P. Henrici, Applied and Computational Complex Analysis, Volume 1, Wiley, New York, 1974. Home/Search Document Not in Database Summary Related Articles Check |
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The Numerical Solution of the Biharmonic Equation by.. - Chan, DeLillo, Horn (1995) (Correct)
....multipole method, which costs only O(N) but with a large constant, so that large N are required in practice for it to be faster than the FFT. Below, we will use the FFT based numerical conformal mapping method given in [Weg] Introductions to numerical conformal mapping can be found in [Ga] and [He]. The outline of the paper is as follows. In section 2, we discuss the solution of boundary value problems for the biharmonic equation in terms of Goursat functions and the conformal map from the disk to the plane region. In section 3, we discuss the special structure of the exact linear system. ....
P. Henrici, Applied and Computational Complex Analysis, Vol. III, John Wiley, New York, 1986.
PRECISE: Efficient Multiprecision Evaluation of.. - Krishnan, Foskey, .. (2001) (Correct)
....approximations to the roots of the original polynomial. In this section, we will state the basic results which determine our choice of initial approximations. The proofs are omitted here for the sake of brevity. We refer the reader to [31] for complete details. We now state Rouche s theorem [38, 26] from classical complex analysis. This forms the basis of our results. THEOREM 1. If k dY are analytic interior to a simple closed Jordan curve , continuous and non vanishing on V k dY V 2V dY V Rdg , then the function k dC MDk dC H have the same number of zeros ....
P. Henrici. Applied and Computational Complex Analysis, Vol. 1. John Wiley & Sons, New York, 1974.
The Ehrlich-Aberth Method For The - Nonsymmetric Tridiagonal Eigenvalue (Correct)
....to the eigenvalue #. By following a continuity argument, we may deduce that if # 1 and # 2 are eigenvalues of T 1 and T 2 , respectively, such that is small, then T = T 1 #T 2 ) uv has an eigenvalue close to # 1 and # 2 . Our next theorem relies on the following lemma from Henrici [16]. Lemma 3.4. Let p(#) be a polynomial of degree n in #, and let z be any complex number. Then the disk of center z and radius n p(z) p (z) contains at least one zero of p(#) Theorem 3.5. Assume that T 1 R kk and T 2 R (n k) n k) are both diagonalizable, that is, there exist X 1 , X ....
P. Henrici, Applied and Computational Complex Analysis, vol. 1, Wiley, New York, 1974.
Fourth-Order Time Stepping For Stiff Pdes - Kassam, Trefethen (Correct)
....same approach works, with the term 1 (t z) becoming the resolvent matrix (tI L) 1 : f(L) 1 f(t) tI L) 1 dt. 2. 7) Contour integrals of analytic functions (scalar or matrix) in the complex plane are easy to evaluate by means of the trapezoid rule, which converges exponentially [12, 17, 43]. In practice we take # to be a circle and usually find that 32 64 equally spaced points are su#cient. When L is real, we can exploit the symmetry and evaluate only in equally spaced points on the upper half of a circle centered on the real axis, then take the real part of the result. The scalars ....
P. Henrici, Applied and Computational Complex Analysis, v. 3 , (Wiley, New York, 1986).
Enumeration of Tilings of Diamonds and Hexagons with Defects - Helfgott, Gessel (1999) (2 citations) (Correct)
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P. Henrici, Applied and Computational Complex Analysis, Volume 1, Wiley, New York, 1974.
Fourth-Order Time Stepping for Stiff PDEs - Kassam, Trefethen (Correct)
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P. Henrici, Applied and Computational Complex Analysis, v. 3 , (Wiley, New York, 1986).
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Henrici, P. Applied and Computational Complex Analysis. John Wiley, New York, 1977. 3 volumes.
Airy Phenomena and Analytic Combinatorics of Connected Graphs - Flajolet, Salvy, Schaeffer (2004) (1 citation) (Correct)
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Henrici, P. Applied and Computational Complex Analysis. John Wiley, New York, 1977. 3 volumes.
Partial Match Queries in Random Quadtrees - Hua-Huai Chern Department (Correct)
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P. Henrici, Applied and Computational Complex Analysis, Volume 1, John Wiley & Sons, New York (1973).
Conformal Transplantation of Lightness to Varying Resolution - Sensors Brian Funt (1993) (1 citation) (Correct)
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P. Henrici. Applied and Computational Complex Analysis. Wiley, New York, 1974.
Partial Match Queries in Random Quadtrees - Hua-Huai Chern Department (Correct)
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P. Henrici, Applied and Computational Complex Analysis, Volume 1, John Wiley & Sons, New York (1973).
Rare Events and Conditional Events on Random Strings - Regnier, Denise (2004) (Correct)
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P. Henrici. Applied and Computational Complex Analysis. John Wiley, New York, 1977.
Buffer Overflow Bounds for Multiplexed Regulated.. - Guillemin, Likhanov, .. (Correct)
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P. Henrici, Applied and computational complex analysis, Vol. 2 Wiley, New York, 1977.
Numerical Solution of the Omitted Area Problem of Univalent.. - Banjai, Trefethen (Correct)
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Henrici, P., Applied and Computational Complex Analysis, vol. III, Wiley, New York, 1986.
Rare Events and Conditional Events on Random Strings - Regnier, Denise (2004) (Correct)
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P. Henrici. Applied and Computational Complex Analysis. John Wiley, New York, 1977.
Airy Phenomena and Analytic Combinatorics of Connected Graphs - Flajolet, Salvy, Schaeffer (2004) (1 citation) (Correct)
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Henrici, P. Applied and Computational Complex Analysis. John Wiley, New York, 1977. 3 volumes.
Airy Phenomena and Analytic Combinatorics of Connected Graphs - Flajolet, Salvy, Schaeffer (2004) (1 citation) (Correct)
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Henrici, P. Applied and Computational Complex Analysis. John Wiley, New York, 1977. 3 volumes.
Rare Events and Conditional Events on Random Strings - Regnier, Denise (2004) (Correct)
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P. Henrici. Applied and Computational Complex Analysis. John Wiley, New York, 1977.
Basic Analytic Combinatorics of Directed Lattice Paths - Banderier, Flajolet (2001) (9 citations) (Correct)
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P. Henrici. Applied and Computational Complex Analysis. Wiley, 1988.
The Ehrlich-Aberth Method For The - Nonsymmetric Tridiagonal Eigenvalue (Correct)
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P. Henrici, Applied and Computational Complex Analysis, vol. 1, Wiley, New York, 1974.
A Modified Companion Matrix Method Based On Newton.. - Calvetti, Reichel, Sgallari (Correct)
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P. Henrici, Applied and Computational Complex Analysis, vol. 1, Wiley, New York, 1974.
Asymptotic properties of Heine-Stieltjes and Van.. -.. (Correct)
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P. Henrici, Applied and Computational Complex Analysis, vol. 3, John Wiley & Sons Inc., New Yor3 1986.
Fast Computation with Two Algebraic Numbers - Bostan, Flajolet, Salvy, Schost (2002) (Correct)
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P. Henrici. Applied and computational complex analysis. Vol. 3. John Wiley & Sons Inc., New York, 1986. Discrete Fourier analysis---Cauchy integrals---construction of conformal maps--- univalent functions, A Wiley-Interscience Publication.
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