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Difference equations

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• Difference equations -- Periodicals
• Asymptotic expansions
• Difference algebra
• Difference equations, Nonlinear
• Differential-difference equations
• Nonlinear difference equations

• Calculus of differences
• Differences, Calculus of
• Equations, Difference

• A Treatise on Differential Equations, and on the Calculus of Finite Differences, by J. Hymers (page images at Cornell)
• The elemets of the calcculus of finite differences, treated on the method of separation of symbols. (E. Johnson, etc., 1849), by James Pearson (page images at HathiTrust)
• Untersuchungen über Differenzenkoeffizienten erster und zweiter Art : insbesondere über ihren Zusammenhang mit verwandten Grössen / (Leipzig : August Hoffmann, 1911), by Erich Perl (page images at HathiTrust; US access only)
• Das Näherungsverfahren x[subscript n] = [phi](x[subscript n-1]) und seine Anwendung auf Theorie und Praxis algebraischer und transzendenter Gleichungen / (Borna-Leipzig : Robert Noske, 1914), by Hermann Vermeil (page images at HathiTrust; US access only)
• Theorie der differenzen und summen : ein lehrbuch. (Halle : H. W. Schmidt, 1848), by Oskar Xaver Schlömilch (page images at HathiTrust)
• Ueber eine Function welche einer linearen Differential- und Differenzengleichung vierter Ordnung Genüge leistet. (Halle a/s, 1875), by J. Thomae (page images at HathiTrust)
• Nonstationary gas flow in thin pipes of variable cross section / (Washington, D.C. : NACA, 1948), by G. Guderley, Dave Feingold, and United States. National Advisory Committee for Aeronautics (page images at HathiTrust)
• Die grundlehren der endlichen differenzen- und summenrechnung... (Braunschweig, E. Leibrock, 1867), by George Boole and C. H. Schnuse (page images at HathiTrust)
• A treatise on differential equations, and on the calculus of finite differences / (London : Longman, Brown, Green, Longmans, and Roberts, 1858), by J. Hymers (page images at HathiTrust)
• Lehrbuch der differenzenrechnung, (Leipzig, B. G. Teubner, 1904), by Dmitriĭ Selivanov (page images at HathiTrust; US access only)
• Theorie der linearen Differenzengleichungen, (Leipzig, Berlin, B. G. Teubner, 1911), by Georg Jakob Wallenberg and Alf Guldberg (page images at HathiTrust; US access only)
• Traité élémentaire de calcul différentiel et de calcul intégral. (Paris, Gauthier-Villars, 1867), by S. F. Lacroix (page images at HathiTrust)
• Elements of finite differences, also solutions to questions set for part I of the examinations of the Institute of Actuaries. (London, C. and E. Alwin, 1915), by Joseph Burn, E. H. Brown, and Institute of Actuaries (Great Britain) (page images at HathiTrust; US access only)
• A treatise on the calculus of finite differences, (London, MacMillan and co., 1880), by George Boole, ed. by John Fletcher Moulton Moulton (page images at HathiTrust)
• Simple methods of estimating certain nonlinear functions with emphasis on agricultural data / (Washington, D.C. : U.S. Dept. of Agriculture, Economic Research Service, 1963), by Richard Hollis Day (page images at HathiTrust)
• The estimation of wind-wave generation in a discrete spectral model / (Vicksburg, Miss. : The Station ; Springfield, Va. : available from NTIS, 1982), by Donald T. Resio, United States Army Corps of Engineers, Hydraulics Laboratory (U.S.), and Wave Information Studies of the U.S. Coastlines (page images at HathiTrust)
• Die grundlehren der endlichen differenzen- und summenrechnung... (Braunschweig, 1867), by George Boole, trans. by C. H. Schnuse (page images at HathiTrust)
• Analysis of fixed-stepsize methods / (Urbana, Illinois : Dept. of Computer Science, University of Illinois at Urbana-Champaign, 1975), by Robert D. Skeel and University of Illinois at Urbana-Champaign. Department of Computer Science (page images at HathiTrust)
• An analysis of some Eulerian methods for one dimensional, inviscid, compressible hydrodynamics, (Urbana, Dept. of Computer Science, University of Illinois at Urbana-Champaign, 1969), by Stanley J Flowerdew (page images at HathiTrust)
• The divergence of Stone's factorizations when no parameters are used / (Urbana, Ill. : Dept. of Computer Science, University of Illinois at Urbana-Champaign, 1971), by Martin Diamond and University of Illinois at Urbana-Champaign. Dept. of Computer Science (page images at HathiTrust)
