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Wan, Frederic Y. M.

An in-core finite difference method for separable boundary value problems on a rectangle. (English) Zbl 0264.65062

Studies appl. Math. 52, 103-113 (1973).
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Cited in 6 Documents

MSC:

65N06 Finite difference methods for boundary value problems involving PDEs
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
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References:

[1] Sissingh, Dynamics of rotors operating at high advance ratios, J. of Helicopter Society 13 pp 56– (1968)
[2] Wan, Linear partial differential equations with random forcing, Studies in Applied Mathematics 51 pp 163– (1972) · Zbl 0267.60067 · doi:10.1002/sapm1972512163
[3] Wan, A new method for linear dynamical problems in continuum mechanics with random loads, XIIIth International Congr. of Theor. and Appl. Mech., Moscow (1972)
[4] Lin, Probabilistic theory of structural dynamics (1967)
[5] Bolotin, Statistical Methods in Structural Mechanics (1969)
[6] Bolotin, Applications of methods of the theory of probability and the theory of reliability in calculations of structures (1971)
[7] Lynch, Tensor product analysis of partial difference equations, Bull. Amer. Math. Soc. 70 pp 378– (1964) · Zbl 0126.12704 · doi:10.1090/S0002-9904-1964-11105-8
[8] Bellman, Introduction to Matrix Analysis (1960)
[9] Orszag, Accurate solution of the Orr-Sommerfeld stability equation, J. Fluid Mech. 50 pp 689– (1971) · Zbl 0237.76027 · doi:10.1017/S0022112071002842
[10] Wilkinson, The Algebraic Eigenvalue Problem (1965) · Zbl 0258.65037
[11] Wan, The spatial correlation method and a time-varying flexible structure, AIAA-ASME Structural Dynamics and Materials Conference (1973)
[13] Gaonkar, Flapping response of lifting rotor blades to atmospheric turbulence, J. of Aircraft 6 pp 49– (1969) · doi:10.2514/3.44095
[14] Gaonkar, Stochastic properties of turbulence excited rotor blade vibration, AIAA Journal 9 pp 419– (1971) · doi:10.2514/3.6196
[15] Gaonkar, Comparison of two stochastic models for threshold crossing studies of rotor blade flapping vibration, AIAA paper 71-389, presented at Structural Dynamics and Materials Conf. (1971)
[16] Gaonkar, Interpolation of aerodynamic damping of lifting rotors in forward flight from measured response variance, J. of Sound and Vibration 18 pp 381– (1971) · doi:10.1016/0022-460X(71)90709-7
[17] Wan, Rotor blade response to random loads: a direct time-domain approach, AIAA Journal 11 pp 24– (1973) · doi:10.2514/3.50431
[18] Wan, Nonstationary response of linear time-varying dynamical systems to random excitation, J. Appl. Mech. 40 (1973) · Zbl 0272.70019 · doi:10.1115/1.3423000
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