Results 41 to 50 of about 300,170 (232)
The Newton-Raphson method and adaptive ODE solvers [PDF]
, 2011 The Newton–Raphson method for solving nonlinear equations f(x) = 0 in ℝn is discussed within the context of ordinary differential equations. This framework makes it possible to reformulate the scheme by means of an adaptive step size control procedure ...
THOMAS P. WIHLER +3 more
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A Computer Model for the Hydraulic Analysis of Open Channel Cross Sections
Journal of Agricultural and Marine Sciences, 1996 Irrigation and hydraulic engineers are often faced with the difficulty of tedious trial solutions of the Manning equation to determine the various geometric elements of open channels.
W. H. Shayya, R. H. Mohtar, M. S Baasiri
doaj +1 more source
A Phase‐Field Model for Quasi‐Dynamic Rupture Nucleation and Propagation of In‐Plane Faults
International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT Computational modeling of faulting processes is an essential tool for understanding earthquake mechanics but remains challenging due to the structural and material complexities of fault zones. The phase‐field method has recently enabled unified modeling of fault propagation and off‐fault damage within a fracture‐mechanics‐based framework ...
Fan Fei +3 more
wiley +1 more source
Polymer Engineering &Science, EarlyView.High‐order thermodynamically consistent pressure–volume modeling improves numerical stability and prediction accuracy in stretch and extrusion blow molding simulations. The proposed formulation captures transient pressure evolution and enables reliable thickness prediction with good agreement against experimental measurements.
Z. Benrabah +3 more
wiley +1 more source
Improved Newton-Raphson Methods for Solving Nonlinear Equations [PDF]
, 2017 In this paper, we mainly study the numerical algorithms for simple root of nonlinear equations based on Newton-Raphson method. Two modified Newton-Raphson methods for solving nonlinear equations are suggested.
Pang, Lin, Fang, Liang
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Quality and Reliability Engineering International, EarlyView.ABSTRACT Understanding and modeling the equipment failure behavior is crucial for reducing downtime, optimizing maintenance strategies, and improving operational safety. This challenge becomes particularly critical in industrial contexts involving multi‐asset portfolios, where heterogeneous conditions influence the reliability of individual assets and,
Zeynab Allahkarami +4 more
wiley +1 more source
MATEC Web of Conferences, 2016 This paper describes a single precision floating point division based on Newton-Raphson computational division algorithm. The Newton-Raphson computational algorithm is implemented using 32-bit floating point multi-plier and subtractor.
Singh Naginder, Sasamal Trailokya Nath
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International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper establishes an implementation‐aware framework for Barrier Function Adaptation (BFA) and shows that discrete‐time realizations fundamentally alter the logic of final‐set adjustment. In particular, sufficient conditions are derived to preserve the key benefits of BFA (predefined performance, gain adaptation with uncertain perturbation
Luis Ovalle +3 more
wiley +1 more source
Franklin OpenIn the real world, we are faced with many problems that cannot be easily described by crisp values, as there is always some uncertainty involved in real-life situations and in those situations, we end up receiving fuzzy values rather than crisp ones in ...
Sanjoy Basu, G.S. Mahapatra
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Mathematics, 2022 A process for solving an algebraic equation was presented by Newton in 1669 and later by Raphson in 1690. This technique is called Newton’s method or Newton–Raphson method and is even today a popular technique for solving nonlinear equations in abstract ...
Ioannis K. Argyros +3 more
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