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Application of interval Newton's method to chemical engineering problems

https://doi.org/10.1007/bf02385253
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf01932020openalex-snapshot
A globally convergent interval method for computing and bounding real roots
inferredcites →https://doi.org/10.1016/0009-2509(89)80026-0openalex-snapshot
An improved memory method for the solution of a nonlinear equation
inferredcites →https://doi.org/10.1016/0098-1354(90)87006-bopenalex-snapshot
Mapped continuation methods for computing all solutions to general systems of nonlinear equations
inferredcites →https://doi.org/10.1021/ed027p584.3openalex-snapshot
Introduction to chemical engineering thermodynamics
inferredcites →https://doi.org/10.1090/s0025-5718-1987-0890261-9openalex-snapshot
Abstract Generalized Bisection and a Cost Bound
inferredcites →https://doi.org/10.1137/1.9781611970906openalex-snapshot
Methods and Applications of Interval Analysis
inferredcites →https://doi.org/10.1145/198429.198433openalex-snapshot
Algorithm 737: INTLIB—a portable Fortran 77 interval standard-function library
inferredcites →https://doi.org/10.1145/78928.78931openalex-snapshot
Algorithm 681: INTBIS, a portable interval Newton/bisection package
inferredcites →https://doi.org/10.2307/2008602openalex-snapshot
Solving Polynomial Systems Using Continuation for Engineering and Scientific Problems.

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Local Convergence Results for an Optimal Iterative Method for Multiple Roots
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Towards the future of interval computations
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Local convergence and a chemical application of derivative free root finding methods with one parameter based on interpolation
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New improved convergence analysis for Newton-like methods with applications
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Secant-like methods for solving nonlinear models with applications to chemistry
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Local convergence of parameter based method with six and eighth order of convergence
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An optimal reconstruction of Chebyshev–Halley type methods for nonlinear equations having multiple zeros
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Some engineering applications of newly constructed algorithms for one-dimensional non-linear equations and their fractal behavior
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Global homotopy continuation procedures for seeking all roots of a nonlinear equation
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New interval methodologies for reliable chemical process modeling
inferred← citeshttps://doi.org/10.1016/s0098-1354(02)00006-6openalex-snapshot
Dynamic load balancing for parallel interval-Newton using message passing
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Using sparse bounded homotopies in the SPEEDUP simulation package
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Solution of a transcendental eigenvalue problem via interval analysis
inferred← citeshttps://doi.org/10.1080/27690911.2022.2130914openalex-snapshot
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Novel Iteration Schemes for Computing Zeros of Non-Linear Equations With Engineering Applications and Their Dynamics
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Certifying Zeros of Polynomial Systems Using Interval Arithmetic
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Parallel interval-Newton using message passing
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Local Convergence Balls for Nonlinear Problems with Multiplicity and Their Extension to Eighth‐Order Convergence
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Efficacy of Optimal Methods for Nonlinear Equations with Chemical Engineering Applications
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