Periodic Integral and Pseudodifferential Equations with Numerical Approximation
نام عام مواد
[Book]
نام نخستين پديدآور
by Jukka Saranen, Gennadi Vainikko.
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
Berlin, Heidelberg
نام ناشر، پخش کننده و غيره
Springer Berlin Heidelberg
تاریخ نشرو بخش و غیره
2002
مشخصات ظاهری
نام خاص و کميت اثر
(xi, 452 pages)
فروست
عنوان فروست
Springer monographs in mathematics.
یادداشتهای مربوط به مندرجات
متن يادداشت
1 Preliminaries --; 2 Single Layer and Double Layer Potentials --; 3 Solution of Boundary Value Problems by Integral Equations --; 4 Singular Integral Equations --; 5 Boundary Integral Operators in Periodic Sobolev Spaces --; 6 Periodic Integral Equations --; 7 Periodic Pseudodifferential Operators --; 8 Trigonometric Interpolation --; 9 Galerkin Method and Fast Solvers --; 10 Trigonometric Collocation --; 11 Integral Equations on an Open Arc --; 12 Quadrature Methods --; 13 Spline Approximation Methods.
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
Classical boundary integral equations arising from the potential theory and acoustics (Laplace and Helmholtz equations) are derived. Using the parametrization of the boundary these equations take a form of periodic pseudodifferential equations. A general theory of periodic pseudodifferential equations and methods of solving are developed, including trigonometric Galerkin and collocation methods, their fully discrete versions with fast solvers, quadrature and spline based methods. The theory of periodic pseudodifferential operators is presented in details, with preliminaries (Fredholm operators, periodic distributions, periodic Sobolev spaces) and full proofs. This self-contained monograph can be used as a textbook by graduate/postgraduate students. It also contains a lot of carefully chosen exercises.
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Computer science -- Mathematics.
موضوع مستند نشده
Global analysis (Mathematics)
موضوع مستند نشده
Mathematics.
رده بندی کنگره
شماره رده
QA329
.
7
نشانه اثر
B958
2002
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )