Modelling with Ordinary Differential Equations

Modelling with Ordinary Differential Equations

A Comprehensive Approach

Borzi, Alfio

Taylor & Francis Inc

04/2020

388

Dura

Inglês

9780815392613

15 a 20 dias

910

Descrição não disponível.
1. Introduction. 2. Elementary solution methods for simple ODEs. 3. Theory of ordinary differential equations. 4. Systems of ordinary differentail equations. 5. Ordinary differential equations of order n. 6. Stability of ODE systems. 7. Boundary and eigenvalue problems. 8. Numerical solution of ODE problems. 9. ODEs and the calculus of variations. 10. Optimal control of ODE models. 11. Inverse problems with ODE models. 12. Differential games. 13. Stochastic differential equations. 14. Neural networks and ODE problems.
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Ordinary Differential Equations;Parameter Identification Problem;Hamiltonian systems;Cauchy Problem;Numerical integration;Green's Function;Finite-dimensional spaces;Optimal Control Problems;Infinite-dimensional spaces;Ode Model;The Lagrange framework;Non-trivial Solutions;Stochastic differential equations;MLP Network;applied mathematics;Differential Riccati Equation;The Lorenz model;Linear Quadratic Differential Games;Euler's method;Inverse Source Problem;teaching material;Ne Point;Conditional PDF;Em Approximation;Open Loop NE;Weak Local Minimiser;Sturm Liouville Operator;Pareto Front;Order Ode;PO Point;Sturm Liouville Problem;SDE;Linear Homogeneous Ode;Em Scheme;Inverse Problems