Monolithic homotopy continuation with predictor based on higher derivatives

DOI10.1016/j.cam.2018.06.036zbMath1452.65096OpenAlexW2836793736MaRDI QIDQ1624616

David W. Zingg, David A. Brown

Publication date: 16 November 2018

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2018.06.036

zbMATH Keywords

computational fluid dynamicsNewton-Krylovglobalizationhomotopycontinuationhigher-order predictor

Mathematics Subject Classification ID

General aerodynamics and subsonic flows (76G25) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20)

Related Items (1)

A TFC-based homotopy continuation algorithm with application to dynamics and control problems

Uses Software

• ADIFOR

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Efficient numerical differentiation of implicitly-defined curves for sparse systems
• A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws
• A monolithic homotopy continuation algorithm with application to computational fluid dynamics
• Continuation techniques for a penalty approximation of the Navier-Stokes equations
• Numerical differentiation of implicitly defined space curves
• Computing turning points of curves implicitly defined by nonlinear equations depending on a parameter
• Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
• Weighted essentially non-oscillatory schemes
• Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
• Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations
• Homotopy continuation of the high-order flux reconstruction/correction procedure via reconstruction (FR/CPR) method for steady flow simulation
• Numerical differentiation of implicitly defined curves
• Numerical continuation of high Reynolds number external flows
• A numerical bifurcation study of natural convection in a tilted two-dimensional porous cavity
• A New Method of Imposing Boundary Conditions in Pseudospectral Approximations of Hyperbolic Equations
• A bifurcation study of laminar flow in a curved tube of rectangular cross-section
• Higher Order Predictors and Adaptive Steplength Control in Path Following Algorithms
• Globally Convergent Inexact Newton Methods
• Using Complex Variables to Estimate Derivatives of Real Functions
• Numerical Differentiation of Analytic Functions

This page was built for publication: Monolithic homotopy continuation with predictor based on higher derivatives