• An economical algorithm for the solution of elliptic difference equations independent of user-supplied parameters, (Urbana, Dept. of Computer Science, University of Illinois at Urbana-Champaign, 1971), by Martin A. Diamond (page images at HathiTrust)
• A treatise on the calculus of finite differences. (New York, Stechert, [1946]), by George Boole, Edward B. Escott, and John Fletcher Moulton Moulton (page images at HathiTrust)
• Über eine besondere Klasse von differentialen Funktionalgleichungen / (Zürich : Aktien-Buchdruckerei, 1910), by Olga Polossuchin (page images at HathiTrust; US access only)
• A boundary-fitted coordinate code for general two-dimensional regions with obstacles and boundary intrusions / (Vicksburg, Miss. : U.S. Army Engineer Waterways Experiment Station ; Springfield, Va. : available from NTIS, 1983), by Joe F. Dept. of Aerospace Engineering Thompson, Hydraulics Laboratory (U.S.) mon, Environmental and Water Quality Operational Studies (U.S.), Mississippi State Mississippi State University, and D.C. fnd United States. Army. Office of the Chief of Engineers. Washington (page images at HathiTrust)
• Newton's interpolation formulas. (London, [1919]), by Duncan Cumming Fraser (page images at HathiTrust; US access only)
• A treatise on the calculus of finite differences (New York : Dover Publications, [1960]), by George Boole and John Fletcher Moulton (page images at HathiTrust; US access only)
• Ueber lineare Differenzengleichungen / (København : Andr. Fred. Høst, 1911), by Niels Erik Nørdlund (page images at HathiTrust; US access only)
• A treatise on differential equations, and on the calculus of finite differences / (London, Longman, Brown, [etc.], 1858), by J. Hymers (page images at HathiTrust)
• Die linearen differenzengleichungen und ihre anwendung in der theorie der baukonstruktionen, (Berlin, J. Springer, 1920), by Paul Funk (page images at HathiTrust; US access only)
• Instability considerations for various difference equations derived from the diffusion equation, ([Stanford, Stanford Research Institute, 1954]), by George W. Evans (page images at HathiTrust)
• A treatise on the calculus of finite differences : list of corrections, notes on text, hints on the solution of exercises for. (New York : G. E. Stechert & co., 1932), by George Boole, Edward B. Escott, and John Fletcher Moulton Moulton (page images at HathiTrust; US access only)
• Traité élémentaire de la théorie des fonctions et du calcul infinitésimal / (Paris : L. Hachette, 1857), by A. A. Cournot (page images at HathiTrust)
• Numerical study of transonic flow over oscillating airfoils using the full potential equation / (Washington : National Aeronautics and Space Administration, Scientific and Technical Information Office ; Springfield, Va. : For sale by the National Technical Information Service, 1978), by Koji Isogai and United States. National Aeronautics and Space Administration. Scientific and Technical Information Office (page images at HathiTrust)
• Finite-difference theory for sound propagation in a lined duct with uniform flow using the wave envelope concept / ([Washington] : National Aeronautics and Space Administration, Scientific and Technical Information Office ; Springfield, Va. : For sale by the National Technical Information Service, 1977), by Kenneth J. Baumeister and United States. National Aeronautics and Space Administration. Scientific and Technical Information Office (page images at HathiTrust)
• The relation of finite element and finite difference methods / (Washington : U.S. National Aeronautics and Space Administration ; Springfield, Va. : For sale by the National Technical Information Service, 1976), by Marcel Vinokur, University of Santa Clara, and Ames Research Center (page images at HathiTrust)
• On one-dimensional stretching functions for finite-difference calculations / (Washington, D.C. : National Aeronautics and Space Administration, Scientific and Technical Information Branch ; [Springfield, Va. : For sale by the National Technical Information Service], 1980), by Marcel Vinokur, Ames Research Center, and United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch (page images at HathiTrust)
• Effect of coefficient changes on stability of linear retarded systems with constant time delays / (Washington : National Aeronautics and Space Administration ; Springfield, Va. : For sale by the National Technical Information Service, 1977), by L. Keith Barker and United States National Aeronautics and Space Administration (page images at HathiTrust)
