### Table 5: Accuracy results for the one dimensional Laplace equation with ghost cells deflned by cubic extrapolation.

Cited by 5

### Table 1 The basic one-dimensional quadrature rule for cubic B-splines.

2000

"... In PAGE 19: ... A too small number of quadrature points leads to instabilities, in particular, when the quadrature points are not properly spaced; a high polynomial accuracy alone does not suffice. For the tensor- product third order B-splines described at the beginning of section 2, we had good experience with the tensor-product counterpart of the one-dimensional quadrature rule given by Table1 . This quadrature formula is exact for fifth order polynomials and assigns 52 or n = 25 quadrature points to each particle in two space dimensions.... ..."

Cited by 7

### Table 1: Results of five Metropolis methods on the one-dimensional mixture distribution.

"... In PAGE 12: ...he two short-cut Metropolis methods, the numbers of states averaged was 1.98 million and 2.16 million, but many of these states were copies of other states. The results are shown in Table1 . The rejection rate for Metropolis updates includes, for the short-cut methods, those that are not actually performed.... ..."

Cited by 1

### Table 1: Trade-off between query cost and update cost for one-dimensional techniques

"... In PAGE 3: ... In contrast, the original array A has the maximum query cost and minimum update cost. Table1 shows the analysis of other typical methods, whose query costs and update costs are between these two extremes. Note that the HRC [2] cube with a height of 2 is called the local prefix sum (LPS) cube [18].... ..."

### Table 2 shows that the discrete L1 di erence between the numerical solutions on a diagonal and parallel grid after 0:4 pore volumes injected increases when the spatial discretization parameters decrease. The increase in L1 di erence is caused by earlier breakthrough on the parallel grid and larger unphysical ngers on the diagonal grid as the grid is re ned. Also, di erent discretizations of the pressure equation gave qualitatively the same displacement mechanisms. The numerical methods for the pressure equations that have been tested include di erent mobility evaluations in the Yanosik and McCracken scheme and the Shubin and Bell [21] scheme. Two nite{di erence methods have been applied to the same problem. Assuming a one-dimensional numbering of the grid blocks, the discretization of the pressure equation reads

1999

"... In PAGE 14: ...HAUGSE, KARLSEN, LIE, AND NATVIG Table2 . The discrete L1 norms between the numerical solutions on a diagonal and parallel grid after 0:4 pore volumes injected for di erent spatial discretizations.... ..."

Cited by 4

### Tables 1 Effectivity and convergence rates predicted by the estimator for the first four modes of the one-dimensional beam, using linear elements . . . . . . . . . . . . . . . . . . 20

in Explicit A Posteriori Error Estimates for Eigenvalue Analysis of Heterogeneous Elastic Structures

2005

### Table 1. Effectivity and convergence rates predicted by the esti- mator for the first four modes of the one-dimensional beam, using linear elements

in Explicit A Posteriori Error Estimates for Eigenvalue Analysis of Heterogeneous Elastic Structures

2005

### Table 2. Effectivity and convergence rates predicted by the esti- mator for the first four modes of the one-dimensional beam, using quadratic elements

in Explicit A Posteriori Error Estimates for Eigenvalue Analysis of Heterogeneous Elastic Structures

2005

### Table 1. Maximum Simulated Likelihood Estimation Results for One Dimensional Integration

in Abstract Quasi-Random Maximum Simulated Likelihood Estimation of the Mixed Multinomial Logit Model

"... In PAGE 20: ... The important point to note, however, is that these are minor aberrations to the more stable general trend of reduced errors with higher draws. The results for one-dimensional integration ( Table1 ) indicate that with as few as 50 Halton draws, the error measures from the QMC method are smaller than from 1000 draws of the PMC method; those from 75 Halton draws are much smaller than from 2000 pseudo-random draws. Besides, the times to convergence for the QMC method are considerably lesser than for the PMC method.... In PAGE 31: ... Table1 . Maximum Simulated Likelihood Estimation Results for One Dimensional Integration Table 2.... ..."