scholarly journals Space-Time Approximation with Sparse Grids

2006 ◽  
Vol 28 (2) ◽  
pp. 701-727 ◽  
Author(s):  
Michael Griebel ◽  
Daniel Oeltz ◽  
Panayot Vassilevski
Keyword(s):  
Sparse Grids ◽  
Space Time ◽  
Time Approximation

Space-Time Approximation of Stochastic $p$-Laplace-Type Systems

2021 ◽  
Vol 59 (4) ◽  
pp. 2218-2236
Author(s):  
Dominic Breit ◽  
Martina Hofmanová ◽  
Sébastien Loisel
Keyword(s):  
Type Systems ◽  
Space Time ◽  
Time Approximation ◽  
Laplace Type

scholarly journals Space-time approximation of parabolic systems with variable growth

2019 ◽  
Vol 40 (4) ◽  
pp. 2505-2552 ◽  
Author(s):  
Dominic Breit ◽  
Prince Romeo Mensah
Keyword(s):  
Finite Element ◽  
Convergence Rate ◽  
Parabolic System ◽  
Dirichlet Boundary ◽  
Parabolic Systems ◽  
Space Time ◽  
Dirichlet Boundary Conditions ◽  
Optimal Convergence Rate ◽  
Hölder Continuous ◽  
Time Approximation

Abstract We study a parabolic system with $p(t,x)$-structure under Dirichlet boundary conditions. In particular, we deduce the optimal convergence rate for the error of the gradient of a finite element-based space-time approximation. The error is measured in the quasi norm and the result holds if the exponent $p(t,x)$ is $(\alpha _t,\alpha _x)$-Hölder continuous.

Space, Time and Einstein

2002 ◽  
Author(s):  
J. B. Kennedy
Keyword(s):  
Space Time

Spinors and Space-Time

1984 ◽  
Author(s):  
Roger Penrose ◽  
Wolfgang Rindler
Keyword(s):  
Space Time

Do Writing Directions Influence How People Map Space onto Time?

2018 ◽  
Vol 77 (4) ◽  
pp. 173-184
Author(s):  
Wenxing Yang ◽  
Ying Sun
Keyword(s):  
Mental Representations ◽  
Space Time ◽  
Horizontal Axis ◽  
Causal Role ◽  
Writing Systems ◽  
Temporal Cognition ◽  
Japanese Speakers ◽  
Psychological Experiments ◽  
Vertical Up

Abstract. The causal role of a unidirectional orthography in shaping speakers’ mental representations of time seems to be well established by many psychological experiments. However, the question of whether bidirectional writing systems in some languages can also produce such an impact on temporal cognition remains unresolved. To address this issue, the present study focused on Japanese and Taiwanese, both of which have a similar mix of texts written horizontally from left to right (HLR) and vertically from top to bottom (VTB). Two experiments were performed which recruited Japanese and Taiwanese speakers as participants. Experiment 1 used an explicit temporal arrangement design, and Experiment 2 measured implicit space-time associations in participants along the horizontal (left/right) and the vertical (up/down) axis. Converging evidence gathered from the two experiments demonstrate that neither Japanese speakers nor Taiwanese speakers aligned their vertical representations of time with the VTB writing orientation. Along the horizontal axis, only Japanese speakers encoded elapsing time into a left-to-right linear layout, which was commensurate with the HLR writing direction. Therefore, two distinct writing orientations of a language could not bring about two coexisting mental time lines. Possible theoretical implications underlying the findings are discussed.

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