To ensure coverage of the survey area, the numerical domain was 3-km long and 6-km wide.
The numerical domain was a rhombus area, with apexes at 26.5° N, 144.4° E; 35.8° N, 132.0° E; 50.6° N, 133.4° E; and 39.9° N, 147.7° E; it covered the Tohoku region (the northeastern part of the Japanese islands, including the Fukushima and Miyagi prefectures, as shown in Fig. 2) and the Kantou Plain region (the area including the Tokyo, Saitama, Chiba, Kanagawa, and Ibaraki prefectures).
Numerical analysis, area of mathematics and computer science that creates, analyzes, and implements algorithms for obtaining numerical solutions to problems involving continuous variables.
The horizontal axis shows the distance along the shoreline from point A. The inserted figure at the top right shows the numerical simulation area and the tsunami sources used in this study (rectangle).
The final metamodels were trained to 129 wells within the active numerical flow model area, and considered 58 mappable predictor variables compiled in a geographic information system (GIS).
However, these are generally overestimated in numerical calculations in area 2, probably because the spatial grid size (45 m) is insufficient to reproduce the local land use, especially the Sendai Tobu Highway, which is expected to have acted to reduce the tsunami energy greatly.
Numerical values of area and volume calculated by the three algorithms at five different resolutions are presented in Figures 9A and 9B.
Summarizing ROC curve in a numerical way, the area under an ROC curve (AUC) is computed.
Heart weight, heart weight / body weight ratio, area, numerical and volumetric densities of myocytes, as well as volumetric density of collagen fibers were increased in F animals when compared to C. Furthermore, numerical density of capillaries was reduced in the F group in comparison with the C group.
AUC was also obtained manually by calculating the average haematocrit values between two consecutive time measurements and multiplying it by the time interval between the measurements, and summing up all the values, in a manner similar to that for the numerical estimation of area under a drug concentration-time curve [ 27].
In some areas, numerical methods are highly developed, such as solving nonlinear equations, evaluating integrals, and solving differential equations.
