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Discretization and solution of elliptic PDEs-a digital signal processing approach

C.-C.J. Kuo, B.C. Levy
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

Annamaria Mazzia, Giorgio Pini, Flavio Sartoretto
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

F. Pretagostini, L. Ferranti, G. Berardo, V. Ivanov, B. Shyrokau
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

Arnold Neumaier
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

Christopher J. Subich, Kevin G. Lamb, Marek Stastna
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]

Ali Faraj, Shi Jin
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

Marc Anthony Azzopardi, James F. Whidborne
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

Andrew W. Browning
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  ...  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

MAS Editor
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

Nadia Solaro, Alessandro Barbiero, Giancarlo Manzi, Pier Alda Ferrari
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

Gianluca Calcagni
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

Michael Taylor
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

Milos Markovic, So/ren K. Olesen, Dorte Hammersho/i
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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