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Record Nr. |
UNISA996466803503316 |
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Autore |
Britz Dieter |
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Titolo |
Digital Simulation in Electrochemistry [[electronic resource] /] / by Dieter Britz |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2005 |
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ISBN |
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Edizione |
[3rd ed. 2005.] |
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Descrizione fisica |
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1 online resource (XIII, 338 p. 252 illus.) |
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Collana |
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Lecture Notes in Physics, , 0075-8450 ; ; 666 |
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Disciplina |
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Soggetti |
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Physical chemistry |
Electronics |
Microelectronics |
Chemistry, Physical and theoretical |
Analytical chemistry |
Computational complexity |
Chemometrics |
Physical Chemistry |
Electronics and Microelectronics, Instrumentation |
Theoretical and Computational Chemistry |
Analytical Chemistry |
Complexity |
Math. Applications in Chemistry |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"The book is accompanied (on the webpage http://www.springerlink.com/openurl.asp?genre=journal&issn=1616-6361&volume=666) by a number of example procedures and programs, all in Fortran 90/95"--Pref. |
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Nota di bibliografia |
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Includes bibliographical references (p. [313]-329) and index. |
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Nota di contenuto |
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Basic Equations -- Approximations to Derivatives -- Ordinary Differential Equations -- The Explicit Method -- Boundary Conditions -- Unequal Intervals -- The Commonly Used Implicit Methods -- Other Methods -- Adsorption -- Effects Due to Uncompensated Resistance and Capacitance -- Two-Dimensional Systems -- Convection -- Performance -- Programming -- Simulation Packages -- Tables and |
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Formulae -- Some Mathematical Proofs -- Procedure and Program Examples -- References -- Electronic Supplementary Material. |
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Sommario/riassunto |
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The book shows how to numerically solve the parabolic partial differential equations (pdes) encountered in electroanalytical chemistry. It does this in a didactic manner, by first introducing the basic equations to be solved and some model systems as text cases, for which solutions exist. Then it treats basic numerical approximation for derivatives and techniques for the numerical solution of ordinary differential equations, from which the more complicated methods for pdes can be derived. The major implicit methods are described in detail, and the handling of homogeneous chemical reactions, including coupled and nonlinear cases, is detailed. More advanced techniques are presented briefly, as well as some commercially available program packages. This third edition, still the only text on the subject, is structured more didactically then the previous editions. It brings the coverage of electrochemical digital simulation up to date, including many new techniques developed since the early 1990s. A number of example procedures and programs are made available as supplementary material in the online version of this book. |
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2. |
Record Nr. |
UNINA9910338255303321 |
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Titolo |
Applications of Differential-Algebraic Equations: Examples and Benchmarks / / edited by Stephen Campbell, Achim Ilchmann, Volker Mehrmann, Timo Reis |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 |
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ISBN |
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Edizione |
[1st ed. 2019.] |
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Descrizione fisica |
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1 online resource (324 pages) |
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Collana |
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Differential-Algebraic Equations Forum, , 2199-840X |
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Disciplina |
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Soggetti |
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Differential equations |
Numerical analysis |
Mathematical models |
Differential Equations |
Numerical Analysis |
Mathematical Modeling and Industrial Mathematics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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General Nonlinear Differential Algebraic Equations and Tracking Problems: A Robotics Example -- DAE Aspects in Vehicle Dynamics and Mobile Robotics -- Open-loop Control of Underactuated Mechanical Systems Using Servo-constraints: Analysis and Some Examples -- Systems of Differential Algebraic Equations in Computational Electromagnetics -- Gas Network Benchmark Models -- Topological Index Analysis Applied to Coupled Flow Networks -- Nonsmooth DAEs with Applications in Modeling Phase Changes -- Continuous, Semi-Discrete, and Fully Discretized Navier-Stokes Equations. |
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Sommario/riassunto |
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This volume encompasses prototypical, innovative and emerging examples and benchmarks of Differential-Algebraic Equations (DAEs) and their applications, such as electrical networks, chemical reactors, multibody systems, and multiphysics models, to name but a few. Each article begins with an exposition of modelling, explaining whether the model is prototypical and for which applications it is used. This is |
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followed by a mathematical analysis, and if appropriate, a discussion of the numerical aspects including simulation. Additionally, benchmark examples are included throughout the text. Mathematicians, engineers, and other scientists, working in both academia and industry either on differential-algebraic equations and systems or on problems where the tools and insight provided by differential-algebraic equations could be useful, would find this book resourceful. |
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