1. The computer aided design method bud on boundary integral equation is presented for small slotted planar array.

2. And then the eigenvalue problem of integral equation is transformed into the standard eigenvalue problem of a positive definite matrix with infinite order.

3. The electromagnetic field integral equation in the quasi-optical cavity is obtained using the dyadic Green's function.

4. In solving the integral equation, the convergence of high-speed Romberg integral method was used to realize the 3D visual simulation of the ship waves.

5. Volume integral equation method has been used to calculate forward and inverse problems of 3D electromagnetic fields in homogeneous half-space.

6. By means of integral equation of vector potential in the time domain and using several simple approximations, the electromagnetic fields on the axis in the far zone are calculated and compared.

7. By using of complex variable and integral equation methods, the antiplane multiple elliptical holes and multiple cracks problem of infinite region was considered.

8. The volume integral equation method based on tensor Greens function is used to modeling the transient electromagnetic responses from a reservoir in a layered formation.

9. By type factors and transitional momentum integral equation, the approximate expression of momentum thickness is presented as well.

10. Numerical solution of the obtained hypersingular integral equation yields the dynamic stress intensity factors at the crack tip as well as the terminating point.

11. Both the volume integral equation method and the surface integral equation method are used in this paper.

12. Since the exact solution of a boundary integral equation from BEM is unknown,() the actual error in the approximate solution cannot be obtained.

13. By applying fast multipole expansion, the boundary integral equation about 3 D potential problem is made discrete.

14. For realistic image synthesis in computer graphics, the interreflection of light between surfaces is governed by an integral equation—radiosity integral equation.

15. Using proper decomposition of the functions and integral transformation, the problem is reduced to a singular integral equation, whose solution is given of the theory of integral equation.

16. On the governing equation basic and its basic solution, inner point and boundary integral equation was set by weighted residual quantity.

17. The transient response of the arbitrary shaped conductor and wire composite object is analyzed by the time-domain integral equation (TDEFIE).

18. By using the backward differential argument and the Markov property of the external process, we derive the integral equation satisfied by the probability of ruin.

19. Discreteness of eigenvalue spectra for a class of eigenvalue problems is proved through integral equation representation.

20. This paper studies in detail the use of boundary integral equation method in two-dimensional problems and the treatment of various boundary conditions in computer programing.

21. Smith-Purcell radiation characteristic is analyzed from a train of line charges moving parallel to a sinusoidal metal reflection grating using an integral equation model.

22. Using both the fundamental solution of the fundamental equation and the boundary element method, the boundary integral equation in Laplace domain are obtained and solved numerically.

23. Theories and technologies of live line measurement have appeared, including the interference method, the incremental method, the differential equation method and the integral equation method.

24. The employment of the singular value decomposition technique eliminates the interior resonance problem which suffered from the electric field integral equation.

25. The Kelvin solution to the static linear elastic problem is used as the weighted function to derive the boundary integral equation for steady-state vibration problems.

26. The method was over ten times more rapid than the volumetric integral equation method.

27. The scattering of cylindrical waves by a cavity in half-space is investigated by using an indirect boundary integral equation method(IBIEM).

28. Conservation of mass, second Newton's law, and momentum law are introduced into traffic flow to set up traffic continuity equation, Euler's equation, and momentum integral equation.

29. This article probes into finding the solution of technological problem of wave guide by integral equation with thorough example.

30. Then the eigenvalue problem of free vibration of annular sector plates is transformed into the eigenvalue problem of integral equation by using superposition theorem.

31. The integral equation can be resolved by numerical quadrature, and the torque of the fictitious pile can be determined.

32. The potential theory corresponding to biharmonic equation is first established and from this theory is derived the basic integral equation from the generalized Rayleigh-Green identity.

33. Electromagnetic scattering and radiation characteristic of perfect conductor object composed of arbitrary shaped line, surface and volume is analysed by using integral equation and moment method.

34. In the case of non - magnetic substances there is only one integral equation.

35. The paper uses wavelet compression algorithm to realize the compression and order-reducing solution of large-scale Fredholm integral equation.

36. By using of complex variable function and integral equation method, the antiplane multiple holes and cracks problem of half plane region is considered in this paper.

37. Firstly, half - space dyadic Green's functions are given to establish the integral equation for buried dielectric objects.

38. Assume linear, time-harmonic potential flow and utilize Green identity, the governing Laplace equation can be simplified into Fredholm integral equation of the second kind.

39. This paper gives existence and uniqueness condition of solutions of the integral equation with variable separable kernel, and It's elementary solutions.

40. The adaptive integral method (AIM) is combined with the volume integral equation (VIE) to analyze the radiation of the antenna with a arbitrary shaped radome.

41. To overcome the difficulty, the integral equations for interior point in radiating body are used as the supplementary restraints, and linearly added to the boundary surface integral equation.

42. The differential and integral equation for survival probability and a upper bound of ruin probability are given by using renewal theory and stochastic process approach.

43. In modeling the electromagnetic induction, based on the principle of domain decomposition, a fast and effective numerical computational method is developed to deal with the volume integral equation.

44. In this thesis, waveguide element infinite phased-array antennas has been analysised and designed by integral equation method and mode matching method.

45. Avoiding singular fundamental solution, the paper using non-singular fundamental solution to establish the boundary integral equation.

46. Finally, the volume integral equation(VIE) is presented to calculate the electromagnetic scattering characteristics from the inhomogeneous dielectric targets.

47. In the following, the two sections are submitted to analyze and research the dielectric and coated conducting bodies by using the volume integral equation and surface integral equation separately.

48. Forward electromagnetic scattering by buried objects is computed with the integral equation method and efficient algorithm for half-space dyadic Green's functions.

49. The article discusses over regularization Methods: The first kind of integral equation.

50. The authors present two retarded versions of integral inequality,[] which can be used to ensure the boundness of solution to certain integral equation with time delay.

51. A brief review by the progress of advanced statistical mechanics, integral equation and perturbation theory for electrolyte and non-electrolyte solutions in recent years is presented.

52. An integral equation method. (IEM) for analysing the static behaviour of laterally loaded piles is developed in this paper.

53. In this paper, the embedded crack in transversely isotropic body is studied by means of the singular integral equation method.