Table 1 Average relative reconstruction error over 100 simulations, as a function of the order of the method and number of levels in the multiscale approaches

2

1 level

.1624

.1624

.2039

.1961

.2464

.2306

.1819

.2328

2 levels

.1612

.1617

.1742

.1852

.2135

.2223

.1782

.2183

3 levels

.1699

.1615

.1513

.1778

.1745

.2149

.1776

.1975

4 levels

.2001

.1647

.1584

.1745

.1764

.2104

.2031

.2102

5

1 level

.0864

.0864

.0971

.0914

.1293

.1090

.1025

.1287

2 levels

.0858

.0857

.0761

.0838

.0946

.1004

.0987

.1172

3 levels

.0926

.0864

.0668

.0805

.0766

.0982

.1016

.1133

4 levels

.1100

.0894

.0742

.0801

.0828

.0981

.1186

.1276

10

1 level

.0543

.0542

.0509

.0480

.0694

.0572

.0690

.0841

2 levels

.0542

.0539

.0400

.0442

.0489

.0528

.0657

.0763

3 levels

.0589

.0547

.0359

.0430

.0399

.0522

.0694

.0776

4 levels

.0696

.0570

.0413

.0436

.0442

.0535

.0802

.0880