Paper Citation Record · LEDGER

Lyapunov Stability and Optimal Error Estimates for an SIPG Method for Weakly Damped Semilinear Wave Equations

As of 12 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2606.13185.

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pith.paper-citation-record.v1
2606.13185 v1

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measured 28 of 28 reference resolution

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Outbound references

Observation 50a68084-c01c-4454-a50a-ae26488ffb7e · outbound

This paper cites Solitary wave collisions.SIAM Journal on Applied Mathematics, 36(3):428–437, 1979.

Lyapunov Stability and Optimal Error Estimates for an SIPG Method for Weakly Damped Semilinear Wave Equations Solitary wave collisions.SIAM Journal on Applied Mathematics, 36(3):428–437, 1979

Reference 1

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Observation e15ea258-05d1-4cc6-8793-b515aa7b7bb2 · outbound

This paper cites Conservative primal hybrid finite element method for weakly damped klein-gordon equation.Computers & Mathematics with Applications, 186:16–36, 2025.

Lyapunov Stability and Optimal Error Estimates for an SIPG Method for Weakly Damped Semilinear Wave Equations Conservative primal hybrid finite element method for weakly damped klein-gordon equation.Computers & Mathematics with Applications, 186:16–36, 2025

Reference 2

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Observation 782a07bc-c6ad-4826-b260-3dc78b580d98 · outbound

This paper cites An efficient numerical simulation of the two-dimensional semilinear wave equation.

Lyapunov Stability and Optimal Error Estimates for an SIPG Method for Weakly Damped Semilinear Wave Equations An efficient numerical simulation of the two-dimensional semilinear wave equation

Reference 3

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Observation 2f9c4e22-6789-4640-9545-5255c37588cf · outbound

This paper cites Virtual element method for semilinear sine–gordon equa- tion over polygonal mesh using product approximation technique.Mathematics and Computers in Simulation, 172:224–243, 2020.

Lyapunov Stability and Optimal Error Estimates for an SIPG Method for Weakly Damped Semilinear Wave Equations Virtual element method for semilinear sine–gordon equa- tion over polygonal mesh using product approximation technique.Mathematics and Computers in Simulation, 172:224–243, 2020

Reference 4

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Observation 8ec249d9-83b6-4185-a56d-0d7c2ed4cdb6 · outbound

This paper cites Symmetric stabilized FEM for time-fractional convection-diffusion-reaction equations.Math.

Lyapunov Stability and Optimal Error Estimates for an SIPG Method for Weakly Damped Semilinear Wave Equations Symmetric stabilized FEM for time-fractional convection-diffusion-reaction equations.Math

Reference 5

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Observation a0f5af05-44e1-4ce8-bee2-fdd72873dab2 · outbound

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Lyapunov Stability and Optimal Error Estimates for an SIPG Method for Weakly Damped Semilinear Wave Equations Unresolved cited work

Reference 6

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Observation 7a3cb0df-f79d-4d16-960f-6c1d67ba5ab2 · outbound

This paper cites A damped hyerbolic equation with critical exponent.Communications in partial differential equations, 17(5-6):841–866, 1992.

Lyapunov Stability and Optimal Error Estimates for an SIPG Method for Weakly Damped Semilinear Wave Equations A damped hyerbolic equation with critical exponent.Communications in partial differential equations, 17(5-6):841–866, 1992

Reference 7

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Observation a8b93eb0-8b46-4129-909f-ffb846dc27b2 · outbound

This paper cites Global attractors for damped semilinear wave equations.Discrete and Continuous Dy- namical Systems, 10(1/2):31–52, 2004.

Lyapunov Stability and Optimal Error Estimates for an SIPG Method for Weakly Damped Semilinear Wave Equations Global attractors for damped semilinear wave equations.Discrete and Continuous Dy- namical Systems, 10(1/2):31–52, 2004

Reference 8

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Observation 50557ede-d272-472d-8d43-7935501e3d55 · outbound

This paper cites Analysis and comparison of numerical methods for the klein–gordon equation in the nonrelativistic limit regime.Numerische Mathematik, 120(2):189–229, 2012.

Lyapunov Stability and Optimal Error Estimates for an SIPG Method for Weakly Damped Semilinear Wave Equations Analysis and comparison of numerical methods for the klein–gordon equation in the nonrelativistic limit regime.Numerische Mathematik, 120(2):189–229, 2012

Reference 9

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Observation 774f9cfb-5475-49b0-a859-f0efdaac1a7f · outbound

This paper cites Springer Science & Business Media, 2011.

