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Numerical Methods for Non-Newtonian Fluids: Special Volume, Volume 16 [Kõva köide]

Series edited by (City University of Hong Kong, Kowloon), Volume editor (Department of Mathematics, University of Houston, Houston, TX, USA), Volume editor (Department of Mathematics, Pennsylvania State University, University Park, PA, USA)
  • Formaat: Hardback, 824 pages, kõrgus x laius: 240x165 mm, kaal: 1610 g
  • Sari: Handbook of Numerical Analysis
  • Ilmumisaeg: 20-Dec-2010
  • Kirjastus: North-Holland
  • ISBN-10: 0444530479
  • ISBN-13: 9780444530479
Teised raamatud teemal:
  • Formaat: Hardback, 824 pages, kõrgus x laius: 240x165 mm, kaal: 1610 g
  • Sari: Handbook of Numerical Analysis
  • Ilmumisaeg: 20-Dec-2010
  • Kirjastus: North-Holland
  • ISBN-10: 0444530479
  • ISBN-13: 9780444530479
Teised raamatud teemal:

Non-Newtonian flows and their numerical simulations have generated an abundant literature, as well as many publications and references to which can be found in this volume’s articles. This abundance of publications can be explained by the fact that non-Newtonian fluids occur in many real life situations: the food industry, oil & gas industry, chemical, civil and mechanical engineering, the bio-Sciences, to name just a few. Mathematical and numerical analysis of non-Newtonian fluid flow models provide challenging problems to partial differential equations specialists and applied computational mathematicians alike.

This volume offers investigations. Results and conclusions that will no doubt be useful to engineers and computational and applied mathematicians who are focused on various aspects of non-Newtonian Fluid Mechanics.

New review of well-known computational methods for the simulation viscoelastic and viscoplastic types.; Discusses new numerical methods that have proven to be more efficient and more accurate than traditional methods.; Articles that discuss the numerical simulation of particulate flow for viscoelastic fluids.;



Arvustused

"This excellent volume gives a complete and up-to-date presentation of numerical methods for solving many problems of incompressible flow. The emphasis is on Navier-Stokes equations, but the volume also treats other important flows such as particulate flows and visco-plastic flows...this volume is very clear and so well written that it is even accessible at the level of P.H.D. students. It is a unique reference text on incompressible flow for researchers and engineers." --Vivette Girault

