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Discretization and solution of elliptic PDEs-a digital signal processing approach
1990
Proceedings of the IEEE
A digital signal processing (DSP) approach is used to study numerical methods for discretizing and solving linear elliptic partial differential equations (PDEs). ...
In the area of discretization, mode-dependent finite-difference schemes for general second-order elliptic PDEs are examined, and are illustrated by considering the Poisson, Helmholtz, and convection-diffusion ...
Step 7: Perform a I -D fast sine transform of fn,,,, with respect to n, to determine the hybrid Fourier coefficients Step 2: For each k,, with 1 5 k, C. ...
doi:10.1109/5.60919
fatcat:r7bjwtk6ejhvzl2jancjpputzu
Meshless techniques for anisotropic diffusion
2014
Applied Mathematics and Computation
The latter would allow better use of parallel computers, since time-stepping is essentially a serial process. Moreover, it would be good for the methods to be of high order accuracy. ...
A good numerical method would be locally mass conservative, produce no or minimal over/under-shoots, produce minimal numerical diffusion, and require no CFL time-step limit for stability. ...
We show how to solve the equations using a global implicit approach in an efficient way, and we present the derived computational results. ...
doi:10.1016/j.amc.2014.03.032
fatcat:c527226gyfgbffnq4p67qxd7wi
Survey on Wheel Slip Control Design Strategies, Evaluation and Application to Antilock Braking Systems
2020
IEEE Access
The analysis showed substantial reduction of the braking distance and better steerability with the proposed approach. ...
Two defined peaks are observed, each associated with a specific friction coefficient. ...
SURVEY OF CONTROL STRATEGIES FOR WHEEL SLIP CONTROL The design of wheel slip control systems is highly dependent on the brake actuators characteristics. ...
doi:10.1109/access.2020.2965644
fatcat:mgoqkxmsczdxla6daj4ocm7azm
Molecular Modeling of Proteins and Mathematical Prediction of Protein Structure
1997
SIAM Review
This paper discusses the mathematical formulation of and solution attempts for the so-called protein folding problem. ...
From a mathematical point of view, there are several main sides to the static problem: -the selection of an appropriate potential energy function; -the parameter identification by fitting to experimental ...
) and cos ψ i (or sin ψ i ) ≈ Ψ Ri+1,Ri (ϕ i+1 , ϕ i ) (15) with suitable trigonometric polynomials Φ, Ψ in two variables depending on two adjacent residues. ...
doi:10.1137/s0036144594278060
fatcat:viee4yhbpbh4lbjdtshtuxea2a
Simulation of the Navier-Stokes equations in three dimensions with a spectral collocation method
2013
International Journal for Numerical Methods in Fluids
This suggests that we can find proper starting steps "for free" simply by taking the Euler and two-step methods with small enough timesteps. ...
the use of the two-step method to find f 2 . ...
,false); rhoprime = (cos(pertur_k * xx(ii))) * pow(cosh((zz(kk)−0.5)/dz_rho),−2) 125 * delta_rho * 1e−8; write_array(rhoprime,"rho",0); write_reader(rhoprime,"rho",true); } // Forcing in the momentum equations ...
doi:10.1002/fld.3788
fatcat:w27o4sq5tjcbve2u2hajwlgdvm
The Landau-Zener transition and the surface hopping method for the 2D Dirac equation for graphene
[article]
2015
arXiv
pre-print
A Lagrangian surface hopping algorithm is implemented to study the two dimensional massless Dirac equation for Graphene with an electrostatic potential, in the semiclassical regime. ...
We first derive the Landau-Zener probability for the underlying problem, then incorporate it into the surface hopping algorithm. ...
Acknowledgements A.F. acknowledges Clotilde Fermanian Kammerer for discussion about section 3.3. ...
arXiv:1505.05988v1
fatcat:zpfpw4utq5c3lgzt36gbxegsaa
Computational Air Traffic Management
2011
2011 IEEE/AIAA 30th Digital Avionics Systems Conference
However, the diverging gap between ATM performance and fundamental requirements indicates the need for a step change. ...
As a result, a new discipline called Computational Air Traffic Management has been defined to address the unique set of challenges presented by the ATM problem, by taking a more objective scientific approach ...