Lyapunov Stability and Optimal Error Estimates for an SIPG Method for Weakly Damped Semilinear Wave Equations Springer Science & Business Media, 2011

Reference 10

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Observation 88168e75-e801-4b6e-9169-8fd417f8b5ad · outbound

This paper cites Split local absorbing conditions for one-dimensional nonlinear klein- gordon equation on unbounded domain.Journal of Computational Physics, 227(20):8992–9004, 2008.

Lyapunov Stability and Optimal Error Estimates for an SIPG Method for Weakly Damped Semilinear Wave Equations Split local absorbing conditions for one-dimensional nonlinear klein- gordon equation on unbounded domain.Journal of Computational Physics, 227(20):8992–9004, 2008

Reference 11

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Observation 5bc91de8-ba73-4400-9f9f-53e6934e09b4 · outbound

This paper cites Energy-preserving finite element methods for a class of nonlinear wave equations.Applied Numerical Mathematics, 157:446–469, 2020.

Lyapunov Stability and Optimal Error Estimates for an SIPG Method for Weakly Damped Semilinear Wave Equations Energy-preserving finite element methods for a class of nonlinear wave equations.Applied Numerical Mathematics, 157:446–469, 2020

Reference 12

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Observation 89d0334e-d67a-4266-a6b6-24efbc610d22 · outbound

This paper cites Weak galerkin finite element methods for semilinear klein–gordon equation on polygonal meshes.Computational & Applied Mathematics, 43(4), 2024.

Lyapunov Stability and Optimal Error Estimates for an SIPG Method for Weakly Damped Semilinear Wave Equations Weak galerkin finite element methods for semilinear klein–gordon equation on polygonal meshes.Computational & Applied Mathematics, 43(4), 2024

Reference 13

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Observation 6434e0f2-fc8b-4342-9cff-5422b2bc3ac8 · outbound

This paper cites A residual based a posteriori error estimators for AFC schemes for convection-diffusion equations.Comput.

Lyapunov Stability and Optimal Error Estimates for an SIPG Method for Weakly Damped Semilinear Wave Equations A residual based a posteriori error estimators for AFC schemes for convection-diffusion equations.Comput

Reference 14

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Observation 9b0a55d8-b097-4b62-8aff-e8afc1ff2383 · outbound

This paper cites Residual-based a posteriori error estimators for algebraic stabilizations.Appl.

Lyapunov Stability and Optimal Error Estimates for an SIPG Method for Weakly Damped Semilinear Wave Equations Residual-based a posteriori error estimators for algebraic stabilizations.Appl

Reference 15

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Observation 01791da1-8db7-4de4-8d2a-f7dc27e00b36 · outbound

This paper cites An assessment of solvers for algebraically stabilized discretizations of convection-diffusion-reaction equations.J.

Lyapunov Stability and Optimal Error Estimates for an SIPG Method for Weakly Damped Semilinear Wave Equations An assessment of solvers for algebraically stabilized discretizations of convection-diffusion-reaction equations.J

Reference 16

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Observation e8eb6fe2-3414-46b5-8f45-3bcb8952d122 · outbound

This paper cites Galerkin finite element methods for nonlinear klein-gordon equations.Math.

Lyapunov Stability and Optimal Error Estimates for an SIPG Method for Weakly Damped Semilinear Wave Equations Galerkin finite element methods for nonlinear klein-gordon equations.Math

Reference 17

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Observation ec3fc1e7-0527-4944-9e34-fbde1d310e94 · outbound

This paper cites Well-balanced convex limiting for finite element dis- cretizations of steady convection-diffusion-reaction equations.J.

Lyapunov Stability and Optimal Error Estimates for an SIPG Method for Weakly Damped Semilinear Wave Equations Well-balanced convex limiting for finite element dis- cretizations of steady convection-diffusion-reaction equations.J

Reference 18

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Observation 1b13afb5-1517-4e7f-9b82-aa7a9bce5441 · outbound

This paper cites Error estimates with polynomial growth o (ε-.