Muu info

Solid overview of the major new ideas and results in Numerical Methods for Non-Newtonian Fluids
Volume I
Finite Difference Methods (Part 1)
Introduction
3(2)
G.I. Marchuk
Finite Difference Methods for Linear Parabolic Equations
5(192)
V. Thomee
Splitting and Alternating Direction Methods
197(268)
G.I. Marchuk
Solution of Equations in Rn (Part 1)
Least Squares Methods
465
A. Bjorck
Volume II
Finite Element Methods (Part 1)
Finite Elements: An Introduction
3(14)
J.T. Oden
Basic Error Estimates for Elliptic Problems
17(336)
P.G. Ciarlet
Local Behavior in Finite Element Methods
353(170)
L.B. Wahlbin
Mixed and Hybrid Methods
523(118)
J.E. Roberts
J.-M. Thomas
Eigenvalue Problems
641(148)
I. Babuska
J. Osborn
Evolution Problems
789
H. Fujita
T. Suzuki
Volume III
Techniques of Scientific Computing (Part 1)
Historical Perspective on Interpolation, Approximation and Quadrature
3(44)
C. Brezinski
Pade Approximations
47(176)
C. Brezinski
J. van Iseghem
Approximation and Interpolation Theory
223(242)
Bl. Sendov
A. Andreev
Numerical Methods for Solids (Part 1)
Numerical Methods for Nonlinear Three-Dimensional Elasticity
465(160)
P. Le Tallec
Solution of Equations in Rn (Part 2)
Numerical Solution of Polynomial Equations
625
Bl. Sendov
A. Andreev
N. Kjurkchiev
Volume IV
Finite Element Methods (Part 2)
Origins, Milestones and Directions of the Finite Element Method - A Personal View
3(66)
O.C. Zienkiewicz
Automatic Mesh Generation and Finite Element Computation
69(124)
P.L. George
Numerical Methods for Solids (Part 2)
Limit Analysis of Collapse States
193(120)
E. Christiansen
Numerical Methods for Unilateral Problems in Solid Mechanics
313(174)
J. Haslinger
I. Hlavacek
J. Necas
Mathematical Modeling of Rods
487
L. Trabucho
J.M. Viano
Volume V
Techniques of Scientific Computing (Part 2)
Numerical Path Following
3(206)
E.L. Allgower
K. Georg
Spectral Methods
209(278)
C. Bernardi
Y. Maday
Numerical Analysis for Nonlinear and Bifurcation Problems
487(152)
G. Caloz
J. Rappaz
Wavelets and Fast Numerical Algorithms
639(76)
Y. Meyer
Computer Aided Geometric Design
715
J.-J. Risler
Volume VI
Numerical Methods for Solids (Part 3)
Iterative Finite Element Solutions in Nonlinear Solid Mechanics
3(180)
R.M. Ferencz
T.J.R. Hughes
Numerical Analysis and Simulation of Plasticity
183(320)
J.C. Simo
Numerical Methods for Fluids (Part 1)
NavierStokes Equations: Theory and Approximation
503
M. Marion
R. Temam
Volume VII
Solution of Equations in Rn (Part 3)
Gaussian Elimination for the Solution of Linear Systems of Equations
3(170)
G. Meurant
Techniques of Scientific Computing (Part 3)
The Analysis of Multigrid Methods
173(244)
J.H. Bramble
X. Zhang
Wavelet Methods in Numerical Analysis
417(296)
A. Cohen
Finite Volume Methods
713
R. Eymard
T. Gallouet
R. Herbin
Volume VIII
Solution of Equations in Rn (Part 4)
Computational Methods for Large Eigenvalue Problems
3(180)
H.A. van der Vorst
Techniques of Scientific Computing (Part 4)
Theoretical and Numerical Analysis of Differential-Algebraic Equations
183(360)
P.J. Rabier
W.C. Rheinboldt
Numerical Methods for Fluids (Part 2)
Mathematical Modeling and Analysis of Viscoelastic Fluids of the Oldroyd Kind
543
E. Ferndudez-Cara
F. Guillen
R.R. Ortega
Volume IX
Numerical Methods for Fluids (Part 3)
Finite Element Methods for Incompressible Viscous Flow
3(1)
R. Glowinski
Volume X
Special Volume Computational Chemistry
Computational Quantum Chemistry: A Primer
3(268)
E. Cances
M. Defranceschi
W. Kutzelnigg
C. Le Bris
Y. Maday
The Modeling and Simulation of the Liquid Phase
271(106)
J. Tomasi
B. Mennucci
P. Lang
