Numerical methods for ordinary differential equations in the 20th century

2000/12/01 by J. C. Butcher, J.C. Butcher · 2 citations
Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Applied mathematics #Backward differentiation formula #Calculus (dental) #Collocation method #Computer science #Differential algebraic equation #Differential equation #Electromagnetic Simulation and Numerical Methods #Exact differential equation #Explicit and implicit methods #Exponential integrator #Initial value problem #Linear multistep method #Mathematical analysis #Mathematics #Numerical analysis #Numerical methods for differential equations #Numerical methods for ordinary differential equations #Ordinary differential equation #Runge–Kutta methods #Subject (documents)

paper · pdf · doi:10.1016/s0377-0427(00)00455-6

crossref issued 2000/12/01 · crossref published 2000/12/01 · crossref published-print 2000/12/01 · openalex publication_date 2000/12/01 · crossref created 2002/07/25 · crossref deposited 2024/01/01 · openalex created_date 2025/10/10 · crossref indexed 2026/07/31 · openalex updated_date 2026/08/01

Citations

• A special stability problem for linear multistep methods
• A stability property of implicit Runge-Kutta methods
• Ueber die numerische Aufl�sung von Differentialgleichungen
• A process for the step-by-step integration of differential equations in an automatic digital computing machine
• Numerical treatment of ordinary differential equations by extrapolation methods
• Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
• Some general implicit processes for the numerical solution of differential equations
• Coefficients for the study of Runge-Kutta integration processes

Cited by

• Learn Like The Pro: Norms from Theory to Size Neural Computation
• Runge–Kutta methods [wikipedia]