In this paper, we present the numerical solution of ordinary differential equations (or SDEs), from each order especially second-order with time-varying and Gaussian random coefficients. We indicate a complete analysis for second-order equations in special case of scalar linear second-order equations (damped harmonic oscillators with additive or multiplicative noises). Making stochastic differe...

This paper demonstrates the application of a numerical continuation method to dynamic piecewise aeroelastic systems. The aeroelastic system is initially converted into a state space form, and then into a set of equations which solve the system as the motion moves between different linear zones in a freeplay motion. Once an initial condition is found that satisfies these sets of equations a cont...

a r t i c l e i n f o a b s t r a c t In this paper we use a numerical relaxation algorithm to improve and generalize the obtainment of the perturbation eigenstates of nonlinear systems. As a model problem we consider the linear stability analysis of the vortex eigenstates of the cubic–quintic nonlinear Schrödinger equation. It is shown by numerical calculations that the relaxation algorithm pe...

Over the years, computational physics and chemistry served as an ongoing source of problems that demanded the ever increasing performance from hardware as well as the software that ran on top of it. Most of these problems could be translated into solutions for systems of linear equations: the very topic of numerical linear algebra. Seemingly then, a set of efficient linear solvers could be solv...

Matrix factorization in numerical linear algebra (NLA) typically serves the purpose of restating some given problem in such a way that it can be solved more readily; for example, one major application is in the solution of a linear system of equations. In contrast, within applied statistics/psychometrics (AS/P), a much more common use for matrix factorization is in presenting, possibly spatiall...

SUMMARY StratiGraph, a Java-based tool for computation and presentation of closure hierarchies of Jordan and Kronecker structures is presented. The tool is based on recent theoretical results on stratiications of orbits and bundles of matrices and matrix pencils. A stratiication reveals the complete hierarchy of nearby structures, information critical for explaining the qualitative behavior of ...

this paper presents a novel formulation and numerical solutions for adhesively bonded composite joints with non-linear (softening) adhesive behaviour. the presented approach has the capability of choosing arbitrary loadings and boundary conditions. in this model adherends are orthotropic laminates that obey classical lamination theory. the stacking sequences can be either symmetric or asymmetri...

Or use your credit card (AMEX, MasterCard, and VISA): Call SIAM Customer Service at +1-215-382-9800 worldwide · Fax: +1-215-386-7999 E-mail: [email protected]. Send check or money order in US dollars to: SIAM, Dept. BKIL09, 3600 Market Street, 6th Floor, Philadelphia, PA 19104-2688 USA. Members and customers outside North America can also order SIAM books through Cambridge University Press at ww...