... systems (note that, although the discussion below is based on systems that exchange energy 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...

... 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 Consider the one‐dimensional non linear partial equation...

... 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...

... Emerald Group Publishing Limited 2012 Iterative methods Mathematics The general coupled matrix equations Generalized centro‐symmetric solution group Optimal approximation generalized centro‐symmetric solution group For given A_ij...

... 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 approximation of the simple zeros of a real‐valued...

... Programming and algorithm theory Mathematics Least squares Real symmetric matrices Steepest descent method Conjugate gradient method Reliability analysis In stochastic finite element analysis, without loss of generality, the global stochastic linear equation of the system can be expressed...

..., and internal damping of the beam on unstable regions. © MCB UP Limited 1997 Mathematics Mechanical engineering (4) where m is the mass of the beam per unit length. Assuming Euler’s beam theory, the elastic strain energy of the beam due to bending is: (5...

... Computer programming Mathematics Mechanical engineering Various computer codes are available for the automatic generation of equations of motion of multibody systems formed by rigid bodies exclusively. Some of the codes also generate computer programs for the numerical integration...

... 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. Mathematics Modelling Porous materials Thermo-hydro-mechanical analysis of partially...