The jump condition at a possibly non-material interface for geometricallynecessary dislocation density in field dislocation mechanics (FDM) and its averaged approximation, phenomenological mesoscopic FDM (PMFDM), is derived. In the context of grain boundaries, the condition implies a tensorial constraint on all five grain boundary parameters, slip transmission at the boundary, possible grain bo...

In this paper, we develop the Crank-Nicolson finite difference method (C-N-FDM) to solve the linear time-fractional diffusion equation, formulated with Caputo’s fractional derivative. Special attention is given to study the stability of the proposed method which is introduced by means of a recently proposed procedure akin to the standard Von-Neumann stable analysis. Some numerical examples are ...

................................................................................................................. ix Acknowledgements................................................................................................. xi Transcriptions, Abbreviations, and Symbols...................................................... xiv Chapter 1: Essentials............................................

An easy-to-use variant of the finite difference method (FDM), the polynomial finite difference method (PFDM), for the numerical solution of ordinary differential equations (ODEs) and differential-algebraic equations (DAEs), is presented. Compared to the traditional implementation of the FDM, the PFDM approach has two major advantages: straightforward implementation, and easily adjustable accura...

Paper presents an original method suitable for measurement of electric field distribution in liquid dielectrics (nanosecond time domain). Electric field is reconstructed in two steps: 1) multiangular laser scanning of the space between electrodes provides projection for each laser beam, 2) using a numerical algorithm called Modified Aritmetic Reconstruction Technique (MART) electric field is re...

The concept of Noise Power Ratio (NPR) has been around since the early days of frequency division multiplexed (FDM) telephone systems. The NPR is simply a measure of the "quietness" of an unused channel in a multi-channel system when there is random activity on the others. Noise and intermodulation distortion products fall into the unused channel causing less than ideal performance. Originally ...

BACKGROUND The prevalence and risk factors for the development of feline diabetes mellitus (FDM) in Swedish cats have not previously been reported. The objective of the present pilot study was to indicate prevalence and possible risk factors for FDM in Swedish cats. Twenty diabetic cats from the database at the University Animal Hospital in Uppsala participated in the study, and these were matc...

Extruder path generation for a new rapid prototyping technique named “Curved Layer Fused Deposition Modeling” (CLFDM) has been presented. The prototyping technique employs deposition of material in curved layers in contrast to flat layers as in Fused Deposition Modeling (FDM). The proposed method would be particularly advantageous over FDM in the manufacturing of thin, curved parts (shells) by ...

This thesis demonstrates the feasibility of using a medial surface transformation as a tool to rapidly approximate the solidification patterns of convex faceted solid models of castings. The medial surface transformation is used to automate the greatest included sphere approach to solidification pattern approximation. The experimental software of this thesis extracts the medial surface transfor...

In this paper we describe a new finite-difference method (FDM) EEG forward problem formulation which accounts for anisotropy of the various head tissues in the volume conductor model of the head. Our proposal, being based on FDM, derives the head model directly from patient’s specific clinical images. We present here the numerical FD formulation and the comparison of the proposed method with a ...