21. 41-XX 41XX approximations and expansions,. 41A60 Asymptotic approximations,asymptotic expansions (steepest descent, etc.), See also {30E15}; http://www.ma.hw.ac.uk/~chris/MR/41-XX.html

41-XX Approximations and expansions, and and 41-00 General reference works (handbooks, dictionaries, bibliographies, etc.) 41-01 Instructional exposition (textbooks, tutorial papers, etc.) 41-02 Research exposition (monographs, survey articles) 41-03 Historical (must be assigned at least one classification number from 01-XX 41-04 Explicit machine computation and programs (not the theory of computation or programming) 41-06 Proceedings, conferences, collections, etc. and 41A15 Spline approximation 41A17 Inequalities in approximation (Bernstein, Jackson, Nikolskiui type inequalities) 41A20 Approximation by rational functions 41A21 Pade approximation 41A25 Rate of convergence, degree of approximation 41A27 Inverse theorems 41A28 Simultaneous approximation 41A29 Approximation with constraints 41A30 Approximation by other special function classes 41A35 Approximation by operators (in particular, by integral operators) 41A36 Approximation by positive operators 41A40 Saturation 41A44 Best constants 41A45 Approximation by arbitrary linear expressions 41A46 Approximation by arbitrary nonlinear expressions; widths and entropy

22. CoLab Document Server - Subject: 41-xx Approximations And Expansions Subject 41xx approximations and expansions. MSC Classification Scheme (165) 41-xxapproximations and expansions (19) 41Axx approximations and expansions (18). http://eprints.cecm.sfu.ca/view/subjects/41-XX.html

Home About Browse Search ... Help Subject: 41-xx Approximations and expansions MSC Classification Scheme 41-xx Approximations and expansions 41Axx Approximations and expansions Number of records: Borwein, Peter and Erdelyi, Tamas (1995) A Sharp Bernstein-type inequality for exponential sums. This list was generated on Sat Jun 5 01:33:20 PDT 2004 Site Administrator: hwiersma@cecm.sfu.ca

23. CoLab Document Server - Subject: 41Axx Approximations And Expansions Subject 41Axx approximations and expansions. MSC Classification Scheme (165) 41xxapproximations and expansions (19) 41Axx approximations and expansions (18). http://eprints.cecm.sfu.ca/view/subjects/41AXX.html

Home About Browse Search ... Help Subject: 41Axx Approximations and expansions MSC Classification Scheme 41-xx Approximations and expansions 41Axx Approximations and expansions Number of records: Borwein, Peter and Erdelyi, Tamas (1995) A Sharp Bernstein-type inequality for exponential sums. Bauschke, Heinz H. and Combettes, Patrick L. (1999) A Weak-to-Strong Convergence Principle for Fejer-Monotone Methods in Hilbert Spaces. Hundal, Hein and Deutsch, F. R. and Park, Sung-Ho and Bauschke, Heinz H. (1999) Accelerating the convergence of the method of alternating projections. Bauschke, Heinz H. (2002) Duality for Bregman projections onto translated cones and affine subspaces . ... Borwein, Jonathan M. and Huang, W. (1994) Uniform Convergence for Moment Problems with Fermi-Dirac Type Entropies. This list was generated on Sat Jun 5 01:33:21 PDT 2004 Site Administrator: hwiersma@cecm.sfu.ca

24. DLMF: Index series expansion §ST.11(ii) software §ST.16 application Airy functions §AI.15,§AI.16, §AI.17 asymptotic approximations and expansions acceleration of §AS http://dlmf.nist.gov/Draft/TheIndex.php

