Numerical methods for bifurcations of dynamical equilibria

Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL

ACM Transactions on Mathematical Software (TOMS)

On a class of new and practical performance indexes for approximation of fold bifurcations of nonlinear power flow equations

Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 9th International Congress on computational and applied mathematics

A continuation and bifurcation technique for Navier-Stokes flows

Journal of Computational Physics

An accurate computation of the global solution curve for the Gelfand problem through a two point approximation

Applied Mathematics and Computation

Indication of a stability loss in the continuation of invariant subspaces

Mathematics and Computers in Simulation - MODELLING 2001 - Second IMACS conference on mathematical modelling and computational methods in mechanics, physics, biomechanics and geodynamics

MATCONT: A MATLAB package for numerical bifurcation analysis of ODEs

ACM Transactions on Mathematical Software (TOMS)

Applications of SAGBI-bases in dynamics

Journal of Symbolic Computation - Special issue: Algebra and computer analysis

Cl_matcont: a continuation toolbox in Matlab

Proceedings of the 2003 ACM symposium on Applied computing

Fast computational methods for locating fold points for the power flow equations

Journal of Computational and Applied Mathematics - Special Issue: Proceedings of the 10th international congress on computational and applied mathematics (ICCAM-2002)

Newton's method for singular nonlinear equations using approximate left and right nullspaces of the Jacobian

Applied Numerical Mathematics - 6th IMACS International symposium on iterative methods in scientific computing

A continuation BSOR-Lanczos-Galerkin method for positive bound states of a multi-component Bose-Einstein condensate

Journal of Computational Physics

Newton's method with deflation for isolated singularities of polynomial systems

Theoretical Computer Science

Why Newton's method is hard for travelling waves: Small denominators, KAM theory, Arnold's linear Fourier problem, non-uniqueness, constraints and erratic failure

Mathematics and Computers in Simulation

An efficient algorithm for the Schrödinger-Poisson eigenvalue problem

Journal of Computational and Applied Mathematics

Solving regularly and singularly perturbed reaction-diffusion equations in three space dimensions

Journal of Computational Physics

Generating complete bifurcation diagrams using a dynamic environment particle swarm optimization algorithm

Journal of Artificial Evolution and Applications - Particle Swarms: The Second Decade

Computing eigenfunctions of singular points in nonlinear parametrized two-point BVPs

Applied Numerical Mathematics

Newton's method for singular nonlinear equations using approximate left and right nullspaces of the Jacobian

Applied Numerical Mathematics - 6th IMACS International symposium on iterative methods in scientific computing

Computational algebra for bifurcation theory

Journal of Symbolic Computation

Invariant manifolds and Grobman-Hartman theorem for equations with degenerate operator at the derivative

ICCS'03 Proceedings of the 2003 international conference on Computational science: PartII

Numerical continuation of fold bifurcations of limit cycles in MATCONT

ICCS'03 Proceedings of the 1st international conference on Computational science: PartI

Sweeping algebraic curves for singular solutions

Journal of Computational and Applied Mathematics

A hyperplane-constrained continuation method for near singularity in coupled nonlinear Schrödinger equations

Applied Numerical Mathematics

Continuation of Invariant Subspaces for Parameterized Quadratic Eigenvalue Problems

SIAM Journal on Matrix Analysis and Applications

Inverse Iteration for Purely Imaginary Eigenvalues with Application to the Detection of Hopf Bifurcations in Large-Scale Problems

SIAM Journal on Matrix Analysis and Applications

A novel method for computation of higher order singular points in nonlinear problems with single parameter

Journal of Computational and Applied Mathematics

Bifurcation analysis of large equilibrium systems in MATLAB

ICCS'05 Proceedings of the 5th international conference on Computational Science - Volume Part I

Continuation of homoclinic orbits in MATLAB

ICCS'05 Proceedings of the 5th international conference on Computational Science - Volume Part I

Interactive Initialization and Continuation of Homoclinic and Heteroclinic Orbits in MATLAB

ACM Transactions on Mathematical Software (TOMS)

Original articles: Computing non unique solutions of the Coulomb friction problem

Mathematics and Computers in Simulation

A two-parameter continuation method for computing numerical solutions of spin-1 Bose-Einstein condensates

Journal of Computational Physics

Numerical computation of bifurcations in large equilibrium systems in matlab

Journal of Computational and Applied Mathematics

Automating embedded analysis capabilities and managing software complexity in multiphysics simulation, Part I: Template-based generic programming

Scientific Programming - A New Overview of the Trilinos Project --Part 1