1. In addition, Fourier finite difference operator is optimized desirably.

2. Characteristic solution and finite difference solution to the model are derived respectively and water saturation distribution curves are presented.

3. A finite difference method is proposed for a nonlinear diffusive model.

4. It can be implemented by simple finite difference scheme with a significantly larger time step.

5. A numeral method of computing synthetic seismogram, finite difference method is introduced,[http:///finite difference.html] which can be used to calculate Lamb problem in vertical inhomogeneous media.

6. This method can be combined with various methods finite difference equation.

7. By using finite difference method, the derived equation was solved coupling with energy conservation equations.

8. A generalized program based on finite difference method is proposed for simulating the solidification front of large castings.

9. With finite difference approximation, the space and time step size was solved to ensure the convergency of finite difference approximation.

10. Secondly, three migration methods including Kirchhoff integral, 15? Finite difference and Wave equation phase displacement are discussed with the steps of performing on computer.

11. In the article, the fully discrete finite difference scheme for a special nonlinear reaction-diffusion equation is established.

12. A fractional-step implicit finite difference scheme is introduced for two-dimensional equations of heat conduction with three temperatures.

13. On the basis of the variational method, a finite difference solution is presented for shear lag effect in Qiantang River Bridge with box section of varying depth.

14. Numerical calculation is based on the basic wave equations with the method of finite difference time domain in oblate spheroidal coordinate system.

15. Aiming at the N-S disturber equation of 2D incompressible boundary layer on flat plate, a high precision compact finite difference method is proposed, which applied the spatial model.

16. The acoustical wave equation is presented a serial spatial and time iterative equations and room acoustics field is simulated using finite difference time domain method.

17. In order to obtain the stresses on the boundary, the 2nd finite difference approach equation for the constant element is derived as well.

18. The single prestressed bar mechanism is numerically analyzed through CABLE element in finite difference method FLAC 2 D.

19. This paper objects to this problem in the method of finite difference time domain ( FDTD ).

20. Finally, long - time stability and convergence of the finite difference scheme is proved.

21. The consolidation equations were discretized using Crank - Nicolson finite difference form to facilitate solving them.

22. This article deals with the numerical simulation technology of seismic wave based upon elastic wave equation with high-order, staggered-grid finite difference technology.

23. A 2-D tidal flow mathematical model of Xinghua Bay based on irregular triangular grid finite difference method was set up and numerical simulation of tidal flow field was carried out.

24. Based on the deep foundation pit of line 3 in Shenzhen metro, using the method of finite difference, established FLAC3D numerical model.

25. Then the new step function space is introduced and stability problem for the finite difference scheme is discussed by means of variational approximation method.

26. Then the new function space is introduced and the stability problem for the finite difference scheme is discussed by means of variational approximation method in this function space.

27. This method is based on the use of an "equivalent element medium" and the finite difference operator for an unsymmetrical star in anisotropic media.

28. The precise integration method is more stable than the finite difference method.

29. The influence of the ridge position on the cutoff wavelength of the dominant mode in asymmetric single ridge waveguide is analyzed by finite difference method.

30. The dispersion performance of photonic crystal fiber (PCF) with a hybrid core is investigated by the method of finite difference (FD).

31. A method for elastoplastic stress analysis based on photoplasticity and finite difference iteration was proposed for full field analysis, in which only a small number of data input were required.

32. More practical ray tracing methods currently include the wavefront method, the shortest path method, the travel time epenthesis method, the eikonal equation finite difference method, etc.

33. It is briefly introduced that three-dimensional finite difference numerical equation is built according to Darcy's law and water equilibrium principle.

34. The concept of extended boundary node was presented. By using finite difference method,[http:///finite difference.html] the solution of the gained difference equations was given and simulated by computer.

35. A kind of fractional steps finite difference scheme is introduced to solve two dimensional equations of heat conduction with three temperature.

36. The buckling critical load is calculated with finite difference method.

37. Fourier finite difference operator can be adopted to ensure good fidelity of seismic wave field in wave field continuation of complicated geology structure, bringing high quality image.

38. The finite difference beam propagation method ( FD - BPM ) is used to design a device of 66 % MMI - converter - Combiners.

39. The finite difference scheme — ADI method is used to solve the seepage field model.

40. The data were processed by means of both finite difference inversion and refractor wavefront imaging technique in terms of Hagedoorn principle and the fine upper crustal structure was determined.