Index A B C D ... Z A Abel-Plana formula addition theorem confluent hypergeometric functions Kummer Whittaker Airy functions application asymptotic expansion exponentially-improved computation Pt.AI.IV connection formula differential equation expansion in Chebyshev series generalized graph incomplete integral asymptotic expansion expansion in Chebyshev series software tables integral representation Laplace transform Maclaurin series Mellin transform modulus and phase notation numerical approximation numerically satisfactory pairs product relation to Bessel functions confluent hypergeometric functions Scorer functions software Stieltjes transform tables Wronskian zeros asymptotic expansion tables analytic continuation incomplete gamma functions Struve functions Anger function notation Anger-Weber functions asymptotic expansion asymptotics large argument large order large order and argument Bessel series connection formula definition integral particular values positive integer order recurrence relation series expansion software application Airy functions asymptotic approximations and expansions acceleration of cases of failure definition differentiation exponentially-improved generalized integration numerical transformation numerical use operations with remainder terms resurgence reversion uniform uniqueness via connection formula asymptotic expansion Airy functions integral zeros Anger-Weber functions confluent hypergeometric functions large argument large parameter small argument generalized exponential integral generalized sine and cosine integrals hypergeometric functions incomplete beta function

25. DLMF: §CH.22 Asymptotic Expansions For Large Parameters. Part Of Ch.CH Confluen Asymptotic expansions for Large Parameters Notes. Subsections, CH.22(i) Large Notes.When fixed then CH.22.1, for fixed. CH.22.2, for fixed. as . These approximations http://dlmf.nist.gov/Draft/CH/CH.22.html

Ch.CH Confluent Hypergeometric Functions by Adri Olde Daalhuis Whittaker Functions CH.22 Asymptotic Expansions for Large Parameters Notes Subsections Large Uniform asymptotic approximations in terms of parabolic cylinder functions Large Uniform asymptotic approximations in terms of Bessel functions ... Uniform asymptotic approximations in terms of Airy functions CH.22(i) Large Notes When fixed then CH.22.1 for fixed CH.22.2 for fixed as . These approximations hold in the sector Let , then CH.22.3 CH.22.4 as , uniformly with respect to and , where is any fixed number in . These results are special cases of the uniform approximations in the next subsection. CH.22(ii) Uniform asymptotic approximations in terms of parabolic cylinder functions Notes When and CH.22.5 CH.22.6 as , where CH.22.7 Let and . In the case variable is defined implicitly by CH.22.8 in the case CH.22.9 the upper or lower sign being taken according as , and in the case it is defined by CH.22.10 CH.22.11 CH.22.12 CH.22(iii) Large Notes When and are fixed then CH.22.13

26. Approximations And Expansions approximations and expansions. 41Axx approximations and expansions. http://www.iwr.uni-heidelberg.de/groups/compalg/gruber/WWW/41-XXmon.html

Approximations and expansions 41Axx Approximations and expansions

27. The Mathematical Institute Eprints Archive - Subject: Approximations And Expansi Subject approximations and expansions. Mathematics Subject Classification (56)A C (28) approximations and expansions (12). Number of records 12. 2003. Thesis. http://eprints.maths.ox.ac.uk/view/subjects/M41.html

University of Oxford Mathematical Institute Mathematical Institute EPrint Server Home About Browse ... Help The Mathematical Institute Eprints Archive Subject: Approximations and expansions Mathematics Subject Classification A - C Approximations and expansions Number of records: Thesis Dew, N. Asymptotic structure of banach spaces. PhD/DPhil thesis, University of Oxford Thesis Coats, J. High frequency asymptotics of antenna/structure interactions. PhD/DPhil thesis, University of Oxford Schoof, C. Mathematical models of glacier sliding and drumlin formation. PhD/DPhil thesis, University of Oxford Thesis Lee, M. E.-M. Mathematical models of the carding process. PhD/DPhil thesis, University of Oxford Article Chapman, S.J. A hierarchy of models for type-II superconductors. SIAM Review Thesis Roose, T. Mathematical model of plant nutrient uptake. PhD/DPhil thesis, University of Oxford Thesis Gillow, K.A. Codimension-two free boundary problems. PhD/DPhil thesis, University of Oxford Ng, F.S.L. Mathematical modelling of subglacial drainage and erosion. PhD/DPhil thesis

