
eBook - PDF
Spherical and Plane Integral Operators for PDEs
Construction, Analysis, and Applications
- 338 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Spherical and Plane Integral Operators for PDEs
Construction, Analysis, and Applications
About this book
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.
Frequently asked questions
Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription.
No, books cannot be downloaded as external files, such as PDFs, for use outside of Perlego. However, you can download books within the Perlego app for offline reading on mobile or tablet. Learn more here.
Perlego offers two plans: Essential and Complete
- Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
- Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Yes! You can use the Perlego app on both iOS or Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Spherical and Plane Integral Operators for PDEs by Karl K. Sabelfeld,Irina A. Shalimova in PDF and/or ePUB format, as well as other popular books in Mathematik & Angewandte Mathematik. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Preface
- 1 Introduction
- 2 Scalar second-order PDEs
- 3 High-order elliptic equations
- 4 Triangular systems of elliptic equations
- 5 Systems of elasticity theory
- 6 The generalized Poisson formula for the Lamé equation
- 7 Spherical means for the stress and strain tensors
- 8 Random Walk on Spheres method
- 9 Random Walk on Fixed Spheres for Laplace and Lamé equations
- 10 Stochastic spectral projection method for solving PDEs
- 11 Stochastic boundary collocation and spectral methods
- 12 Solution of 2D elasticity problems with random loads
- 13 Boundary value problems with random boundary conditions
- 13.3 3D Laplace equation
- Bibliography
- Index