000			03447cam a2200421 a 4500
001			29953232
003			PTSN
005			20240619150600.0
008			211110t19941994flu b 001 0 eng
015			_aGB9472951 _2bnb
020			_a0849394066
020			_a9781138104969 _q(hardcover)
020			_a9780849394065
035			_a(OCoLC)29953232
040			_beng _erda _dSFPAGOH
050	0	0	_aQA360 _b.V65 1994
100	1		_aVolkov, E. A
245	1	0	_aBlock method for solving the Laplace equation and for constructing conformal mappings / _cE.A. Volkov
264		1	_aBoca Raton, Fla. : _bCRC Press, _c[1994]
264		4	_c©1994
300			_ax, 227 pages ; _c24 cm
336			_atext _btxt _2rdacontent
337			_aunmediated _bn _2rdamedia
338			_avolume _bnc _2rdacarrier
504			_aIncludes bibliographical references (pages 220-224) and index
505	0		_aCh. 1. Approximate Block Method for Solving the Laplace Equation on Polygons. 1. Setting up a Mixed Boundary-Value Problem for the Laplace Equation on a Polygon. 2. A Finite Covering of a Polygon by Blocks of Three Types. 3. Representation of the Solution of a Boundary-Value Problem on Blocks. 4. An Algebraic Problem. 5. The Main Result. 6. Proofs of Theorem 5.1 and of Lemmas 4.1-4.4. 7. The Stability and the Labor Content of Computations Required by the Block Method. 8. Approximation of a Conjugate Harmonic Function on Blocks. 9. Neumann's Problem. 10. The Case of Arbitrary Analytic Mixed Boundary Conditions -- Ch. 2. Approximate Block Method of Conformal Mapping of Polygons onto Canonical Domains. 11. Approximate Conformal Mapping of a Simply-Connected Polygon onto a Disk. 12. Basic Harmonic Functions. 13. Approximate Conformal Mapping of a Multiply-Connected Polygon onto a Plane with Cuts along Parallel Line Segments
505	0		_a14. Approximate Conformal Mapping of a Multiply-Connected Polygon onto a Ring with Cuts along the Arcs of Concentric Circles -- Ch. 3. Development and Application of the Approximate Block Method for Conformal Mapping of Simply-Connected and Doubly-Connected Domains. 15. Approximate Conformal Mapping of Some Polygons onto a Strip. 16. Scheme of Constructing a Conformal Mapping of a Doubly-Connected Domain onto a Ring. 17. Mapping a Square Frame onto a Ring. 18. Mapping a Square with a Circular Hole Using Circular Lune Block. 19. Representation of a Harmonic Function on a Ring. 20. Using a Block-Ring for Mapping Domain (18.1) onto a Ring. 21. A Block-Bridge. 22. Limit Cases. 23. Mapping a Disk with an Elliptic Hole or with a Retrosection onto a Ring. 24. Mapping a Disk with a Regular Polygonal Hole. 25. Mapping the Exterior of a Parabola with a Hole onto a Ring -- Ch. 4. Approximate Conformal Mapping of Domains with a Periodic Structure by the Block Method
505	0		_a26. Mapping a Domain of the Type of Half-Plane with a Periodic Structure onto a Half-Plane. 27. Mapping a Domain of the Type of Strip with a Periodic Structure onto a Strip. 28. Mapping the Exterior of a Lattice of Ellipses onto the Exterior of a Lattice of Plates
650		0	_aConformal mapping
650		0	_aHarmonic functions
653	0		_aFunctions (Mathematics)
907			_a.b10567021 _b19-09-23 _c23-02-21
998			_am _b01-11-21 _ca _d- _e- _feng _gflu _h0
999			_c48035 _d48035