Hermite methods for the scalar wave equation

D Appelo, T Hagstrom, A Vargas - SIAM Journal on Scientific Computing, 2018 - SIAM
Arbitrary order dissipative and conservative Hermite methods for the scalar wave equation
are presented. Both methods use (m+1)^d degrees of freedom per node for the …

A fourth-order accurate embedded boundary method for the wave equation

D Appelo, NA Petersson - SIAM Journal on Scientific Computing, 2012 - SIAM
A fourth-order accurate embedded boundary method for the scalar wave equation with
Dirichlet or Neumann boundary conditions is described. The method is based on a compact …