The ordinary differential equations and automatic differentiation unified

DOI10.1080/17476930902998852zbMath1178.34118OpenAlexW1992240697MaRDI QIDQ3396432

Alexander M. Gofen

Publication date: 18 September 2009

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930902998852

zbMATH Keywords

ordinary differential equationautomatic differentiationanalytical continuationremovable singularities

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34) Numerical differentiation (65D25) Ordinary differential equations in the complex domain (34M99) Analytic continuation of functions of one complex variable (30B40)

Related Items (1)

Generalized elementary functions

Uses Software

• Taylor center

Cites Work

• Functions not satisfying implicit, polynomial ODE
• Fast taylor-series expansion and the solution of the cauchy problem
• Unremovable ‘removable’ singularities†
• Universal formats for nonlinear ordinary differential systems
• The multivariate Faà di Bruno formula and multivariate Taylor expansions with explicit integral remainder term

This page was built for publication: The ordinary differential equations and automatic differentiation unified