An Introduction to First-Principles Simulations of Extended Systems. F. Finocchi
377(76)
J. Goniakowski
X. Gonze
C. Pisani
Computational Approaches of Relativistic Models in Quantum Chemistry
453(32)
J.P. Desclaux
J. Dolbeault
M.J. Esteban
P. Indelicato
E. Sere
Quantum Monte Carlo Methods for the Solution of the Schrodinger Equation for Molecular Systems
485(52)
A. Aspuru-Guzik
W.A. Lester, Jr.
Linear Sealing Methods for the Solution of Schrodinger's Equation
537(34)
S. Gaedecker
Finite Difference Methods for Ab Initio Electronic Structure and Quantum Transport Calculations of Nanostructures
571(42)
J.-L. Fattebert
M. Buongiorno Nardelli
Using Real Space Pseudopotentials for the Electronic Structure Problem
613(26)
J.R. Chelikowsky
L. Kronik
I. Vasiliev
M. Jain
Y. Saad
Scalable Multiresolution Algorithms for Classical and Quantum Molecular Dynamics Simulations of Nanosystems
639(28)
A. Nakano
T.J. Campbell
R.K. Kalia
S. Kodiyalam
S. Ogata
F. Shimojo
X. Su
P. Vashishta
Simulating Chemical Reactions in Complex Systems
667(32)
M.J. Field
Biomolecular Conformations Can Be Identified as Metastable Sets of Molecular Dynamics
699(46)
C. Schutte
W. Huisinga
Theory of Intense Laser-Induced Molecular Dissociation: From Simulation to Control
745(58)
O. Atabek
R. Lefebvre
T.T. Nguyen-Dang
Numerical Methods for Molecular Time-Dependent Schrodinger Equations - Bridging the Perturbative to Nonperturbative Regime
803(30)
A.D. Bandrauk
H.-Z. Lu
Control of Quantum Dynamics: Concepts, Procedures and Future Prospects
833
H. Rabitz
G. Turinici
E. Brown
Volume XI
Special Volume: Foundations of Computational Mathematics
On the Foundations of Computational Mathematics
3(32)
B.J.C. Baxter
A. Iserles
Geometric Integration and its Applications
35(106)
C.J. Budd
M.D. Piggott
Linear Programming and Condition Numbers under the Real Number Computation Model
141(68)
D. Cheung
F. Cucker
Y. Ye
Numerical Solution of Polynomial Systems by Homotopy Continuation Methods
209(96)
T.Y. Li
Chaos in Finite Difference Scheme
305(78)
M. Yamaguti
Y. Maeda
Introduction to Partial Differential Equations and Variational Formulations in Image Processing
383
G. Sapiro
Volume XII
Special Volume: Computational Models for the Human Body
Mathematical Modeling and Numerical Simulation of the Cardiovascular System
3(126)
A. Quarteroni
L. Formaggia
Computational Methods for Cardiac Electrophysiology
129(60)
M.E. Belik
T.P. Usyk
A.D. McCulloch
Mathematical Analysis, Controllability and Numerical Simulation of a Simple Model of Avascular Tumor Growth
189(42)
J.I. Diaz
J.I. Tello
Human Models for Crash and Impact Simulation
231(222)
E. Haug
H.-Y. Choi
S. Robin
M. Beaugonin
Soft Tissue Modeling for Surgery Simulation
453(98)
H. Delingette
N. Ayache
Recovering Displacements and Deformations from 3D Medical Images Using Biomechanical Models
551(40)
X. Papademetris
O. Skrinjar
J.S. Duncan
Methods for Modeling and Predicting Mechanical Deformations of the Breast under External Perturbations
591
F.S. Azar
D.N. Metaxas
M.D. Schnall
Volume XIII
Special Volume: Numerical Methods in Electromagnetics
Introduction to Electromagnetism
3(102)
W. Magnus
W. Schoenmaker
Discretization of Electromagnetic Problems: The "Generalized Finite Differences" Approach
105(94)
A. Bossavit
Finite-Difference Time-Domain Methods
199(118)
S.C. Hagness
A. Taflove
S.D. Gedney
Discretization of Semiconductor Device Problems (I)
317(126)
F. Brezzi
L.D. Marini
S. Micheletti
P. Pietra
R. Sacco
S. Wang
Discretization of Semiconductor Device Problems (II). A.M. Anile
443(80)
N. Nikiforakis
V. Romano
G. Russo
Modeling and Discretization of Circuit Problems
523(138)
M. Gunther
U. Feldmann
