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

序曲

Book 2023w possibilities to solve scientific problems and study important phenomena in society.?The chapters cover Scientific computing as the third paradigm of science as well as the impact of scientific computing on natural sciences, environmental science, economics, social science, humanistic science, med

Palpitation

On Extreme Computational Complexity of?the?Einstein Equationsn even for at least two massive bodies is not known. Significant computational problems associated with their numerical solution are illustrated as well. Thus, we cannot verify whether the Einstein equations describe the motion of two or more bodies sufficiently accurately.

精確

Optimal Factor Taxation with Credibilityrium, the assertion of zero capital taxation holds, independently of the wage earners’ savings behavior and their weight in the social welfare function. A specific elasticity rule is derived for the optimal wage tax. Finally, it is shown how fertility and mortality can be introduced as endogenous variables in the model.

Aboveboard

On the?Role of?Taylor’s Formula in?Machine Learningtion of new machine learning methods is not common and the purpose of this article is to introduce such use cases. Both a feedforward neural network and a recently introduced distance-based method are used as data-driven models. We demonstrate and assess the proposed techniques empirically both in unsupervised and supervised learning scenarios.

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galley

Blasphemy

Optimal Control Approaches in Shape Optimizationstate system and/or of the cost functional via Hamiltonian equations and implicit parametrizations. A special emphasis is on the treatment of various boundary conditions and some new procedures are also briefly presented.

gangrene

https://doi.org/10.1007/978-3-031-29082-4Impact of scientific computing; future of scientific computing; third science paradigm; scientific comp

Panther

Pekka Neittaanm?ki,Marja-Leena RantalainenAnalyzes the impact of scientific computing in science and society.Provides new possible ways to solve scientific problems in society.Investigates scientific computing in artificial intelligence envir