Waveform relaxation methods are iterative methods for the solution of systems of ordinary differential equations. The convergence analysis of waveform relaxation methods traditionally uses the theory of Volterra convolution equations. More specifically, the convergence theory is typically based on a theorem of Paley and Wiener that gives a condition for the solution of a linear Volterra convolu...

determination of boundary surface structures is commonly used for data interpretation. horizontal and vertical derivatives are useful tool for determining the edges boundary. using horizontal and vertical derivative in signal analysis method; that is effective method for interpretation of edges boundary, have been used commercially.in acquisition potential field data, using different methods of...

The measurement of spin-lattice relaxation rates from spin labels, such as nitroxides, in the presence and absence of spin relaxants provides information that is useful for determining biomolecular properties such as nucleic acid dynamics and the interaction of proteins with membranes. We compare X-band continuous wave (CW) and pulsed or time domain (TD) EPR methods for obtaining spin-lattice r...

The viscoelastic behaviour of a biological material is central to its functioning and is an indicator of its health. The Fung quasi-linear viscoelastic (QLV) model, a standard tool for characterizing biological materials, provides excellent fits to most stress-relaxation data by imposing a simple form upon a material's temporal relaxation spectrum. However, model identification is challenging b...

Nano-structuring can significantly modify the properties of materials. We demonstrate that size-dependent modification of the spin-wave spectra in magnetic nano-particles can affect not only linear, but also nonlinear magnetic response. The discretization of the spectrum removes the frequency degeneracy between the main excitation mode of a nano-particle and the higher spin-wave modes, having t...

Relaxation indentation experiments using atomic force microscopy (AFM) are used to obtain viscoelastic material properties of soft samples. The quasilinear viscoelastic (QLV) model formulated by Fung (1972, "Stress Strain History Relations of Soft Tissues in Simple Elongation," in Biomechanics, Its Foundation and Objectives, Prentice-Hall, Englewood Cliffs, NJ, pp. 181-207) for uniaxial compres...

We study the dynamical properties of two new relaxation labeling schemes described in terms of di!erential equations, and hence evolving in continuous time. This contrasts with the customary approach to de"ning relaxation labeling algorithms which prefers discrete time. Continuous-time dynamical systems are particularly attractive because they can be implemented directly in hardware circuitry, ...