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Paper Citation Record · LEDGER

Thermodynamical extension of a symplectic numerical scheme with half space and time shift demonstrated on rheological waves in solids

As of 16 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:1908.07975.

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pith.paper-citation-record.v1
1908.07975 v4

Coverage vector

measured 28 of 28 reference resolution

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Reference resolution

28 of 28 outbound references displayed

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Outbound references

Observation bdca598e-c4f3-4a4f-9d47-d1943017746a · outbound

This paper cites Implicit numerical schemes for generalized heat conduction equations.International Journal of Heat and Mass T ransfer 2018, 126, 1177–1182.

Thermodynamical extension of a symplectic numerical scheme with half space and time shift demonstrated on rheological waves in solids Implicit numerical schemes for generalized heat conduction equations.International Journal of Heat and Mass T ransfer 2018, 126, 1177–1182

Reference 1

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Observation 29867e03-2dd0-4cb4-ab40-a2e7ef52abff · outbound

This paper cites Numerical stability with help from entropy: Solving a set of 13 moment equations for shock tube problem.

Thermodynamical extension of a symplectic numerical scheme with half space and time shift demonstrated on rheological waves in solids Numerical stability with help from entropy: Solving a set of 13 moment equations for shock tube problem

Reference 2

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This paper cites Structure-preserving integrators for dissipative systems based on reversible-irreversible splitting.

Thermodynamical extension of a symplectic numerical scheme with half space and time shift demonstrated on rheological waves in solids Structure-preserving integrators for dissipative systems based on reversible-irreversible splitting

Reference 3

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This paper cites Energy-Entropy-Momentum integration schemes for general discrete non-smooth dissipative problems in thermomechanics.

Thermodynamical extension of a symplectic numerical scheme with half space and time shift demonstrated on rheological waves in solids Energy-Entropy-Momentum integration schemes for general discrete non-smooth dissipative problems in thermomechanics

Reference 4

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This paper cites Contact variational integrators.

Thermodynamical extension of a symplectic numerical scheme with half space and time shift demonstrated on rheological waves in solids Contact variational integrators

Reference 5

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This paper cites Variational discretization of the nonequilibrium thermodynamics of simple systems.

Thermodynamical extension of a symplectic numerical scheme with half space and time shift demonstrated on rheological waves in solids Variational discretization of the nonequilibrium thermodynamics of simple systems

Reference 6

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Observation 4a12d1b4-daf0-4c89-b688-af97cad02ec0 · outbound

This paper cites Variational discretization of thermodynamical simple systems on Lie groups.

Thermodynamical extension of a symplectic numerical scheme with half space and time shift demonstrated on rheological waves in solids Variational discretization of thermodynamical simple systems on Lie groups

Reference 7

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This paper cites Algorithms for coupled problems that preserve symmetries and the laws of thermodynamics: Part I: Monolithic integrators and their application to finite strain thermoelasticity.

Thermodynamical extension of a symplectic numerical scheme with half space and time shift demonstrated on rheological waves in solids Algorithms for coupled problems that preserve symmetries and the laws of thermodynamics: Part I: Monolithic integrators and their application to finite strain thermoelasticity

Reference 8

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This paper cites Algorithms for coupled problems that preserve symmetries and the laws of thermodynamics: Part II: fractional step methods.

Thermodynamical extension of a symplectic numerical scheme with half space and time shift demonstrated on rheological waves in solids Algorithms for coupled problems that preserve symmetries and the laws of thermodynamics: Part II: fractional step methods

Reference 9

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This paper cites Internal Variables in Thermoelasticity Springer: Cham, Switzerland, 2017.

Thermodynamical extension of a symplectic numerical scheme with half space and time shift demonstrated on rheological waves in solids Internal Variables in Thermoelasticity Springer: Cham, Switzerland, 2017

Reference 10

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Thermodynamical extension of a symplectic numerical scheme with half space and time shift demonstrated on rheological waves in solids Unresolved cited work

Reference 11

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This paper cites Elastic, thermal expansion, plastic and rheological processes – theory and experiment.

Thermodynamical extension of a symplectic numerical scheme with half space and time shift demonstrated on rheological waves in solids Elastic, thermal expansion, plastic and rheological processes – theory and experiment

Reference 12

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This paper cites Emergence of non-Fourier hierarchies.

Thermodynamical extension of a symplectic numerical scheme with half space and time shift demonstrated on rheological waves in solids Emergence of non-Fourier hierarchies

Reference 13

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Observation cb8e6f9f-b45c-43dc-8236-df3421e0d7e6 · outbound

This paper cites A case study of 3D stress orientation determination in Shikoku Island and Kii Peninsula, Japan.

