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Journal of Hydrology, ISSN 0022-1694, 04/2016, Volume 535, pp. 340 - 355
Journal Article
Journal Article
International Journal of Control, ISSN 0020-7179, 06/2016, Volume 89, Issue 6, pp. 1091 - 1095
The Taylor approximations of a multidimensional linear differential system are of importance as they contain a complete information about it. It is shown that... 
polynomial-exponential trajectory | Taylor approximation | Multidimensional system | proper kernel representation | Polynomial-exponential trajectory | Proper kernel representation | AUTOMATION & CONTROL SYSTEMS | Explicit knowledge | Approximations | Construction | Trajectories | Algebra | Approximation | Computation
Journal Article
Journal of Fluids Engineering, ISSN 0098-2202, 03/2017, Volume 139, Issue 3, pp. 031401 - 031401-3
The standard expression for pipe friction calculations, the Colebrook equation, is in an implicit form. Here, we present two accurate approximate solutions,... 
TURBULENT-FLOW | FRICTION FACTOR | ENGINEERING, MECHANICAL | EXPLICIT APPROXIMATIONS
Journal Article
Physical Review Letters, ISSN 0031-9007, 02/2015, Volume 114, Issue 5, p. 053001
Delocalization error is one of the most fundamental and dominant errors that plagues presently used density functional approximations. It is responsible for a... 
ENERGY | CONFIGURATION-INTERACTION | HYBRID FUNCTIONALS | PHYSICS, MULTIDISCIPLINARY | ELECTRONS | THERMOCHEMISTRY | BARRIER HEIGHTS | DERIVATIVE DISCONTINUITIES | FRACTIONAL PARTICLE NUMBER | EXCHANGE | SELF-INTERACTION CORRECTION | Errors | Approximation | Mathematical analysis | Linearity | Density functional theory | Electron distribution | Error correction | Density
Journal Article
Numerical Methods for Partial Differential Equations, ISSN 0749-159X, 09/2017, Volume 33, Issue 5, pp. 1652 - 1677
Journal Article
Physical Chemistry Chemical Physics : PCCP, ISSN 1463-9076, 1/2018, Volume 2, Issue 4, pp. 2693 - 273
The properties of a dendritic polyelectrolyte in equilibrium with a reservoir of monovalent salts are investigated using the cell model and the... 
Charge density | Charge simulation | Ion charge | Trapping | Approximation | Mathematical analysis | Boltzmann transport equation | Polyelectrolytes | Osmosis | Electric fields | Internal pressure
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 11/2018, Volume 337, pp. 607 - 617
Journal Article
The Annals of Applied Probability, ISSN 1050-5164, 8/2016, Volume 26, Issue 4, pp. 2083 - 2105
Journal Article
Physical Chemistry Chemical Physics, ISSN 1463-9076, 2018, Volume 20, Issue 4, pp. 2693 - 2703
The properties of a dendritic polyelectrolyte in equilibrium with a reservoir of monovalent salts are investigated using the cell model and the... 
PAMAM DENDRIMERS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | FLEXIBLE SPACER-CHAINS | CHARGED DENDRIMERS | MOLECULAR-DYNAMICS SIMULATIONS | ANGLE NEUTRON-SCATTERING | SOLVENT | EXPLICIT COUNTERIONS
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 01/2013, Volume 237, Issue 1, pp. 442 - 459
We develop approximate formulae expressed in terms of elementary functions for the density, the price and the Greeks of path dependent options of Asian style,... 
Analytical approximation | Local volatility | Option pricing | Asian option | Hypoelliptic equation | MATHEMATICS, APPLIED | DIFFERENTIAL-EQUATIONS | EXPLICIT FORMULAS | Analysis | Models | Algorithms | Kernels | Approximation | Computation | Mathematical analysis | Volatility | Mathematical models | Asian | Density
Journal Article
International Journal of Heat and Mass Transfer, ISSN 0017-9310, 02/2016, Volume 93, pp. 513 - 515
New explicit approximations to the implicitly given Colebrook equation for flow friction factor are given. They are with improved accuracy compared with the... 
Explicit approximation | Rough pipes | Colebrook's equation | Turbulent flow | Flow friction factor | MECHANICS | THERMODYNAMICS | EQUATION | ENGINEERING, MECHANICAL
Journal Article
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, ISSN 1531-3492, 08/2019, Volume 24, Issue 8, pp. 4513 - 4545
This paper first establishes a fundamental mean-square convergence theorem for general one-step numerical approximations of Levy noise driven stochastic... 
MATHEMATICS, APPLIED | STOCHASTIC DIFFERENTIAL-EQUATIONS | super-linearly growing coefficients | STABILITY | VARYING COEFFICIENTS | TIME | STRONG-CONVERGENCE RATES | ORDER | BACKWARD EULER | mean-square convergence | one-step approximations | explicit methods | SDEs with Levy noise | EULER-MARUYAMA METHOD | EXPLICIT | SCHEMES
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 10/2018, Volume 265, Issue 7, pp. 2921 - 2967
Journal Article