Details

Autor(en) / Beteiligte

• Reinhardt, H.-J

Titel

Analysis of Approximation Methods for Differential and Integral Equations [Elektronische Ressource]

Ist Teil von

• Applied Mathematical Sciences : 57

Ort / Verlag

New York, NY : Springer New York

Erscheinungsjahr

1985

Link zum Volltext

• Volltext

Link zu anderen Inhalten

• Volltext

Beschreibungen/Notizen

• This book is primarily based on the research done by the Numerical Analysis Group at the Goethe-Universitat in Frankfurt/Main, and on material presented in several graduate courses by the author between 1977 and 1981. It is hoped that the text will be useful for graduate students and for scientists interested in studying a fundamental theoretical analysis of numerical methods along with its application to the most diverse classes of differential and integral equations. The text treats numerous methods for approximating solutions of three classes of problems: (elliptic) boundary-value problems, (hyperbolic and parabolic) initial value problems in partial differential equations, and integral equations of the second kind. The aim is to develop a unifying convergence theory, and thereby prove the convergence of, as well as provide error estimates for, the approximations generated by specific numerical methods. The schemes for numerically solving boundary-value problems are additionally divided into the two categories of finitedifference methods and of projection methods for approximating their variational formulations