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    • 2. 发明专利
    • DEVICE AND METHOD FOR ANALYZING BOLTZMANN EQUATION OF ANALYZED OBJECT SYSTEM
    • JPH06119369A
    • 1994-04-28
    • JP26766492
    • 1992-10-06
    • MATSUSHITA ELECTRIC IND CO LTD
    • HATTA SHINICHIRO
    • G06F17/13G06F15/328
    • PURPOSE:To provide an analyzing device capable of obtaining easily the distribution function of a Boltzmann equation. CONSTITUTION:An input part 21 for inputting various kinds of parameters such as an electric field value, the thickness of a system and temperature, etc., in respect of the system of the analyzed object like an electron and a gas molecule, etc., an element equation generating part 22 which receives the various kinds of the parameters inputted by the input part 21, and generates simultaneous equations in each element of a finite element method by the analytical Boltzmann equation, a total element equation generating part 23 which generates total element simultaneous equations by summing the simultaneous equations in each element generated by the element equation generating part 22 extending over all the elements, an equation solving part 24 which obtains the distribution function (f) by substituting (m+2)-pieces of (f) of a known number to (m+1) -tuple linear simultaneous equations in respect of the equation generated by the total element equation generating part 23, and solving the linear simultaneous equations about (m +m-1)-pieces of (f) of an unknown number, and an output part 25 which outputs an obtained result are provided.
    • 7. 发明专利
    • CALCULATING METHOD FOR ORDINARY DIFFERENTIAL EQUATION
    • JPH0619953A
    • 1994-01-28
    • JP17226092
    • 1992-06-30
    • CANON KK
    • YONEDA HIROSHI
    • G06F17/13G06F15/328
    • PURPOSE:To reduce the quantity of calculation and to simplify a program also by evaluating an error of a numeral integration by a specific equation in a method for numerically integrating an ordinary differential equation and discretely calculating it. CONSTITUTION:A ROM 20 stores a control program for an operation controlling CPU 10 and a RAM 30 secures storage areas for a required error value 31 to be the threshold of error evaluation, time counting width DELTAt 32, a position r0 34, speed 35 and external force F0 36 at time t0, and a position r1 38, speed 39 and external force F1 40 at time t1 obtained after time counting width. In the case of discretely calculating an ordinary differential equation by numerical integration, the equation is expressed by d r/dt =F, and in the case where subscripts i, i+1 express values at time points ti, ti+1 (=ti+DELTAt) which are adjacent to each other, error evaluation is executed based upon the shown equation. Consequently, calculation time can be saved, the program can be simplified and the sorts of memories to be used can be reduced, attaining easy management.
    • 8. 发明专利
    • FINITE ELEMENT METHOD OSCILLATION ANALYSIS SYSTEM FOR MULTIPROCESSOR
    • JPH06348746A
    • 1994-12-22
    • JP14030993
    • 1993-06-11
    • HITACHI LTD
    • TAKAYANAGI MASAAKI
    • G06F15/16G06F17/13G06F17/14G06F19/00G06F15/328G06F15/20
    • PURPOSE:To shorten arithmetic time by parallelly calculating the characteristic matrix of elements and setting a processor to the hierarchy of a Gaussian point or a Fourier harmonic. CONSTITUTION:Individual data for preparing respective elements are prepared from the coordinate data, material data, physical constant and node coupling data of an entire system by a main processor 1, those data are transferred to processors 2 corresponding to the respective elements, and arithmetic for preparing the matrix of elements is executed by parallel processing. On the other hand, a processor 3 is arranged under the hierarchy of an element level for each Gaussian numeral integration point at the element, arithmetic is executed by parallel processing at the element levels of plural points and after the arithmetic is completed, the results are transferred to the processors of element levels and added. Further, processors 4 of hierarchies corresponding to the wave number parameters of Fourier series to express the peripheral changes of node parameters are arranged in the low order of Gaussian numeral integration points, and parallel processing is performed at the respective hierarchies in a certain order from the least significant Fourier series through the Gaussian numeral integration point to the element level. Thus, arithmetic is enabled by the characteristic matrix on the element stage.
    • 10. 发明专利
    • ENERGY TRANSPORT TYPE DEVICE SIMULATING METHOD
    • JPH06167926A
    • 1994-06-14
    • JP32183692
    • 1992-12-01
    • SONY CORP
    • FUIRITSUPU ORUDEIJISUTOOMASU BEEMU
    • G09B9/00G06F17/13G06F17/50G06F19/00H01L29/00G06F15/20G06F15/328G06F15/60
    • PURPOSE:To surely perform the convergence of simulation by multiplying difference between an updated value in a computing process and a value before update by a relaxation coefficient. CONSTITUTION:It is assumed that computation by repeat of a k-th case is performed, and the updated value at that time shows a value in which a subscript (k+1) is attached on the upper right of each of variables (phi), (n), and T, and the value before update shows a value in which a subscript (k) is attached on the upper right of the variables. In such a case, the Poisson equation is solved by introducing values phi , n , and T for potential, electron density, and carrier temperature, and the updated value phi for the potential can be obtained. Thence, equation of continuity is solved by introducing the update value phi , an initial values n and T , and the updated value n for the electron density can be obtained similarly. Furthermore, the updated values phi , n , and the value T are introduced to an energy conservation equation, however, in this computation, a value DELTAT*R in which DELTAT is multiplied by R is employed instead of DELTAT. Such relaxation coefficient R is selected as a value capable of evading the oscillation of the carrier temperature and current density i.e., 0.01-0.1.