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Numerical analysis --- Numerical analysis. --- 519.65 --- #WWIS:didaktiek --- 519.62 --- Mathematical analysis --- Approximation. Interpolation --- Numerical methods for solution of ordinary differential equations --- 519.62 Numerical methods for solution of ordinary differential equations --- 519.65 Approximation. Interpolation

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This book examines the solution of some of the most common problems of numerical computation. By concentrating on one effective algorithm for each basic task, it develops the fundamental theory in a brief, elementary way. There are ample exercises, and codes are provided to reduce the time otherwise required for programming and debugging. Exposes readers to art of numerical computing as well as the science. Readers need only a familiarity with either FORTRAN or C. Applications are taken from a variety of disciplines including engineering, physics, and chemistry.

Numerical analysis --- Analyse numérique --- Data processing --- Informatique --- 519.61 --- -519.62 --- Mathematical analysis --- Numerical methods of algebra --- Numerical methods for solution of ordinary differential equations --- Data processing. --- 519.62 Numerical methods for solution of ordinary differential equations --- 519.61 Numerical methods of algebra --- Analyse numérique --- 519.62 --- Numerical analysis - Data processing

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Differential equations --- Numerical solutions --- -519.62 --- Equations, Differential --- Bessel functions --- Calculus --- Numerical methods for solution of ordinary differential equations --- Numerical solutions. --- 519.62 Numerical methods for solution of ordinary differential equations --- 517.91 Differential equations --- 519.62 --- 517.91 --- Numerical solutions&delete& --- Équations différentielles --- Solutions numériques --- Solutions numériques.

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Initial value problems --- Numerical solutions --- -519.62 --- Problems, Initial value --- Numerical methods for solution of ordinary differential equations --- 519.62 Numerical methods for solution of ordinary differential equations --- 519.62 --- Numerical analysis --- Ordinary differential equations --- Numerical solutions of differential equations --- Numerical solutions. --- Problèmes aux valeurs initiales --- Solutions numériques --- Initial value problems - Numerical solutions. --- Initial value problems - Numerical solutions --- Acqui 2006

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Geometric integrators are time-stepping methods, designed such that they exactly satisfy conservation laws, symmetries or symplectic properties of a system of differential equations. In this book the authors outline the principles of geometric integration and demonstrate how they can be applied to provide efficient numerical methods for simulating conservative models. Beginning from basic principles and continuing with discussions regarding the advantageous properties of such schemes, the book introduces methods for the N-body problem, systems with holonomic constraints, and rigid bodies. More advanced topics treated include high-order and variable stepsize methods, schemes for treating problems involving multiple time-scales, and applications to molecular dynamics and partial differential equations. The emphasis is on providing a unified theoretical framework as well as a practical guide for users. The inclusion of examples, background material and exercises enhance the usefulness of the book for self-instruction or as a text for a graduate course on the subject.

Hamiltonian systems --- 519.62 --- 519.63 --- 681.3*I6 --- 519.63 Numerical methods for solution of partial differential equations --- Numerical methods for solution of partial differential equations --- 519.62 Numerical methods for solution of ordinary differential equations --- Numerical methods for solution of ordinary differential equations --- 681.3*I6 Simulation and modeling (Computing methodologies)--See also {681.3*G3} --- Simulation and modeling (Computing methodologies)--See also {681.3*G3} --- Hamiltonian dynamical systems --- Systems, Hamiltonian --- Differentiable dynamical systems --- Hamiltonian systems.