By Ernst Hairer,Christian Lubich,Gerhard Wanner
This e-book covers numerical tools that protect homes of Hamiltonian structures, reversible structures, differential equations on manifolds and issues of hugely oscillatory options. It offers a
theory of symplectic and symmetric tools, which come with numerous in particular designed integrators, in addition to discusses their development and sensible advantages. The long-time habit of the numerical ideas is studied utilizing a backward mistakes research mixed with KAM theory.
Read or Download Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations: 31 (Springer Series in Computational Mathematics) PDF
Best number systems books
A result of raise in computational energy and new discoveries in propagation phenomena for linear and nonlinear waves, the realm of computational wave propagation has develop into extra major in recent times. Exploring the most recent advancements within the box, potent Computational equipment for Wave Propagation offers numerous smooth, beneficial computational equipment used to explain wave propagation phenomena in chosen parts of physics and expertise.
Area decomposition is an lively study sector desirous about the improvement, research, and implementation of coupling and decoupling innovations in mathematical and computational versions of common and engineered platforms. the current quantity units forth new contributions in components of numerical research, computing device technological know-how, medical and commercial functions, and software program improvement.
State of the art methods to boost the Large-Scale eco-friendly Computing MovementEdited by way of one of many founders and lead investigator of the Green500 checklist, the golf green Computing publication: Tackling strength potency at huge Scale explores seminal examine in large-scale eco-friendly computing. It starts with low-level, hardware-based ways after which traverses up the software program stack with more and more higher-level, software-based methods.
This e-book covers finite aspect equipment for numerous ordinary eigenvalues that come up from technological know-how and engineering. either idea and implementation are coated intensive on the graduate point. The history for average eigenvalue difficulties is incorporated besides practical research instruments, finite point discretization tools, convergence research, recommendations for matrix assessment difficulties, and desktop implementation.
- Networks in Action: Text and Computer Exercises in Network Optimization: 140 (International Series in Operations Research & Management Science)
- Separable Type Representations of Matrices and Fast Algorithms: Volume 1 Basics. Completion Problems. Multiplication and Inversion Algorithms: 234 (Operator Theory: Advances and Applications)
- Mathematical Modeling of Biosensors: An Introduction for Chemists and Mathematicians: 9 (Springer Series on Chemical Sensors and Biosensors)
- Numerical Optimization (Springer Series in Operations Research and Financial Engineering)
- Stochastic Simulation and Monte Carlo Methods: Mathematical Foundations of Stochastic Simulation: 68 (Stochastic Modelling and Applied Probability)
Extra info for Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations: 31 (Springer Series in Computational Mathematics)
Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations: 31 (Springer Series in Computational Mathematics) by Ernst Hairer,Christian Lubich,Gerhard Wanner