Author: Alfred CarassoPublisher: Pitman Publishing
ISBN:
Category : Mathematics
Languages : en
Pages : 168
Book Description
Improperly Posed Boundary Value Problems
Author: Alfred CarassoPublisher: Pitman Publishing
ISBN:
Category : Mathematics
Languages : en
Pages : 168
Book Description
Improperly Posed Problems in Partial Differential Equations
Author: L. E. PaynePublisher: SIAM
ISBN: 9781611970463
Category : Mathematics
Languages : en
Pages : 81
Book Description
Improperly posed Cauchy problems are the primary topics in this discussion which assumes that the geometry and coefficients of the equations are known precisely. Appropriate references are made to other classes of improperly posed problems. The contents include straight forward examples of methods eigenfunction, quasireversibility, logarithmic convexity, Lagrange identity, and weighted energy used in treating improperly posed Cauchy problems. The Cauchy problem for a class of second order operator equations is examined as is the question of determining explicit stability inequalities for solving the Cauchy problem for elliptic equations. Among other things, an example with improperly posed perturbed and unperturbed problems is discussed and concavity methods are used to investigate finite escape time for classes of operator equations.
An Approximate Solution of an Improper Boundary Value Problem
Author: Jim Douglas (Jr.)Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 48
Book Description
Difference Methods for Initial-Boundary-Value Problems and Flow Around Bodies
Author: You-lan ZhuPublisher: Springer Science & Business Media
ISBN: 3662067072
Category : Mathematics
Languages : en
Pages : 606
Book Description
Since the appearance of computers, numerical methods for discontinuous solutions of quasi-linear hyperbolic systems of partial differential equations have been among the most important research subjects in numerical analysis. The authors have developed a new difference method (named the singularity-separating method) for quasi-linear hyperbolic systems of partial differential equations. Its most important feature is that it possesses a high accuracy even for problems with singularities such as schocks, contact discontinuities, rarefaction waves and detonations. Besides the thorough description of the method itself, its mathematical foundation (stability-convergence theory of difference schemes for initial-boundary-value hyperbolic problems) and its application to supersonic flow around bodies are discussed. Further, the method of lines and its application to blunt body problems and conical flow problems are described in detail. This book should soon be an important working basis for both graduate students and researchers in the field of partial differential equations as well as in mathematical physics.
Ill-posed Problems for Integrodifferential Equations in Mechanics and Electromagnetic Theory
Author: Frederick BloomPublisher: SIAM
ISBN: 9781611970890
Category : Science
Languages : en
Pages : 231
Book Description
Examines ill-posed, initial-history boundary-value problems associated with systems of partial-integrodifferential equations arising in linear and nonlinear theories of mechanical viscoelasticity, rigid nonconducting material dielectrics, and heat conductors with memory. Variants of two differential inequalities, logarithmic convexity, and concavity are employed. Ideas based on energy arguments, Riemann invariants, and topological dynamics applied to evolution equations are also introduced. These concepts are discussed in an introductory chapter and applied there to initial boundary value problems of linear and nonlinear diffusion and elastodynamics. Subsequent chapters begin with an explanation of the underlying physical theories.
Library of Congress Subject Headings
Author: Library of CongressPublisher:
ISBN:
Category : Subject headings, Library of Congress
Languages : en
Pages : 1880
Book Description
Library of Congress Subject Headings
Author: Library of Congress. Cataloging Policy and Support OfficePublisher:
ISBN:
Category : Subject headings, Library of Congress
Languages : en
Pages : 1938
Book Description
Library of Congress Subject Headings
Author: Publisher:
ISBN:
Category : Subject headings, Library of Congress
Languages : en
Pages :
Book Description
Library of Congress Subject Headings
Author: Library of Congress. Office for Subject Cataloging PolicyPublisher:
ISBN:
Category : Subject headings, Library of Congress
Languages : en
Pages : 1324
Book Description
Ill-posed Problems of Mathematical Physics and Analysis
Author: Mikhail Mikhailovich Lavrent'evPublisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description