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100 1 |a Jerome, Joseph W. 
245 1 0 |a Approximation of nonlinear evolution systems /  |c Joseph W. Jerome. 
260 |a New York :  |b Academic Press,  |c 1983. 
300 |a 1 online resource (xx, 280 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Mathematics in science and engineering ;  |v v. 164 
504 |a Includes bibliographical references and index. 
588 0 |a Print version record. 
506 |3 Use copy  |f Restrictions unspecified  |2 star  |5 MiAaHDL 
533 |a Electronic reproduction.  |b [Place of publication not identified] :  |c HathiTrust Digital Library,  |d 2010.  |5 MiAaHDL 
538 |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.  |u http://purl.oclc.org/DLF/benchrepro0212  |5 MiAaHDL 
583 1 |a digitized  |c 2010  |h HathiTrust Digital Library  |l committed to preserve  |2 pda  |5 MiAaHDL 
505 0 |a Front Cover; Approximation of Nonlinear Evolution Systems; Copyright Page; Contents; Preface; Acknowledgments; List of Symbols and Definitions; Introduction; PART I: GLOBAL WEAK SOLUTIONS; Chapter 1. Problem Formulations and Uniqueness for Dissipative Parabolic Models; 1.0 Introduction; 1.1 Heat Conduction with Change of Phase: Stefan Problems; 1.2 Unsaturated Fluid Infiltration in Porous Media; 1.3 Reaction-Diffusion Systems; 1.4 Incompressible, Viscous Fluid Dynamics at Constant Temperature: Navier-Stokes Equations and Generalizations; 1.5 Uniqueness of Solutions 
505 8 |a 1.6 Bibliographical RemarksReferences; Chapter 2. Convergent Regularizations and Pointwise Stability of Implicit Schemes; 2.0 Introduction; 2.1 Regularization in the Stefan Problem; 2.2 Semidiscrete Regularization and Maximum Principles in the Stefan Problem; 2.3 Regularization in the Porous-Medium Equation; 2.4 Nonnegative Semidiscrete Solutions of Porous-Medium Equation and Maximum Principles; 2.5 Invariant Rectangles and Maximum Principles for Reaction-Diffusion Systems in Semidiscrete Form; 2.6 Bibliographical Remarks; References; Chapter 3. Nonlinear Elliptic Equations and Inequalities 
505 8 |a 3.0 Introduction3.1 General Operator Results in Banach Spaces and Ordered Spaces; 3.2 Applications and Examples; 3.3 Semidiscretizations Defined by Quadrature; 3.4 Bibliographical Remarks; References; Chapter 4. Numerical Optimality and the Approximate Solution of Degenerate Parabolic Equations; 4.0 Introduction; 4.1 Representations of Sobolev-Type and Upper-Bound Estimates; 4.2 Lower-Bound Estimates and N-Widths; 4.3 Convergence Rates for the Continuous Galerkin Method; 4.4 Convergence Rates for Semidiscrete Approximations; 4.5 Bibliographical Remarks; References 
505 8 |a Chapter 5. Existence Analysis via the Stability of Consistent Semidiscrete Approximations5.0 Introduction; 5.1 Stability in Sobolev Norms for Semidiscretizations of Degenerate Parabolic Equations; 5.2 Existence of Weak Solutions for the Stefan Problem and the Porous-Medium Equation and Approximation Results; 5.3 Existence for Reaction-Diffusion Systems; 5.4 Existence for the Generalized Form of the Navier-Stokes Equations for Incompressible Fluids; 5.5 Bibliographical Remarks; References; PART II: LOGCAL SMOOTH SOLUTIONS; Chapter 6. Linear Evolution Operators; 6.0 Introduction 
505 8 |a 6.1 Semigroup Preliminaries6.2 The Linear Evolution Equation and Evolution Operators; 6.3 Peturbations of Generators and Regularity of Evolution Operators; 6.4 The Inhomogeneous Problem and an Application to Linear Symmetric Hyperbolic Systems; 6.5 Bibliographical Remarks; References; Chapter 7. Quasi-linear Equations of Evolution; 7.0 Introduction; 7.1 Perturbation of the Linear Problem and Nonlinear Preliminaries; 7.2 The Quasi-linear Cauchy Problem in Banach Space; 7.3 Quasi-linear Second-Order Hyperbolic Systems; 7.4 The Vacuum Field Equations of General Relativity 
520 |a Approximation of nonlinear evolution systems. 
650 0 |a Evolution equations, Nonlinear  |x Numerical solutions. 
650 0 |a Approximation theory. 
650 6 |a �Equations d'�evolution non lin�eaires  |x Solutions num�eriques.  |0 (CaQQLa)201-0093185 
650 6 |a Th�eorie de l'approximation.  |0 (CaQQLa)201-0021344 
650 7 |a MATHEMATICS  |x Differential Equations  |x Partial.  |2 bisacsh 
650 7 |a Approximation theory  |2 fast  |0 (OCoLC)fst00811829 
650 7 |a Evolution equations, Nonlinear  |x Numerical solutions  |2 fast  |0 (OCoLC)fst00917336 
653 |a Nonlinear evolution equations 
776 0 8 |i Print version:  |a Jerome, Joseph W.  |t Approximation of nonlinear evolution systems.  |d New York : Academic Press, 1983  |z 9780123846808  |w (DLC) 82008808  |w (OCoLC)8476537 
830 0 |a Mathematics in science and engineering ;  |v v. 164. 
856 4 0 |u https://sciencedirect.uam.elogim.com/science/book/9780123846808  |z Texto completo 
856 4 0 |u https://sciencedirect.uam.elogim.com/science/publication?issn=00765392&volume=164  |z Texto completo 
856 4 0 |u https://sciencedirect.uam.elogim.com/science/bookseries/00765392/164  |z Texto completo