Takanori Ide

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Partial differential equations with variable coefficients involving discontinuous case play an important part in engineering, physics and ecology. In this paper, we will study nonlinear partial differential equations with variable coefficients arised from population models. Generally speaking, it is hard to analyze the behavior of nonlinear partial(More)
In this paper we discuss energy preserving finite element scheme for partial differential equations. We firstly consider linear heat equation and linear wave equation as the typical example. To derive energy preserving finite element scheme, we employ the discrete variational method. As the application of nonlinear partial differential equations, we(More)
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