A continuation method for spatially discretized models with nonlocal interactions conserving size and shape of cells and lattices
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Biology"
DOI: 10.1007/s00285-020-01534-6
Abstract: In this paper, we introduce a continuation method for the spatially discretized models, while conserving the size and shape of the cells and lattices. This proposed method is realized using the shift operators and nonlocal… read more here.
Keywords: spatially discretized; shape; continuation method; method ... See more keywords
Second derivative free sixth order continuation method for solving nonlinear equations with applications
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Chemistry"
DOI: 10.1007/s10910-018-0868-7
Abstract: In this paper, we deal with the study of convergence analysis of modified parameter based family of second derivative free continuation method for solving nonlinear equations. We obtain the order of convergence is at least… read more here.
Keywords: derivative free; order; method solving; continuation method ... See more keywords
A Global Linear and Local Superlinear (Quadratic) Inexact Non-Interior Continuation Method for Variational Inequalities Over General Closed Convex Sets
Sign Up to like & getrecommendations! Published in 2018 at "Set-Valued and Variational Analysis"
DOI: 10.1007/s11228-020-00540-6
Abstract: We use the concept of barrier-based smoothing approximations to extend the non-interior continuation method, which was proposed by B. Chen and N. Xiu for nonlinear complementarity problems based on Chen-Mangasarian smoothing functions, to an inexact… read more here.
Keywords: inexact non; continuation method; interior continuation; non interior ... See more keywords
Discrete fracture propagation analysis using a robust combined continuation method
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DOI: 10.1016/j.ijsolstr.2020.02.002
Abstract: Abstract The prediction of equilibrium paths in the presence of brittle fractures remains a challenge, despite the advances in the fracture modelling techniques. Difficulties arise in the solution of the equilibrium equations in the presence… read more here.
Keywords: continuation method; fracture propagation; method; fracture ... See more keywords
Contraction Analysis of Continuation Method for Suboptimal Model Predictive Control
Sign Up to like & getrecommendations! Published in 2024 at "IEEE Control Systems Letters"
DOI: 10.1109/lcsys.2024.3523584
Abstract: This letter analyzes the contraction property of the nonlinear systems controlled by suboptimal model predictive control (MPC) using the continuation method. We propose a contraction metric that reflects the hierarchical dynamics inherent in the continuation… read more here.
Keywords: continuation method; control; suboptimal model; contraction ... See more keywords
A Continuation Method for Graph Matching Based Feature Correspondence
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DOI: 10.1109/tpami.2019.2903483
Abstract: Feature correspondence lays the foundation for many computer vision and image processing tasks, which can be well formulated and solved by graph matching. Because of the high complexity, approximate methods are necessary for graph matching,… read more here.
Keywords: graph matching; graph; feature correspondence; continuation method ... See more keywords
Hybrid nanofluid flow encompassed of aluminum grade-V nanoparticles through parallel spinning plates: An applications of parametric continuation method
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DOI: 10.1142/s0217984925501416
Abstract: The fluid flow across two parallel permeable spinning sheets is studied in the current analysis. The hybrid nanofluid (HNF) is composed of aluminum alloys (Ti6Al4V-AA7075), ethylene glycol (50%) and water (50%). The unification of Ti6Al4V… read more here.
Keywords: aluminum; continuation method; parametric continuation; hybrid nanofluid ... See more keywords
The Feasibility of Homotopy Continuation Method for a Nonlinear Matrix Equation
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DOI: 10.1155/2020/1787058
Abstract: In this paper, we discuss the feasibility of homotopy continuation method for the nonlinear matrix equations with . This iterative method does not depend on a good initial approximation to the solution of matrix equation. read more here.
Keywords: homotopy continuation; nonlinear matrix; matrix equation; continuation method ... See more keywords
Variable thickness flow over a rotating disk under the influence of variable magnetic field: An application to parametric continuation method
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Mechanical Engineering"
DOI: 10.1177/1687814020936385
Abstract: The present work explores the behavior of three-dimensional incompressible viscous fluid flow and heat transfer over the surface of a non-flat stretchable rotating disk. A variable thickness fluid is subjected under the influence of an… read more here.
Keywords: parametric continuation; continuation method; rotating disk; heat transfer ... See more keywords