D-Index & Metrics Best Publications

D-Index & Metrics

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 47 Citations 7,091 212 World Ranking 684 National Ranking 343

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Partial differential equation
  • Differential equation

Mathematical analysis, Algebraic equation, Applied mathematics, Nonlinear system and Numerical analysis are his primary areas of study. In general Mathematical analysis, his work in Integral equation, Volterra integral equation, Collocation method and Differential equation is often linked to Legendre wavelet linking many areas of study. His Algebraic equation research is multidisciplinary, incorporating elements of Legendre polynomials, Wavelet and Optimal control.

In the subject of general Optimal control, his work in Linear-quadratic-Gaussian control is often linked to Legendre pseudospectral method, Pseudospectral optimal control and Gauss pseudospectral method, thereby combining diverse domains of study. His research investigates the connection between Applied mathematics and topics such as Piecewise that intersect with issues in Computation, Lane–Emden equation, Initial value problem, Block pulse and Taylor series. His research integrates issues of Adomian decomposition method, Partial differential equation, Decomposition method, Mathematical optimization and Fractional calculus in his study of Numerical analysis.

His most cited work include:

  • The pseudospectral Legendre method for discretizing optimal control problems (585 citations)
  • THE LEGENDRE WAVELETS OPERATIONAL MATRIX OF INTEGRATION (196 citations)
  • Legendre wavelets method for the nonlinear Volterra-Fredholm integral equations (175 citations)

What are the main themes of his work throughout his whole career to date?

His primary areas of study are Mathematical analysis, Algebraic equation, Applied mathematics, Nonlinear system and Numerical analysis. Differential equation, Integral equation, Volterra integral equation, Orthogonal functions and Collocation method are among the areas of Mathematical analysis where the researcher is concentrating his efforts. In his study, Semi-infinite is inextricably linked to Legendre polynomials, which falls within the broad field of Algebraic equation.

His Applied mathematics study integrates concerns from other disciplines, such as Operational matrix, Order, Wavelet and Piecewise. The study incorporates disciplines such as Calculus of variations, Spline and Harmonic in addition to Nonlinear system. His research investigates the connection with Numerical analysis and areas like Partial differential equation which intersect with concerns in FTCS scheme.

He most often published in these fields:

  • Mathematical analysis (72.46%)
  • Algebraic equation (63.14%)
  • Applied mathematics (50.42%)

What were the highlights of his more recent work (between 2015-2021)?

  • Applied mathematics (50.42%)
  • Algebraic equation (63.14%)
  • Fractional calculus (10.17%)

In recent papers he was focusing on the following fields of study:

Mohsen Razzaghi mostly deals with Applied mathematics, Algebraic equation, Fractional calculus, Numerical analysis and Wavelet. His work deals with themes such as Order, Nonlinear system, Variable and Differential equation, which intersect with Applied mathematics. In his study, he carries out multidisciplinary Algebraic equation and Product research.

His research on Fractional calculus also deals with topics like

  • Upper and lower bounds, which have a strong connection to Legendre polynomials,
  • Optimal control and related Hermite polynomials,
  • Computation that connect with fields like Kernel. The subject of his Numerical analysis research is within the realm of Mathematical analysis. Mathematical analysis is closely attributed to Iterative method in his research.

Between 2015 and 2021, his most popular works were:

  • Numerical solution of distributed order fractional differential equations by hybrid functions (74 citations)
  • A numerical solution for fractional optimal control problems via Bernoulli polynomials (59 citations)
  • Fractional-order Legendre–Laguerre functions and their applications in fractional partial differential equations (34 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Partial differential equation
  • Differential equation

His primary scientific interests are in Applied mathematics, Algebraic equation, Numerical analysis, Mathematical analysis and Fractional calculus. His Applied mathematics research incorporates themes from Optimal control, Operational matrix, Partial differential equation, Nonlinear system and Order. His Optimal control study incorporates themes from Fractional programming and Taylor series.

Mohsen Razzaghi integrates Algebraic equation with Product in his study. His work deals with themes such as Fractional differential, Boundary value problem and Differential equation, which intersect with Numerical analysis. His studies in Mathematical analysis integrate themes in fields like Iterative method and Block pulse.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

The pseudospectral Legendre method for discretizing optimal control problems

G. Elnagar;M.A. Kazemi;M. Razzaghi.
IEEE Transactions on Automatic Control (1995)

741 Citations

THE LEGENDRE WAVELETS OPERATIONAL MATRIX OF INTEGRATION

Mohsen Razzaghi;S. Yousefi.
International Journal of Systems Science (2001)

327 Citations

Legendre wavelets method for the nonlinear Volterra-Fredholm integral equations

S. Yousefi;M. Razzaghi.
Mathematics and Computers in Simulation (2005)

314 Citations

Legendre wavelets direct method for variational problems

M. Razzaghi;M. Razzaghi;S. Yousefi.
Mathematics and Computers in Simulation (2000)

217 Citations

Application of the Adomian decomposition method for the Fokker-Planck equation

Mehdi Tatari;Mehdi Dehghan;Mohsen Razzaghi.
Mathematical and Computer Modelling (2007)

152 Citations

Optimal control of linear delay systems via hybrid of block-pulse and Legendre polynomials

Hamid R. Marzban;Mohsen Razzaghi;Mohsen Razzaghi.
Journal of The Franklin Institute-engineering and Applied Mathematics (2004)

147 Citations

Bernoulli wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations

E. Keshavarz;Y. Ordokhani;M. Razzaghi.
Applied Mathematical Modelling (2014)

141 Citations

Fourier series direct method for variational problems

M. Razzaghi.
International Journal of Control (1988)

134 Citations

Rational Legendre Approximation for Solving some Physical Problems on Semi-Infinite Intervals

K Parand;M Razzaghi;M Razzaghi.
Physica Scripta (2004)

111 Citations

Short communication: A collocation-type method for linear quadratic optimal control problems

Gamal N. Elnagar;Mohsen Razzaghi.
Optimal Control Applications & Methods (1997)

104 Citations

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Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking d-index is inferred from publications deemed to belong to the considered discipline.

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