Mathematical Foundation of the Boundary Integro-Differential Equation Method

Name: Mathematical Foundation of the Boundary Integro-Differential Equation Method
Price: 308.92 AUD
Availability: OutOfStock
ISBN: 9789819510870

Houde Han, Dongsheng Yin

$385.95 $308.92

Hardback

Not in-store but you can order this
How long will it take?

Availability Information

We source books from suppliers in Australia and overseas. For books we don't currently have in stock, the time it takes to get them from our suppliers can vary widely - from a few days to a few months - so we check each book with each supplier to determine the expected time it will take to be supplied to us.

We will update you on expected arrival time to us. If this delay is too long, please let us know within 2 business days and we can give you options regarding cancelling or adjusting your order. More details on cancelling your order can be found in our Terms of Trade.

To find out the anticipated arrival time for specific items prior to ordering, please contact us by phone or email:

Phone +61 2 9264 3111, or 1800 4 BOOKS (1800 4 26657) if outside Sydney:
option 1 Abbey's Bookshop (Crime, History, Science, Kids & more) • info@abbeys.com.au
option 2 Language Book Centre (ESL & Foreign Languages) • language@abbeys.com.au
option 3 Galaxy Bookshop (Sci-fi, Fantasy, Romance, Graphic Novels) • sf@galaxybooks.com.au

QTY:

English

Springer Verlag, Singapore
14 January 2026

Calculus & mathematical analysis; Differential calculus & equations; Numerical analysis

The book focuses on the mathematical foundations of boundary integro-differential equation method, with a primary focus on reducing the hypersingular integrals in traditional boundary integral equations into boundary integro-differential equations with weak singularities. It briefly introduces the theory of distributions, while the boundary integral equations method is grounded in the fundamental solutions of linear partial differential equations, hence a relatively detailed exposition of the fundamental solutions of differential equations is also provided. In the subsequent chapters, the authors sequentially discuss the boundary integro-differential equation methods and theories for Laplace equation, Helmholtz equation, Navier equations, Stokes equations, among others. Furthermore, the book addresses the boundary integro-differential equation method for certain nonlinear problems, such as thermal radiation, variational inequalities, and Steklov eigenvalue problems. Lastly, it explores the symmetric coupling issues between finite element and boundary element methods.

By: Houde Han, Dongsheng Yin
Imprint: Springer Verlag, Singapore
Country of Publication: Singapore
Dimensions: Height: 235mm, Width: 155mm,
ISBN: 9789819510870
ISBN 10: 9819510872
Pages: 305
Publication Date: 14 January 2026
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Chapter 1 Distributions.- Chapter 2 Fundamental Solutions of Linear Differential Operators.- Chapter 3 Boundary Value Problems of the Laplace Equations.- Chapter 4 Boundary Value Problem of Modified Helmholtz Equation.- Chapter 5 Boundary Value Problems of Helmholtz Equation.- Chapter 6 Boundary Value Problems of the Navier Equations.- Chapter 7 Boundary Value Problems of the Stokes Equations.- Chapter 8 Some Nonlinear Problems.- Chapter 9 Coercive and Symmetrical Coupling Methods of Finite Element Method and Boundary Element Method.

Han Houde is a professor at Tsinghua University who has devoted himself to the teaching and scientific research of computational mathematics. He has achieved significant breakthroughs in the study of numerical solutions of partial differential equations, demonstrating a series of creative research results. In particular, he has made important contributions to the numerical solutions of partial differential equations on unbounded domains and the coupling method of the finite element method and boundary element method. Additionally, he has contributed to the numerical solutions of boundary integral-differential equations and variational inequalities problems, as well as the numerical solutions of singular perturbation problems, ill-posed problems, and infinite element methods. Yin Dongsheng is an associate professor at Tsinghua University whose research interest is mainly focused on high frequency waves, partial differential equations on unbounded domains, and fractional differential equations.