A Note on Trapezoidal Methods for the Solution of Initial Value Problems

DOI10.2307/2004838zbMath0233.65040OpenAlexW4233121796MaRDI QIDQ5641980

A. R. Gourlay

Publication date: 1971

Full work available at URL: https://doi.org/10.2307/2004838

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical investigation of stability of solutions to ordinary differential equations (65L07)

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Cites Work

• General multistep finite difference methods for the solution of \(u_{xy} = f(x,y,u,u_ x,u_ y)\)
• A Runge-Kutta Method for the Numerical Solution of the Goursat Problem in Hyperbolic Partial Differential Equations
• Cubature method for the numerical solution of the characteristic initial value problem
• A special stability problem for linear multistep methods