研究论文
An Improved Difference Scheme for the Cauchy Problem in the Case of a Transport Equation
Gregorii I. Shishkin, L. P. Shishkina
Russian Academy of Sciences N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences
来源Computational Mathematics and Mathematical Physics
年份2023
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摘要与影响
摘要 · 完整
The Cauchy problem for the regular transport equation is considered. The Richardson technique is used to construct an improved difference scheme that converges in the maximum norm with the second order of convergence.
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学术脉络
学科主题
计算机 / AIDifferential Equations and Numerical Methods
Computational Fluid Dynamics and Aerodynamics · Differential Equations and Boundary Problems
参考文献 5
The Theory of Difference Schemes
被引 2,516ALEXANDER A. SAMARSKII, Vicenţiu D. Rădulescu · Applied Mechanics Reviews · 2001
Difference Methods for Singular Perturbation Problems
被引 152Grigory I. Shishkin, L. P. Shishkina · Chapman & Hall/CRC eBooks · 2008
Difference scheme for an initial–boundary value problem for a singularly perturbed transport equation
被引 10Gregorii I. Shishkin · Computational Mathematics and Mathematical Physics · 2017
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引用本文 1
Richardson’s Third-Order Difference Scheme for the Cauchy Problem in the Case of Transport Equation
被引 0Gregorii I. Shishkin, L. P. Shishkina · Computational Mathematics and Mathematical Physics · 2024
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