The equations for lift and drag are given below in eq. (3.6.5) and (3.6.6) respectively. The parameters c, b 1 and b 2 are empirically determined curve-fitting coefficients. ...
doi:10.1109/dasc.2011.6095967
fatcat:5kfu6ba5h5g7pdffh7z3ftdjai
A mathematical model to simulate small boat behaviour
1991
Simulation (San Diego, Calif.)
The manoeuvring simulator uses equations composed of a
number of terms with unknown coefficients and it is
these coefficients which are determined by curve fitting
of data from systematic model experiments ...
The impact method was used for measuring the surge and yaw added mass coefficients, but with the greater damping in sway it was possible to use the acceleration method. ...
The text in this document was produced entirely using the Chiwriter wordprocessing package for IBM PC's. ...
doi:10.1177/003754979105600508
fatcat:q5iu7zmq2bfm3jl5empuhflq5m
27th Annual Computational Neuroscience Meeting (CNS*2018): Part One
2018
BMC Neuroscience
All network simulations carried out with NEST (http:// www.nest-simul ator.org). ...
Gutzen for fruitful discussions. ...
For the size of 0.1 µm mesh size, a time step of 10-6 µs is needed for an explicit method, or ~ 1 µs time step for an implicit method (less overall computational resource Photothrombosis is an established ...
doi:10.1186/s12868-018-0452-x
pmid:30373544
pmcid:PMC6205781
fatcat:xv7pgbp76zbdfksl545xof2vzy
Modern Applied Science, Vol. 3, No. 8, August 2009, all in one file
2009
Modern Applied Science
Acknowledgements A special thank to FRIM for securing grant for this project and to members of FRIM and Faculty of Forestry, Universiti Putra Malaysia, for their supervision in this research work. ...
The untreated particleboards complied with all the standard requirements of the physical and mechanical tests. ...
Therefore all solutions of equation
(1) are oscillatory. ...
doi:10.5539/mas.v3n8p0
fatcat:qhc7i4dl6rfpjcywtasdohn2we
A sequential distance-based approach for imputing missing data: Forward Imputation
2016
Advances in Data Analysis and Classification
We use a two-step iterative algorithm for fitting the model. The first step proposes a candidate network structure. ...
We consider also stepwise methods in which the variance components are robustly estimated in a first step and, in a second step, estimates of regression coefficients are obtained. ...
doi:10.1007/s11634-016-0243-0
fatcat:yvrqlgllsbesbnvnzzci2egpl4
Geometry and field theory in multi-fractional spacetime
2012
Journal of High Energy Physics
Depending on the symmetries of the Lagrangian, one can define two models. ...
changes with the scale. ...
Vacaru for useful discussions. Open Access. ...
doi:10.1007/jhep01(2012)065
fatcat:q3yrd3jxfbb4zpmbtumct7cecm
Philosophy of Education
1977
Social Theory and Practice
Please feel free to speak with your grade administrator or building principal as well as with your guidance counselor in making these important decisions. ...
Throughout the year, we have many occasions to talk with graduates of our high schools. ...
)
-Solving Equations with Fractional Coefficients
-Solving Inequalities with Fractional Coefficients
-Solving Fractional Equations
• Quadratics
-Solving Quadratic Equations by Factoring
-Quadratic ...
doi:10.5840/soctheorpract1977437
fatcat:ly7e6vjrirckrdmrqgowitmesa
Waves in partially saturated porous media
1993
International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts
An appropriate classification of oscillating fluid clusters follows, with a theoretical, numerical, and experimental investigation. ...
Investigation of smaller-scale, oscillatory flow yields a generalized, characteristic frequency and further modes of solid deformation. ...
for s) and Eq. (5.51b) (two equations for f ∈ {l, g}), now only depend on the displacements and their derivatives in time and space. ...
doi:10.1016/0148-9062(93)92912-a
fatcat:olqe6ueuxffmngwr2wim34yzvy
Three-dimensional point-cloud room model in room acoustics simulations
2013
Journal of the Acoustical Society of America
Estimation of these cross-section areas consists of two steps: First, an auto-regressive moving-average method is applied to find the linear coefficients of a pole-zero model that optimally accounts for ...
The method of numerical solution of generalized Burgers equation proposed is step-by-step calculation supported on using Fast Fourier Transform of the considered signal. ...
This paper develops a probabilistic two-dimensional (2D) inversion for geoacoustic seabed and water-column parameters in a strongly range-dependent environment. ...
doi:10.1121/1.4806371
fatcat:ln4w6j7cjvchrckf2gzfmeiwoi
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