Mathematics

  2013 MAY 14 (VerticalNews) -- By a News Reporter-Staff News Editor at Journal of Mathematics -- Investigators discuss new findings in Inverse Research. According to news reporting originating in Ann Arbor, Michigan, by VerticalNews journalists, research stated, "In this paper we develop a convergence analysis in an infinite dimensional setting of the Levenberg-Marquardt iteration for the solution of a hybrid conductivity imaging problem. The problem consists in determining the spatially varying conductivity sigma from a series of measurements of power densities for various voltage inductions. ...read more

  2013 MAY 14 (VerticalNews) -- By a News Reporter-Staff News Editor at Journal of Mathematics -- Current study results on Inverse Research have been published. According to news reporting out of Milan, Italy, by VerticalNews editors, research stated, "We prove uniqueness and continuous dependence results for a severely ill-posed linear integrodifferential boundary-value parabolic problem with no initial condition."

  Our news journalists obtained a quote from the research from the University of Milan, "This latter condition is replaced with an additional boundary information prescribing the temperature on an open subset of the geometric domain Omega. The integral operators entering the equation are defined by integrals of Volterra type with respect to time. ...read more

  2013 MAY 14 (VerticalNews) -- By a News Reporter-Staff News Editor at Journal of Mathematics -- A new study on Inverse Research is now available. According to news reporting out of Hokkaido, Japan, by VerticalNews editors, research stated, "The inversion (= reconstruction) scheme, called the dynamical probe method, is applied to active thermography to identify unknown inclusions in an heat conductor and their physical properties. We assume the physical properties of the inclusions and heat conductor are isotropic and homogeneous. ...read more