In this paper, we use the flux ENO scheme for the multiresolution scheme and simplify the original scheme based on the cell average ENO. As it is well known that the present scheme may will not be conservative at disc...
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In this paper, we use the flux ENO scheme for the multiresolution scheme and simplify the original scheme based on the cell average ENO. As it is well known that the present scheme may will not be conservative at discontinuities, but numerical solutions are acceptable in practice.
Do-loop unrolling is an effective technique for improving performance of applicistion programs. This paper presents a method for unrolling nested Fortran DO-loops using the m4 macro language. m4 is a macro processor w...
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Do-loop unrolling is an effective technique for improving performance of applicistion programs. This paper presents a method for unrolling nested Fortran DO-loops using the m4 macro language. m4 is a macro processor widely available on UNIX platforms. By using carefully designed m4 macros, Do-loop unrolling becomes much simpler. More over, with this method, code can be written for general ullrolling parameters, allowing the program to be easily tuned bn different computers to reach optimal performance.
The generalized Stein-Rosenberg type theorem is established for the parallel decomposition-type accelerated overrelaxation method (PDAOR-method) for solving the large scale block systems of linear equations. This ther...
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The generalized Stein-Rosenberg type theorem is established for the parallel decomposition-type accelerated overrelaxation method (PDAOR-method) for solving the large scale block systems of linear equations. This thereby affords reliable criterions for judging the convergence and divergence, as well as the convergence rate and divergence rate, of this PDAOR-method.
In this paper, we study the acoustic impedance inversion of 1-dimensional wave equation excited by a wavelet. In order to avoid the ill-posedness, a stable method,which we call the characteristic band method, is const...
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In this paper, we study the acoustic impedance inversion of 1-dimensional wave equation excited by a wavelet. In order to avoid the ill-posedness, a stable method,which we call the characteristic band method, is constructed, and then used as the preconditioner in optimal inversion to increase the speed of convergence.
In this paper,we discuss a Schwarz alternating method for a kind of unboundeddomains, which can be decomposed into a bounded domain and a half-planar domain. Finite Element Method and Natural Boudary Reduction are use...
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In this paper,we discuss a Schwarz alternating method for a kind of unboundeddomains, which can be decomposed into a bounded domain and a half-planar domain. Finite Element Method and Natural Boudary Reduction are used alternatively. The uniform geometric convergence of both continuous and discrete problems is proved. The theoretical results as well as the numerical examples show thatthe convergence rate of this discrete Schwarz iteration is independent of the finiteelement mesh size, but dependent on the overlapping degree of subdomains.
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