• Traité élémentaire de calcul différentiel et de calcul intégral / (Paris : Mallet-Bachelier, 1861-1862), by S. F. Lacroix (page images at HathiTrust)
• An introduction to linear difference equations, (Cambridge, Mass., The Harvard university press, 1927), by Paul M. Batchelder (page images at HathiTrust)
• A survey of difference methods for non-steady fluid dynamics / (Boulder, Colo. : National Center for Atmospheric Research, [1963?]), by Robert D. Richtmyer (page images at HathiTrust; US access only)
• Numerical properties of implicit four-point finite difference equations of unsteady flow. (Washington : Office of Hydrology, National Weather Service, 1974), by D. L. Fread and United States. Office of Hydrology (page images at HathiTrust; US access only)
• Mémoire sur la théorie des caractéristiques employées dans lànalyse mathématique / (Amsterdam : C. G. Sulpke, 1837), by Rehuel Lobatto (page images at HathiTrust)
• Traité des différences et des séries; faisant suite au Traité du calcul différentiel et du calcul intégral. (Paris, An VIII, [1800]), by S. F. Lacroix (page images at HathiTrust)
• The polynomial solutions of the difference equation af(x+1) + bf(x) = [Phi](x) / ([1925]), by Elbert Frank Cox (page images at HathiTrust; US access only)
• A collection of examples of the applications of the calculus of finite differences. (Cambridge [Eng.] Printed by J. Smith and sold by J. Deighton & sons; London, G. & W.B. Whittaker [etc.], 1820), by John F. W. Herschel and S. F. Lacroix (page images at HathiTrust)
• Elements of the calculus of finite differences, with the application of its principles to the summation and interpolation of series. (Cambridge, J. Hall, 1831), by Henry Kuhff (page images at HathiTrust)
• Notes on finite differences, for the use of students of the institute of actuaries. (London : Charles and Edwin Layton, [1885]), by A.W. Sunderland (page images at HathiTrust)
• Über funktionen, welche gewissen differenzengleichungen n. ordnung genüge leisten ... (Kiel, Lipsius & Tischer, 1885), by Ernst Heinrich Friedrich Weinnoldt (page images at HathiTrust)
• Exposé des méthodes générales en mathématiques, résolution et intégration des équations, applications diverses, (Paris, Gauthier-Villars, 1886), by Emile West (page images at HathiTrust)
• Notes on finite differences. : For the use of students of the Institute of Actuaries / (London : C. and E. Layton, [pref. 1885]), by Arthur Wellesley Sunderland and Institute of Actuaries (Great Britain) (page images at HathiTrust)
• Die grundlehren der endlichen differenzen- und summenrechnung / (Braunschweig : E. Leibrock, 1867), by George Boole and C. H. Schnuse (page images at HathiTrust)
• Vorlesungen über differenzenrechnung, (Berlin, J. Springer, 1924), by N. E. Nørlund (page images at HathiTrust; US access only)
• Nuove ricerche analitiche, geometriche, e meccaniche, contenenti i metodi generali della divisione, iscrizione, e circoscrizione delle figure (Pavia, Tipografia Bolzani, 1811), by Luigi Forni (page images at HathiTrust)
• Mémoire sur les méthodes d'intégrations des équations différentielles et aux différemces/ (Moskou, Imprimerie W. Gautier, 1868), by Sergi͡eĭ Semenovīch Urusov (page images at HathiTrust)
• Traité élémentaire de calcul différentiel et de calcul intégral / (Paris : Gauthier-Villars, 1867), by S. F. Lacroix (page images at HathiTrust)
• The method of increments. Wherein the principles are demonstrated; and the practice thereof shewn in the solution of problems ... (London, Printed for J. Nourse, 1763), by William Emerson (page images at HathiTrust)
• Theorie der linearen Diffenerzengleichungen, unter Mitwirkung von Alf Guldberg, (Leipzig, B. G. Teubner, 1911), by Georg Jakob Wallenberg and Alf Victor Emanuel Guldberg (page images at HathiTrust; US access only)
• The solutions of non-homogeneous linear difference equations and their asymptotic form ... ([Lancaster, Pa., New York], 1913), by Kenneth P. Williams (page images at HathiTrust)
• Integraldifferenzen- und Differential-differenzengleichungen, (Leipzig, B. G. Teubner, 1919), by Fritz Schürer (page images at HathiTrust; US access only)
• Traité du calcul différentiel et du calcul intégral, (Paris, Chez J.B.M. Duprate, 1797-1800), by S. F. Lacroix (page images at HathiTrust)
• A treatise on the calculus of finite differences, (London, MacMillan and co., 1872), by George Boole and J. Fletcher Moulton (page images at HathiTrust)
