Titlebook: Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science; Monica G. Cojocaru,Ilias S. Kotsireas,Hasan Shodie Co

Narrative

Set-valued Nonlinear Fredholm Integral Equations: Direct and Inverse Problem,In this chapter we study a set-valued nonlinear Fredholm integral inclusion. We prove the existence of a solution and provide a numerical method based on the Steiner selection and Schauder bases to determine an approximated solution. We then discuss an inverse problem. Numerical results are also provided to show how the method works practically.

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978-3-319-37106-1Springer International Publishing Switzerland 2015

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Exact Solutions and Conservation Laws of the Joseph-Egri Equation with Power Law Nonlinearity, applications. The Lie group analysis and simplest equation method are used to carry out the integration of this equation. The solutions obtained are travelling wave solutions. Moreover, the conservation laws for the Joseph-Egri equation with power law nonlinearity are constructed by using the multiplier method.

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Input-to-State Stability of Large-Scale Stochastic Impulsive Systems with Time Delay and Applicatiodisturbance input having bounded energy. The interest is to develop a comparison principle and establish input-to-state stability (ISS) in the mean square (m.s.) using vector Lyapunov function and Razumikhin technique. Impulses are being viewed as perturbation to stable systems, and they have a stabilizing role to unstable systems.

acolyte

Computing Least Squares Condition Numbers on Hybrid Multicore/GPU Systems, top of the multicore-GPU library MAGMA. This set of routines is based on an efficient computation of the variance–covariance matrix for which, to our knowledge, there is no implementation in current public domain libraries LAPACK and ScaLAPACK.

insular

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Strip Saturation Yield Model for a Piezoelectric Plate: A Study on Influence of Change in Poling Ditric plate cut along two equal collinear semipermeable cracks. Solution is obtained using Stroh formalism and complex variable technique. An illustrative numerical example is considered for a poled PZT-5H ceramic plate to show the effect of change in poling direction on energy release rate (ERR).

深渊

An Application of the Double Skorokhod Formula,nsaction policy while maintaining the reserve requirements. Within the model of [3] and [6] we describe the optimal net transaction amount using the Skorokhod formula developed in [8]. This formula provides a fast way of computing the optimal net transaction amount.

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Exact Solutions and Conservation Laws of the Joseph-Egri Equation with Power Law Nonlinearity, applications. The Lie group analysis and simplest equation method are used to carry out the integration of this equation. The solutions obtained are travelling wave solutions. Moreover, the conservation laws for the Joseph-Egri equation with power law nonlinearity are constructed by using the multi