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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,(www.Sentencedict.com) 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(sentencedict.com), 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.