• Lehrbuch der Differenzrechnung, (Leipzig, B. G.Teubner, 1904), by Dmitrīĭ Selivanov (page images at HathiTrust; US access only)
• Lake Pontchartrain and Vicinity Hurricane Protection Plan : Report 3 : Numerical model investigation of plan impact on the tidal prism of Lake Pontchartrain / (Vicksburg, Miss. : U.S. Army Engineer Waterways Experiment Staton ; [Springfield, Va. : Available from National Technical Information Service, 1983]), by H. Lee Butler, U.S. Army Engineer Waterways Experiment Station, and United States. Army. Corps of Engineers. New Orleans District (page images at HathiTrust)
• Vorlesungen über mathematische Näherungsmethoden / (Braunschweig : F. Vieweg, 1905), by Otto Biermann (page images at HathiTrust; US access only)
• Different͡sīalʹnyi͡a i raznostnyi͡a uravnenīi͡a. (Moskva, Tipografīi͡a Semena, 1863), by Sergi͡eĭ Semenovīch Urusov (page images at HathiTrust)
• On some iterative methods for solving elliptic difference equations /, by Herbert Bishop Keller, New York University. Institute of Mathematical Sciences, and U.S. Atomic Energy Commission. New York Operations Office (page images at HathiTrust)
• Differential equations, difference equations and matrix theory /, by Peter D. Lax, New York University. Institute of Mathematical Sciences, and U.S. Atomic Energy Commission. New York Operations Office (page images at HathiTrust)
• An introduction to the calculus of finite differences. (New York, Van Nostrand, [1954]), by C. H. Richardson (page images at HathiTrust)
• Difference methods for initial-value problems. (New York, Interscience Publishers, [1957]), by Robert D. Richtmyer (page images at HathiTrust)
• The operator approach to problems of stability and convergence of solutions of difference equations and the convergence of various iteration procedures. (New York, Scripta Mathematica, Yeshiva University, 1957), by Arnold N. Lowan (page images at HathiTrust)
• Finite-difference experiments with a simple conservation law /, by Louis Berkofsky, Ralph Shapiro, Air Force Cambridge Research Laboratories (U.S.), and United States. Air Force. Office of Aerospace Research (page images at HathiTrust)
• Noniterative solution of a boundary value problem of the Helmholtz type /, by Samuel Y. K. Yee and Air Force Cambridge Research Laboratories (U.S.) (page images at HathiTrust)
• Notes on the calculus of finite differences, (Ann Arbor, Mich., Edwards brothers, [1926]), by Joseph Derby Grant (page images at HathiTrust)
• Differenzenrechnung / (Leipzig : B.G. Teubner, 1896), by A. A. Markov, trans. by Erich Prümm and Theophil Friesendorff (page images at HathiTrust)
• A treatise on the calculus of finite differences, (New York, G. E. Stechert & co., 1926), by George Boole, ed. by John Fletcher Moulton Moulton (page images at HathiTrust)
• Mathematische Schwingungslehre; Theorie der gewöhnlichen Differentialgleichungen mit konstanten Koeffizienten sowie einiges über partielle Differentialgleichungen und Differenzengleichungen, (Berlin, J. Springer, 1924), by Erich Schneider (page images at HathiTrust; US access only)
• On the derivation of difference equations for hydrodynamics / (Los Alamos, N.M. : Los Alamos Scientific Laboratory of the University of California, 1957), by A. H. Taub, U.S. Atomic Energy Commission, and Los Alamos Scientific Laboratory (page images at HathiTrust)
• WAT : a numerical method for two-dimensional unsteady fluid flow / (Los Alamos, N.M. : Los Alamos Scientific Laboratory of the University of California, 1960), by Walter B. Goad, U.S. Atomic Energy Commission, and Los Alamos Scientific Laboratory (page images at HathiTrust)
• On the treatment of geometrically thin regions within the two-space dimension multigroup difference equation framework / (Oak Ridge, Tenn. : United States Atomic Energy Commission, Technical Information Service ;, 1955), by E. L. Wachspress, Knolls Atomic Power Laboratory, and U.S. Atomic Energy Commission (page images at HathiTrust)
• Some higher order integral identities with application to bounding techniques /, by J. H. Bramble, B. E. Hubbard, College Park. Institute for Fluid Dynamics and Applied Mathematics University of Maryland, and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• The bounding of instabilities of the PIC difference equations / (Los Alamos, N.M. : Los Alamos Scientific Laboratory of the University of California, 1963), by Bart J. Daly, Los Alamos Scientific Laboratory, and U.S. Atomic Energy Commission (page images at HathiTrust)
