Differential Equations Theory, Numerics and Applications : Proceedings of the ICDE ’96 Held in Bandung Indonesia

This volume contains the invited and contributed papers presented at an International Conference on Differential Equations held in Indonesia towards the end of 1996. Part I contains eight invited contributions from leading experts. The topics covered embrace solitary waves, aerodynamics, hydrodynamics, tidal motion and mechanical systems. Part II presents 18 contributed papers, covering a rich selection of topics involving the application and solution of differential equations to problems in various disciplines. Audience: Mathematicians, engineers and research scientists in other fields whose work involves differential equations. Front Matter....Pages i-vii Front Matter....Pages 1-1 Parametric Excitation in Mechanical Systems....Pages 3-16 Generation and Suppression of Radiation by Solitary Pulses....Pages 17-50 Buffeting Problems Modelling by Use of Lifting Surface Methods in Unsteady Aerodynamics with Separation....Pages 51-88 The Influence of an External Force on a Solitary Wave....Pages 89-101 An Asymptotic Method in Ship Hydrodynamics....Pages 103-123 Non Classical Solitary Waves....Pages 125-137 Mathematical Modelling of Tidal Motion in Regional Waters of Singapore....Pages 139-167 Phase Portraits of Quadratic Systems....Pages 169-185 Front Matter....Pages 187-187 Microwave Heating: Critical Dependence on Data and Parameters....Pages 189-199 On the Convergence of Sampled Data Nonlinear Systems....Pages 201-210 Nonlinear Galerkin Method for Hamiltonian Systems....Pages 211-220 On Internal Resonances for a Weakly Nonlinear Beam Equation....Pages 221-231 Genus-Two Solutions to the Kadomtsev — Petviashvili Equation....Pages 233-243 On the Formation of Hotspot in Microwave Heating....Pages 245-255 Model Manifolds for Analysing Data of Wave Splitting....Pages 257-268 Modelling of Sediment Transport and Bathymetric Change in Lemah Abang, Jepara Coastal Waters....Pages 269-279 A Double Pendulum in a Wind Field....Pages 281-299 Solution of the Affine Toda Equations as an Initial Value Problem....Pages 301-310 Mathematical Modelling of Chlorine Decay in a Contact Tank....Pages 311-323 The Dynamics of a Near-Grazing Oscillator....Pages 325-334 Front Matter....Pages 187-187 Oscillation Criteria for Second Order Nonlinear Differential Equations....Pages 335-343 Radiation and Diffraction of Sound from Bodies Mounted on an Infinite Baffle Using Boundary Element Method....Pages 345-354 A Differential Equation for Filtering of a Stochastic Dynamical System....Pages 355-360 General Theory of Relativity without Christoffel Symbols....Pages 361-370 A Back-Turning Jet Formed by a Uniform Shallow Stream Hitting a Vertical Wall....Pages 371-379 A Fifth -Order Five-Stage RK-Method Based on Harmonic Mean....Pages 381-389 This volume contains the invited and contributed papers presented at an International Conference on Differential Equations held in Indonesia towards the end of 1996. Part I contains eight invited contributions from leading experts. The topics covered embrace solitary waves, aerodynamics, hydrodynamics, tidal motion and mechanical systems. Part II presents 18 contributed papers, covering a rich selection of topics involving the application and solution of differential equations to problems in various disciplines. __Audience:__