Lyapunov Stability and Optimal Error Estimates for an SIPG Method for Weakly Damped Semilinear Wave Equations Error estimates with polynomial growth o (ε-

Reference 19

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Observation 5ddf5cbe-7e95-4503-8e8a-9790921787c1 · outbound

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Lyapunov Stability and Optimal Error Estimates for an SIPG Method for Weakly Damped Semilinear Wave Equations Unresolved cited work

Reference 20

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Observation 902007b5-019a-49f4-af33-543ad6f07298 · outbound

This paper cites New solitary wave solitons, analysis and simulations of the fitzhugh–nagumo model.Mathematics and Computers in Simulation, 2026.

Lyapunov Stability and Optimal Error Estimates for an SIPG Method for Weakly Damped Semilinear Wave Equations New solitary wave solitons, analysis and simulations of the fitzhugh–nagumo model.Mathematics and Computers in Simulation, 2026

Reference 21

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Observation 95d8efa6-5f18-4e28-bdfb-17fb13f435b5 · outbound

This paper cites Numerical investigation of an explicit weak galerkin scheme for a class of weakly damped semi-linear wave equations.Computers & Mathematics with Applications, 212:290–315, 2026.

Lyapunov Stability and Optimal Error Estimates for an SIPG Method for Weakly Damped Semilinear Wave Equations Numerical investigation of an explicit weak galerkin scheme for a class of weakly damped semi-linear wave equations.Computers & Mathematics with Applications, 212:290–315, 2026

Reference 22

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Observation 57c5d989-2474-4b0e-8c30-3cce7a11d15b · outbound

This paper cites Virtual element methods for weakly damped wave equations on polygonal meshes.Computational and Applied Mathematics, 42(3):137, 2023.

Lyapunov Stability and Optimal Error Estimates for an SIPG Method for Weakly Damped Semilinear Wave Equations Virtual element methods for weakly damped wave equations on polygonal meshes.Computational and Applied Mathematics, 42(3):137, 2023

Reference 23

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Observation 3df81287-287b-4fa8-9000-99e642eb6d5f · outbound

This paper cites Numerical analysis for a locally damped wave equation.J.

Lyapunov Stability and Optimal Error Estimates for an SIPG Method for Weakly Damped Semilinear Wave Equations Numerical analysis for a locally damped wave equation.J

Reference 24

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Observation c0663036-470c-4bab-810c-2be36b420d60 · outbound

This paper cites Nonconforming quadrilateral finite element method for a class of nonlinear sine–gordon equations.Applied Mathematics and Computation, 219(17):9447–9460, 2013.

Lyapunov Stability and Optimal Error Estimates for an SIPG Method for Weakly Damped Semilinear Wave Equations Nonconforming quadrilateral finite element method for a class of nonlinear sine–gordon equations.Applied Mathematics and Computation, 219(17):9447–9460, 2013

Reference 25

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Observation 0cc5e6c6-cf86-4834-aca1-b89e37e6258e · outbound

This paper cites A high order numerical method for analysis and simulation of 2d semilinear sobolev model on polygonal meshes.Mathematics and Computers in Simulation, 227:241–262, 2025.

Lyapunov Stability and Optimal Error Estimates for an SIPG Method for Weakly Damped Semilinear Wave Equations A high order numerical method for analysis and simulation of 2d semilinear sobolev model on polygonal meshes.Mathematics and Computers in Simulation, 227:241–262, 2025

Reference 26

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Observation c663ca4b-3602-4ea9-b117-10f6969bae0f · outbound

This paper cites Rigorous HHO Optimal Error Estimates and Simulation of FitzHugh- Nagumo Model.Journal of Scientific Computing, 105(3):89, 2025.

Lyapunov Stability and Optimal Error Estimates for an SIPG Method for Weakly Damped Semilinear Wave Equations Rigorous HHO Optimal Error Estimates and Simulation of FitzHugh- Nagumo Model.Journal of Scientific Computing, 105(3):89, 2025

Reference 27

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Observation bd0ddcd1-a752-407e-82b6-b081a8f38392 · outbound

This paper cites A Priori Error Estimates based on Lyapunov for the FitzHugh-Nagumo Model via Interior Penalty Discontinuous Galerkin method.Applied Numerical Mathematics, 2026.

Lyapunov Stability and Optimal Error Estimates for an SIPG Method for Weakly Damped Semilinear Wave Equations A Priori Error Estimates based on Lyapunov for the FitzHugh-Nagumo Model via Interior Penalty Discontinuous Galerkin method.Applied Numerical Mathematics, 2026

Reference 28

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