Algorithm 956

DOI10.1145/2714570zbMath1347.65091arXiv1312.3491OpenAlexW2291318941WikidataQ113310256 ScholiaQ113310256MaRDI QIDQ2828171

Lennaert Van Veen, D. A. Aruliah, Alex Dubitski

Publication date: 24 October 2016

Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.3491

zbMATH Keywords

adaptivityparallel computingpseudo-arclength continuation

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Parallel numerical computation (65Y05) Numerical computation of roots of polynomial equations (65H04)

Related Items (4)

Solution space exploration of low-thrust minimum-time trajectory optimization by combining two homotopies ⋮ Parallel numerical continuation of periodic responses of local nonlinear systems ⋮ A \(J\)-\textit{integral}-based arc-length solver for brittle and ductile crack propagation in finite deformation-finite strain hyperelastic solids with an application to graphene kirigami ⋮ PAMPAC

Uses Software

• AUTO-07P
• GSL
• channelflow
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Cites Work

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• Newton-Krylov continuation of periodic orbits for Navier-Stokes flows
• Elements of applied bifurcation theory.
• Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
• The Significance of Simple Invariant Solutions in Turbulent Flows
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• LAPACK Users' Guide
• Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
• Solving Nonlinear Equations with Newton's Method
• Introduction to Numerical Continuation Methods
• A Direct Method for Computing Higher Order Folds
• Numerical Methods for Bifurcations of Dynamical Equilibria
• Condition Estimates for Pseudo‐Arclength Continuation
• Periodic motion representing isotropic turbulence

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