collocation discrete least square (cdls) method for elasticity problems

Multiple solutions of a nonlinear reactive transport model using least square pseudo-spectral collocation method

The recognition and the calculation of all branches of solutions of the nonlinear boundary value problems is difficult obviously. The complexity of this issue goes back to the being nonlinearity of the problem. Regarding this matter, this paper considers steady state reactive transport model which does not have exact closed-form solution and discovers existence of dual or triple solutions in so...

Stochastic conjugate gradient method for least-square seismic inversion problems

With the development of computational power, there has been an increased focus on data-fitting related seismic inversion techniques for high fidelity seismic velocity model and image, such as full-waveform inversion and least square migration. However, though more advanced than conventional methods, these data fitting methods can be very expensive in terms of computational cost. Recently, vario...

Discrete Collocation Method for Solving Fredholm Volterra Intergro-Differential Equations

discrete least square method (dlsm) for the solution of free surface seepage problem

a meshless method namely, discrete least square method (dlsm), is presented in the paper for the solution of free surface seepage problem. in this method computational domain is discredited by some nodes and then the set of simultaneous equations are built using moving least square (mls) shape functions and least square technique. the proposed method does not need any background mesh therefore ...

SPLINE COLLOCATION METHOD FOR SOLVING BOUNDARY VALUE PROBLEMS

The spline collocation method is used to approximate solutions of boundary value problems. The convergence analysis is given and the method is shown to have second-order convergence. A numerical illustration is given to show the pertinent features of the technique.  

Solving differential equations with least square and collocation methods

SOLVING DIFFERENTIAL EQUATIONS WITH LEAST SQUARE AND COLLOCATION METHODS by Katayoun Bodouhi Kazemi Dr. Xin Li, Examination Committee Chair Associate Professor of Mathematics University of Nevada, Las Vegas In this work, we first discuss solving differential equations by Least Square Methods (LSM). Polynomials are used as basis functions for first-order ODEs and then B-spline basis are introduc...