• A recurrence matrix solution for the dynamic response of aircraft in gusts / (Washington, D.C. : National Advisory Committee for Aeronautics, 1950), by John C. Houbolt and United States. National Advisory Committee for Aeronautics (page images at HathiTrust)
• Stability of difference equations : selected topics / (Los Alamos, N.M. : Los Alamos Scientific Laboratory of the University of California, 1960), by Francis H. Harlow, James E. Welch, Emma Lou Young, U.S. Atomic Energy Commission, and Los Alamos Scientific Laboratory (page images at HathiTrust)
• Oscillation criteria for fourth-order linear differential equations /, by Henry Howard and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• Bounds for eigenvalues of the sturm-liouville problem by finite difference methods /, by B. E. Hubbard, College Park. Institute for Fluid Dynamics and Applied Mathematics University of Maryland, and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• On difference methods for the solution of partial differential equations of mixed type /, by Hajimu Ogawa and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• On difference methods for the solution of partial differential equations of mixed type : part 2 /, by Hajimu Ogawa and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• Traité du calcul différentiel et du calcul intégral, (Paris, Chez Courcier, 1810-19), by S. F. Lacroix (page images at HathiTrust)
• Lake Pontchartrain and vicinity hurricane protection plan : Report 2 : Physical and numerical model investigation of control structures and the Seabrook Lock : hydraulic and mathematical model investigation / (Vicksburg, Miss. : The Station ; Springfield, Va. : Available from NTIS, 1982), by H. Lee Butler, T. F. Berninghausen, Larry L. Daggett, R. C. Berger, Hydraulics Laboratory (U.S.), and United States. Army. Corps of Engineers. New Orleans District (page images at HathiTrust)
• Real and complex differential systems /, by Binyamin Schwarz, Makhon ©øtekhnologi le-Yi©Øsra℗ʼel ©øTekhniyon, and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• A treatise on differential equations, and on the calculus of finite differences. (Cambridge [etc.] J. & J. J. Deighton, 1839), by J. Hymers (page images at HathiTrust)
• Theorie der differenzen und differentiale, der gedoppelten verbindungen, der producte mit versetzungen, der reihen, der wiederholenden functionen, der allgemeinsten facultäten und der fortlaufenden brüche, (Heidelberg, C. F. Winter, 1825), by Franz Ferdinand Schweins (page images at HathiTrust)
• Systems of linear difference equations and systems of linear differential equations which satisfy conditions at two points /, by Tomlinson Fort, United States. Air Force. Office of Scientific Research, and University of South Carolina (page images at HathiTrust)
• Linear difference and differential equations satisfying conditions at more than one point /, by Tomlinson Fort, United States. Air Force. Office of Scientific Research, and University of South Carolina (page images at HathiTrust)
• Fourth order finite difference analogues of the dirichlet problem for poisson's equation in three and four dimensions /, by J. H. Bramble, College Park. Institute for Fluid Dynamics and Applied Mathematics University of Maryland, and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• On the Geometric character of singularity manifolds for harmonic functions in three variables : I /, by Robert P. Gilbert, College Park. Institute for Fluid Dynamics and Applied Mathematics University of Maryland, and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• Unsteady aerodynamic pressures in transonic flow /, by L. V. Andrew, issuing agency Air Force Flight Dynamics Laboratory (U.S.), and sponsor North American Rockwell Corporation (page images at HathiTrust)
• Mémoire sur le calcul aux différences finies /, by N. E. Nørlund (page images at HathiTrust; US access only)
• Improved approximations to differential equations by difference equations, by W. Robert Mann, J. G. Cox, C. L. Bradshaw, University of North Carolina, and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• The development of a numerical solution to transport equation /, by R. A. Schmalz, U.S. Army Engineer Waterways Experiment Station, and United States. Army. Corps of Engineers. Mobile District (page images at HathiTrust)

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