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- Heinz-Otto Kreiss, N. Anders Petersson
- SIAM J. Numerical Analysis
- 2012

We study the half-plane problem for the elastic wave equation subject to a free surface boundary condition, with particular emphasis on almost incompressible materials. A normal mode analysis isâ€¦ (More)

- Heinz-Otto Kreiss, N. Anders Petersson, Jacob YstrÃ¶m
- SIAM J. Numerical Analysis
- 2004

- Stefan Nilsson, N. Anders Petersson, BjÃ¶rn SjÃ¶green, Heinz-Otto Kreiss
- SIAM J. Numerical Analysis
- 2007

- BjÃ¶rn SjÃ¶green, N. Anders Petersson
- J. Sci. Comput.
- 2012

We present a fourth order accurate finite difference method for the elastic wave equation in second order formulation, where the fourth order accuracy holds in both space and time. The key ingredientâ€¦ (More)

- Daniel AppelÃ¶, N. Anders Petersson
- SIAM J. Scientific Computing
- 2012

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 Pade-type discretization ofâ€¦ (More)

- Heinz-Otto Kreiss, N. Anders Petersson, Jacob YstrÃ¶m
- SIAM J. Numerical Analysis
- 2002

Difference approximations are derived for the second order wave equation in one and two space dimensions, without first writing it as a first order system. Both the Dirichlet and the Neumann problemsâ€¦ (More)

- Heinz-Otto Kreiss, N. Anders Petersson
- SIAM J. Scientific Computing
- 2006

A second order accurate embedded boundary method for the two-dimensional wave equation with discontinuous wave propagation speed is described. The wave equation is discretized on a Cartesian gridâ€¦ (More)

The stabilityof interpolationfor one-dimensionaloverlappinggrids is considered. The Cauchy-problem for a second order accurate centered nite diierence approximation of ut = ux is analyzed on theâ€¦ (More)

- N. Anders Petersson, Ossian O'Reilly, BjÃ¶rn SjÃ¶green, Samuel Bydlon
- J. Comput. Physics
- 2016

We develop high order accurate source discretizations for hyperbolic wave propagation problems in first order formulation that are discretized by finite diâ†µerence schemes. By studying the Fourierâ€¦ (More)

- Johan F. Malmliden, N. Anders Petersson
- Math. Comput.
- 1996

We develop an efficient iterative method for computing the steady linearized potential flow around a submerged body moving in a liquid of finite constant depth. In this paper we restrict theâ€¦ (More)