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A Posteriori Error Analysis via Duality Theor: With Applications in Modeling and Numerical Approximations

Weimin Han

Resumen/Descripción – provisto por la editorial

No disponible.

Palabras clave – provistas por la editorial

Numerical Analysis

Disponibilidad
Institución detectada Año de publicación Navegá Descargá Solicitá
No detectada 2005 SpringerLink

Información

Tipo de recurso:

libros

ISBN impreso

978-0-387-23536-3

ISBN electrónico

978-0-387-23537-0

Editor responsable

Springer Nature

País de edición

Reino Unido

Fecha de publicación

Información sobre derechos de publicación

© Springer Science+Business Media, Inc. 2005

Cobertura temática

Tabla de contenidos

Preliminaries

Weimin Han

Though measurement and the discovery of empirical laws presuppose the adoption of an epistemological realism, they leave untouched that aspect of realitywhich empiricists have been most concerned to avoid, namely causes that are actually productive of their effects. In the belief that such causes are truly unknowable, empiricists have either forbidden their investigation, or replaced them with ‘causes’ that are simply manifestations of the principle of the uniformity of nature, i.e. constant conjunctions. The aspect of modern science we shall consider now is precisely that which investigates the nature of real causes, and it is thus fundamentally realist in its orientation. In its paradigmatic form it involves the construction of theories intended to explain empirical laws by indicating both the regular causes underlying them, as well as how those causes operate in such a way as to be contiguous with their effects.

Pp. 1-45

Elements of Convex Analysis, Duality Theory

Weimin Han

Though measurement and the discovery of empirical laws presuppose the adoption of an epistemological realism, they leave untouched that aspect of realitywhich empiricists have been most concerned to avoid, namely causes that are actually productive of their effects. In the belief that such causes are truly unknowable, empiricists have either forbidden their investigation, or replaced them with ‘causes’ that are simply manifestations of the principle of the uniformity of nature, i.e. constant conjunctions. The aspect of modern science we shall consider now is precisely that which investigates the nature of real causes, and it is thus fundamentally realist in its orientation. In its paradigmatic form it involves the construction of theories intended to explain empirical laws by indicating both the regular causes underlying them, as well as how those causes operate in such a way as to be contiguous with their effects.

Pp. 47-66

A Posteriori Error Analysis for Idealizations in Linear Problems

Weimin Han

Though measurement and the discovery of empirical laws presuppose the adoption of an epistemological realism, they leave untouched that aspect of realitywhich empiricists have been most concerned to avoid, namely causes that are actually productive of their effects. In the belief that such causes are truly unknowable, empiricists have either forbidden their investigation, or replaced them with ‘causes’ that are simply manifestations of the principle of the uniformity of nature, i.e. constant conjunctions. The aspect of modern science we shall consider now is precisely that which investigates the nature of real causes, and it is thus fundamentally realist in its orientation. In its paradigmatic form it involves the construction of theories intended to explain empirical laws by indicating both the regular causes underlying them, as well as how those causes operate in such a way as to be contiguous with their effects.

Pp. 67-125

A Posteriori Error Analysis for Linearizations

Weimin Han

Though measurement and the discovery of empirical laws presuppose the adoption of an epistemological realism, they leave untouched that aspect of realitywhich empiricists have been most concerned to avoid, namely causes that are actually productive of their effects. In the belief that such causes are truly unknowable, empiricists have either forbidden their investigation, or replaced them with ‘causes’ that are simply manifestations of the principle of the uniformity of nature, i.e. constant conjunctions. The aspect of modern science we shall consider now is precisely that which investigates the nature of real causes, and it is thus fundamentally realist in its orientation. In its paradigmatic form it involves the construction of theories intended to explain empirical laws by indicating both the regular causes underlying them, as well as how those causes operate in such a way as to be contiguous with their effects.

Pp. 127-192

A Posteriori Error Analysis for Some Numerical Procedures

Weimin Han

Though measurement and the discovery of empirical laws presuppose the adoption of an epistemological realism, they leave untouched that aspect of realitywhich empiricists have been most concerned to avoid, namely causes that are actually productive of their effects. In the belief that such causes are truly unknowable, empiricists have either forbidden their investigation, or replaced them with ‘causes’ that are simply manifestations of the principle of the uniformity of nature, i.e. constant conjunctions. The aspect of modern science we shall consider now is precisely that which investigates the nature of real causes, and it is thus fundamentally realist in its orientation. In its paradigmatic form it involves the construction of theories intended to explain empirical laws by indicating both the regular causes underlying them, as well as how those causes operate in such a way as to be contiguous with their effects.

Pp. 193-233

Error Analysis for Variational Inequalities of the Second Kind

Weimin Han

Though measurement and the discovery of empirical laws presuppose the adoption of an epistemological realism, they leave untouched that aspect of realitywhich empiricists have been most concerned to avoid, namely causes that are actually productive of their effects. In the belief that such causes are truly unknowable, empiricists have either forbidden their investigation, or replaced them with ‘causes’ that are simply manifestations of the principle of the uniformity of nature, i.e. constant conjunctions. The aspect of modern science we shall consider now is precisely that which investigates the nature of real causes, and it is thus fundamentally realist in its orientation. In its paradigmatic form it involves the construction of theories intended to explain empirical laws by indicating both the regular causes underlying them, as well as how those causes operate in such a way as to be contiguous with their effects.

Pp. 235-285