Results 111 to 120 of about 255 (142)
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Some Methods of Near-Minimax Approximation Using Laguerre Polynomials
SIAM Journal on Numerical Analysis, 1973A concept of “near-minimax by characterization” is introduced, which formalizes the idea of an approximation “virtually indistinguishable from minimax.” Certain simple weighted approximation methods and related telescoping procedures, based on orthogonal polynomials, are then discussed in this context.
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Laguerre spectral method with different basis functions
2015Abstract. In this paper a model has been solved using Laguerre spectral method with two different basis functions. Unlike classical method, all the boundary conditions will be satisfied using linear combination of Laguerre functions as basis functions. Numerical results show that using a new basis has less error and also leads to three diagonal matrix ...
BADERAN, Ali +2 more
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Forward seismic modeling by the spectral laguerre method
SEG Technical Program Expanded Abstracts 1998, 1998Summary The paper presents some efficient algorithms based on the spectral Laguerre approximations of temporal derivatives. The key to the efficiency of these algorithms is to construct new trial functions, which lead to the systems with sparse matrices.
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The Laguerre method for solving integro-differential equations
Journal of Computational Physics, 1985Integro-differential equations in the general form (1) \(dF(x,t)/dt=P(x)\otimes\) F(x,t) are considered, where the convolution \(\otimes\) is defined by P(x)\(\otimes\) \(F(x,t)=\int^{1}_{x}P(x/y)(F(y)/y)dy\), and x, t are independent variables. The Laguerre method for solving the equations (1) is implemented. This method is compared with other methods,
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Laguerre's iteration and the method of traces for eigenproblems
Christopher T. Lenard
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On optimal parameter of Laguerre's family of zero-finding methods
L.D. Petković +2 more
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Improving Laguerre's Method to Cope with Symmetry Pitfalls in Polynomial Root-Finding
Tien Chi Chen
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