Description
Geometric numerical integration is a modern approach to solving differential equations that respects the underlying geometric structures and invariants of dynamical systems. This concise introduction by Sergio Blanes and Fernando Casas provides a thorough treatment of the key concepts and methods in the field.
The book covers symplectic integrators, Hamiltonian systems, Lie group integrators, and other structure-preserving techniques essential for accurate long-term numerical simulations. It presents both theoretical foundations and practical implementations suitable for researchers and practitioners in computational mathematics, physics, and engineering.
With clear explanations, worked examples, and modern applications, this text bridges the gap between classical numerical analysis and contemporary geometric methods. It serves as an invaluable resource for students, scientists, and engineers who need reliable numerical solutions that maintain physical and mathematical properties of their systems.
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