Initial Value Problems for ODEs: One-Step Methods

Walter Gautschi ()
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Walter Gautschi: Purdue University, Department of Computer Sciences

Chapter Chapter 5 in Numerical Analysis, 2012, pp 325-398 from Springer

Abstract: Abstract Initial value problems for ordinary differential equations (ODEs) occur in almost all the sciences, notably in mechanics (including celestial mechanics), where the motion of particles (resp., planets) is governed by Newton’s second law – a system of second-order differential equations.

Keywords: Kutta Method; Truncation Error; Lipschitz Condition; Grid Function; Global Error (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-0-8176-8259-0_5

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