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The overlapping sinc{collocation domain decomposition method combined with the Schwarz alternating technique is developed for two-point boundary-value problems for second-order ordinary diierential equations with singularities. The discrete system is formulated and the solution technique is described. It is shown that this method has an exponential… (More)

The sinc{collocation overlapping method is developed for two-point boundary-value problems for second-order ordinary diierential equations. The discrete system is formulated and the bordering algorithm used for the solution of this system is described. It is then shown that the convergence rate is exponential even if the solution has boundary singularities.… (More)

EEorts to develop sinc domain decomposition methods for second-order two-point boundary-value problems have been successful, thus warranting further development of these methods. A logical rst step is to thoroughly investigate the extension of these methods to Poisson's equation posed on a rectangle. The Sinc-Galerkin and sinc-collocation methods are, for… (More)

Sinc basis functions form a desirable basis to use for solving singular problems via domain decomposition. This is because both the Sinc-Galerkinand sinc-collocationmethods converge exponentially, even in the presence of boundary singularities. This work deals with sinc methods for second-order ordinary diierential equations with homogeneous Dirichlet… (More)

We report on our eeorts to model nonlinear dynamics in elastomers. Our eeorts include the development of computational techniques for simulation studies and for use in inverse or system identiication problems. As a rst step towards the full dynamic case, we present the static inverse problem, with experimental results. We also present results from the… (More)

- H T Banks, N J Lybeck, M J Gaitens, B C Mu, L C Yanyo
- 1996

Accurate modeling of the dynamic mechanical behavior of elastomers presents many challenges, including the nonlinear relationship between stress and strain, the loss of kinetic energy (damping), and the loss of potential energy (hysteresis). Currently available software packages for studying the stress-strain laws in rubber-like materials assume a form of… (More)

- H T Banks, N J Lybeck, B C Mu~ Noz, L C Yanyo
- 1995

We report on our eeorts to model nonlinear dynamics in elastomers. Our eeorts include the development of computational techniques for simulation studies and for use in inverse or system identiication problems.

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