41. Compared with the finite difference method, this method has the features of cleavability in physical concept and simplicity in algorithm.

42. Finite difference method was applied and truncated boundary condition was introduced to reduce computation cost.

43. The groundwater flow is simulated with the seepage model of heterogeneity isotrope, and the partial differential equations are solved with finite difference scheme of irregular triangle net.

44. A type of low-dissipation and low-dispersion high-order finite difference scheme is studied for computation of wave motion.

45. Effect of threedimensional topography on earthquake ground motion is studied from the point of view of progressiVe wave by means of finite difference method.

46. Based on the finite difference solution of wave equation, a formula for the stress waves and the pile integrality at varied section was stated.

47. In the paper, a three-dimension finite difference scheme is presented to examine the stresses fields in the vicinity of a free rectangular corner of al aminate subjected to a thermal loading.

48. The total internal reflection and the system of photon scanning tunneling microscope (PSTM) are simulated using finite difference time domain (FDTD) method.

49. The design sensitivities are evaluated via the finite difference approximation, and optimization problem ...

50. Finally, the finite difference scheme was interpreted by a discrete random walk model under a certain condition.

51. A new technique is given here, which combines partial algorithm with scanning algorithm and obtains wave arrival times by solving eikonal equation with the use of finite difference method.

52. Finite difference method code integrity, and can be used directly.

53. The method is at least one order of magnitude more efficient than conventional finite difference scheme and 3 to 5 times more efficient than pseudospectral method.

54. Natural frequency of transverse vibration of the grinding block holder was obtained, according to the finite difference equations of grinding block holder. K was revised by extrapolation method.

55. The fitting in MLS instead of interpolation in finite difference method (FDM) makes the solution more continuous in the whole space domain without any loss of accuracy.

56. Chapter one studied the finite difference methods of a class of high-order wave equations?

57. The result of the finite difference solution represented that the pore gas pressure in the landfill was influenced by the depth, time and permeability.

58. It is shown that this approach much more efficient than the conventional one, such as energy method, moment-area method, method of superposition and finite difference method.

59. According to geologic model of unsteady groundwater flow in heterogeneous medium and adopting the finite difference solution, the direction and strength of oil gas migration can be quantified.

60. Characteristic solution and finite difference solution are derived respectively and water saturation distribution curves are presented and the law of the moving boundary is found.

61. The finite difference technique is used to simulate the electric field and the electron trajectories in a field-emission display device (FED) with flat form cathode.

62. The finite difference equations was deduced using three dimensional control volume method.

63. Finite Difference Method ( FDM ) is usually used for calculating the temperature field of casting solidification processes.

64. In this paper, we deduced the 2D transverse isotropic porous medium wave propagation equations, and used the finite difference method to calculate.

64. is a online sentence dictionary, on which you can find nice sentences for a large number of words.

65. A numerical method of 3 D unsteady transonic flows about rotary wings is proposed. The small disturbed potential equation is solved by using the finite difference method.

66. Based on the heat - transfer equations, computations were worked out through the use of finite difference method.

67. Obtained accurate and sustained solution of the model by finite difference method.

68. A numerical approach based on finite difference time domain(FDTD) method was presented for investigating the diffraction effect of a metal grating fabricated in QWIP.

69. The time difference equation derived from unsaturated flow equation can be approximated by Galerkin finite element or finite difference method for space coordinate derivatives.

70. In this paper, the discrete solution are generated by an upwind finite difference scheme and the grid is formed by equidistributing a monitor function based on arc-length.

71. The stability equations are solved to determine the eigenvalues using a two point fourth order accuracy finite difference scheme.

72. A finite difference solution of the diurnal and semidiurnal tides and tidal currents in the Korea Strait is obtained with satisfactory agreement to the observed distribution.

73. An error matching principle, which is base on the error analysis of the computations with high-aspect-ratio grids, is derived for the finite difference simulation of the viscous boundary layer flows.

74. The flow field in this reactor was computed by means of finite difference method.

75. A finite difference method is used to calculate for this model.

76. In this paper the effect of difference step in finite difference method of transient temperature field on computing error is analyzed.

77. In forward modeling, seismic soiree is simulated by giving displacement boundary condition in form of time function. The migration algorithm is alike to that in finite difference method.

