– Nernst–Planck equation

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:00:30.847268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 98a2971a-69be-4109-87ce-bd3d1ca9a333 · outbound

This paper cites Stability and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for advection-diffusion problems.

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations Stability and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for advection-diffusion problems

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:00:30.835490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 65fda1ba-ddcb-47b5-9d36-66fff97cf832 · outbound

This paper cites Fully decoupled and energy stable BDF schemes for a class of Keller-Segel equations.

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations Fully decoupled and energy stable BDF schemes for a class of Keller-Segel equations

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:00:30.823231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1fa1f6b0-8a2d-4e33-ba49-0a883690d70f · outbound

This paper cites Finite volume methods for a Keller–Segel system: discrete energy, error estimates and numerical blow-up analysis.

A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations Finite volume methods for a Keller–Segel system: discrete energy, error estimates and numerical blow-up analysis

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:00:30.810704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

Observation f79cfc0a-9cb2-432c-b9f5-a74389122168 · inbound

Bound preserving and mass conservative methods for the nonlocal Cahn-Hilliard equation with the logarithmic Flory-Huggins potential cites this paper.

Bound preserving and mass conservative methods for the nonlocal Cahn-Hilliard equation with the logarithmic Flory-Huggins potential A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations

Reference 27

Resolution: unresolved; no resolver link, observed 2026-07-13T11:52:40.709140Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.