28. The Mathematical Institute Eprints Archive - Research Group And Subject: Functio The Mathematical Institute Eprints Archive. Research Group and SubjectFunctional Analysis Group / approximations and expansions. http://eprints.maths.ox.ac.uk/view/groups-and-subjects/fag/M41.html

University of Oxford Mathematical Institute Mathematical Institute EPrint Server Home About Browse ... Help The Mathematical Institute Eprints Archive Research Group and Subject: Functional Analysis Group Approximations and expansions Mathematics Subject Classification A - C Approximations and expansions Number of records: Thesis Dew, N. Asymptotic structure of banach spaces. PhD/DPhil thesis, University of Oxford This list was generated on Sun Jun 6 04:20:20 BST 2004 Site Administrator: Keith A. Gillow Email corrections and comments to

29. 41-XX 41XX approximations and expansions. 41A60 Asymptotic approximations,asymptotic expansions (steepest descent, etc.) See also 30E15; http://www.ams.org/mathweb/msc1991/41-XX.html

41-XX Approximations and expansions and ; for all trigonometric approximation and interpolation, see and ; for numerical approximation, see 41-00 General reference works (handbooks, dictionaries, bibliographies, etc.) 41-01 Instructional exposition (textbooks, tutorial papers, etc.) 41-02 Research exposition (monographs, survey articles) 41-03 Historical (must be assigned at least one classification number from Section 01) 41-04 Explicit machine computation and programs (not the theory of computation or programming) 41-06 Proceedings, conferences, collections, etc. 41A05 Interpolation [See also and 41A15 Spline approximation 41A20 Approximation by rational functions 41A25 Rate of convergence, degree of approximation 41A27 Inverse theorems 41A28 Simultaneous approximation 41A29 Approximation with constraints 41A30 Approximation by other special function classes 41A35 Approximation by operators (in particular, by integral operators) 41A36 Approximation by positive operators 41A40 Saturation 41A44 Best constants 41A45 Approximation by arbitrary linear expressions 41A46 Approximation by arbitrary nonlinear expressions; widths and entropy

30. Numerical Solution Of Stochastic Differential Equations By Kloeden And Platen - Strong Convergence of Truncated StratonovichTaylor expansions; Weak Convergenceof Truncated Ito-Taylor expansions; Part IV. Time Discrete approximations. http://www.apronus.com/math/kloeden1992.htm

Apronus Home Mathematics Math Books Stochastic Processes ... Books Numerical Solution of Stochastic Differential Equations by Peter E. Kloeden and Eckhard Platen Part I. Preliminaries Chapter 1. Probability and Statistics Probabilities and Events Random Variables and Distributions Random Number Generators Moments Convergence of Random Sequences Basic Ideas About Stochastic Processes Diffusion Processes Wiener Processes and White Noise Statistical Tests and Estimation Chapter 2. Probability and Stochastic Processes Aspects of Measure and Probability Theory Integration and Expectation Stochastic Processes Diffusion and Wiener Processes Part II. Stochastic Differential Equations Chapter 3. Ito Stochastic Calculus Introduction The Ito Stochastic Integral The Ito Formula Vector Valued Ito Integrals Other Stochastic Integrals Chapter 4. Stochastic Differential Equations Introduction Linear Stochastic Differential Equations Reducible Stochastic Differential Equations Some Explicitly Solvable Equations The Existence and Uniqueness of Strong Solutions Strong Solutions as Diffusion Processes Diffusion Processes as Weak Solutions Vector Stochastic Differential Equations Stratonovich Stochastic Differential Equations Chapter 5. Stochastic Taylor Expansions

31. Project: Discrete Approximations Of Eigenfunction Expansions For Selfadjoint Ord entire NIWI site (en), Help. Project Discrete approximations of eigenfunction expansionsfor selfadjoint ordinary differential operators. switch to nl. mutation. http://www.niwi.knaw.nl/en/oi/nod/onderzoek/OND1237174/toon

