TRACING THE SOLUTION SURFACE WITH FOLDS OF A TWO-PARAMETER SYSTEM
From MaRDI portal
Publication:5474319
DOI10.1142/S0218127405013630zbMath1092.65503MaRDI QIDQ5474319
B.-W. Jeng, Cheng-Sheng Chien, Shing-Lin Chang
Publication date: 23 June 2006
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Abstract bifurcation theory involving nonlinear operators (47J15) Boundary value problems for linear higher-order PDEs (35G15)
Related Items
On the evolution and qualitative behaviors of bifurcation curves for a boundary value problem, NUMERICAL CONTINUATION FOR NONLINEAR SCHRÖDINGER EQUATIONS, SUPERCONVERGENCE OF FEMS AND NUMERICAL CONTINUATION FOR PARAMETER-DEPENDENT PROBLEMS WITH FOLDS, Computing wave functions of nonlinear Schrödinger equations: a time-independent approach, A finite difference continuation method for computing energy levels of Bose-Einstein condensates
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- A continuation and bifurcation technique for Navier-Stokes flows
- On the computation of multi-dimensional solution manifolds of parametrized equations
- Numerical computational of branch points in nonlinear equations
- Multiple bifurcations in a reaction-diffusion problem
- Mode Jumping In The Von Kármán Equations
- Deflation Techniques and Block-Elimination Algorithms for Solving Bordered Singular Systems
- An Algorithm for Piecewise-Linear Approximation of an Implicitly Defined Manifold
- Deflated Decomposition of Solutions of Nearly Singular Systems
- Eigenvalues of the Laplacian in Two Dimensions
- Folds in Solutions of Two Parameter Systems and Their Calculation. Part I
- Continuation-Conjugate Gradient Methods for the Least Squares Solution of Nonlinear Boundary Value Problems
- The Calculation of Turning Points of Nonlinear Equations
- Computation of Critical Boundaries on Equilibrium Manifolds
- Computation of Singularities in Large Nonlinear Systems
- BORDERED MATRICES AND SINGULARITIES OF LARGE NONLINEAR SYSTEMS
- Introduction to Numerical Continuation Methods
- A MULTIGRID-LANCZOS ALGORITHM FOR THE NUMERICAL SOLUTIONS OF NONLINEAR EIGENVALUE PROBLEMS
- An Algorithm for Piecewise Linear Approximation of Implicitly Defined Two-Dimensional Surfaces
- MULTIPLE PARAMETER CONTINUATION: COMPUTING IMPLICITLY DEFINED k-MANIFOLDS
- On the Existence of Positive Solutions of Semilinear Elliptic Equations
- Numerical Methods for Bifurcations of Dynamical Equilibria