Integrating State-of-the-Art Computational Modeling with Clinical Practice: The Promise of Numerical Methods

Author(s):  
David E. Krummen ◽  
Gainyu Oshodi ◽  
Sanjiv M. Narayan
2021 ◽  
Vol 87 (6) ◽  
Author(s):  
Andrea CARSETTI ◽  
Elena BIGNAMI ◽  
Andrea CORTEGIANI ◽  
Katia DONADELLO ◽  
Abele DONATI ◽  
...  

Author(s):  
Prause E ◽  
Rosentritt M ◽  
Beuer F ◽  
Hey J

Background: The review presents the scientific state of the art in the field of cementation of crowns on implants. Because semipermanent cements have been specially developed for the cementation of crowns on implants, the question arises whether this cement group offers an advantage compared to other available and widely used cements in everyday clinical practice. Various factors play a role on the retentive strength of superstructures on implants and should therefore be taken into account in this review.


Acta Numerica ◽  
2014 ◽  
Vol 23 ◽  
pp. 369-520 ◽  
Author(s):  
G. Dimarco ◽  
L. Pareschi

In this survey we consider the development and mathematical analysis of numerical methods for kinetic partial differential equations. Kinetic equations represent a way of describing the time evolution of a system consisting of a large number of particles. Due to the high number of dimensions and their intrinsic physical properties, the construction of numerical methods represents a challenge and requires a careful balance between accuracy and computational complexity. Here we review the basic numerical techniques for dealing with such equations, including the case of semi-Lagrangian methods, discrete-velocity models and spectral methods. In addition we give an overview of the current state of the art of numerical methods for kinetic equations. This covers the derivation of fast algorithms, the notion of asymptotic-preserving methods and the construction of hybrid schemes.


2019 ◽  
Vol 28 (9) ◽  
pp. 1400-1410 ◽  
Author(s):  
Jessica Poon ◽  
James T. Leung ◽  
Dominic Y. Leung

Author(s):  
A. Naess ◽  
H. C. Karlsen ◽  
P. S. Teigen

The state-of-the-art representation of the horizontal motions of e.g. a TLP in random seas is in terms of a second order stochastic Volterra series. Until recently, there has been no method available for accurately calculating the mean level upcrossing rate of such response processes. Since the mean upcrossing rate is a key parameter for estimating the large and extreme responses it is clearly of importance to develop methods for its calculation. The paper describes numerical methods for calculating the mean level upcrossing rate of a stochastic response process represented as a second order stochastic Volterra series. Since no approximations are made, the only source of inaccuracy is in the numerical calculation, which can be controlled.


2019 ◽  
Vol 48 (15) ◽  
pp. 4118-4154 ◽  
Author(s):  
Martin Stöhr ◽  
Troy Van Voorhis ◽  
Alexandre Tkatchenko

Opening the black box of van der Waals-inclusive electronic structure calculations: a tutorial-style introduction to van der Waals dispersion interactions, state-of-the-art methods in computational modeling and complementary experimental techniques.


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