EVOLUTION EQUATIONS AND APPROXIMATIONS by Kazufumi Ito
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.-
INTEGRAL METHODS IN NONLINEAR DYNAMICS OF SYSTEMS
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MULTIGROUP EQUATIONS FOR THE DESCRIPTION OF THE PARTICLE TRANSPORT IN SEMICONDUCTORS
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COMPUTATIONAL METHODS FOR PDE IN MECHANICS (WITH CD-ROM)
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ADVANCED MATHEMATICAL AND COMPUTATIONAL TOOLS IN METROLOGY VI
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ON THE WAY TO UNDERSTANDING THE TIME PHENOMENON: THE CONSTRUCTIONS OF TIME IN NATURAL SCIENCE, PART 2
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ADVANCED MATHEMATICAL AND COMPUTATIONAL TOOLS IN METROLOGY AND TESTING XI
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MATHEMATICAL METHODS IN ELECTROMAGNETISM: LINEAR THEORY AND APPLICATIONS
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NONSTANDARD METHODS FOR STOCHASTIC FLUID MECHANICS
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METHOD OF MAXIMUM ENTROPY, THE
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NUMERICAL METHODS FOR VISCOSITY SOLUTIONS AND APPLICATIONS
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THERMODYNAMICS AND KINETIC THEORY - PROCEEDINGS OF THE 5TH BILATERAL POLISH-ITALIAN MEETING
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RECENT ADVANCES IN ELASTICITY, VISCOELASTICITY AND INELASTICITY - FESTSCHRIFT VOLUME FOR PROF TSE-CHIEN WOO ON THE OCCASION OF HIS SEVENTIETH BIRTHDAY
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MECHANICS OF MIXTURES
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IMPULSIVE DIFFERENTIAL EQUATIONS: ASYMPTOTIC PROPERTIES OF THE SOLUTIONS
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ADVANCED MATHEMATICAL TOOLS IN METROLOGY III
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NONLINEAR KINETIC THEORY AND MATHEMATICAL ASPECTS OF HYPERBOLIC SYSTEMS
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MESOMECHANICAL CONSTITUTIVE MODELING
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HOMOGENIZATION: IN MEMORY OF SERGUEI KOZLOV
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RECENT ADVANCES IN COMBUSTION MODELLING
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THERMOMECHANICS OF PHASE TRANSITIONS IN CLASSICAL FIELD THEORY
| SKU | Unavailable |
| ISBN 13 | 9789812380265 |
| ISBN 10 | 9812380264 |
| Title | EVOLUTION EQUATIONS AND APPROXIMATIONS |
| Author | Kazufumi Ito |
| Series | Series On Advances In Mathematics For Applied Sciences |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | World Scientific Publishing Co Pte Ltd |
| Year published | 2002-05-28 |
| Number of pages | 520 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |