Boundary Observability of Semi-Discrete Second-Order Integro-Differential Equations Derived from Piecewise Hermite Cubic Orthogonal Spline Collocation Method
暂无分享,去创建一个
[1] G. Fairweather,et al. Orthogonal spline collocation methods for partial di erential equations , 2001 .
[2] B. Belinskiy,et al. On controllability of a non-homogeneous elastic string with memory , 2011, 1110.6070.
[3] Uniform observability of the wave equation via a discrete Ingham inequality , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.
[4] Da Xu,et al. An ADI Crank–Nicolson Orthogonal Spline Collocation Method for the Two-Dimensional Fractional Diffusion-Wave Equation , 2014, J. Sci. Comput..
[5] Amiya K. Pani,et al. ADI orthogonal spline collocation methods for parabolic partial integro–differential equations , 2010 .
[6] Enrique Zuazua,et al. Discrete Ingham Inequalities and Applications , 2006, SIAM J. Numer. Anal..
[7] Luciano Pandolfi,et al. Boundary Controllability and Observability of a Viscoelastic String , 2012, SIAM J. Control. Optim..
[8] Graeme Fairweather,et al. Orthogonal spline collocation methods for some partial integrodifferential equations , 1992 .
[9] A. Ingham. Some trigonometrical inequalities with applications to the theory of series , 1936 .
[10] Tahar Zamène Boulmezaoud,et al. On The Eigenvalues of the Spectral Second Order Differentiation Operator and Application to the Boundary Observability of the Wave Equation , 2007, J. Sci. Comput..
[11] Enrique Zuazua,et al. Propagation, Observation, and Control of Waves Approximated by Finite Difference Methods , 2005, SIAM Rev..
[12] Enrique Zuazua,et al. Boundary obeservability for the space semi-discretization for the 1-d wave equation , 1999 .
[13] Boundary controllability and source reconstruction in a viscoelastic string under external traction , 2012, 1206.3034.
[14] Graeme Fairweather,et al. Fast direct solvers for piecewise Hermite bicubic orthogonal spline collocation equations , 1992 .
[15] Wayne R. Dyksen. Tensor product generalized ADI methods for separable elliptic problems , 1987 .
[16] Luciano Pandolfi. Traction, deformation and velocity of deformation in a viscoelastic string , 2012, ArXiv.
[17] Da Xu,et al. A backward euler orthogonal spline collocation method for the time‐fractional Fokker–Planck equation , 2015 .
[18] A. Haraux,et al. Séries lacunaires et contrôle semi-interne des vibrations d'une plaque rectangulaire , 1989 .
[19] P. Loreti,et al. Reachability problems for a class of integro-differential equations , 2010 .
[20] Graeme Fairweather,et al. Spline collocation methods for a class of hyperbolic partial integro-differential equations , 1994 .
[21] Graeme Fairweather,et al. Alternating Direction Implicit Orthogonal Spline Collocation Methods for an Evolution Equation with a Positive-Type Memory Term , 2007, SIAM J. Numer. Anal..