Paper Citation Record · LEDGER

Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics

As of 17 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2511.13837.

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pith.paper-citation-record.v1
2511.13837 v2

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Outbound references

Observation 385d2875-5fb6-4f03-b68b-dd9c92915516 · outbound

This paper cites We then set to zero the determinant of the characteristic matrix Aaqa.

Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics We then set to zero the determinant of the characteristic matrix Aaqa

Reference 1

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Observation 21b94a62-8b33-4ed4-89e5-42eeb2f099b9 · outbound

This paper cites tangential.

Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics tangential

Reference 2

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Observation 9e4d8329-8848-4209-bb68-3d23d2399ee8 · outbound

This paper cites TakeLto be of the form L= Lb Yb L7 L8 ,(2.39) with Lb and Yb orthogonal to ub.

Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics TakeLto be of the form L= Lb Yb L7 L8 ,(2.39) with Lb and Yb orthogonal to ub

Reference 3

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Observation b5cc6f6c-9552-4caa-8c44-9a1242ce6859 · outbound

This paper cites an unresolved cited work.

Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics Unresolved cited work

Reference 4

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Observation 547b40b1-5029-4cac-bcb7-5caf8044f195 · outbound

This paper cites (2.27) becomes qa =yn a +s a,(2.69) where sa is a unit spatial vector in the direction of the de- composition.

Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics (2.27) becomes qa =yn a +s a,(2.69) where sa is a unit spatial vector in the direction of the de- composition

Reference 5

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Observation 012356c4-6aec-4aaa-8926-007d966e30b9 · outbound

This paper cites The expressions of the eigenvectors have been obtained after tedious algebraic manipulations.

Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics The expressions of the eigenvectors have been obtained after tedious algebraic manipulations

Reference 6

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Observation 9086a44c-e274-42dc-a67c-2f606d376832 · outbound

This paper cites The reason is that the transformation is not invertible, but only quasi-invertible.

Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics The reason is that the transformation is not invertible, but only quasi-invertible

Reference 7

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Observation 4558c4ef-c61c-4527-8f35-0ab4afee4661 · outbound

This paper cites Valencia.

Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics Valencia

Reference 8

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Observation 0b79e1e9-d70f-493d-b734-61ffc1dde86b · outbound

This paper cites Take X to be of the form (2.31) with an extra component X9 at the end.

Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics Take X to be of the form (2.31) with an extra component X9 at the end

Reference 9

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Observation 1a46f335-6af1-4fb6-a28a-5d68cde9ff78 · outbound

This paper cites There is an additional scalar L9 in the equation corresponding to (2.39).

Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics There is an additional scalar L9 in the equation corresponding to (2.39)

Reference 10

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Observation 02f7356a-fca4-4852-a55c-9d99153e2523 · outbound

This paper cites This matrix acts on the vector part of each eigenvector.

Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics This matrix acts on the vector part of each eigenvector

Reference 11

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Observation 975b2e31-3317-4551-8d9d-c576d9f1e541 · outbound

This paper cites First, expand (2.84) to a 5 × 5 matrix by padding it with zeros.

Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics First, expand (2.84) to a 5 × 5 matrix by padding it with zeros

Reference 12

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Observation d7d78d7f-b0ba-49da-bbd5-8ea47f1bcf2c · outbound

This paper cites Since the transformation matrix (3.5) is the same, the eigenvectors for the conserved variables are the same as in Eq.

Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics Since the transformation matrix (3.5) is the same, the eigenvectors for the conserved variables are the same as in Eq

Reference 13

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Observation f241cbe5-618f-459e-9eaf-7222e33f2407 · outbound

This paper cites Thus, the inverse transformation matrix derived in§III C simply gets an extra row and column of zeros, with a 1 in the lower- right corner.

Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics Thus, the inverse transformation matrix derived in§III C simply gets an extra row and column of zeros, with a 1 in the lower- right corner

Reference 14

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Observation 9d79d729-5df1-49d3-86d6-8fe1da2357f5 · outbound

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Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics Unresolved cited work

Reference 15

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Observation 2d50e3d3-9384-4964-a727-06c115c33912 · outbound

This paper cites dual frames.

Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics dual frames

Reference 16

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Observation b089d7c6-0852-4294-b7d9-053f6dc1b034 · outbound

This paper cites Now it is easy to show that.

Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics Now it is easy to show that

Reference 17

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Observation 223c0f7f-5237-4817-b51c-1c722b062c22 · outbound

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Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics Unresolved cited work

Reference 18

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Observation fd85cbc8-3fb0-4e0c-b2a6-e5ba0c80ce1d · outbound

This paper cites Bruhat, Etude des equations des fluides charg´ es rela- tivistes inductifs et conducteurs, Comm.

Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics Bruhat, Etude des equations des fluides charg´ es rela- tivistes inductifs et conducteurs, Comm

Reference 19

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Observation f47c984c-164f-4fe5-bfb8-c957cbad4175 · outbound

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Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics Unresolved cited work

Reference 20

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Observation de8712c9-3a47-4d6a-82c6-cd8a0c6f9b4f · outbound

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Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics Unresolved cited work

Reference 21

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Observation 7a960a47-952f-4d22-9199-d1fd2976af33 · outbound

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Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics Unresolved cited work

Reference 22

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Observation 70fb8ad6-25db-44ef-b7e1-979c00351d40 · outbound

This paper cites Revisiting Hyperbolicity of Relativistic Fluids.

Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics Revisiting Hyperbolicity of Relativistic Fluids

Reference 23

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Observation 2be1e36f-e6e2-49ec-986b-d236831e9a43 · outbound

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Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics Unresolved cited work

Reference 24

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Observation abd93eac-cc09-47ff-b177-5aaf8b3368b2 · outbound

This paper cites GRHydro: A new open source general-relativistic magnetohydrodynamics code for the Einstein Toolkit.

Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics GRHydro: A new open source general-relativistic magnetohydrodynamics code for the Einstein Toolkit

Reference 25

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Observation b81a778f-6871-4aea-a552-5bdd08f3ae80 · outbound

This paper cites Evolutions of Magnetized and Rotating Neutron Stars.

Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics Evolutions of Magnetized and Rotating Neutron Stars

Reference 26

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Observation 61038237-3533-46b0-80b4-ce5265c734d9 · outbound

This paper cites General Relativistic Magnetohydrodynamic Bondi--Hoyle Accretion.

Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics General Relativistic Magnetohydrodynamic Bondi--Hoyle Accretion

Reference 27

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Observation 0d539de1-2cda-43a1-8957-7097bc0ba742 · outbound

This paper cites Hilditch and A.

Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics Hilditch and A

Reference 28

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Observation b15aa537-b1ff-4d50-9504-9f3d28f8bf79 · outbound

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Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics Unresolved cited work

Reference 29

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Observation 1c8b6b24-6e4a-4204-852b-eab0f0908bcc · outbound

This paper cites Relativistic Magnetohydrodynamics: Renormalized eigenvectors and full wave decomposition Riemann solver.

Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics Relativistic Magnetohydrodynamics: Renormalized eigenvectors and full wave decomposition Riemann solver

Reference 30

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Observation 853b4eb4-8cd0-4e8a-9e71-bbf8a78b2130 · outbound

This paper cites On the convexity of Relativistic Ideal Magnetohydrodynamics.

Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics On the convexity of Relativistic Ideal Magnetohydrodynamics

Reference 31

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Observation cb045689-7c9f-428c-a587-39aa5434538d · outbound

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Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics Unresolved cited work

Reference 32

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Observation 7354b1db-1b69-449a-b1f4-7e2410c0e49f · outbound

This paper cites Ant´ on,Magnetohidrodin´ amica relativista num´ erica: Aplicaciones en relatividad especial y general, Ph.D.

Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics Ant´ on,Magnetohidrodin´ amica relativista num´ erica: Aplicaciones en relatividad especial y general, Ph.D

Reference 33

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Observation ae0b76ce-2e67-4c90-aae4-947a420cf2a8 · outbound

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Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics Unresolved cited work

Reference 34

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Observation 3d661a65-4deb-4c25-8a4f-66db920b0ea9 · outbound

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Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics Unresolved cited work

Reference 35

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Observation 50ab25a0-1c33-46e9-8689-f328781b7ed8 · outbound

This paper cites T´ oth, The ∇·B=0 constraint in shock-capturing magnetohydrodynamics codes, J.

Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics T´ oth, The ∇·B=0 constraint in shock-capturing magnetohydrodynamics codes, J

Reference 36

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Observation 36e9262c-309a-469e-b5c2-7f840851407e · outbound

This paper cites Deppe, W.

Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics Deppe, W

Reference 37

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Observation f327f696-1bc4-419a-a9ec-3e7eddae4200 · outbound

This paper cites Donat and A.

Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics Donat and A

Reference 38

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Observation fb18c2b4-a275-48dd-828a-c7984c88fb71 · outbound

This paper cites GENESIS: A high-resolution code for 3D relativistic hydrodynamics.

Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics GENESIS: A high-resolution code for 3D relativistic hydrodynamics

Reference 39

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Observation b05de048-a710-4191-87dd-ad0fa799861d · outbound

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Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics Unresolved cited work

Reference 40

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Observation 6d48b6cd-9a5a-4dfe-a102-4299777f9b3b · outbound

This paper cites Dual Foliation Formulations of General Relativity.

Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics Dual Foliation Formulations of General Relativity

Reference 41

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Observation 796d93b1-f416-4a45-8a95-7eccdb162627 · outbound

This paper cites Solving Einstein's Equations With Dual Coordinate Frames.

Characteristic Decomposition for Relativistic Numerical Simulations: II. Magnetohydrodynamics Solving Einstein's Equations With Dual Coordinate Frames

Reference 42

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