High-order commutator-free exponential time-propagation of driven quantum systems
Journal of Computational Physics
Clinical time series data analysis using mathematical models and DBNs
AIME'11 Proceedings of the 13th conference on Artificial intelligence in medicine
The SIR epidemic model from a PDE point of view
Mathematical and Computer Modelling: An International Journal
Solving large-scale continuous-time algebraic Riccati equations by doubling
Journal of Computational and Applied Mathematics
Convergence of the forward-backward sweep method in optimal control
Computational Optimization and Applications
On expansions in orthogonal polynomials
Advances in Computational Mathematics
International Journal of Approximate Reasoning
ACM Transactions on Design Automation of Electronic Systems (TODAES)
Locally exact modifications of numerical schemes
Computers & Mathematics with Applications
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Numerical analysis presents different faces to the world. For mathematicians it is a bona fide mathematical theory with an applicable flavour. For scientists and engineers it is a practical, applied subject, part of the standard repertoire of modelling techniques. For computer scientists it is a theory on the interplay of computer architecture and algorithms for real-number calculations. The tension between these standpoints is the driving force of this book, which presents a rigorous account of the fundamentals of numerical analysis of both ordinary and partial differential equations. The exposition maintains a balance between theoretical, algorithmic and applied aspects. This new edition has been extensively updated, and includes new chapters on emerging subject areas: geometric numerical integration, spectral methods and conjugate gradients. Other topics covered include multistep and Runge-Kutta methods; finite difference and finite elements techniques for the Poisson equation; and a variety of algorithms to solve large, sparse algebraic systems.