Institute for
Numerical Simulation

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M. Griebel

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AWFD Version 0.90

The C++ library for adaptive wavelet based PDE and integral equation solvers.

• Installation
  • Download & Unpack the Software
  • Configuration
  • Tested Compilers
  
  
• Mathematical Introduction
  • Univariate Wavelets
  • Multivariate Wavelets
  • Trial Spaces & Adaptivity
  • Discretization of Operators & Algorithms
  
  
• Data Structures
  • AdaptiveB
  • UniformData<DIM>
  • LevelAdaptiveData<DIM>
  • BlendingData<DIM>
  • AdaptiveData<DIM>
  
  
• Operators
  • Partial Derivatives
  • Helmholtz
  • Convection
  • Div-Grad
  • Integral Operators
  
  
• Boundary Conditions
  • Homogeneous or periodic boundary conditions
  • Dirichlet boundary conditions
  • Neumann boundary conditions
  
  
• Runtime Consistency Checks
• Solvers
• IO and Visualization of Data
  • Data Formats
  • MATLAB 5.x
  • VTK
  
  
• Examples
  • Wavelet Transforms
  • Wavelet Transform for Orthogonal Daubechies Wavelets
  • AdaptiveData
  • Calculation of Partial Derivatives
  • Adaptive Solution of a Poisson Equation
  • Solution of the Navier-Stokes Equations
  • Evaluation of Integral Expressions using Orthogonal Daubechies Wavelets
  
  
• Programming References
• Bibliography
• About this document ...