J. ter Maten
Simulation of EMC Behaviour
661(94)
A.J.H. Wachters
W.H.A. Schilders
Solution of Linear Systems
755(70)
O. Schenk
H.A. van der Vorst
Reduced-Order Modeling
825
Z. Bai
P.M. Dewilde
R.W. Freund
Volume XIV
Special Volume: Computational Methods for the Atmosphere and the Oceans
Finite-Volume Methods in Meteorology
3(118)
Bennert Machenhauer
Eigil Kaas
Peter Hjort Lauritzen
Computational Kernel Algorithms for Fine-Scale, Multiprocess, Longtime Oceanic Simulations
121(66)
Alexander F. Shchepetkin
James C. McWilliams
Bifurcation Analysis of Ocean. Atmosphere and Climate Models
187(44)
Eric Simonnet
Henk A. Dijkstra
Michael Ghil
Time-Periodic Flows in Geophysical and Classical Fluid Dynamics
231(16)
R. M. Samelson
Momentum Maps for Lattice EPDiff
247(32)
Colin J. Cotter
Darryl D. Holm
Numerical Generation of Stochastic Differential Equations in Climate Models
279(30)
Brian Ewald
Cecile Penland
Large-eddy Simulations for Geophysical Fluid Dynamics
309(30)
Marcel Lesieur
Olivier Metais
Two Examples from Geophysical and Astrophysical Turbulence on Modeling Disparate Scale Interactions
339(46)
Pablo Mininni
Annick Pouquet
Peter Sullivan
Data Assimilation for Geophysical Fluids
385(58)
Jacques Blum
Francois-Xavier Le Dimet
I. Michael Navon
Energetic Consistency and Coupling of the Mean and Covariance Dynamics
443(38)
Stephen E. Cohn
Boundary Value Problems for the Inviscid Primitive Equations in Limited Domains
481(96)
Antoine Rousseau
Roger M. Temam
Joseph J. Tribbia
Some Mathematical Problems in Geophysical Fluid Dynamics
577
Madalina Petcu
Roger M. Temam
Mohammed Ziane
Volume XV
Special Volume: Mathematical Modeling and Numerical Methods in Finance
Mathematical Models (Part I)
Model Risk in Finance: Some Modeling and Numerical Analysis Issues
3(26)
Denis Talay
Robust Preferences and Robust Portfolio Choice
29(60)
Alexander Schied
Hans Follmer
Stefan Weber
Stochastic Portfolio Theory: an Overview
89(80)
Ioannis Karatzas
Robert Fernholz
Asymmetric Variance Reduction for Pricing American Options
169(20)
Chuan-Hsiang Han
Jean-Pierre Fouque
Downside and Drawdown Risk Characteristics of Optimal Portfolios in Continuous Time
189(38)
Dennis Yang
Minjie Yu
Qiang Zhang
Investment Performance Measurement Under Asymptotically Linear Local Risk Tolerance
227(28)
T. Zariphopoulou
T. Zhou
Malliavin Calculus for Pure Jump Processes and Applications to Finance
255(44)
Marie-Pierre Bavouzet
Marouen Messaoud
Vlad Bally
Computational Methods (Part II)
On the Discrete Time Capital Asset Pricing Model
299(26)
Alain Bensoussan
Numerical Approximation by Quantization of Control Problems in Finance Under Partial Observations
325(36)
Huyen Pham
Marco Corsi
Wolfgang J. Runggaldier
Recombining Binomial Tree Approximations for Diffusions
361(8)
John van der Hoek
Partial Differential Equations for Option Pricing
369(128)
Olivier Pironneau
Yves Achdou
Advanced Monte Carlo Methods for Barrier and Related Exotic Options
497(34)
Emmanuel Gobet
Applications (Part III)
Real Options
531(42)
Alain Bensoussan
Anticipative Stochastic Control for Levy Processes With Application to Insider Trading
573(22)
Agnes Sulem
Arturo Kohatsu-Higa
Bernt Øksendal
Frank Proske
Giulia Di Nunno
Thilo Meyer-Brandis
Optimal Quantization for Finance: From Random Vectors to Stochastic Processes
595(54)
Gilles Pages
Jacques Printems
Stochastic Clock and Financial Markets
649(16)
Helyette Geman
Analytical Approximate Solutions to American Barrier and Lookback Option Values
665(20)
Tanya Taksar
Qiang Zhang
Asset Prices With Regime-Switching Variance Gamma Dynamics
685(28)
Andrew J. Royal
Robert J. Elliott
Index 713