Application of interval Newton's method to chemical engineering problems

DOI10.1007/BF02385253zbMath0838.65058MaRDI QIDQ1904303

Gopalan V. Balaji, J. D. Seader

Publication date: 3 June 1996

Published in: Reliable Computing (Search for Journal in Brave)

zbMATH Keywords

interval arithmeticpolynomial equationstest problemsinterval methodreal rootschemical engineeringlocal Newton's method

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Classical flows, reactions, etc. in chemistry (92E20) Interval and finite arithmetic (65G30) Chemical kinetics in thermodynamics and heat transfer (80A30)

Related Items (18)

Secant-like methods for solving nonlinear models with applications to chemistry ⋮ Extending the domain of starting points for Newton's method under conditions on the second derivative ⋮ Local convergence and a chemical application of derivative free root finding methods with one parameter based on interpolation ⋮ An efficient class of optimal sixteenth-order root-finding methods and their basins of attraction ⋮ On general families of multipoint iterations by inverse interpolation and their applications ⋮ An optimal reconstruction of Chebyshev-Halley type methods for nonlinear equations having multiple zeros ⋮ Solution of a transcendental eigenvalue problem via interval analysis ⋮ Some novel and optimal families of King's method with eighth and sixteenth-order of convergence ⋮ New improved convergence analysis for Newton-like methods with applications ⋮ Some novel sixth-order iteration schemes for computing zeros of nonlinear scalar equations and their applications in engineering ⋮ Local convergence balls for nonlinear problems with multiplicity and their extension to eighth-order convergence ⋮ Efficacy of optimal methods for nonlinear equations with chemical engineering applications ⋮ Local convergence of parameter based method with six and eighth order of convergence ⋮ A general class of optimal eighth-order derivative free methods for nonlinear equations ⋮ Some real-life applications of a newly constructed derivative free iterative scheme ⋮ Bounding the zeros of an interval equation ⋮ Some higher-order iteration functions for solving nonlinear models ⋮ New iterative methods for solving nonlinear problems with one and several unknowns

Uses Software

• INTBIS
• INTLIB

Cites Work

• Abstract Generalized Bisection and a Cost Bound
• A globally convergent interval method for computing and bounding real roots
• Algorithm 681: INTBIS, a portable interval Newton/bisection package
• Unnamed Item
• Unnamed Item
• Unnamed Item

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