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Table 5 Sets of optimal coefficients for scheme 2 in three dimensions

From: A novel high accuracy finite-difference time-domain method

C

\(\alpha _{1}\)

\(\alpha _{2}\)

C

\(\alpha _{1}\)

\(\alpha _{2}\)

0.40

\(-\)0.16648

0.06796

0.71

\(-\)0.00393

0.06042

0.41

\(-\)0.15548

0.06759

0.72

0.00143

0.05794

0.42

\(-\)0.14527

0.06725

0.73

0.00637

0.05559

0.43

\(-\)0.13577

0.06693

0.74

0.01161

0.05301

0.44

\(-\)0.12691

0.06663

0.75

0.01552

0.05104

0.45

\(-\)0.11864

0.06634

0.76

0.01963

0.04891

0.46

\(-\)0.1109

0.06607

0.77

0.0222

0.04784

0.47

\(-\)0.10365

0.06581

0.78

0.02515

0.04646

0.48

\(-\)0.09687

0.06557

0.79

0.02764

0.04529

0.49

\(-\)0.0905

0.06535

0.80

0.02993

0.04416

0.50

\(-\)0.08451

0.06514

0.81

0.03206

0.04305

0.51

\(-\)0.0789

0.06496

0.82

0.03383

0.04211

0.52

\(-\)0.07359

0.06478

0.83

0.03576

0.04098

0.53

\(-\)0.06863

0.06465

0.84

0.03742

0.03997

0.54

\(-\)0.06398

0.06456

0.85

0.03896

0.03898

0.55

\(-\)0.05962

0.06452

0.86

0.03999

0.03829

0.56

\(-\)0.0556

0.06459

0.87

0.04039

0.038

0.57

\(-\)0.05287

0.06591

0.88

0.04273

0.03628

0.58

\(-\)0.05156

0.06823

0.89

0.04253

0.03632

0.59

\(-\)0.04956

0.06984

0.90

0.04238

0.03633

0.60

\(-\)0.0471

0.07089

0.91

0.04224

0.03633

0.61

\(-\)0.04481

0.07174

0.92

0.0421

0.03634

0.62

\(-\)0.04235

0.07224

0.93

0.04197

0.03635

0.63

\(-\)0.03979

0.07245

0.94

0.04184

0.03636

0.64

\(-\)0.03706

0.07237

0.95

0.04169

0.03638

0.65

\(-\)0.03422

0.07204

0.96

0.04154

0.03641

0.66

\(-\)0.03122

0.07146

0.97

0.04141

0.03643

0.67

\(-\)0.02792

0.07058

0.98

0.04132

0.03643

0.68

\(-\)0.02303

0.06878

0.99

0.04119

0.03645

0.69

\(-\)0.01612

0.06583

1.00

0.04106

0.03648

0.70

\(-\)0.00978

0.06305

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