SCOPUS 정보 검색 플랫폼

Volumn 143, Issue 1, 2002, Pages 127-139

A note on stability of pseudospectral methods for wave propagation

Author keywords

Absorbing boundary conditions; Eigenvalue stability; Hyperbolic systems; Pseudospectral Chebyshev method; Runge Kutta methods; Wave equation

Indexed keywords

ACOUSTIC WAVES; ALGORITHMS; ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; CHEBYSHEV APPROXIMATION; WAVE PROPAGATION;

PSEUDOSPECTRAL METHODS;

DIFFERENTIAL EQUATIONS;

BOUNDARY CONDITIONS; MATHEMATICAL METHOD; WAVE PROPAGATION;

EID: 0036608767 PISSN: 03770427 EISSN: None Source Type: Journal
DOI: 10.1016/S0377-0427(01)00495-2 Document Type: Article

Times cited : (13)

References (20)

1
- 0039982139
- The errors in calculating the pseudospectral differentiation matrices for Chebyshev-Gauss-Lobatto points
- (1999) Comput. Math. Appl , vol.68 , pp. 1109-1120
- Baltensperger, R.¹ Berrut, J.P.²

2
- 28044459877
- A perfectly matched layer for absorption of electromagnetic waves
- (1994) J. Comput. Phys , vol.114 , pp. 185-200
- Berenger, J.P.¹

3
- 0003224957
- The numerical analysis of ordinary differential equations
- Wiley, Chichester, New York
- (1987) Runge-Kutta and General Linear Methods
- Butcher, J.C.¹

5
- 0000681266
- Absorbing boundary conditions for acoustic and elastic wave equations
- (1977) Bull. Seismol. Soc. Am , vol.67 , pp. 1524-1540
- Clayton, R.¹ Engquist, B.²

6
- 0030120737
- Pseudospectra of the wave operator with an absorbing boundary
- (1996) J. Comp. Appl. Math , vol.69 , pp. 125-142
- Driscoll, T.A.¹ Trefethen, L.N.²

7
- 84966247397
- Generation of finite difference formulas on arbitrarily spaced grids
- (1988) Math. Comp , vol.51 , pp. 699-706
- Fornberg, B.¹

8
- 0003583110
- Cambridge University Press, Cambridge
- (1996) A Practical Guide to Pseudospectral Methods
- Fornberg, B.¹

9
- 0024102561
- Wide-angle one-way wave equations
- (1988) J. Acoust. Soc. Am , vol.84 , pp. 1397-1404
- Halpern, L.¹ Trefethen, L.N.²

10
- 0001241567
- A stable penalty method for the compressible Navier Stokes equations. I. Open boundary conditions
- (1996) SIAM J. Sci. Comput , vol.17 , pp. 579-612
- Hesthaven, J.S.¹ Gottlieb, D.²

11
- 84966222177
- Absorbing boundary conditions for difference approximations to the multi-dimensional wave equation
- (1986) Math. Comp , vol.47 , pp. 437-459
- Higdon, R.L.¹

12
- 0002618740
- Numerical absorbing boundary conditions for the wave equation
- (1987) Math. Comp , vol.49 , pp. 65-90
- Higdon, R.L.¹

14
- 11744350396
- Free space boundary conditions for the time respondent wave equation
- (1975) J. Comput. Phys , vol.18 , pp. 66-78
- Lindman, E.L.¹

15
- 0001736124
- Absorbing boundary conditions, difference operators, and stability
- (1992) J. Comput. Phys , vol.102 , pp. 236-251
- Renaut, R.A.¹

16
- 0031373157
- Stability of Chebyshev pseudospectral solution of the wave equation with absorbing boundaries
- (1997) J. Comput. Appl. Math , vol.87 , pp. 243-259
- Renaut, R.A.¹

17
- 0030584598
- A pseudospectral Chebyshev method for the 2-D wave equation with domain stretching and absorbing boundary conditions
- (1996) J. Comput. Phys , vol.124 , pp. 324-336
- Renaut, R.A.¹ Fröhlich, J.²

18
- 0025448395
- Lax-stability of fully discrete spectral methods via stability regions and pseudo-eigenvalues
- (1990) Comput. Meth. Appl. Mech. Eng , vol.80 , pp. 147-164
- Reddy, S.C.¹ Trefethen, L.N.²

19
- 0003205076
- Lax-stability vs. eigenvalue stability of spectral methods
- K.W. Morton, M.J. Baines (Eds.), Clarendon Press, Oxford
- (1988) Numerical Methods for Fluid Dynamics III
- Trefethen, L.N.¹

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.