Fluorescent speckle microscopy (FSM) is becoming the technique of choice for analyzing in vivo the dynamics of polymer assemblies, such as the cytoskeleton. The massive amount of data produced by this method calls for computational approaches to recover the quantities of interest; namely, the polymerization and depolymerization activities and the motions undergone by the cytoskeleton over time....

A new adaptive Fundamental Solution Method (FSM) for the approximate solution of scalar elliptic boundary value problems is presented. The construction of the basis functions is based on the Adaptive Cross Approximation (ACA) of the fundamental solution of the corresponding elliptic operator. An algorithm for an immediate computer implementation of the method is formulated. A series of numerica...

A method is presented (with standard examples) based on an elementary complex integral expression, for developing Frobenius series solutions for second-order linear homogeneous ordinary Fuchs differential equations. The method reduces the task of finding a series solution to the solution, instead, of a system of simple equations in a single variable. The method is straightforward to apply as an...

Fluorescent Speckle Microscopy (FSM) is a technology for analyzing cytoskeleton dynamics, giving novel insight into their roles in living cells. New applications of FSM, together with the development of computer-based FSM image analysis, will make FSM the first microscopy-based method to deliver quantitative kinetic readouts at high spatial and temporal resolution for a wide variety of macromol...

We propose a methodology for non-intrusive design of concurrently self-testable FSMs. The proposed method is similar to duplication, wherein a replica of the original FSM acts as a predictor that immediately detects potential faults by comparison to the original FSM. However, instead of duplicating the complete FSM, the proposed method replicates only a minimal portion adequate to detect all po...

The finite-strip method (FSM) is a hybrid technique which combines spectral and finite-element methods. Finite-element approximations are made for each mode of a finite Fourier series expansion. The Galerkin formulated method is set apart from other weighted-residual techniques by the selection of two types of basis functions, a piecewise linear interpolating function and a trigonometric functi...

We give further results for Perron-Frobenius theory on the numericalrange of real matrices and some other results generalized from nonnegative matricesto real matrices. We indicate two techniques for establishing the main theorem ofPerron and Frobenius on the numerical range. In the rst method, we use acorresponding version of Wielandt's lemma. The second technique involves graphtheory.

lsmr (least squares minimal residual) is an iterative method for the solution of the linear system of equations and leastsquares problems. this paper presents a block version of the lsmr algorithm for solving linear systems with multiple right-hand sides. the new algorithm is based on the block bidiagonalization and derived by minimizing the frobenius norm of the resid ual matrix of normal equa...

ISO 14143-1 specifies that a functional size measurement (FSM) method must provide measurement procedures to quantify the functional user requirements (FURs) of software. Such quantitative information, functional size, is typically used, for instance, in software estimation. One of the international standards for FSM is the COSMIC FSM method – ISO 19761– which was designed to be applied both to...

Finite-State Machine (FSM) applications are important for many domains. But FSM computation is inherently sequential, making such applications notoriously difficult to parallelize. Most prior methods address the problem through speculations on simple heuristics, offering limited applicability and inconsistent speedups. This paper provides some principled understanding of FSM parallelization, an...