A Future Role for Numerical and Applied Mathematics in Material Sciences

Abstract

In this report, we give a general review of the possible areas, in which the methods of applied mathematics may be implemented to the benefit of modern material sciences. In particular, we address the emerging framework of nanotechnologies, and discuss both the issue of modeling, as well as that of solving (typically by approximate/numerical methods) the mathematical problem as presented by the model. We also emphasize the crucial role of close collaboration between the mathematicians on one side, and scientists and engineers on the other side, for the overall success.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 2002
Accession Number
ADA402142

Entities

People

  • E. Turkel
  • S. Abarbanel
  • S. Tsynkov

Tags

Communities of Interest

  • Advanced Electronics

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Computational Complexity
  • Computational Fluid Dynamics
  • Computational Science
  • Databases
  • Engineers
  • Equations
  • Integral Equations
  • Materials
  • Mathematical Analysis
  • Mathematical Models
  • Mathematics
  • Molecular Dynamics
  • Numerical Analysis
  • Scientists
  • Simulations

Fields of Study

  • Mathematics

Readers

  • Academic Conference Management
  • Computational Fluid Dynamics (CFD)
  • Systems Analysis and Design

Technology Areas

  • Biotechnology