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1981, ISBN: 9027711070
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ISBN: 9789027711076
Approach your problems from It isn't that they can't see the the right end and begin with the solution. It is that they can't see the problem. answers. Then, one day, perhaps you will fin… Meer...
A. Miranker:
Numerical Methods for Stiff Equations and Singular Perturbation Problems (Mathematics and Its Applications) - gebonden uitgave, pocketboekISBN: 9027711070
[SR: 99348], Gebundene Ausgabe, [EAN: 9789027711076], Springer, Springer, Book, [PU: Springer], Springer, 63381011, Programmieren, 63383011, APIs & Betriebsumgebungen, 63373011, Algorithm… Meer...
Numerical Methods for Stiff Equations and Singular Perturbation Problems (Mathematics and Its Applications) - gebonden uitgave, pocketboek
ISBN: 9027711070
Hardcover, [EAN: 9789027711076], Springer, Springer, Book, [PU: Springer], 1980-11-30, Springer, 269279, Information Systems, 269349, Systems Analysis & Design, 269265, Computer Science, … Meer...
Numerical Methods for Stiff Equations and Singular Perturbation Problems (Mathematics and Its Applications) - eerste uitgave
1981, ISBN: 9027711070
gebonden uitgave
[EAN: 9789027711076], [PU: Reidel, Dordrecht], MATHEMATICS, No markings.
Numerical Methods for Stiff Equations: and Singular Perturbation Problems (Mathematics and Its Applications (closed)) - gebonden uitgave, pocketboek
1980, ISBN: 9027711070
[EAN: 9789027711076], Neubuch, [PU: Springer], Books
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Gedetalleerde informatie over het boek. - Numerical Methods for Stiff Equations and Singular Perturbation Problems (Mathematics and Its Applications)
EAN (ISBN-13): 9789027711076
ISBN (ISBN-10): 9027711070
Gebonden uitgave
Verschijningsjaar: 1980
Uitgever: Springer
224 Bladzijden
Gewicht: 0,469 kg
Taal: eng/Englisch
Boek bevindt zich in het datenbestand sinds 2008-02-10T08:47:18+01:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2020-02-19T15:31:44+01:00 (Amsterdam)
ISBN/EAN: 9027711070
ISBN - alternatieve schrijfwijzen:
90-277-1107-0, 978-90-277-1107-6
alternatieve schrijfwijzen en verwante zoekwoorden:
Auteur van het boek: willard, miranker
Titel van het boek: numerical mathematics, numerical methods for stiff equations and singular perturbation problems
Gegevens van de uitgever
Auteur: A. Miranker
Titel: Mathematics and Its Applications; Numerical Methods for Stiff Equations and Singular Perturbation Problems - and Singular Perturbation Problems
Uitgeverij: Springer; Springer Netherland
204 Bladzijden
Verschijningsjaar: 1980-11-30
Dordrecht; NL
Gewicht: 1,110 kg
Taal: Engels
101,64 € (DE)
104,49 € (AT)
104,50 CHF (CH)
Not available, publisher indicates OP
BB; Book; Hardcover, Softcover / Informatik, EDV/Informatik; Theoretische Informatik; C; Numeric Computing; Mathematics and Statistics; EA
1. Introduction.- Summary.- 1.1. Stiffness and Singular Perturbations.- 1.1.1. Motivation.- 1.1.2. Stiffness.- 1.1.3. Singular Perturbations.- 1.1.4. Applications.- 1.2. Review of the Classical Linear Multistep Theory.- 1.2.1. Motivation.- 1.2.2. The Initial Value Problem.- 1.2.3. Linear Multistep Operators.- 1.2.4. Approximate Solutions.- 1.2.5. Examples of Linear Multistep Methods.- 1.2.6. Stability, Consistency and Convergence.- 2. Methods of Absolute Stability.- Summary.- 2.1. Stiff Systems and A-stability.- 2.1.1. Motivation.- 2.1.2. A-stability.- 2.1.3. Examples of A-stable Methods.- 2.1.4. Properties of A-stable Methods.- 2.1.5. A Sufficient Condition for A-stability.- 2.1.6. Applications.- 2.2. Notions of Diminished Absolute Stability.- 2.2.1. A (?)-stability.- 2.2.2. Properties of A(?)-stable Methods.- 2.2.3. Stiff Stability.