Textbook in PDF format Inverse Differential Quadrature Method and its Application in Engineering is the first book to comprehensively cover the development of a new numerical solution technique: the inverse differential quadrature method (iDQM), as an indirect approximation technique that can circumvent numerical differentiation-induced errors in the solution of systems of higher-order differential equations. Written by a team of highly qualified academics, Inverse Differential Quadrature Method and its Application in Engineering discusses topics including: High fidelity linear and non-linear structural analyses of variable-stiffness curved beams, arbitrary-shaped plates, and cylindrical and spherical shells governed by unified formulation kinematics iDQM error formulation and its effect on spectral convergence Accurate and efficient solutions of non-structural problems governed by, for example, Korteweg-de Vries (KdV) wave, Helmholtz, convection-diffusion and steady state heat conduction equations and nonlinear one- and two-dimensional scalar combustion models Strategies to alleviate mathematical ill-conditioning of system matrices employing novel preconditioning techniques