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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Isthmus

Curiously Empty Intersection of?Proof Engineering and?Computational Sciencesential to advance the field. More concretely, we formalize elementary group theory in an interactive theorem prover and discuss how the same technique could be applied to formalize general computational methods, such as discrete exterior calculus. We note that such formalizations could reveal intere

BRIEF

Challenges for?Mantle Convection Simulations at?the?Exa-Scale: Numerics, Algorithmics and?Softwareal of extreme-scale computing forces us to reconsider classical approaches for finite-element-based scientific computing. In this contribution, we provide some ideas in that direction using the problem of modeling the dynamics of the Earth’s mantle as an example. Resolving the mantle with a global r

團(tuán)結(jié)

Simulation and?Its Use in?Additive Manufacturing challenging as they are affected by many factors, so they are experimentally expensive and time consuming to study. Simulation has been identified as an important tool to overcome this challenge. The focus of this chapter is on laser-based powder diffusion (L-PBF) and controlled energy coating Dire

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陰謀小團(tuán)體

Multi-criteria Problems and?Incompleteness of?Information in?Structural Optimizationoncrete mechanical statements about considered problems and analytical solution methods. All investigations are accomplished within the framework of problems with vector functionals and by including uncertainty into important data. The presented considerations of problem formulations and the develop

感染

Stability in?Discrete Games with?Perturbed Payoffst is defined by partitioning a set of players into coalitions. Two extreme cases of such a partition correspond to Pareto optimal and Nash equilibrium outcomes, respectively. The game is characterized by a matrix in which each element is a subject of independent perturbations. That is, a set of pert

B-cell

廣口瓶

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.