Lagrangian approach to deriving energy-preserving numerical schemes for the Euler–Lagrange partial differential equations

DOI10.1051/M2AN/2013080zbMath1284.65109OpenAlexW2057169544MaRDI QIDQ5397524

Takaharu Yaguchi

Publication date: 24 February 2014

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2013080

zbMATH Keywords

finite difference methodHamilton-Jacobi equationconservation lawLagrangian mechanicsdiscrete gradient methodenergy-preserving integrator

Mathematics Subject Classification ID

Hamilton's equations (70H05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Hamilton-Jacobi equations (35F21)

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Application of the variational principle to deriving energy-preserving schemes for the Hamilton equation

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