Numerical Initial Value Problems in Ordinary Differential Equations

In this Chapter, we imagine a decision maker (or a group of experts) trying to establish or examine fair procedures to combine opinions about alternatives related to different points of view.

Multiple criteria decision making

Applied Numerical Analysis. By C.F. Gerald. Pp. xii, 340. £3·60. 1970. (Addison-Wesley.)

流体力学用語集 非線形音響学(Nonlinear acoustics)

Manufacturers are faced with many challenges, such as globalization, disparate enterprise systems and a lack of platform maturity. These will only multiply as technology advances, offshore manufacturing increases and new ways of working emerge. To overcome these challenges, many manufacturers have embraced product lifecycle management (PLM) or have expanded the use of PLM processes and tools to manage product data effi ciently, with increased visibility and control over the life cycle of the product.

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Product lifecycle management

Convergence theorem for the Haar wavelet based discretization method

Current study contains adaption of Haar wavelet discretization method (HWDM) for FG beams and its accuracy estimates. The convergence analysis is performed for differential equations covering a wide class of composite and nanostructures. Corresponding error bound has been derived. It has been shown that the order of convergence of the HWDM can be increased from two to four by applying Richardson extrapolation method. The theoretical estimates are validated by numerical samples considering FGM beam as a model problem. The results obtained by applying HWDM are compared with the results of finite difference method (FDM).

On the accuracy of the Haar wavelet discretization method

New higher order Haar wavelet method: Application to FGM structures

Weak formulation based Haar wavelet method for solving differential equations

The Haar wavelet discretization technique for solving the elastic bending problems of orthotropic plates and shells is proposed. Free transverse vibrations of orthotropic rectangular plates with a variable thickness in one direction are considered as a model problem. In the case of constant plate thickness, the numerical results are validated by comparing them with an exact solution. The results obtained are found to be in good agreement with those available in the literature.

Jüri Majak

Papers

Convergence theorem for the Haar wavelet based discretization method

On the accuracy of the Haar wavelet discretization method

New higher order Haar wavelet method: Application to FGM structures

Weak formulation based Haar wavelet method for solving differential equations

Application of the Haar wavelet-based discretization technique to problems of orthotropic plates and shells