... with their surroundings, the mathematical formalism can be applied to other additive properties). Let be a system of N non‐interacting particles. The total energy E is obtained as the sum of the individual contributions of the particles E_j. If r energy levels...

... h in the time direction. Ram Jiwari can be contacted at: ram1maths@gmail.com © Emerald Group Publishing Limited 2013 Burgers' equation Quasilinearization Differential quadrature method Runge‐Kutta method Order of convergence Differential equations Mathematics...

... of this paper is to compare different Lambert W based solutions of the Colebrook equation and to make comparisons among them and identify some constraints in applicability of certain solutions. Design/methodology/approach Alternate mathematically equivalents to the implicit Colebrook equation in explicit...

.../δ_k; d^(k+1)=−g^(k+1)+β_kd^(k); end. Masoud Hajarian can be contacted at: mhajarian@aut.ac.ir © Emerald Group Publishing Limited 2012 Iterative methods Mathematics The general...

... examples and the results have been compared with other iterative methods. Numerical results showed that the new methods can be of practical interest. Mathematics Iterative methods Newton's method Order of convergence Fourth‐order convergence This article deals with the numerical...

... Programming and algorithm theory Mathematics Least squares Real symmetric matrices Steepest descent method Conjugate gradient method Reliability analysis Based on the gradient g and the Hessian matrix G, there are many numerical methods for the solution of the nonlinear least...

... by: Mathematics Mechanical engineering (4) © MCB UP Limited 1997 Rotating beams are often used as simple models for studying the stability and the dynamic behaviour of rotating blades in turbomachinery, helicopters, or flexible appendages on satellites. The natural frequencies of rotating...

... on the modelling of planar elastic beams. Admissible elastic deformations are the stretching of the beam axis and bending in one principal direction. © MCB UP Limited 1997 Computer programming Mathematics Mechanical engineering Various computer codes are available for the automatic...

... examples involving drying of a concrete wall and thermoelastic consolidation of partially saturated clay demonstrate the importance of proper physical modelling and of appropriate choice of the boundary conditions. © MCB UP Limited 1996 Mathematics Modelling Porous materials Thermo-hydro...