Bounds on the Truncation Error by Finite Differences for the Goursat Problem
- 1 January 1964
- journal article
- Published by JSTOR in Mathematics of Computation
- Vol. 18 (85) , 19-35
- https://doi.org/10.2307/2003403
Abstract
References [Enhancements On Off] (What's this?)Keywords
This publication has 13 references indexed in Scilit:
- On the convergence of characteristic finite-difference methods of high accuracy for quasi-linear hyperbolic equationsNumerische Mathematik, 1961
- On the solution of semi-linear hyperbolic systems by unconditionally stable difference methodsCommunications on Pure and Applied Mathematics, 1961
- On the stability of difference approximations to solutions of hyperbolic equations with variable coefficientsCommunications on Pure and Applied Mathematics, 1961
- The Solution of Positive-Symmetric Hyperbolic Systems by Difference MethodsProceedings of the American Mathematical Society, 1961
- A Runge-Kutta procedure for the goursat problem in hyperbolic partial differential equationsArchive for Rational Mechanics and Analysis, 1961
- Energy Inequalities for the Solution of Differential EquationsTransactions of the American Mathematical Society, 1960
- Stability and Convergence for a Numerical Solution of the Goursat ProblemJournal of Mathematics and Physics, 1959
- On the solution of nonlinear hyperbolic differential equations by finite differencesCommunications on Pure and Applied Mathematics, 1952
- ber die partiellen Differenzengleichungen der mathematischen PhysikMathematische Annalen, 1928
- Das Anfangswertproblem einer beliebigen nichtlinearen hyperbolischen Differentialgleichung beliebiger Ordnung in zwei Variablen. Existenz, Eindeutigkeit und Abhängigkeitsbereich der LösungMathematische Annalen, 1928