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141227s1986 flu ob 001 0 eng d |
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|a EBLCP
|b eng
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|d IDEBK
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|d HEBIS
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|a 622121769
|a 681443226
|a 1162091400
|a 1397719953
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|a 9781483259093
|q (electronic bk.)
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|a 1483259099
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|a (OCoLC)898772004
|z (OCoLC)622121769
|z (OCoLC)681443226
|z (OCoLC)1162091400
|z (OCoLC)1397719953
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|a dlr
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|a QA402
|b .A29 1986
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|a SCI
|x 064000
|2 bisacsh
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|a TEC
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|a Adomian, G.
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|a Nonlinear Stochastic operator equations /
|c G. Adomian.
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|a Orlando :
|b Academic Press,
|c 1986.
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|a 1 online resource (xv, 287 pages)
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a Includes index.
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|3 Use copy
|f Restrictions unspecified
|2 star
|5 MiAaHDL
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|a Electronic reproduction.
|b [Place of publication not identified] :
|c HathiTrust Digital Library,
|d 2010.
|5 MiAaHDL
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|a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
|u http://purl.oclc.org/DLF/benchrepro0212
|5 MiAaHDL
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|a digitized
|c 2010
|h HathiTrust Digital Library
|l committed to preserve
|2 pda
|5 MiAaHDL
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|a Print version record.
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|a Front Cover; Nonlinear Stochastic Operator Equations; Copyright Page; Table of Contents; Foreword; Preface; Acknowledgments; Chapter 1. Introduction; References; Chapter 2. Operator Equations and the Decomposition Method; 2.1. Modeling, Approximation, and Reality; 2.2. The Operator Equations; 2.3. The Decomposition Method; 2.4. Evaluation of the Inverse Operator L-1 and the y0 Term of the Decomposition for Initial or BoundaryConditions; References; Suggested Further Reading; Chapter 3. Expansion of Nonlinear Terms: The AnPolynomials; 3.1. Introduction.
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|a 3.2. Calculation of the An Polynomials for Simple Nonlinear Operators3.3. The An Polynomials for Differential Nonlinear Operators; 3.4. Convenient Computational Forms for the An Polynomials; 3.5. Linear Limit; 3.6. Calculation of the An Polynomials for Composite Nonlinearities; References; Suggested Further Reading; Chapter 4. Solution of Differential Equations; 4.1. General Method and Examples; 4.2. Calculating a Simple Green's Function; 4.3. Green's Function by Decomposition; 4.4. Approximating Difficult Green's Functions; 4.5. Polynomial Nonlinearities; 4.6. Negative Power Nonlinearities.
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|a 4.7. Decimal Power Nonlinearities4.8. Product Nonlinearities; 4.9. Anharmonic Oscillator Systems; 4.10. Limiting Case: The Harmonic Oscillator; 4.11. Extensions to Stochastic Oscillators; 4.12. Asymptotic Solutions; 4.13. The Question of Stability; References; Chapter 5. Coupled Nonlinear Stochastic Differential Equations; 5.1. Deterministic Coupled Differential Equations; 5.2. Stochastic Coupled Equations; 5.3. Generalization to n Coupled Stochastic Differential Equations; Suggested Further Reading; Chapter 6. Delay Equations; 6.1. Definitions; 6.2. Solution of Delay Operator Equations.
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|a ReferenceSuggested Further Reading; Chapter 7. Discretization versus Decomposition; 7.1. Discretization; 7.2. A Differential-Difference Equation; 7.3. Difference Equations and the Decomposition Method; 7.4. Some Remarks on Supercomputers; References; Suggested Further Reading; Chapter 8. Random Eigenvalue Equations; References; Suggested Further Reading; Chapter 9. Partial Differential Equations; 9.1. Solving m-DimensionalEquations; 9.2. Four-Dimensional Linear Partial Differential Equation; 9.3. Nonlinear Partial Differential Equation; 9.4. Some General Remarks; 9.5. The Heat Equation.
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|a 9.6. Inhomogeneous Heat Equation9.7. Asymptotic Decomposition for Partial Differential Equations; Note; Reference; Suggested Further Reading; Chapter 10. Algebraic Equations; Part I: Polynomials; 10.1. Quadratic Equations by Decomposition; 10.2. Cubic Equations; 10.3. Higher-Degree Polynomial Equations; 10.4. Equation with Negative Power Nonlinearities; 10.5. Equations with Noninteger Powers; 10.6. Equations with Decimal Powers; 10.7. Random Algebraic Equations; 10.8. General Remarks; Part II: Transcendental Equations; 10.9. Trigonometric Equations; 10.10. Exponential Cases; 10.11. Logarithmic Equation: Purely Nonlinear Equations; Nonlinear Stochastic Operator Equations.
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|a Nonlinear Stochastic Operator Equations.
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546 |
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|a English.
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650 |
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|a Stochastic systems.
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650 |
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|a Nonlinear theories.
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650 |
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|a Operator equations.
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650 |
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6 |
|a Syst�emes stochastiques.
|0 (CaQQLa)201-0101603
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650 |
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6 |
|a Th�eories non lin�eaires.
|0 (CaQQLa)201-0031988
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650 |
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6 |
|a �Equations �a op�erateurs.
|0 (CaQQLa)201-0041356
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650 |
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|a SCIENCE
|x System Theory.
|2 bisacsh
|
650 |
|
7 |
|a TECHNOLOGY & ENGINEERING
|x Operations Research.
|2 bisacsh
|
650 |
|
7 |
|a Nonlinear theories
|2 fast
|0 (OCoLC)fst01038812
|
650 |
|
7 |
|a Operator equations
|2 fast
|0 (OCoLC)fst01046410
|
650 |
|
7 |
|a Stochastic systems
|2 fast
|0 (OCoLC)fst01133532
|
776 |
0 |
8 |
|i Print version:
|a Adomian, G.
|t Nonlinear stochastic operator equations.
|d Orlando : Academic Press, 1986
|z 0120443759
|w (DLC) 85026655
|w (OCoLC)12724729
|
856 |
4 |
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|u https://sciencedirect.uam.elogim.com/science/book/9780120443758
|z Texto completo
|