Abstract: A recording device which is capable of preventing alteration of a generated digital picture data and suitable for improving the reliability of the digital picture data as an evidence. The recording device includes a related information embedding unit for embedding a related information on the digital picture data stored in a related information storing unit in the digital picture data obtained by a picture receiving unit by means of the digital watermarking technique, a digital signature generating unit for generating a digital signature of the digital picture data in which the related information has been embedded, and a recording unit for adding the digital signature to the digital picture data in which the related information has been embedded and storing it in a memory unit.

Abstract: In a computer system including a plurality of computers interconnected through a network, a specific computer A in the computer system manages the computer resource information and the operating condition information such as for a CPU, a file and a memory and the user resource information such as file data and a program of each computer of the computer system. When a user issues a request from a computer C to log in to the computer system, the request is reported to the computer A, and the information related to the user is returned to the computer C with reference to the user resource information held by the computer A. Then, the computer C acquires the file and the usable program held by the user in the computer system and executes a process, whereby the whole system can be used as resources of each user.

Abstract: In submitting each job in a parallel processing system provided with a plurality of processors, execution conditions such as a requested minimum processor number, an upper limit used processor number and a requested execution time are designated for each job and the judgement of whether or not processors equal in number to the requested minimum processor number required by a leading one of execution waiting jobs are in idle states is made for the leading job by use of a table for managing the status of utilization of processors for each job executed and the number of idle processors, a table for managing processors occupied or used by each operating job and a lapse time and a table for managing the execution conditions of each execution waiting job.

Abstract: A program generating method for generating a FORTRAN program by use of a computer having the following steps of automatically selecting an optimal weight function for each equation of the system of partial differential equations including coupled plural variables and partial differential equations to effect a multiplication therebetween, performing a partial integration thereon, automatically selecting from a group of boundary conditions an optimal boundary condition for each partial differential equation to conduct a collation processing of the boundary condition, exchanging the order of the summation and the integration on the object variable to effect a discretize processing of the variable, assigning components to a coefficient matrix and a constant vector, and generating a FORTRAN program to solve the equations through a linear computation.

Abstract: A program generating method for automatically generating a program used in a simulation of a physical phenomenon by using computers, wherein inputted information such as the shape of a domain where the physical phenomenon such as that in a fluid takes place, mesh division information therefor, a partial differential equation dominantly representing the physical phenomenon and boundary conditions thereof are inputted, differential operators included in the inputted partial differential equation and an equation representing the boundary condition are expanded to generate discrete equations and the generated discrete equations are coded to automatically generate simulation programs.

Abstract: In a numerical simulation system, a method for displaying information includes the steps of generating output data of values which are dependent on at least one of coefficients and constants of a discretization equation at each mesh point, based on positions of the mesh points representing the analysis domain and having the partial differential equation defined therefor and simultaneous linear equations constructed by the discretization equations which are approximation equations of the partial differential equations; displaying the analysis domain on a display; and changing the display status of the display screen at the point corresponding to the mesh point depending on the output data at the mesh point.

Abstract: The entry of a problem describing program is assisted by a database or a display screen. An error in numerical calculation of the input problem describing program is automatically checked. A simulation program which interrupts the execution of a process requsted by a statement in the problem describing program which a user designates as a break point when the simulation program executes the process is automatically generated. At the time of interruption, the execution status of the simulation is diagnosed upon the user's request.

Abstract: Method for generating a program for numerically solving a partial differential equation, wherein when a numerical calculation program for calculating, in a specified analytic domain, the value of a physical quantity defined by a partial differential equation is automatically produced, it is judged on the basis of predetermined conditions whether or not discretization due to the divergence of an operand is to be carried out for each of terms which are included in the partial differential equation and have a differential operator, and the discretization due to the divergence of the operand is carried out for a term when it is judged that the term is to be discretized on the basis of the divergence of the operand.

Abstract: A program generation method for generating a program which performs numerical simulation on a computer for a physical phenomenon by entering, to the computer, shape information of a spatial region in which the physical phenomenon takes place, conditions of numerical simulation including variables and constants necessary for the numerical analysis of the physical phenomenon, a partial differential equation using the variables and constants, and initial condition, boundary condition and material coefficient of the spacial region, and equation information including computational procedures.

Abstract: A method is provided for automatically generating a simulation program which numerically solves a partial differential equation which governs a physical quantity in a non-rectangular real space domain. The real partial differential equation is solved according to a boundary-fitted method by first transforming the original partial differential equation from a real space to a normal space. The upper limit of user work area memory available on the data processing apparatus and the number of mesh points extracted from the real space domain shape are considered in the transformation and to an extent control the transformation rule. Two program statements are thus generated, the first of which allocates data area for the particular variables in the work area memory. The second program statement defines the value of each variable in terms of one factor.

Abstract: A method for automatically generating by use of a computer a simulation program for simulating a phenomenon in a region by discretizing automatically data of a partial differential equation inputted when the partial differential equation and boundary conditions governing the phenomenon and data representing the shape of a region, which is an object of calculation, are given, by using a discretization rule by the finite differential method, and for generating a program calculating numerical values representative of the phenomenon determined by the partial differential equation over the whole object region of calculation by the finite differential method on the basis of the equation after the discretization, wherein the object region of calculation is divided into a plurality of blocks, each of which has the same differential equation and the same discretization rule and a program is generated which calculates, for each of the blocks numerical values representative of the phenomenon determined by the partial di

Abstract: The partial differential equations inputted with respect to an unknown quantity A are processed according to the finite element method in which simultaneous first-order equations equivalent to the partial differential equations are obtained, and then a matrix equation equivalent to the simultaneous first-order equations, namely, (k.sub.ij) (a.sub.i)=(d.sub.i) is processed to derive a coefficient {a.sub.j } so as to generate a program which calculates the unknown quantity A. For each group of a plurality of elements, the program calculates a contribution determined by the positions of the nodes associated with the elements with respect to a portion of matrix element group such as k.sub.lm and k.sub.ll and a portion of constant group such as d.sub.l and d.sub.m determined by the numbers assigned to a plurality of nodes contained in the group of a plurality of elements and then generates the final values of the matrix element group {k.sub.ij } and the constant {d.sub.