- 2.3. Solution of the Associated Equations.- 2.3.1. The Problem.- 2.3.2. Conjugate Gradients and Dichotomy.- 2.3.3. Computational Experiments.- 3. Nonlinear Methods.- Summary.- 3.1. Interpolatory Methods.- 3.1.1. Certaine’s Method.- 3.1.2. Jain’s Method.- 3.2. Runge-Kutta Methods and Rosenbrock Methods.- 3.2.1. Runge-Kutta Methods with v-levels.- 3.2.2. Determination of the Coefficients.- 3.2.3. An Example.- 3.2.4. Semi-explicit Processes and the Method of Rosenbrock.- 3.2.5. A-stability.- 4 Exponential Fitting.- Summary.- 4.1. Exponential Fitting for Linear Multistep Methods.- 4.1.1. Motivation and Examples.- 4.1.2. Minimax fitting.- 4.1.3. An Error Analysis for an Exponentially Fitted F1.- 4.2. Fitting in the Matricial Case.- 4.2.1. The Matricial Multistep Method.- 4.2.2. The Error Equation.- 4.2.3. Solution of the Error Equation.- 4.2.4. Estimate of the Global Error.- 4.2.5. Specification of P.- 4.2.6. Specification of L and R.- 4.2.7. An Example.- 4.3. Exponential Fitting in the Oscillatory Case.- 4.3.1. Failure of the Previous Methods.- 4.3.2. Aliasing.- 4.3.3. An Example of Aliasing.- 4.3.4. Application to Highly Oscillatory Systems.- 4.4. Fitting in the Case of Partial Differential Equations.- 4.4.1. The Problem Treated.- 4.4.2. The Minimization Problem.- 4.4.3. Highly Oscillatory Data.- 4.4.4. Systems.- 4.4.5. Discontinuous Data.- 4.4.6. Computational Experiments.- 5. Methods of Boundary Layer Type.- Summary.- 5.1. The Boundary Layer Numerical Method.- 5.1.1. The Boundary Layer Formalism.- 5.1.2. The Numerical Method.- 5.1.3. An Example.- 5.2. The ?-independent Method.- 5.2.1. Derivation of the Method.- 5.2.2. Computational Experiments.- 5.3. The Extrapolation Method.- 5.3.1. Derivation of the Relaxed Equations.- 5.3.2. Computational Experiments.- 6. The Highly Oscillatory Problem.- Summary.- 6.1. A Two-time Method for the Oscillatory Problem.- 6.1.1. The Model Problem.- 6.1.2. Numerical Solution Concept.- 6.1.3. The Two-time Expansion.- 6.1.4. Formal Expansion Procedure.- 6.1.5. Existence of the Averages and Estimates of the Remainder.- 6.1.6. The Numerical Algorithm.- 6.1.7. Computational Experiments.- 6.2. Algebraic Methods for the Averaging Process.- 6.2.1. Algebraic Characterization of Averaging.- 6.2.2. An Example.- 6.2.3. Preconditioning.- 6.3. Accelerated Computation of Averages and an Extrapolation Method.- 6.3.1. The Multi-time Expansion in the Nonlinear Case.- 6.3.2. Accelerated Computation of $$\\bar f$$.- 6.3.3. The Extrapolation Method.- 6.3.4. Computational Experiments: A Linear System.- 6.3.5. Discussion.- 6.4. A Method of Averaging.- 6.4.1. Motivation: Stable Functionals.- 6.4.2. The Problem Treated.- 6.4.3. Choice of Functionals.- 6.4.4. Representers.- 6.4.5. Local Error and Generalized Moment Conditions.- 6.4.6. Stability and Global Error Analysis.- 6.4.7. Examples.- 6.4.8. Computational Experiments.- 4.6.9. The Nonlinear Case and the Case of Systems.- 7. Other Singularly Perturbed Problems.- Summary.- 7.1. Singularly Perturbed Recurrences.- 7.1.1. Introduction and Motivation.- 7.1.2. The Two-time Formalism for Recurrences.- 7.1.3. The Averaging Procedure.- 7.1.4. The Linear Case.- 7.1.5. Additional Applications.- 7.2. Singularly Perturbed Boundary Value Problems.- 7.2.1. Introduction.- 7.2.2. Numerically Exploitable Form of the Connection Theory.- 7.2.3. Description of the Algorithm.- 7.2.4. Computational Experiments.- References.Andere boeken die eventueel grote overeenkomsten met dit boek kunnen hebben:
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9781402002984 Numerical Methods for Stiff Equations and Singular Perturbation Problems: and Singular Perturbation Problems A. Miranker Author (A. Miranker)
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