Introduces ordinary differential equations, systems of linear equations, matrices, determinants, vector spaces, linear transformations, and systems of linear differential equations. Prereq., APPM 1360 ...
Ordinary differential equations (ODEs) and difference equations serve as complementary tools in the mathematical modelling of processes evolving in continuous and discrete time respectively. Together ...
SIAM Journal on Numerical Analysis, Vol. 7, No. 1 (Mar., 1970), pp. 47-66 (20 pages) Linear one step methods of a novel design are given for the numerical solution of stiff systems of ordinary ...
An intermediate level course in the analytical and numerical study of ordinary differential equations, with an emphasis on their applications to the real world. Exact solution methods for ordinary ...
Abstract: The extensively studied partial differential equation (PDE) systems evolve on continuous time and continuous space, which restricts the investigation scope of PDE systems. A parabolic PDE ...
Introduces the theory and applications of dynamical systems through solutions to differential equations.Covers existence and uniqueness theory, local stability properties, qualitative analysis, global ...
Statistical Densities, Cumulatives, Quantiles, and Power Obtained by S-System Differential Equations
A comprehensive approach for the analysis of statistical univariate distributions is advanced. The method is based on recasting a distribution in a canonical set of first-order nonlinear differential ...
Run NN_pde.py/NN_ode.py/NN_pt.py for training data. Run fPDE_discovery_de.py/foDE_discovery_de.py/fpt_discovery_de.py for fractional differential equation discovery ...
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