Advances in Interdisciplinary Mathematical Research

Applications to Engineering, Physical and Life Sciences

  • Bourama Toni
Conference proceedings

Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 37)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Jonathan B. Ransom, Edwards H. Glaessgen, James G. Ratcliffe
    Pages 1-34
  3. Back Matter
    Pages 279-284

About these proceedings


This volume contains the invited contributions to the Spring 2012 seminar series at Virginia State University on Mathematical Sciences and Applications. It is a thematic continuation of work presented in Volume 24 of the Springer Proceedings in Mathematics & Statistics series. Contributors present their own work as leading researchers to advance their specific fields and induce a genuine interdisciplinary interaction. Thus all articles therein are selective, self-contained, and are pedagogically exposed to foster student interest in science, technology, engineering and mathematics, stimulate graduate and undergraduate research, as well as collaboration between researchers from different areas.


The volume features new advances in mathematical research and its applications: anti-periodicity; almost stochastic difference equations; absolute and conditional stability in delayed equations; gamma-convergence and applications to block copolymer morphology; the dynamics of collision and near-collision in celestial mechanics; almost and pseudo-almost limit cycles; rainbows in spheres and connections to ray, wave and potential scattering theory; null-controllability of the heat equation with constraints; optimal control for systems subjected to null-controllability; the Galerkin method for heat transfer in closed channels; wavelet transforms for real-time noise cancellation; signal, image processing and machine learning in medicine and biology; methodology for research on durability, reliability, damage tolerance of aerospace materials and structures at NASA Langley Research Center.


The volume is suitable and valuable for mathematicians, scientists and research students in a variety of interdisciplinary fields, namely physical and life sciences, engineering and technology including structures and materials sciences, computer science for signal, image processing and machine learning in medicine.


Block copolymer morphology and gamma-convergence theory. Damage science for aerospace materials and structures Heat Transfer Image processing, wavelets, and machine learning. N-body problems Optimal Control Rainbows Stability and periodicity

Editors and affiliations

  • Bourama Toni
    • 1
  1. 1., Dept of Mathematics & Computer SciencesVirginia State UniversityPetersburgUSA

Bibliographic information