Methods for High-Order Multi-Scale and Stochastic Problems Analysis, Algorithms, and Applications

Abstract

The project focused on the development, analysis, implementation, and application of efficient and high-order accurate methods for multi-scale and stochastic problems. Research focused on three topics: (1) High order weighted essentially non-oscillatory finite difference and finite volume schemes, discontinuous Galerkin finite element method, and related methods, for solving computational fluid dynamics (CFD) problems and other applications containing strong shock waves and complicated smooth region structures. (2) Development of higher order piecewise polynomial approximation for finite element methods. (3) The development of methods of simulation and analysis for the study of large scale stochastic systems of weakly interacting particles.

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Document Details

Document Type
Technical Report
Publication Date
Oct 17, 2016
Accession Number
AD1020809

Entities

People

  • Chi-Wang Shu
  • Kavita Ramanan
  • Mark Ainsworth
  • Paul Dupuis

Organizations

  • Brown University

Tags

Communities of Interest

  • Biomedical
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Electronic Mail
  • Equations
  • Finite Element Analysis
  • Fluid Dynamics
  • Mathematics
  • Numerical Analysis
  • Partial Differential Equations
  • Physics
  • Random Variables
  • Simulations
  • Stochastic Processes
  • Three Dimensional

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mathematical Modeling and Probability Theory.