Autore	Hinsen Konrad
Edizione	[Second edition.]
Pubbl/distr/stampa	Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : , : IOP Publishing, , [2020]
Descrizione fisica	1 online resource (various pagings) : illustrations (some color)
Disciplina	501/.51
Collana	IOP ebooks
Soggetto topico	Science - Mathematics
ISBN	9780750332866 0750332867 9780750332873 0750332875
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	1. What is computation? -- 1.1. Defining computation -- 1.2. The roles of computation in scientific research -- 1.3. Analog computing -- 1.4. Further reading 2. Computation in science -- 2.1. Traditional science : celestial mechanics -- 2.2. Scientific models and computation -- 2.3. Computation at the interface between observations and models -- 2.4. Computation for developing insight -- 2.5. The impact of computing on science -- 2.6. Further reading 3. Formalizing computation -- 3.1. From manual computation to rewriting rules -- 3.2. From computing machines to automata theory -- 3.3. Computability -- 3.4. Restricted models of computation -- 3.5. Computational complexity -- 3.6. Computing with numbers -- 3.7. Further reading 4. Automating computation -- 4.1. Computer architectures -- 4.2. Programming languages -- 4.3. Observing program execution -- 4.4. Software engineering -- 4.5. Further reading 5. Taming complexity -- 5.1. Chaos and complexity in computation -- 5.2. Verification, validation, and testing -- 5.3. Abstraction -- 5.4. Managing state -- 5.5. Incidental complexity and technical debt -- 5.6. Further reading 6. Computational reproducibility -- 6.1. Reproducibility : a core value of science -- 6.2. Repeating, reproducing, replicating -- 6.3. The role of computation in the reproducibility crisis -- 6.4. Non-reproducible determinism -- 6.5. Staged computation -- 6.6. Replicability, robustness, and reuse -- 6.7. Managing software evolution -- 6.8. Best practices for reproducible and replicable computational science -- 6.9. Further reading 7. Outlook : scientific knowledge in the digital age -- 7.1. The scientific record goes digital -- 7.2. Procedural knowledge turns into software -- 7.3. Machine learning : the fusion of factual and procedural knowledge -- 7.4. The time scales of scientific progress and computing -- 7.5. The industrialization of science -- 7.6. Preparing the future -- 7.7. Further reading.
Record Nr.	UNINA-9911009174903321

Autore	Herrera Ismael
Edizione	[1st ed.]
Pubbl/distr/stampa	Hoboken, N.J., : Wiley, 2012
Descrizione fisica	1 online resource (259 p.)
Disciplina	501/.51
Altri autori (Persone)	PinderGeorge Francis <1942->
Soggetto topico	System analysis - Mathematical models Science - Mathematical models Engineering - Mathematical models
Soggetto genere / forma	Electronic books.
ISBN	1-280-59115-3 9786613620989 1-118-20722-X 1-118-20723-8 1-118-20720-3
Classificazione	TEC009000
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	MATHEMATICAL MODELING IN SCIENCE AND ENGINEERING: An Axiomatic Approach; CONTENTS; Preface; 1 AXIOMATIC FORMULATION OF THE BASIC MODELS; 1.1 Models; 1.2 Microscopic and macroscopic physics; 1.3 Kinematics of continuous systems; 1.3.1 Intensive properties; 1.3.2 Extensive properties; 1.4 Balance equations of extensive and intensive properties; 1.4.1 Global balance equations; 1.4.2 The local balance equations; 1.4.3 The role of balance conditions in the modeling of continuous systems; 1.4.4 Formulation of motion restrictions by means of balance equations; 1.5 Summary; Exercises; References 2 MECHANICS OF CLASSICAL CONTINUOUS SYSTEMS2.1 One-phase systems; 2.2 The basic mathematical model of one-phase systems; 2.3 The extensive/intensive properties of classical mechanics; 2.4 Mass conservation; 2.5 Linear momentum balance; 2.6 Angular momentum balance; 2.7 Energy concepts; 2.8 The balance of kinetic energy; 2.9 The balance of internal energy; 2.10 Heat equivalent of mechanical work; 2.11 Summary of basic equations for solid and fluid mechanics; 2.12 Some basic concepts of thermodynamics; 2.12.1 Heat transport; 2.13 Summary; Exercises; References 3 MECHANICS OF NON-CLASSICAL CONTINUOUS SYSTEMS3.1 Multiphase systems; 3.2 The basic mathematical model of multiphase systems; 3.3 Solute transport in a free fluid; 3.4 Transport by fluids in porous media; 3.5 Flow of fluids through porous media; 3.6 Petroleum reservoirs: the black-oil model; 3.6.1 Assumptions of the black-oil model; 3.6.2 Notation; 3.6.3 Family of extensive properties; 3.6.4 Differential equations and jump conditions; 3.7 Summary; Exercises; References; 4 SOLUTE TRANSPORT BY A FREE FLUID; 4.1 The general equation of solute transport by a free fluid; 4.2 Transport processes 4.2.1 Advection4.2.2 Diffusion processes; 4.3 Mass generation processes; 4.4 Differential equations of diffusive transport; 4.5 Well-posed problems for diffusive transport; 4.5.1 Time-dependent problems; 4.5.2 Steady state; 4.6 First-order irreversible processes; 4.7 Differential equations of non-diffusive transport; 4.8 Well-posed problems for non-diffusive transport; 4.8.1 Well-posed problems in one spatial dimension; 4.8.2 Well-posed problems in several spatial dimensions; 4.8.3 Well-posed problems for steady-state models; 4.9 Summary; Exercises; References 5 FLOW OF A FLUID IN A POROUS MEDIUM5.1 Basic assumptions of the flow model; 5.2 The basic model for the flow of a fluid through a porous medium; 5.3 Modeling the elasticity and compressibility; 5.3.1 Fluid compressibility; 5.3.2 Pore compressibility; 5.3.3 The storage coefficient; 5.4 Darcy's law; 5.5 Piezometric level; 5.6 General equation governing flow through a porous medium; 5.6.1 Special forms of the governing differential equation; 5.7 Applications of the jump conditions; 5.8 Well-posed problems; 5.8.1 Steady-state models; 5.8.2 Time-dependent problems 5.9 Models with a reduced number of spatial dimensions
Record Nr.	UNINA-9910141300103321