Date of publication: 2017-08-24 14:16
6 Stability and convergence of trigonometric integrator pseudospectral discretization for N-coupled nonlinear Klein-Gordon equations
Numerical or quantitative information is obtained from research methods such as surveys of populations or from repeated experimental procedures. When recording the data it is important to include detailed information (eg dates and place of collection, methods of measurement, units of measurement) to minimise confusion. Numerical data are usually recorded on printed datasheets, then stored in spreadsheet format.
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97 Symmetric High Order Gautschi-type Exponential Wave Integrators Pseudospectral Method for the Nonlinear Klein-Gordon Equation in the Nonrelativistic Limit Regime
9 Mean-field regime and Thomas-Fermi approximations of trapped Bose-Einstein condensates with higher-order interactions in one and two dimensions
Content : This module focuses on basic numerical methods for problems arising in mathematics and physics. The important concepts of iteration, convergence, accuracy and stability will be covered. Through implementation of computer algorithms, techniques studied will include Lagrange interpolation, Gaussian quadrature and solving ordinary differential equations by the Runge-Kutta method.
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