Choosing good problems is essential for being a good scientist. But what is a good problem, and how do you choose one? The subject is not usually discussed explicitly within our profession. Scientists are expected to be smart enough to figure it out…
Mathematical Modelling and Industrial Mathematics
In this subdiscipline:
51 papers
Discipline summary
Popular papers


The Conjugate Gradient Method is the most prominent iterative method for solving sparse systems of linear equations. Unfortunately, many textbook treatments of the topic are written with neither illustrations nor intuition, and their victims can be…

We present an overview of how the arterial fluid mechanics problems can be modeled with the stabilized space–time fluid–structure interaction (SSTFSI) technique developed by the Team for Advanced Flow Simulation and Modeling (TAFSM). The SSTFSI…

Introduction This is a concise summary of recommended features in LATEX and a couple of extension packages for writing math formulas. Readers needing greater depth of detail are referred to the sources listed in the bibliography, especially…

This paper presents an analytical model and a geometric numerical integrator for a tethered spacecraft model that is composed of two rigid bodies connected by an elastic tether. This model includes important dynamic characteristics of tethered…

Despite application of cryogen spray (CS) precooling, customary treatment of port wine stain (PWS) birthmarks with a single laser pulse does not result in complete lesion blanching for a majority of patients. One obvious reason is nonselective…

Over the second half of the 20th century the subject area loosely referred to as numerical analysis of partial differential equations (PDEs) has undergone unprecedented development. At its practical end, the vigorous growth and steady…

We are developing a dual panel breastdedicated PET system using LSO scintillators coupled to position sensitive avalanche photodiodes (PSAPD). The charge output is amplified and read using NOVA RENA3 ASICs. This paper shows that the coincidence…

Matrix identities, relations and approximations. A desktop reference for quick overview of mathematics of matrices.

Completely revised text focuses on use of spectral methods to solve boundary value, eigenvalue, and timedependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, as well as cardinal…

Predicting the binding mode of flexible polypeptides to proteins is an important task that falls outside the domain of applicability of most small molecule and protein−protein docking tools. Here, we test the small molecule flexible ligand docking…

Networks of coupled dynamical systems have been used to model biological oscillators, Josephson junction arrays, excitable media, neural networks, spatial games, genetic control networks and many other selforganizing systems. Ordinarily, the…

A precise definition of the basic reproduction number, ??? 0, is presented for a general compartmental disease transmission model based on a system of ordinary differential equations. It is shown that, if ???…

Many models for the spread of infectious diseases in populations have been analyzed mathematically and applied to specific diseases. Threshold theorems involving the basic reproduction number $R_{0}$, the contact number $\sigma$, and the replacement…

Creating amesh is the first step in a wide range of applications, including scientific comput ing and computer graphics. An unstructured simplex mesh requires a choice of meshpoints (vertex nodes) and a triangulation. We want to offer a short and…

Abstract. In this paper we review and further develop a class of strong stabilitypreserving (SSP) highorder time discretizations for semidiscrete method of lines approximations of par tial differential equations. Previously termed TVD (total…

The recent development of various methods of modulation such as PCM and PPM which exchange bandwidth for signaltonoise ratio has intensified the interest in a general theory of communication. A basis for such a theory is contained in the important…

This is the only book on spectral methods built around MATLAB programs. Along with finite differences and finite elements, spectral methods are one of the three main technologies for solving partial differential equations on computers. Since…

The term immersed boundary methodwas first used in reference to a method de veloped by Peskin (1972) to simulate cardiac mechanics and associated blood flow. The distinguishing feature of this methodwas that the entire simulationwas carried out on…

We devise new numerical algorithms, called PSC algorithms, for following fronts propagating with curvaturedependent speed. The speed may be an arbitrary function of curvature, and the front also can be passively advected by an underlying flow.…
Popular tags
Sign up today  FREE
Mendeley saves you time finding and organizing research. Learn more
 All your research in one place
 Add and import papers easily
 Access it anywhere, anytime