Hyperboloidal layers for hyperbolic equations on unbounded domains

R. Penrose, Asymptotic properties of fields and space-times, Phys. Rev. Lett. 10 (1963) 66–68

1963

Earlier work this paper cites.

R. Penrose, Zero rest-mass fields including gravitation: Asymptotic behaviour, Proc. Roy. Soc. Lond. A284 (1965) 159–203

1965

Earlier work this paper cites.

H. O. Kreiss and J. Oliger, Methods for the approximate solution of time dependent problems, International Council of Scientific Unions, World Meteorological Organization, Geneva, 1973

1973

Earlier work this paper cites.

C. E. Grosch and S. A. Orszag, Numerical solution of Problems in Unbounded Regions: Coordinate Transforms, J. Comput. Phys. 25 (1977) 273–296

1977

Earlier work this paper cites.

R. Geroch, Asymptotic structure of space-time, in: F. Esposito, L. Witten (Eds.), Asymptotic Structure of Space-Time, Plenum Press, 1977, pp. 1–105

1977

Earlier work this paper cites.

D. M. Eardley and L. Smarr, Time functions in numerical relativity: Marginally bound dust collapse, Phys. Rev. D 19 (1979) 2239–2259

1979

Earlier work this paper cites.

H. Friedrich, Cauchy problems for the conformal vacuum field equations in general relativity, Comm. Math. Phys. 91 (1983) 445–472

1983

Earlier work this paper cites.

R. M. Wald, General relativity, The University of Chicago Press, Chicago, 1984

1984

Earlier work this paper cites.

J.-P. Bérenger, A perfectly matched layer for the absorption of electromagnetic waves, J. Comput. Phys. 114 (1994) 185–200

1994

Cited alongside, same era.

W. C. Chew and W. H. Weedon, A 3D perfectly matched medium from modified Maxwell’s equations with stretched coordinates, Microwave and Optical Technology Letters 7 (1994) 599–604

1994

Cited alongside, same era.

S. Abarbanel and D. Gottlieb, A mathematical analysis of the PML method, J. Comput. Phys. 134 (1997) 357–363

1997

Cited alongside, same era.

H. Friedrich, Conformal Einstein evolution, Lect. Notes Phys. 604 (2002) 1–50

2002

Cited alongside, same era.

E. Bécache, S. Fauqueux, and P. Joly, Stability of perfectly matched layers, group velocities and anisotropic waves, J. Comput. Phys. 188 (2003) 399–433

2003

Cited alongside, same era.

J. Szeftel, A nonlinear approach to absorbing boundary conditions for the semilinear wave equation, Math. Comput. 75 (2006) 565–594

2006

Later among the works it cites.

D. Appelö, T. Hagstrom, and G. Kreiss, Perfectly matched layers for hyperbolic systems: General formulation, well-posedness, and stability, SIAM Journal on Applied Mathematics 67 (1) (2006) 1–23

2006

Later among the works it cites.

T. Hagstrom and S. Lau, Radiation boundary conditions for Maxwell’s equations: A review of accurate time-domain formulations, J. Comput. Math. 25 (2007) 305–336

2007

Later among the works it cites.

A. Zenginoğlu, Hyperboloidal foliations and scri-fixing, Class. Quant. Grav. 25 (2008) 145002

2008

Later among the works it cites.

A. Zenginoğlu, A hyperboloidal study of tail decay rates for scalar and Yang-Mills fields, Class. Quant. Grav. 25 (2008) 175013

2008