Optimal adaptive ridgelet schemes for linear advection equations

[1]  P. Halmos,et al.  Bounded integral operators on L²spaces , 1978 .

[2]  T. Hughes,et al.  Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations , 1990 .

[3]  Ingrid Daubechies,et al.  Ten Lectures on Wavelets , 1992 .

[4]  M. Modest Radiative heat transfer , 1993 .

[5]  Wolfgang Dahmen,et al.  Adaptive wavelet methods for elliptic operator equations: Convergence rates , 2001, Math. Comput..

[6]  Emmanuel J. Candès Ridgelets and the Representation of Mutilated Sobolev Functions , 2001, SIAM J. Math. Anal..

[7]  Rob P. Stevenson,et al.  Adaptive Solution of Operator Equations Using Wavelet Frames , 2003, SIAM J. Numer. Anal..

[8]  E. Candès,et al.  Continuous curvelet transform , 2003 .

[9]  J. Guermond,et al.  Theory and practice of finite elements , 2004 .

[10]  Minh N. Do,et al.  Ieee Transactions on Image Processing the Contourlet Transform: an Efficient Directional Multiresolution Image Representation , 2022 .

[11]  Wang-Q Lim,et al.  Sparse multidimensional representation using shearlets , 2005, SPIE Optics + Photonics.

[12]  E. Candès,et al.  Continuous curvelet transform: II. Discretization and frames , 2005 .

[13]  Laurent Demanet,et al.  Fast Discrete Curvelet Transforms , 2006, Multiscale Model. Simul..

[14]  M. Nielsen,et al.  Frame Decomposition of Decomposition Spaces , 2007 .

[15]  Massimo Fornasier,et al.  Adaptive frame methods for elliptic operator equations , 2007, Adv. Comput. Math..

[16]  S. Li Concise Formulas for the Area and Volume of a Hyperspherical Cap , 2011 .

[17]  Konstantin Grella,et al.  Sparse Discrete Ordinates Method in Radiative Transfer , 2011, Comput. Methods Appl. Math..

[18]  P. Grohs,et al.  Sparse twisted tensor frame discretization of parametric transport operators , 2011 .

[19]  Gitta Kutyniok,et al.  Introduction to Shearlets , 2012 .

[20]  P. Grohs Ridgelet-type Frame Decompositions for Sobolev Spaces related to Linear Transport , 2012 .

[21]  Gitta Kutyniok,et al.  Parabolic Molecules , 2012, Found. Comput. Math..

[22]  Philipp Grohs,et al.  FFRT: A Fast Finite Ridgelet Transform for Radiative Transport , 2014, Multiscale Model. Simul..