Estimation of the distance between true and numerical solutions

DOI10.1134/S0965542519060034zbMath1425.76171OpenAlexW2954579402WikidataQ127562265 ScholiaQ127562265MaRDI QIDQ2337140

A. E. Bondarev, A. K. Alekseev

Publication date: 19 November 2019

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542519060034

zbMATH Keywords

Euler equationstriangle inequalitycomputational errorensemble of numerical solutions

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for boundary value problems involving PDEs (65N06) Euler equations (35Q31)

Related Items (3)

On a posteriori error estimation using distances between numerical solutions and angles between truncation errors ⋮ О сравнении решений в задачах верификации ⋮ The estimation of approximation error using inverse problem and a set of numerical solutions

Cites Work

• Higher-order-accurate upwind schemes for solving the compressible Euler and Navier--Stokes equations
• A posteriori estimates for partial differential equations
• High resolution finite volume scheme for the quantum hydrodynamic equations
• An artificially upstream flux vector splitting scheme for the Euler equations.
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• On the solution of nonlinear hyperbolic differential equations by finite differences
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