We present an overview of approaches to selfvalidating one-dimensional integration quadrature formulas and a verified numerical integration algorithm with an adaptive strategy. The new interval integration adaptive algorithm delivers a desired integral enclosure with an error bounded by a specified error bound. The adaptive technique is usually much more efficient than Simpson’s rule and narrow...

We study the problem of efficient integration of variational equations in multi-dimensional Hamiltonian systems. For this purpose, we consider a Runge-Kutta-type integrator, a Taylor series expansion method and the so-called ‘Tangent Map’ (TM) technique based on symplectic integration schemes, and apply them to the Fermi-Pasta-Ulam β (FPU-β) lattice of N nonlinearly coupled oscillators, with N ...

A new integration technique based on use of Quasi Monte Carlo Integration (QMCI) technique is proposed for Method of Moments (MoM) solution of Integral equation for capacitance computation. The integral equation for unknown charge distribution over the capacitors is formulated. The solutions are obtained by MoM using the QMCI technique. It is observed that the proposed method is not only capabl...

We developed a technique for performing quantitative phase reconstructions from differential phase contrast images obtained using a configured detector in a scanning transmission X-ray microscope geometry. The technique uses geometric optics to describe the interaction of the X-ray beam with the specimen, which allows interpretation of the measured intensities in terms of the derivative of the ...

Integration of planar circuits to non-planar ones has been recently considered as a credible technique for low-cost mass production of microwave and millimeter-wave circuits and systems. This paper regards these concepts that provide for a complete integration of planar circuits and waveguide filters synthesized on a single substrate by means of metalized post (via-hole) arrays. A method of des...

A novel request-driven globally asynchronous locally synchronous (GALS) technique for the system integration of complex digital blocks is proposed. For this new GALS technique, an asynchronous wrapper compliant is developed and evaluated. This proposed GALS technique is applied to a baseband processor compatible with the wireless LAN standard IEEE 802.11a. The developed GALS baseband processor ...

This paper presents a general method for the integration of distributed microphone arrays for localization of a sound source. The recently proposed sound localization technique, known as SRP-PHAT, is shown to be a special case of themore general microphone array integrationmechanism presented here. The proposed technique utilizes spatial likelihood functions (SLFs) produced by each microphone a...

| We describe a general technique for specifying trajectories of controllable imaging parameters in an active vision system so that temporal integration processes are optimized. The technique assumes that a Kalman lter is used to perform the temporal integration of measurements and is based on determining, at each point in time, the set of imaging parameter values that minimizes the trace of th...

We present a new technique for the numerical integration over R a square or triangle of an integrand of the form ru B rv This uses only function values of u B and v avoiding ex plicit di erentiation but is suitable only when the integrand function is regular over R The technique is analogous to Romberg integration since it is based on using a sequence of very simple discretiza tions J m m of th...