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Theory and Modern Applications

Table 4 The endpoint average sample errors of method (6.2)–(6.7) for solving (6.1)

From: Continuous stage stochastic Runge–Kutta methods

h

2−5

2−6

2−7

2−8

2−9

method (6.2)

0.08955355

0.04394097

0.02231704

0.01162317

0.00584895

method (6.3)

0.08332414

0.04070979

0.02018808

0.01008743

0.00503145

method (6.4)

0.00981554

0.00459343

0.00228241

0.00116797

0.00058433

method (6.5)

0.06090075

0.03099001

0.01557490

0.00777261

0.00389402

method (6.6)

0.07178380

0.03655633

0.01846776

0.00928875

0.00465286

method (6.7)

0.04287447

0.02123069

0.01053777

0.00526784

0.00263307