A Runge-Kutta procedure for the Goursat problem in hyperbolic partial differential equations

DOI10.1007/BF00250749zbMath0097.12004MaRDI QIDQ773386

Robert H. Moore

Publication date: 1961

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

numerical analysis

Related Items (10)

Cubature method for the numerical solution of the characteristic initial value problem ⋮ FD-method for solving the nonlinear Klein-Gordon equation ⋮ Bounds on the Truncation Error by Finite Differences for the Goursat Problem ⋮ A numerical method for solving a Goursat-Cauchy boundary value problem ⋮ Noncentered schemes and shock propagation problems ⋮ General multistep finite difference methods for the solution of \(u_{xy} = f(x,y,u,u_ x,u_ y)\) ⋮ Accurate partial difference methods. II: Non-linear problems ⋮ Explizite Runge-Kutta-Verfahren für partielle hyperbolische Differentialgleichungen ⋮ On the numerical solution of the Goursat problem ⋮ On the convergence of characteristic finite-difference methods of high accuracy for quasi-linear hyperbolic equations

Cites Work

• On an analogue of the Euler-Cauchy polygon method for the numerical solution of \(u_{xy}=f(x, y, u, u_x, u_y)\)
• On approximate solutions of non-linear hyperbolic partial differential equations

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