Evolution Equations And Approximations - Series on Advances in Mathematics for Applied Sciences 61 (Hardback)
  • Evolution Equations And Approximations - Series on Advances in Mathematics for Applied Sciences 61 (Hardback)
zoom

Evolution Equations And Approximations - Series on Advances in Mathematics for Applied Sciences 61 (Hardback)

(author), (author)
£133.00
Hardback 520 Pages / Published: 28/05/2002
  • We can order this

Usually dispatched within 3 weeks

  • This item has been added to your basket
This book presents an approximation theory for a general class of nonlinear evolution equations in Banach spaces and the semigroup theory, including the linear (Hille-Yosida), nonlinear (Crandall-Liggett) and time-dependent (Crandall-Pazy) theorems.The implicit finite difference method of Euler is shown to generate a sequence convergent to the unique integral solution of evolution equations of the maximal monotone type. Moreover, the Chernoff theory provides a sufficient condition for consistent and stable time integration of time-dependent nonlinear equations. The Trotter-Kato theorem and the Lie-Trotter type product formula give a mathematical framework for the convergence analysis of numerical approximations of solutions to a general class of partial differential equations. This book contains examples demonstrating the applicability of the generation as well as the approximation theory.In addition, the Kobayashi-Oharu approach of locally quasi-dissipative operators is discussed for homogeneous as well as nonhomogeneous equations. Applications to the delay differential equations, Navier-Stokes equation and scalar conservation equation are given.

Publisher: World Scientific Publishing Co Pte Ltd
ISBN: 9789812380265
Number of pages: 520
Weight: 871 g
Dimensions: 198 x 126 x 32 mm

You may also be interested in...

Limits, Limits Everywhere
Added to basket
Guide to Analysis
Added to basket
£51.99
Paperback
Calculus for the Ambitious
Added to basket
Calculus of Variations
Added to basket
Fundamentals of Mathematical Analysis
Added to basket
Measurement
Added to basket
£16.95
Paperback
Schaum's Outline of Calculus
Added to basket
A Brief Guide to the Great Equations
Added to basket
How to Think About Analysis
Added to basket
The Calculus Lifesaver
Added to basket
Maths for Chemistry
Added to basket
£31.99
Paperback
A Student's Guide to Fourier Transforms
Added to basket
The Cartoon Guide to Calculus
Added to basket

Please sign in to write a review

Your review has been submitted successfully.