[PDF] Top 20 On the Calculus of Dirac Delta Function with Some Applications
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On the Calculus of Dirac Delta Function with Some Applications
... FOR SOME INTERESTING APPLICATION DISCUSSION IN STATISTIC ( SEE [1],[5]), IT PLAYS AN IMPORTANT ROLE IN THE IDEALIZATION OF AN IMPULSE IN RADAR CIRCUITS [6], IT CAN BE VIEWED AS A TOOL OF MAKING CALCULUS ... See full document
13
Exact calculus for proximal subgradients with applications to optimization
... new calculus rules for proximal subgradients of extended- real-valued functions and proximal coderivatives of Lipschitzian ...to applications of the calculus results to necessary optimality ... See full document
16
Introducing “Arithmetic Calculus” with Some Applications: New Terms, Definitions, Notations and Operators
... “arithmetic calculus”, where 1) the operators are just obvious mathematical facts, and 2) arithmetic calculus refers to summing and subtracting opera- tions without solving ...arithmetic calculus, ... See full document
27
Some second-order tensor calculus identities and applications in continuum mechanics
... tensor calculus; Section III introduces some new tensor calculations; Section IV proves some lemmas; Section V proves some tensor calculus identities; Section VI demonstrates ... See full document
8
Some applications of BV functions in optimal controls and calculus of variations
... We give a brief description and some numerical results of ( BV )-seminorm reg- ularization to the image denoising problem. Thus we consider the discretized form of ( P ) of Section § 1 with T = I . The unperturbed ... See full document
14
Integral Means Inequalities for Fractional Derivatives of a Unified Subclass of Prestarlike Functions with Negative Coefficients
... Aouf, “Some applications of fractional calculus operators to certain subclasses of prestarlike functions with negative coefficients,” Computers & Mathematics with Applications, vol.. Sriva[r] ... See full document
9
Abstrac tThis paper gives formulas for Riemann- Liouville impulsive fractional integral calculus and for Riemann- Liouville and Caputo impulsive fractional derivatives.
... Fractional calculus has been used in a set of applications, mainly, to deal with modelling errors in differential equations and dynamic ...also applications in Signal Processing and sampling and hold ... See full document
6
LAPLACE TRANSFORM AND ITS APPLICATIONS
... domain function from its frequency domain equivalent have been explained with detailed ...special function like the Heaviside’s Unit Step Function and the Dirac Delta ...life ... See full document
5
Applications of Laplace transform Unit step functions and Dirac delta functions
... the applications of Laplace transform in various fieds of automatic control, Electric circuit, Biological problem and ...step function solving the problems involving discontinuous ...Direc delta ... See full document
8
High order regularization of Dirac delta sources in two space dimensions
... In [3] a Particle-Source-In-Cell method for the simulation of 40 k bronze particles in a shocked flow is presented for the small scale interaction between shocks and solid particles for high-speed engineering ... See full document
53
Parametrization to Improve the Solution Accuracy of Problems Involving the Bi Dimensional Dirac Delta in the Forcing Function
... In the solution of differential equations, the parametric equations are handled exclusively by calculus and al- gebra, both at an elementary level. The parametrized representation can be readily visualized ... See full document
10
Parametric Dirac Delta to Simplify the Solution of Linear and Nonlinear Problems with an Impulsive Forcing Function
... the Dirac delta, but it does not work in nonlinear ...the Dirac delta presented here works both in linear and nonlinear ...elementary calculus to understand it and use ... See full document
10
Fixed Points of Non-Smooth Functions on Finite Dimensional Ordered Banach Spaces via Clarke Generalized Jacobian
... heavy calculus rules and this paper, to the best of our knowledge, is the first work which deal to non-smooth fixed point theorem using generalized ...for some n, we only focus on mappings F ... See full document
14
A boundary element scheme for three dimensional acoustic radiation with flow
... Ratio of specific heats 2.3.3 Distance from element centroid to the interior singularity point The perturbed density 2.3.21 or Dirac delta function 3.1.8 Small perturbation parameter Sur[r] ... See full document
181
Some properties of Wright type generalized hypergeometric function via fractional calculus
... fractional calculus [–] deals with the investigations of integrals and derivatives of any arbitrary real or complex order, which unify and extend the notions of integer-order derivative and n-fold ...Recently ... See full document
11
Generalizations of some fractional integral inequalities via generalized Mittag Leffler function
... Fractional calculus is a theory of integral and differential operators of non-integral ...fractional calculus. The study on the fractional calculus continued with the contributions from Fourier, Abel, ... See full document
10
Classes of Ordinary Differential Equations Obtained for the Probability Functions of Half-Normal Distribution
... obtain some classes of ordinary differential equations for the probability density function (PDF), quantile function (QF), survival function (SF), inverse survival function (ISF), ... See full document
7
Classes of Ordinary Differential Equations Obtained for the Probability Functions of Exponentiated Frĕchet Distribution
... differential calculus was used to obtain some classes of ordinary differential equations (ODE) for the probability density function, quantile function, survival function, inverse ... See full document
6
Regularizing discontinuities based on filtering using dirac delta kernels
... Non Oscillatory) methods to name a few. For nonlinear systems of equations, solving a Riemann problem can be expensive. A variety of approximate Riemann solvers have been developed to simplify this process, but ... See full document
46
Classes of Ordinary Differential Equations Obtained for the Probability Functions of Burr XII and Pareto Distributions
... Recent applications include: modeling loss payment data [26], neurophysiology [27], volatility cluster analysis [28], network management [29], transportation [30], wage distribution [31[and modeling flood ... See full document
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