TY - JOUR AU - Aydin, A. AU - Karasözen, B. PY - 2008 DA - 2008// TI - Symplectic and multisymplectic Lobato methods for the ‘good’ Boussinesq equation JO - J. Math. Phys. VL - 49 UR - https://doi.org/10.1063/1.2970148 DO - 10.1063/1.2970148 ID - Aydin2008 ER - TY - JOUR AU - Bratsos, A. PY - 2007 DA - 2007// TI - A second order numerical scheme for the solution of the one-dimensional Boussinesq equation JO - Numer. Algorithms VL - 46 UR - https://doi.org/10.1007/s11075-007-9126-y DO - 10.1007/s11075-007-9126-y ID - Bratsos2007 ER - TY - JOUR AU - Brugnano, L. AU - Gurioli, G. AU - Zhang, C. PY - 2019 DA - 2019// TI - Spectrally accurate energy-preserving methods for the numerical solution of the “good” Boussinesq equation JO - Numer. Methods Partial Differ. Equ. VL - 35 UR - https://doi.org/10.1002/num.22353 DO - 10.1002/num.22353 ID - Brugnano2019 ER - TY - JOUR AU - Cai, J. AU - Wang, Y. PY - 2013 DA - 2013// TI - Local structure-preserving algorithms for the “good” Boussinesq equation JO - J. Comput. Phys. VL - 239 UR - https://doi.org/10.1016/j.jcp.2013.01.009 DO - 10.1016/j.jcp.2013.01.009 ID - Cai2013 ER - TY - JOUR AU - Chen, M. AU - Kong, L. AU - Hong, Y. PY - 2018 DA - 2018// TI - Efficient structure-preserving schemes for good Boussinesq equation JO - Math. Methods Appl. Sci. VL - 41 UR - https://doi.org/10.1002/mma.4696 DO - 10.1002/mma.4696 ID - Chen2018 ER - TY - JOUR AU - Cheng, K. AU - Feng, W. AU - Gottlieb, S. AU - Wang, C. PY - 2014 DA - 2014// TI - A Fourier pseudo-spectral method for the ‘good’ Boussinesq equation with second order temporal accuracy JO - Numer. Methods Partial Differ. Equ. VL - 31 UR - https://doi.org/10.1002/num.21899 DO - 10.1002/num.21899 ID - Cheng2014 ER - TY - CHAP AU - Chertock, A. AU - Christov, C. I. AU - Kurganov, A. PY - 2011 DA - 2011// TI - Central-upwind schemes for the Boussinesq paradigm equation BT - Computational Science and High Performance Computing IV UR - https://doi.org/10.1007/978-3-642-17770-5_20 DO - 10.1007/978-3-642-17770-5_20 ID - Chertock2011 ER - TY - JOUR AU - Christou, M. AU - Christov, C. I. PY - 2007 DA - 2007// TI - Fourier–Galerkin method for 2D solitons of Boussinesq equation JO - Math. Comput. Simul. VL - 74 UR - https://doi.org/10.1016/j.matcom.2006.10.002 DO - 10.1016/j.matcom.2006.10.002 ID - Christou2007 ER - TY - CHAP AU - Christov, C. PY - 1996 DA - 1996// TI - Conservative difference scheme for Boussinesq model of surface water BT - Proc. ICFD 5 PB - Oxford University Press CY - London ID - Christov1996 ER - TY - JOUR AU - Christov, C. I. PY - 2001 DA - 2001// TI - An energy-consistent dispersive shallow-water model JO - Wave Motion VL - 34 UR - https://doi.org/10.1016/S0165-2125(00)00082-2 DO - 10.1016/S0165-2125(00)00082-2 ID - Christov2001 ER - TY - JOUR AU - Christov, C. I. AU - Velarde, M. PY - 1994 DA - 1994// TI - Inelastic iteration for Boussinesq solutions JO - Int. J. Bifurc. Chaos VL - 4 UR - https://doi.org/10.1142/S0218127494000800 DO - 10.1142/S0218127494000800 ID - Christov1994 ER - TY - JOUR AU - Frutos, J. AU - Ortega, T. AU - Sanz-Serna, J. M. PY - 1991 DA - 1991// TI - Pseudospectral method for the “good” Boussinesq equation JO - Math. Comput. VL - 57 ID - Frutos1991 ER - TY - JOUR AU - Hairer, E. AU - Lubich, C. AU - Wanner, G. PY - 2003 DA - 2003// TI - Geometric numerical integration illustrated by the Störmer–Verlet method JO - Acta Numer. VL - 12 UR - https://doi.org/10.1017/S0962492902000144 DO - 10.1017/S0962492902000144 ID - Hairer2003 ER - TY - BOOK AU - Hairer, E. AU - Lubich, C. AU - Wanner, G. PY - 2006 DA - 2006// TI - Geometric Numerical