Sergio Blanes,Fernando Casas's A Concise Introduction to Geometric Numerical Integration PDF

By Sergio Blanes,Fernando Casas

Discover How Geometric Integrators shield the most Qualitative houses of continuing Dynamical Systems

A Concise creation to Geometric Numerical Integration provides the most issues, thoughts, and purposes of geometric integrators for researchers in arithmetic, physics, astronomy, and chemistry who're already accustomed to numerical instruments for fixing differential equations. It additionally deals a bridge from conventional education within the numerical research of differential equations to knowing contemporary, complicated learn literature on numerical geometric integration.

The e-book first examines high-order classical integration equipment from the constitution upkeep perspective. It then illustrates easy methods to build high-order integrators through the composition of uncomplicated low-order tools and analyzes the assumption of splitting. It subsequent reports symplectic integrators built at once from the speculation of producing capabilities in addition to the real class of variational integrators. The authors additionally clarify the connection among the protection of the geometric homes of a numerical technique and the saw favorable mistakes propagation in long-time integration. The ebook concludes with an research of the applicability of splitting and composition the way to convinced sessions of partial differential equations, comparable to the Schrödinger equation and different evolution equations.

The motivation of geometric numerical integration is not just to advance numerical tools with better qualitative habit but in addition to supply extra actual long-time integration effects than these bought via general-purpose algorithms. available to researchers and post-graduate scholars from assorted backgrounds, this introductory ebook will get readers in control at the rules, equipment, and functions of this box. Readers can reproduce the figures and effects given within the textual content utilizing the MATLAB® courses and version records on hand online.

Show description

Read Online or Download A Concise Introduction to Geometric Numerical Integration (Chapman & Hall/CRC Monographs and Research Notes in Mathematics) PDF

Best number systems books

Download PDF by Wolfgang E. Nagel,Willi Jäger: High Performance Computing in Science and Engineering ' 05:

This booklet offers the cutting-edge in modelling and simulation on supercomputers. top German researchers current effects accomplished on structures of the excessive functionality Computing middle Stuttgart (HLRS) for the yr 2005. The stories conceal all fields of computational technology and engineering, starting from CFD through computational physics and chemistry to desktop technological know-how.

Read e-book online Free Boundary Problems: Theory and Applications: 154 PDF

This booklet collects refereed lectures and communications awarded on the unfastened Boundary difficulties convention (FBP2005). those speak about the math of a wide classification of versions and difficulties concerning nonlinear partial differential equations coming up in physics, engineering, biology and finance. between different themes, the talks thought of loose boundary difficulties in biomedicine, in porous media, in thermodynamic modeling, in fluid mechanics, in photo processing, in monetary arithmetic or in computations for inter-scale difficulties.

Download PDF by Rainer Kress: Linear Integral Equations (Applied Mathematical Sciences)

This ebook combines thought, functions, and numerical equipment, and covers every one of those fields with a similar weight. which will make the booklet obtainable to mathematicians, physicists, and engineers alike, the writer has made it as self-contained as attainable, requiring just a reliable beginning in differential and necessary calculus.

Pierre Saramito's Complex fluids: Modeling and Algorithms (Mathématiques et PDF

This booklet offers a finished evaluate of the modeling of advanced fluids, together with many universal elements, comparable to toothpaste, hair gel, mayonnaise, liquid foam, cement and blood, which can't be defined via Navier-Stokes equations. It additionally bargains an updated mathematical and numerical research of the corresponding equations, in addition to a number of sensible numerical algorithms and software program suggestions for the approximation of the strategies.

Extra info for A Concise Introduction to Geometric Numerical Integration (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)

Sample text

Download PDF sample

A Concise Introduction to Geometric Numerical Integration (Chapman & Hall/CRC Monographs and Research Notes in Mathematics) by Sergio Blanes,Fernando Casas

by Brian

Rated 4.79 of 5 – based on 18 votes