1. Wave equation downward and upward continuation filtering.

2. The singular point of the wave equation and the coupling between the plasma waves and the electromagnetic waves are discussed.

3. 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.

4. Chebychev spectral elements approximation of the acoustic wave equation first - order Clayton - Engquist - Majda absorbing boundary conditions was derived.

5. The special solution is found for an inhomogeneity wave equation if its free term presents in special forms of several kinds. A specific example is introduced.

6. Alternatively, one may utilize the wave equation and appropriate boundary conditions to yield a specific solution.

7. Chapter four, Blowup of solution of semilinear wave equation differential speeds.

8. The studying results show that the classical elastic wave equation of spherical wave is only true for fixed amplitude phase and described only kinematic equation of phase velocity.

9. Commonused the full elastic wave equation to carry out the numerical modeling of elastic wavefield only obtained a hybrid wavefield of P-wave and S-wave.

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10. A precise integration method was applied to solve wave equation.

11. The paper also gives the prospect of wave equation migration.

12. Higher-order antithetical couplets synchronization of gravity wave equation with the primary soud.

13. One simple solution which is easy to interpret is obtained by requiring that each term in the wave equation is separately zero.

14. In this limit the Einstein equation reduces to a linear wave equation.

15. The first section is concerned with simple systems, where an exact solution of the wave equation is possible.

16. An integral expression for the time domain output response of traveling wave (TW) electrooptic phase modulator is derived by using the scalar wave equation and Fourier transform technique.

17. Taking aim at solving the important velocity model problem in wave equation pre-stack depth migration, This paper studies the method and software of building 3D migration velocity model.

18. The qualitative theory of ordinary differential equations and numerical simulation method were employed to investigate the kink waves of a nonlinear quartic wave equation.

19. Usually the Dirac equation with zero static mass is regarded as the wave equation of neutrino.

20. This paper used centered difference to simulate the fluid movement in order to avoid lots of calculations in two dimension wave equation.

21. The theoretical analysis and experiments are made to prove the dynamic vibrations produced by the lugs of a paddle wheel and the wave equation is proposed.

22. This paper has given the global uniqueness theory of solutions for a class of inverse problem in 1-D Wave equation of hyperbolic type.

23. A weighted average implicit difference scheme for the two-dimensional wave equation is proposed and its unconditional stability is proved by use of Fourier analysis.

24. According to the variational principle for wave propagation, the elastic wave equation and the compressional and shear wave equations in a vertically inhomogeneous medium are developed.

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

26. A study of the propagation nature of the seismic wave shows that the wave equation migration method currently used incurs a neglectness of the influence of phase characteristic.

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

28. The global fast dynamics for the generalized symmetric regularized long wave equation is considered.

29. In this paper, Laplace transform is applied to solve a solution of mixed question which satisfies the second boundry condition of the wave equation.

30. In the second chapter, we will study the existence and uniqueness of the local generalized solution to the initial boundary value problem for a class of nonlinear wave equation of higher order.

31. Generally seismic pre - stacking for ward modeling was done by ray tracing or two - way wave equation algorithms.

32. The direct purpose of wave equation inversion is to solve for P and wave velocities.

33. We consider the initial value problems of forced quasilinear wave equation with nonlinear dissipation.

34. A solution of elastic wave equation:is studied in this paper. An analytic expression of solutions of the initial boundary value-problems is given.

35. A target-oriented layout designing method guided by wave equation forward modeling in complicated structure areas is proposed in this paper.

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

37. Fast Fourier Transform Algorithm is used to solve the wave equation and numerical calculation is made on the directional force seismic source. Its characteristics are also analysed.

38. It is a difficult point to teach the students solving the wave equation on finite interval by the reflection law of the wave.

39. First, response model in time domain of pile under the transient state of stimulated vibration is reduced according to damping wave equation, initial condition and boundary condition.

40. Then, common imaging point gathers in offset domain were respectively extracted based on a single square root operator and double square root operator wave equation migration.

41. In this paper, for solving the parameter problem of two dimensional wave equation, the method of Finite Element and the Pulse Spectrum Technique, i. e. the iterative process are used.

42. A new type of elastic rod wave equation, nonlinear hyperelastic rod wave equation, is researched.

43. By using pseudo differential operator, a wave equation can be split into a diffraction equation and a time shift equation.

