Concepedia

Estimates of the hyperbolization effect on the heat equation

E. E. Myshetskaya

Computational Mathematics and Mathematical Physics · 2015 · 23 citations · 6 references

DOI

Concepts

Abstract

The difference between the solutions of the heat equation and its hyperbolized version is estimated. The estimates are obtained in the L 2 norm for the anisotropic heat equation and in the C norm for the one-dimensional case with constant coefficients.

References

6

Equations of Mathematical Physics

A. A. Samarskiĭ, Peter B. Kahn · American Journal of Physics · 1965 · 1.6K citations

, , +8

Resolution limits of continuous media mode and their mathematical formulations

Mathematical Models and Computer Simulations · 2013 · 62 citations

, , +7

Explicit schemes and numerical simulation using ultrahigh-performance computer systems

A. V. Gulin · Doklady Mathematics · 2012 · 41 citations

, , +13

Simulating flows of incompressible and weakly compressible fluids on multicore hybrid computer systems

Alexander A. Davydov, E. V. Shil’nikov · Computational Mathematics and Mathematical Physics · 2010 · 32 citations

, , +14

Estimates of the difference between approximate solutions of the cauchy problems for the parabolic diffusion equation and a hyperbolic equation with a small parameter

S. I. Repin · Doklady Mathematics · 2013 · 22 citations

, , +13