Fast simulation of multi-dimensional wave problems by the sparse scheme of the method of fundamental solutions
暂无分享,去创建一个
Jun Lu | Ji Lin | Chein-Shan Liu | C. S. Chen | Chein-Shan Liu | Ji Lin | Jun-an Lu
[1] Ji Lin,et al. A new investigation into regularization techniques for the method of fundamental solutions , 2011, Math. Comput. Simul..
[2] Yijun Liu,et al. An adaptive fast multipole boundary element method for three-dimensional acoustic wave problems based on the Burton–Miller formulation , 2007 .
[3] Qing Huo Liu,et al. Higher-Order Numerical Methods for Transient Wave Equations , 2003 .
[4] Fawang Liu,et al. Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domains , 2015, J. Comput. Phys..
[5] Mahadevan Ganesh,et al. Particular solutions of 3D Helmholtz-type equations using compactly supported radial basis functions , 2000 .
[6] Gregory E. Fasshauer,et al. On choosing “optimal” shape parameters for RBF approximation , 2007, Numerical Algorithms.
[7] Ching-Shyang Chen,et al. Localized Method of Approximate Particular Solutions with Cole-Hopf Transformation for Multi-Dimensional Burgers Equations , 2014 .
[8] C. S. Chen,et al. Fast Solution for Solving the Modified Helmholtz Equation withthe Method of Fundamental Solutions , 2015 .
[9] K. Bathe,et al. Stability and accuracy analysis of direct integration methods , 1972 .
[10] C. S. Chen,et al. The closed-form particular solutions for Laplace and biharmonic operators using a Gaussian function , 2015, Appl. Math. Lett..
[11] Ji Lin,et al. The Method of Fundamental Solutions for Solving Exterior Axisymmetric Helmholtz Problems with High Wave-Number , 2013 .
[12] Guangming Yao,et al. A localized approach for the method of approximate particular solutions , 2011, Comput. Math. Appl..
[13] Robert Schaback,et al. Direct meshless kernel techniques for time-dependent equations , 2015, Appl. Math. Comput..
[14] Wen Chen,et al. A new scheme for the solution of reaction diffusion and wave propagation problems , 2014 .
[15] Y. Hon,et al. Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators , 2007 .
[16] Shmuel Rippa,et al. An algorithm for selecting a good value for the parameter c in radial basis function interpolation , 1999, Adv. Comput. Math..
[17] Wen Chen,et al. Author's Personal Copy Computers and Mathematics with Applications Local Method of Approximate Particular Solutions for Two-dimensional Unsteady Burgers' Equations , 2022 .
[18] Marjan Uddin,et al. On the selection of a good value of shape parameter in solving time-dependent partial differential equations using RBF approximation method , 2014 .
[19] V. D. Kupradze,et al. The method of functional equations for the approximate solution of certain boundary value problems , 1964 .
[20] Graeme Fairweather,et al. The method of fundamental solutions for elliptic boundary value problems , 1998, Adv. Comput. Math..
[21] Chia-Ming Fan,et al. Numerical solutions of two-dimensional flow fields by using the localized method of approximate particular solutions , 2015 .
[22] A. Cheng,et al. Polynomial particular solutions for certain partial differential operators , 2003 .
[23] Chein-Shan Liu. The Method of Fundamental Solutions for Solving the Backward Heat Conduction Problem with Conditioning by a New Post-Conditioner , 2011 .
[24] D. Young,et al. The Time-Marching Method of Fundamental Solutions for Multi-Dimensional Telegraph Equations , 2010 .
[25] D. E. Johnson. A proof of the stability of the Houbolt method. , 1966 .
[26] A. Tadeu,et al. Coupled BEM–MLPG acoustic analysis for non-homogeneous media , 2014 .
[27] Andrew J. Majda,et al. Absorbing Boundary Conditions for Numerical Simulation of Waves , 1977 .
[28] G. Arfken. Mathematical Methods for Physicists , 1967 .
[29] T. Reess,et al. Experimental and numerical study of shock wave propagation in water generated by pulsed arc electrohydraulic discharges , 2014 .
[30] A. Majda,et al. Absorbing boundary conditions for the numerical simulation of waves , 1977 .
[31] Ying-Te Lee,et al. Equivalence between the Trefftz method and the method of fundamental solution for the annular Green's function using the addition theorem and image concept. , 2009 .
[32] Y. Hon,et al. The method of fundamental solution for solving multidimensional inverse heat conduction problems , 2005 .
[33] C. Fan,et al. The method of approximate particular solutions for solving certain partial differential equations , 2012 .
[34] Yi Ji,et al. Numerical Investigation of Lateral and Axial Wave Propagation in Drill-Strings for Stability Monitoring , 2015 .