Integration (Structure-Preserving Algorithms for Ordinary Differential Equations) PB - Springer CY - Berlin ID - Hairer2006 ER - TY - JOUR AU - Huang, L. AU - Zeng, W. AU - Qin, M. PY - 2003 DA - 2003// TI - A new multisymplectic scheme for nonlinear ‘good’ Bousinesq equation JO - J. Comput. Math. VL - 21 ID - Huang2003 ER - TY - JOUR AU - Kolkovska, N. PY - 2010 DA - 2010// TI - Two families of finite difference schemes for a multidimensional Boussinesq equation JO - AIP Conf. Proc. VL - 1301 UR - https://doi.org/10.1063/1.3526638 DO - 10.1063/1.3526638 ID - Kolkovska2010 ER - TY - CHAP AU - Kolkovska, N. PY - 2011 DA - 2011// TI - Convergence of finite difference schemes for a multidimensional Boussinesq equation BT - Numerical Methods and Applications. NMA 2010 ID - Kolkovska2011 ER - TY - JOUR AU - Kolkovska, N. PY - 2013 DA - 2013// TI - Four level conservative finite difference schemes for Boussinesq paradigm equation JO - AIP Conf. Proc. VL - 1561 UR - https://doi.org/10.1063/1.4827215 DO - 10.1063/1.4827215 ID - Kolkovska2013 ER - TY - JOUR AU - Kolkovska, N. AU - Dimova, M. PY - 2012 DA - 2012// TI - A new conservative finite difference scheme for Boussinesq paradigm equation JO - Cent. Eur. J. Math. VL - 10 UR - https://doi.org/10.2478/s11533-012-0011-0 DO - 10.2478/s11533-012-0011-0 ID - Kolkovska2012 ER - TY - JOUR AU - McLachlan, R. PY - 1994 DA - 1994// TI - Symplectic integration of Hamiltonian wave equations JO - Numer. Math. VL - 66 UR - https://doi.org/10.1007/BF01385708 DO - 10.1007/BF01385708 ID - McLachlan1994 ER - TY - JOUR AU - Mehdi, D. AU - Rezvan, S. PY - 2012 DA - 2012// TI - A meshless based numerical technique for traveling solitary wave solution of Boussinesq equation JO - Appl. Math. Model. VL - 36 UR - https://doi.org/10.1016/j.apm.2011.07.075 DO - 10.1016/j.apm.2011.07.075 ID - Mehdi2012 ER - TY - JOUR AU - Ortega, T. AU - Sanz-Serna, J. M. PY - 1990 DA - 1990// TI - Nonlinear stability and convergence of finite-difference methods for the “good” Boussinesq equation JO - Numer. Math. VL - 58 UR - https://doi.org/10.1007/BF01385620 DO - 10.1007/BF01385620 ID - Ortega1990 ER - TY - JOUR AU - Pani, A. AU - Saranga, H. PY - 1997 DA - 1997// TI - Finite element Galerkin method for the “good” Boussinesq equation JO - Nonlinear Anal., Theory Methods Appl. VL - 29 UR - https://doi.org/10.1016/S0362-546X(96)00093-4 DO - 10.1016/S0362-546X(96)00093-4 ID - Pani1997 ER - TY - BOOK AU - Samarsky, A. PY - 2001 DA - 2001// TI - The Theory of Difference Schemes PB - Dekker CY - New York UR - https://doi.org/10.1201/9780203908518 DO - 10.1201/9780203908518 ID - Samarsky2001 ER - TY - JOUR AU - Wang, S. AU - Chen, G. PY - 2006 DA - 2006// TI - Cauchy problem of the generalized double dispersion equation JO - Nonlinear Anal., Theory Methods Appl. VL - 64 UR - https://doi.org/10.1016/j.na.2005.06.017 DO - 10.1016/j.na.2005.06.017 ID - Wang2006 ER - TY - JOUR AU - Yan, J. AU - Zhang, Z. PY - 2016 DA - 2016// TI - New energy-preserving schemes using Hamiltonian boundary value and Fourier pseudospectral methods for the numerical solution of the “good” Boussinesq equation JO - Comput. Phys. Commun. VL - 201 UR - https://doi.org/10.1016/j.cpc.2015.12.013 DO - 10.1016/j.cpc.2015.12.013 ID - Yan2016 ER - TY - JOUR AU - Zhang, C. AU - Huang, J. AU - Wang, C. AU - Yue, X. PY - 2018 DA - 2018// TI - On the operator splitting and integral equation preconditioned deferred correction methods for the “good” Boussinesq equation JO - J. Sci. Comput. VL - 75 UR - https://doi.org/10.1007/s10915-017-0552-2 DO - 10.1007/s10915-017-0552-2 ID - Zhang2018 ER -