Login NIWI (en) Research Information NOD - Dutch Research Database ... Powered by from "Project: Discrete approx..." entire NIWI site (en) Project: Discrete approximations of eigenfunction expansions for selfadjoint ordinary differential operators Titel Discrete approximaties van eigenfunctie-ontwikkelingen voor zelf-geadjungeerde gewone differentiaaloperatoren Abstract A study of discrete approximations of generalized Fourier transforms for selfadjoint ordinary differential operators. Approximations of singular differential operators by a family of operators with compact inverses. Stability of representations for the GFF. Special attention is paid to numerical aspects Period unknown - unknown Status completed Related organisations Secretariat: Section Analysis (VU) Related persons Project leader: Prof.dr. G.Y. Nieuwland Classification : fundamental research : functions, differential equations : fourier analysis, functional analysis Back NOD page Last modified: 17-09-2002 00:00

32. ETH E-collection Translate this page Stochastic Taylor expansions and saddlepoint approximations for risk management.by Michael Studer. Diss., Mathematische Wissenschaften ETH Zürich, Nr. http://e-collection.ethbib.ethz.ch/show?type=diss&nr=14242

33. Calculus And Mathematica Courses and . Converting known expansions to others via change of variable.expansions for approximations. Science and math experience. http://cm.math.uiuc.edu/class/130syl.htm

Expansions and techiques of integration Authors: Bill Davis, Horacio Porta and Jerry Uhl Producer: Bruce Carpenter Publisher: Distr ibutor: 3.Approximation 3.01 Splines Mathematics. Remarkable plots explained by order of contact. Splining for smoothness at the knots. Science and math experience. 3.02 Expansions in Powers of x Mathematics. The expansion of a function in powers of as a file of polynomials with higher and higher orders of contact with at . The expansions every literate calculus person knows: , and Converting known expansions to others via change of variable. Expansions for approximations. Science and math experience. . Expansions by substitution. Expansions by differentiation. ;Expansions by integration. Recognition of expansions. Expansions that satisfy a priori error bounds. 3.03 Using Expansions Mathematics. The expansion of a function in powers of as a file of polynomials with higher and higher orders of contact with at Science and math experience.

34. Calculus And Mathematica Courses and . Converting known expansio ns to others via change of variable.expansions for approximations. Science and math experience. http://cm.math.uiuc.edu/class/242syl.htm

2D and 3D Measurements and Expansions Authors: Bill Davis, Horacio Porta and Jerry Uhl Producer: Bruce Carpenter Publisher: Distributor: VC.01 Vectors Point the Way Mathematics. Vectors. Adding and subtracting vectors. Tangent vectors, velocity vectors, and tangent lines.Length of a vector, dot product, and distance between two points. Perpendicular vectors. The push of one vector in the direction of another, and the formula where is the angle between and Science and math experience. Velocity and acceleration. Bouncing light rays off curves. Pursuit models. Laser gunnery. Planetary motion. Parabolic reflectors, spherical reflec tors, and elliptical reflectors. Stealth technology. VC.02 Perpendicularity Mathematics. The cross product of two 3D vector s. Lines and planes in 3D. Normal vectors for curved surfaces in 3D. Main unit normals, binormals. Science and math experience. Plotting tubes and corrugations. Using the normal vector to bounce light beams off surfaces. Kissing circles and curvature. Measurements with the cross product. Breakin g acceleration vectors into normal and tangential components. Programming routers to cut specified pieces out of sheet steel. Plotting on planes. Serious 3D plots: Tube s and ribbons. VC.03 The Gradient

35. Distance Calculus At Suffolk University • Courses Offered 0. The expansions every literate calculus person knows (1/(1 x), ex,sinx and cosx). expansions for approximations. The expansion http://www.distancecalculus.com/new/courses/calcIII.php

contact us enroll now Information: about the course the classroom courses offered where ... student page visit our sister program at The Ohio State University visit our Computer Algebra in Mathematics Education courses At Suffolk University Calculus III (Series) Detailed Syllabus Mathematics Remarkable plots explained by order of contact. Splining for smoothness at the knots. The expansion of a function f[x] in powers of x as a file of polynomials with higher and higher orders of contact with f[x] at x = 0. The expansions every literate calculus person knows (1/(1 - x), ex, sin[x] and cos[x]). Expansions for approximations. The expansion of a function f[x] in powers of (x - b) as a file of polynomials with higher and higher orders of contact with f[x] at x = b. Newton's method. Multiplying and dividing expansions. Using expansions to help to calculate limits at a point. Expansions and the complex exponential function. Using expansions to help to get precise estimates of some integrals. Science and Math Experience Experiments geared at discovering that the smoother the transition from one curve to another at a knot, the better both curves approximate each other near the knot.