78. In this paper, the numerical methods, issues and development for aeroacoustics, were described, including finite difference scheme, boundary conditions and nonlinear acoustics and shocks.

79. This includes the existence - uniqueness of finite difference solution and the convergence of finite difference solutionsolution.

80. In general, the finite difference scheme and SIMPLE procedure are used in numerical solution of turbulent model.

81. In this article, a finite difference solution using offset meshes is derived for "entire-tangent" TDEFIE.

82. The article provides a new way of site response analysis using staggered - grid finite difference approach.

83. By way of adopting elastic wave equation and finite difference approximation calculating method, the numerical simulation of VSP synthetic record is realized in the paper.

84. The finite difference depth migration equation in space-frequency domain can be derived when the radical expression is approximated by continued fraction.

85. Highly precise solutions both in time and in space can be reached by solving wave equation with high order finite difference scheme of staggered grid under the condition of stability.

86. Operator-splitting techniques were used for the reactive transport model with an implicit upwind finite difference scheme to solve the convection-dispersion equations.

87. Finite difference method is presented to simulate transverse vibrations of an axially moving string.

88. A numerical method based on finite difference technique is proposed in this paper for the solution of uncouple turbulent pipe flow and convection heat transfer.

89. The distributed static capacitance of the dipole antenna was solved by finite difference method. The influences of the antenna configuration coefficients on the distributed capacitance were analyzed.

90. For improving convergence accuracy of the solutions, a variable relaxation factor is used and a higher order finite difference scheme is developed.

91. The finite difference procedure is based on the methods of characteristic difference and bilinear interpolation. The convergence analysis based on the max-norm estimates is proved.

92. The proposed finite difference boundary condition expands the scope of application of FDTD to scattering problems of objects with a finite acoustic impedance but without tangential stress.

93. The analysis show that the finite difference method based on the free boundary problem and the laplace method based on the free boundary problem are two good numerical methods.

94. Finally, the boundary treatment of the compact finite difference scheme is discussed and compared with the numerical result with periodic boundary conditions.

95. By using a full - hidden finite difference method a numerical calculation was conducted of the above-cited model.

96. The paper predicts the changing tendency of groundwater resource in Changma alluvial fan by numerical modeling, applying the method of finite difference and irregular polygon cells.

97. A finite difference frequency domain method(FDFD) is presented to analyze the propagation characteristics of waveguides with imperfect conductor and rough surface.

98. Theory of finite element method and finite difference method for BFIA are briefly discussed.

99. In numerical wave simulation of finite difference for acoustic wave equation, due to the limitation of computer model,[] there inevitably exists strong artificial boundary reflection.

100. However, the application of the finite difference method (FDM) and its error are discussed, and the improved extrapolation formula is derived in this paper.

101. The energy equations of the oil film and the bush are solved simultaneously by using an efficient finite difference scheme.

102. We use finite difference method to solve electromagnetic wave equation.

103. The symplectic preservation of the finite difference scheme is considered, however,() the projection operation onto the constraint manifold still brings problems.

104. Maxwell's equations can be discretized finite difference time domain ( FDTD ) to simulate ground penetrating radar ( GPR ).

105. In 2-D wave equation forward modeling, we have deducted the finite difference operator with different order precision, and discussed stability of difference scheme and boundary condition.

106. The finite difference methods based on acoustic or elastic wave equation are very useful tools for wave-field numerical modeling or VSP data synthesizing.

107. This paper extends the theoretical model and application scope of multi-stage compound option and path-dependent option using Finite Difference Method and Finite Element Method.

108. In this thesis, starting from the variation model, the finite difference scheme of the boundary problem was constructed with FDM based on the principle of variation.

109. The unsteady supercavity shape and length is calculated by using the finite difference time discretization when cavitation number changes.

110. Upward wave equation datum correction by finite difference scheme from complex surface.

111. The objective function can be built based on the finite difference modeling for the wave equation.

112. Based on the characteristics of the physical variables, the boundary near centerline is extended so that a high order finite difference scheme can be utilized as at inner mesh points.

113. D static behavior BHA has been analyzed with finite difference method in this paper.

114. To improve the accuracy of the numerical evaluation through the 3D finite difference method, the surface boundary conditions are added to modifying the old program.

115. MEI is an effective numerical method to truncate finite difference mesh.