Thermodynamical extension of a symplectic numerical scheme with half space and time shift demonstrated on rheological waves in solids A case study of 3D stress orientation determination in Shikoku Island and Kii Peninsula, Japan

Reference 14

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Observation fca38b94-ca5b-4a3a-b1d6-07511dc9d8eb · outbound

This paper cites Three-dimensional in situ stress determination by anelastic strain recovery of a rock core.

Thermodynamical extension of a symplectic numerical scheme with half space and time shift demonstrated on rheological waves in solids Three-dimensional in situ stress determination by anelastic strain recovery of a rock core

Reference 15

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Observation 8eb0bedb-2004-47b3-8e2d-331acb115904 · outbound

This paper cites Anelastic strain recovery compliance of rocks and its application to in situ stress measurement.

Thermodynamical extension of a symplectic numerical scheme with half space and time shift demonstrated on rheological waves in solids Anelastic strain recovery compliance of rocks and its application to in situ stress measurement

Reference 16

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Observation f3cc67e8-ba55-4465-be24-c484cdc9aed5 · outbound

This paper cites Analytical solution method for rheological problems of solids.

Thermodynamical extension of a symplectic numerical scheme with half space and time shift demonstrated on rheological waves in solids Analytical solution method for rheological problems of solids

Reference 17

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Observation 4af21252-2af0-4c49-8e11-8edcc3bddc95 · outbound

This paper cites Distinguished rheological models for solids in the framework of a thermodynamical internal variable theory.

Thermodynamical extension of a symplectic numerical scheme with half space and time shift demonstrated on rheological waves in solids Distinguished rheological models for solids in the framework of a thermodynamical internal variable theory

Reference 18

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This paper cites Kinematic quantities of finite elastic and plastic deformation.

Thermodynamical extension of a symplectic numerical scheme with half space and time shift demonstrated on rheological waves in solids Kinematic quantities of finite elastic and plastic deformation

Reference 19

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This paper cites Objective thermomechanics.

Thermodynamical extension of a symplectic numerical scheme with half space and time shift demonstrated on rheological waves in solids Objective thermomechanics

Reference 20

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This paper cites Investigation of relationship between dynamic and static deformation moduli of rocks.

Thermodynamical extension of a symplectic numerical scheme with half space and time shift demonstrated on rheological waves in solids Investigation of relationship between dynamic and static deformation moduli of rocks

Reference 21

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Thermodynamical extension of a symplectic numerical scheme with half space and time shift demonstrated on rheological waves in solids Unresolved cited work

Reference 22

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Observation ad8f9a43-f1f5-462e-b37a-327e26884b57 · outbound

This paper cites Numerical integration of the barotropic vorticity equation.

Thermodynamical extension of a symplectic numerical scheme with half space and time shift demonstrated on rheological waves in solids Numerical integration of the barotropic vorticity equation

Reference 23

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This paper cites An Introduction to Difference Equations, 3rd ed.; Springer, New York, USA, 2005.

Thermodynamical extension of a symplectic numerical scheme with half space and time shift demonstrated on rheological waves in solids An Introduction to Difference Equations, 3rd ed.; Springer, New York, USA, 2005

Reference 24

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Thermodynamical extension of a symplectic numerical scheme with half space and time shift demonstrated on rheological waves in solids Unresolved cited work

Reference 25

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This paper cites Von Neumann stability analysis of globally divergence-free RKDG schemes for the induction equation using multidimensional Riemann solvers.

Thermodynamical extension of a symplectic numerical scheme with half space and time shift demonstrated on rheological waves in solids Von Neumann stability analysis of globally divergence-free RKDG schemes for the induction equation using multidimensional Riemann solvers

Reference 26

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Observation 3bb1fe7f-ad64-4695-9f95-4c6c68bb4b60 · outbound

This paper cites Inners and Stability of Dynamical Systems , John Wiley & Sons: New York, USA, 1974.

Thermodynamical extension of a symplectic numerical scheme with half space and time shift demonstrated on rheological waves in solids Inners and Stability of Dynamical Systems , John Wiley & Sons: New York, USA, 1974

Reference 27

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Observation f703e7ab-e09e-4f96-8b84-297cbb60089e · outbound

This paper cites an unresolved cited work.

Thermodynamical extension of a symplectic numerical scheme with half space and time shift demonstrated on rheological waves in solids Unresolved cited work

Reference 28

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