44. If we start with elastic wave equation, surface wave energy can be considered as well.

45. Geometrical optics approach can only calculate the high frequency approach solution of drilling bit vibration source wave equation in non caustic area but it become invalid in caustic area.

46. Taking scalar wave equation and tunnel effect for example, the similarity of fiber optics to quantum mechanics was shown.

47. First, pile response model under the transient state of stimulated vibration in time domain is reduced according to damping wave equation, initial condition and boundary condition.

48. Starting from paraxial wave equation, analytical propagation expressions of hyperbolic secant pulsed beams with narrowband and broadband are derived.

49. Some nonclassical potential symmetry generators and group - invariant of heat equation and wave equation were determined.

50. In this paper, using FEM method to numerical simulate the elastic wave equation.

51. The plane-section assumption was not congruous in low strain dynamic tests on pipe piles, so the propagation of stress wave couldn't be expressed by 1D wave equation.

52. Wave equation time migration fails to image subsurface geological structure correctly in the case of obvious lateral seismic velocity variation.

53. This paper proves the existence of the time-periodic weak solution for a class of nonlinear wave equation of higher order by means of the critical point theory.

54. The study puts forward the precision difference solution to elastic wave equation, using staggered mesh random even rank, and formula for tilted contact surface's refraction blind zones.

55. 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.

56. We derive out frequency domain electromagnetic wave equation from Max well ? ? s equation and constitutive relation.

57. Using the group foliation method to solve the nonlinear wave equation.

58. 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.

59. The study puts forward the accurate difference method for elastic wave equation, using staggered mesh random even order, and formula for tilted contact surface's refraction blind zones.

60. Finally, the planar graphs of the traveling wave equation are simulated by using mathematical software MAPLE.

61. The derivation of the relationship between the paraxial wave equation and the complex source points is given and proved.

62. The attendant one - dimensional wave equation has mesmerizing harmonic properties.

63. An image restored by a recursive solution of traveling wave equation is natural to visual interpretation, without ringing effect and distortion emerging, but accumulated noise appears on it obviously.

64. With operator method, we factorize the wave equation of transversely isotropic media in F-K domain, aPPly the residual theorem to get the analytical solution of the Green's Function.

65. The mathematical models of this inverse problem are the vector Lam é equation and scale wave equation.

66. The wave equation having general forms of planar simple harmonic wave is deduced in this article. It is simple and accurate to solve wave equation by using this formula.

67. Introducing the complex viscoelastic modulus, visco-elastic wave equation has the similar form with elastic wave equation for harmonic wave motion, in case of linear viscoelastic.

68. By making use of the Vlasov distribution theory and the three dimensional wave equation of waveguide modes, the dispersion relation of scattered waves in Compton region is deduced.

69. In this paper, introduced the Differentiator Series Method to solve the five - dimensional wave equation problem.

70. By starting from the paraxial wave equation, the analytical expression of the ultrashort Hyperbolic Secant pulsed beam are deduced.

71. 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.

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

73. In order to solve the problem of amplitude errors caused by geometric spreading and incidence angle variations(), we propose a practical wave equation preserved-amplitude migration method.

74. Fast Fourier Transform Algorithm is used to solve the wave equation and numerical calculation is made on the directional force seismic source.

75. It is theoretically shown that this is a practical method for wave equation forward modeling because of its fast accurate operation and suitableness to complicated geological structure.

76. The total variation constraint item is added to the wave equation inversion objective functional, to improve the stability and the resolution of inversion.

77. In this pater, using parametric transform method direct derive soliton wave equation of loss optical fibers and elementary soliton solution.

78. 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.

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

80. First, phase-shift migration formula based on displacement field is derived from elastic wave equation of single component in displacement field.

81. For the axisymmetric modes, the first approximation of the eigen—value in the present paper is just the same one as that in our another two papers utilizing the scalar wave equation.

82. The Parabolic Equation method (PE) is an approximation of the wave equation, which models energy propagating in a cone centred on a preferred direction, the paraxial direction.

83. The paper carried out elastic wave equation decomposition in 3-D TTI medium from two ways: Thomsen weak anisotropic approximation and acoustic hypothesis approximation.

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

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

86. Through the analysis of this wave equation, we find there exists the skin effect in the superconductor, of which the skin depth is dependent on the wave frequency.

87. Then we prove the isometrical identity and inversion formula of the solution of the wave equation.