Spherical and Plane Integral Operators for PDEs

Construction, Analysis, and Applications
1. Auflage 2013
ISBN: 978-3-11-031529-5
Verlag: De Gruyter

Buch, Englisch, 328 Seiten, Format (B × H): 175 mm x 246 mm, Gewicht: 753 g

The book presents integral formulations for partial differential equations, with the focus on spherical and plane integral operators. The integral relations are obtained for different elliptic and parabolic equations, and both direct and inverse mean value relations are studied. The derived integral equations are used to construct new numerical methods for solving relevant boundary value problems, both deterministic and stochastic based on probabilistic interpretation of the spherical and plane integral operators.

Zielgruppe

Advanced readers and specialists in mathematical physics and nume

Autoren/Hrsg.

Shalimova, Irina A.

Sabelfeld, Karl K.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik

Über Autor(innen)

Karl Sabelfeld and Irina Shalimova, Russian Academy of Sciences and Novosibirsk University, Novosibirsk, Russia.