A subspace expanding technique for global zero finding of multi-degree-of-freedom nonlinear systems
DOI10.1007/s10483-020-2604-6zbMath1457.74073OpenAlexW3010942980MaRDI QIDQ2659549
Jun Jiang, Zigang Li, Ling Hong, Jian-Qiao Sun
Publication date: 26 March 2021
Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10483-020-2604-6
subdivisionparallel computingspatial discretizationglobal zero findingsubspace expanding technique (SET)
Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Random vibrations in dynamical problems in solid mechanics (74H50) Numerical and other methods in solid mechanics (74S99)
Cites Work
- Various Newton-type iterative methods for solving nonlinear equations
- A matrix-free quasi-Newton method for solving large-scale nonlinear systems
- Combined bracketing methods for solving nonlinear equations
- Analysis of global properties for dynamical systems by a modified digraph cell mapping method
- A modification of Muller's method
- A quasi cell mapping approach to the global dynamical analysis of Newton's root-finding algorithm
- A subdivision algorithm for the computation of unstable manifolds and global attractors
- An improved regula falsi method for finding simple roots of nonlinear equations
- High-quality point sampling for B-spline fitting of parametric curves with feature recognition
- Finding zeros of nonlinear functions using the hybrid parallel cell mapping method
- Nonsmooth multiobjective programming with quasi-Newton methods
- Newton's method in practice: finding all roots of polynomials of degree one million efficiently
- An efficient parallel implementation of cell mapping methods for MDOF systems
- Approximate periodic solutions for the Helmholtz-Duffing equation
- Superlinear bracketing method for solving nonlinear equations
- Improved Muller method and bisection method with global and asymptotic superlinear convergence of both point and interval for solving nonlinear equations
- An exponential regula falsi method for solving nonlinear equations
- A Generalized Theory of Cell-to-Cell Mapping for Nonlinear Dynamical Systems
- Chemical equilibrium systems as numerical test problems
- A new smoothing quasi-Newton method for nonlinear complementarity problems
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