Titlebook: Impact of Scientific Computing on Science and Society; Pekka Neittaanm?ki,Marja-Leena Rantalainen Book 2023 The Editor(s) (if applicable)

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Computational Methods in Applied Scienceshttp://image.papertrans.cn/i/image/462406.jpg

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Remarks on?the?Radiative Transfer Equations for?ClimatologyIn this paper, we discuss some generally accepted approximations of climatology. Using both theoretical and numerical arguments, we prove, disprove or modify these approximations. We apply the general one-dimensional radiative transfer equations for the arguments.

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Impact of Scientific Computing on Science and Society

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Systematic Imposition of?Partial Differential Equations in?Boundary Value Problemst constitute the underlying field theories become instances of the corresponding differential operator. Consequently, the approach covers a wide class of field models and yields a systematic approach to impose specific partial differential equations. As it is straightforward to convert the underlyin

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Challenges for?Mantle Convection Simulations at?the?Exa-Scale: Numerics, Algorithmics and?Softwarethers. Furthermore, advanced techniques must be employed to reduce memory consumption, data transport, and parallel communication overhead. This can be achieved by matrix-free methods that employ polynomial surrogates to compute approximations for the matrix coefficients on the fly. The combination