### Table 1: Numerical integration of discontinuous and piece-wise continuous functions.

2003

"... In PAGE 10: ... The exact value of the integrals are: I[f] = 3/4 and I[f] = 1/2 for the jump function and the piece-wise linear function, respectively. In Table1 , the results obtained using Gauss quadrature are presented for different values of nsp. It is evident that Gauss quadrature rules prove to be inadequate for the integration of such functions.... In PAGE 33: ...33 List of Tables Table1 : Numerical integration of discontinuous and piece-wise continuous functions.... ..."

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### Table 3: Packet Throughput (Gbps) of piece-wise linear al- location for L3fwd16

2003

"... In PAGE 8: ...1). In Table3 , we compare REF BASE using fixed-size allo- cation against L ALLOC and P ALLOC which are OUR BASE augmented with linear and piece-wise linear allocation, re- spectively. We also show F ALLOC which uses fine-grain allocation keeping everything else the same as REF BASE.... ..."

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### Table 3: Packet Throughput (Gbps) of piece-wise linear al- location for L3fwd16

2003

"... In PAGE 8: ...1). In Table3 , we compare REF BASE using xed-size allo- cation against L ALLOC and P ALLOC which are OUR BASE augmented with linear and piece-wise linear allocation, re- spectively. We also show F ALLOC which uses ne-grain allocation keeping everything else the same as REF BASE.... ..."

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### Table 2. Error Measure for the Piece-Wise Warping Func- tion with Several Segments

2003

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### Table 18 . Density convergence study for the vortex evolution problem (4.22) for schemes with piece-wise parabolic (r = 3) reconstruction.

"... In PAGE 92: ... We use Ccfl = 0:45 for all runs. Table18 shows the convergence study for the ADER and WENO schemes with the piece-wise parabolic (r = 3) reconstruction. We present errors and convergence rates in L1 and L1 norm for cell averages of density.... In PAGE 96: ... We observe approximately sixth order of accuracy in both norms. For a flxed resolution the fourth order ADER schemes are more accurate than the schemes of Table18... ..."

### Table 4: Welfare and Efficiency Losses from Liability Limits (Piece-wise Linear Contract with 2 Kinks: Debt, Equity and Warrants)

"... In PAGE 32: ...(*) Table4 uses the following parametrizations.... ..."

### Table 6: Welfare and Efficiency Losses from Liability Limits (Piece-wise Linear Contract with 2 Kinks: Debt, Equity and Warrants)

"... In PAGE 34: ... (*) Table6 uses the following parametrizations. Firm size: I=50.... ..."

### Table 2: Density convergence study for the vortex evolution problem (27) at the output time t = 10. ADER schemes with piece-wise cubic (r = 4) reconstruction

2005

"... In PAGE 10: ... The WENO scheme is less accurate than the ADER schemes by a factor of two on coarse meshes and by a factor of three on the finest mesh. Table2 shows the convergence study for the fourth order ADER schemes with the higher-order piece-wise cubic (r = 4) reconstruction. We observe that approximately sixth order of accuracy in both norms.... ..."

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### Table 19 . Density convergence study for the vortex evolution problem (4.22) at the output time t = 10. ADER schemes with piece-wise cubic (r = 4) reconstruction

"... In PAGE 96: ... The observed difierence in accuracy between ADER and WENO schemes can be related to the more accurate time evolution method of the ADER approach as compared to the combination of the Rusanov ux and the TVD RK method in the WENO scheme. Table19 shows the convergence study for the fourth order ADER schemes with the higher-order piece-wise cubic (r = 4) reconstruction. We observe approximately sixth order of accuracy in both norms.... ..."

### Table 1: Density convergence study for the vortex evolution problem (27) at the output time t = 10. ADER and WENO schemes with piece-wise parabolic (r = 3) reconstruction.

2005

"... In PAGE 10: ... We use Ccfl = 0:45 for all runs. Table1 shows the convergence study for the ADER and WENO schemes with the piece-wise parabolic (r = 3) reconstruction. We present errors and convergence rates in L1 and L1 norm for cell averages of density.... In PAGE 10: ... We observe that approximately sixth order of accuracy in both norms. For a fixed resolution the fourth order ADER schemes are more accurate than the schemes of Table1 by a factor of ten. We also note, that the accuracy of the ADER-AD and ADER-HLLC schemes of the same order is very similar whereas the ADER-HLL schemes are slightly less accurate.... ..."

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