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Generation of Curvilinear Coordinates
Hiroshi Isshiki, Daisuke Kitazawa
The authors have discussed the method and merit of introducing the curvilinear coordinates into numerical analysis and have shown some numerical examples. However, they used analyt…
Space-time-unified GIRM (Generalized Integral Representation Method) for unsteady advective diffusion
Hiroshi Isshiki, Daisuke Kitazawa
The Generalized Integral Representation Method (GIRM) for Space-Time-Separated Method (STSM) and Space-Time-Unified Method (STUM) are discussed. STSM and STUM give explicit and imp…
Error Estimation of Difference Operators on Irregular Nodes
Hiroshi Isshiki, Takafumi Kawamura, Daisuke Kitazawa
Error estimation of difference operators on irregular nodes is discussed. We can obtain the similar estimates of the errors. However, the error estimate for the difference operator…
Mathematical base of Difference Operator of Particle Method
Hiroshi Isshiki, Daisuke Kitazawa
Mathematical base of difference operators in Moving Particle Semi-implicit method (MPS) are not given sufficiently in contrast to Smooth Particle Hydrodynamics method (SPH). Iribe…