36. Title The summary for this Chinese (Simplified) page contains characters that cannot be correctly displayed in this language/character set. http://phymath.csdl.ac.cn/SPT--AdvancedSearch.php?vn=ensubject&vv=Approximations

37. Title The summary for this Chinese (Simplified) page contains characters that cannot be correctly displayed in this language/character set. http://phymath.csdl.ac.cn/SPT--AdvancedSearch.php?vn=ensubject&vv= approximation

38. MathDiss Database: Approximations And Expansions Translate this page MathDiss Database approximations and expansions (5 records). 1. Beste einseitigeL^1-Approximation mit Quasi-Blending-Funktionen. Author, John Klinkhammer. http://www.sub.uni-goettingen.de/cgi-bin/ssgfi/anzeige.pl?db=diss&sc=41

39. Numerical Approximations Using Chebyshev Polynomial Expansions J. Phys. A Math. Gen. 35 (25 January 2002) 731746. Numerical approximationsusing Chebyshev polynomial expansions El-gendi s method revisited. http://www.iop.org/EJ/abstract/0305-4470/35/3/317

@import url(http://ej.iop.org/style/nu/EJ.css); Electronic Journals quick guide Journals sitemap: IOP home page IOP online services EJs HOME JOURNAL HOME   - Editorial information   - Scope   - Editorial board   - Submit an article   - Pricing and ordering   - Request sample copy EJS EXTRA   - IOP Select   - IOP Physics Reviews   - BEC Matters! SEARCH   - Content finder   - Default searches AUTHORS   - Submit an article   - Status enquiry   - Get LaTeX class file   - Classification schemes   - Scope   - Editorial board REFEREES   - Submit referee report   - Become a referee   - Update personal details   - Classification schemes   - Scope   - Editorial board LIBRARIANS   - Register your institution   - Pricing and ordering   - Library branding   - How to link to IOP journals   - Librarian help USER OPTIONS   - Create account   - Lost password Login Create account Alerts Contact us ... Table of contents J. Phys. A: Math. Gen. (25 January 2002) 731-746 Numerical approximations using Chebyshev polynomial expansions: El-gendi's method revisited Bogdan Mihaila and Ioana Mihaila Physics Division, Argonne National Laboratory, Argonne, IL 60439, USA

40. EconPapers: Stochastic Expansions And Asymptotic Approximations Check the EconPapers FAQ or send mail to . Stochastic expansions and AsymptoticApproximations. Econometric Theory, 1992, vol. 8, issue 3, pages 34367. http://econpapers.hhs.se/article/cupetheor/v_3A8_3Ay_3A1992_3Ai_3A3_3Ap_3A343-67

EconPapers Home About EconPapers Working Papers Journal Articles ... Cookies at EconPapers This site is part of RePEc and all the data displayed here is part of the RePEc data set. Is your work missing from RePEc? Here is how to contribute Questions or problems? Check the EconPapers FAQ or send mail to Stochastic Expansions and Asymptotic Approximations Econometric Theory , 1992, vol. 8, issue 3, pages 343-67 Michael A Magdalinos There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it. Related works: This item may be available elsewhere in EconPapers: Search for items with the same title. Access Statistics for this article More articles in Econometric Theory from Cambridge University Press Address: The Edinburgh Building, Shaftesbury Road, Cambridge CB2 2RU UK Series data maintained by Christopher F. Baum ( Page updated 2004-04-01 Handle: RePEc:cup:etheor:v:8:y:1992:i:3:p:343-67

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