The construction of difference schemes for hyperbolic equations based on characteristic relations

On the solution of nonlinear hyperbolic differential equations by finite differences

Richard Courant, Eugene Isaacson, Mina Rees · Communications on Pure and Applied Mathematics · 1952 · 1K citations

Natural Sciences, Mathematics, Physics +11

Introduction to the theory of difference schemes

V. V. Zhurin · USSR Computational Mathematics and Mathematical Physics · 1973 · 480 citations

Natural Sciences, Computer Science, Mathematics +11

The numerical solution of hyperbolic systems of partial differential equations in three independent variables

Dagny Butler · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 1960 · 150 citations

Natural Sciences, Physics, Computational Fluid Dynamics +10

Difference Methods for Initial-Value Problems.

Samuel Goldberg, Robert D. Richtmyer · American Mathematical Monthly · 1959 · 48 citations

Natural Sciences, Mathematics, Differential Equations +11

Characteristics of the general equations of gas dynamics

V. V. Rusanov · USSR Computational Mathematics and Mathematical Physics · 1963 · 28 citations

Natural Sciences, Mathematics, Physics +14