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Practical Bifurcation and Stability Analysis
and Prerequisites.- Basic Nonlinear Phenomena.- Applications and Extensions.- Principles of Continuation.- Calculation of the Branching Behavior of Nonlinear Equations.- Calculating BranchingExpand
Numerical Integration of Stochastic Differential Equations
This chapter provides an introduction into the numerical integration of stochastic differential equations (SDEs). Again X t denotes a stochastic process and solution of an SDE, $$\frac{{\partialExpand
Practical bifurcation and stability analysis : from equilibrium to chaos
Basic Nonlinear Phenomena Practical Problems Principles of Continuation Calculation of the Branching Behaviour of Nonlinear Equations Calculating Branching Behaviour of Boundary-value ProblemsExpand
From Equilibrium to Chaos: Practical Bifurcation and Stability Analysis
Rather than enjoying a good PDF next a cup of coffee in the afternoon, instead they juggled in the same way as some harmful virus inside their computer. from equilibrium to chaos practicalExpand
From equilibrium to chaos
Numerical computation of branch points in nonlinear equations
SummaryThe numerical computation of branch points in systems of nonlinear equations is considered. A direct method is presented which requires the solution of one equation only. The branch points areExpand
Tools for Computational Finance
Modelling Tools for Financial Options.- Generating Random Numbers with Specified Distributions.- Simulation with Stochastic Differential Equations.- Standard Methods for Standard Options.-Expand
Role of continuation in engineering analysis
Abstract This paper reviews the state of the art of the continuation methods. In particular, a discussion of the tracing of parameter dependent branches of solutions is presented. Basic steps ofExpand
TUTORIAL ON CONTINUATION
TLDR
This paper presents a tutorial on continuation, and explains the principles of predictor–corrector methods for generating solutions to equations that involve a parameter. Expand
Numerical computation of branch points in ordinary differential equations
SummaryThis paper deals with the computation of branch points in ordinary differential equations. A direct numerical method is presented which requires the solution of only one boundary valueExpand
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