Numerical Methods for Flows: Fef 2017 Selected Contributions, Van Brummelen Harald, Corsini Alessandro, Perotto Simona
Автор: Pundir Название: Numerical Methods in Science and Engineering (PB) ISBN: 9386217643 ISBN-13(EAN): 9789386217646 Издательство: CBS India Рейтинг: Цена: 6218.00 р. Наличие на складе: Нет в наличии.
Examines numerical and semi-analytical methods for differential equations that can be used for solving practical ODEs and PDEs
This student-friendly book deals with various approaches for solving differential equations numerically or semi-analytically depending on the type of equations and offers simple example problems to help readers along.
Featuring both traditional and recent methods, Advanced Numerical and Semi Analytical Methods for Differential Equations begins with a review of basic numerical methods. It then looks at Laplace, Fourier, and weighted residual methods for solving differential equations. A new challenging method of Boundary Characteristics Orthogonal Polynomials (BCOPs) is introduced next. The book then discusses Finite Difference Method (FDM), Finite Element Method (FEM), Finite Volume Method (FVM), and Boundary Element Method (BEM). Following that, analytical/semi analytic methods like Akbari Ganji's Method (AGM) and Exp-function are used to solve nonlinear differential equations. Nonlinear differential equations using semi-analytical methods are also addressed, namely Adomian Decomposition Method (ADM), Homotopy Perturbation Method (HPM), Variational Iteration Method (VIM), and Homotopy Analysis Method (HAM). Other topics covered include: emerging areas of research related to the solution of differential equations based on differential quadrature and wavelet approach; combined and hybrid methods for solving differential equations; as well as an overview of fractal differential equations. Further, uncertainty in term of intervals and fuzzy numbers have also been included, along with the interval finite element method. This book:
Discusses various methods for solving linear and nonlinear ODEs and PDEs
Covers basic numerical techniques for solving differential equations along with various discretization methods
Investigates nonlinear differential equations using semi-analytical methods
Examines differential equations in an uncertain environment
Includes a new scenario in which uncertainty (in term of intervals and fuzzy numbers) has been included in differential equations
Contains solved example problems, as well as some unsolved problems for self-validation of the topics covered
Advanced Numerical and Semi Analytical Methods for Differential Equations is an excellent text for graduate as well as post graduate students and researchers studying various methods for solving differential equations, numerically and semi-analytically.
Описание: Part I: Stochastic Chemical Reactions.- Test Models for Statistical Inference: Two-Dimensional Reaction Systems Displaying Limit Cycle Bifurcations and Bistability.- Importance Sampling for Metastable and Multiscale Dynamical Systems.- Multiscale Simulation of Stochastic Reaction-diffusion Networks.- Part II: Stochastic Numerical Approaches, Algorithms and Coarse-Grained Simulations.- Numerical Methods for Ergodic SDEs: When Stochastic Integration Meets Geometric Integration.-Stability and Strong Convergence for Spatial Stochastic Kinetics.- The T cells in an Ageing Virtual Mouse.- Part III: Analysis of Stochastic Dynamical Systems for Modeling Cell Biology.- Model reduction for Stochastic Reaction Systems.- ZI-closure Scheme: A Method to Solve and Study Stochastic Reaction Networks.- Deterministic and Stochastic Becker-Dцring Equations: Past and Recent Mathematical Developments.- Coagulation-Fragmentation with a Finite Number of Particles: Models, Stochastic Analysis and Applications to Telomere Clustering and Viral Capsid Assembly.- A Review of Stochastic and Delay Simulation Approaches in both Time and Space in Computational Cell Biology.- Part IV: Diffusion Processes and Stochastic Modeling.- Recent Mathematical Models of Axonal Transport.- Stochastic Models for Evolving Cellular Populations of Mitochondria: Disease, Development, and Ageing.- Modeling and Stochastic Analysis of the Single Photon Response.- A Phenomenological Spatial Model for Macro-ecological Patterns in Species-rich Ecosystems.
Описание: Der vorliegende Band stellt Vortragsmanuskripte einer am Mathematischen Forschungsinstitut, Oberwolfach, in der Zeit vom 25. bis 31. Mai 1975 veran- stalteten Tagung zusammen, die unter der Leitung der Unterzeichner stand. Die letzten dieser Tagungen uber numerische Methoden der Approximations- theorie fanden 1971 und 1973 statt - der Schwerpunkt lag bei Fragen der Numerik von Algorithmen zur Darstellung von Funktionen -, lieen aber bereits ein wachsendes Interesse an Anwendungen erkennen. Die diesjahrige Tagung war gekennzeichnet durch die Behandlung praktischer AufgabensteI- lungen sowie durch die Einbeziehung der Anwendungen aus Nachbargebie- ten bzw. die Verwendung der Methoden dieser Gebiete in der Approxima- tionstheorie, insbesondere wurde auch auf die Beziehungen von Optimierung und Kontrolltheorie zu speziellen approximationstheoretischen Aufgaben eingegangen. Der starke Einflu auf die numerischen Methoden zur Behand- lung von Differentialgleichungen wurde etwa bei der Methode der finiten Elemente oder bei Kollokationsaufgaben deutlich. So ist zu hoffen, da auch diese Tagung dazu beigetragen hat, Theorie und Anwendungen wieder starker zu verbinden. Die spezifische Atmosphare des Forschungsinstituts stimulierte einen intensi- ven, durch die breite internationale Streuung der Tagungsteilnehmer verstark- ten, fruchtbaren Gedankenaustausch. Zum Erfolg der Tagung trug - wie immer - die hervorragende Betreuung durch die Mitarbeiter und Angestellten des Forschungsinstituts und das verstandnisvolle Entgegenkommen von Herrn Kollege Barner bei. Unser besonderer Dank gilt ferner dem Birkhauser Verlag fur die sehr gute Ausstattung des Buches. L. COLLATZ, G. MEINARDUS, H. WERNER Inhaltsverzeichnis ANSELONE, P. M., LEE, J. W.: Double Approximation Methods for the Solution of Fredholm Integral Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Описание: Finite element methods are the most popular methods for solving partial differential equations numerically, and despite having a history of more than 50 years, there is still active research on their analysis, application and extension.
Part I: Function Theory and Approximation Theory.- M. L. Goldman and E. Bakhtigareeva: Some General Properties of Operators in Morrey-type Spaces.- V. S. Guliyev, A. Eroglu and G. A. Abasova: Characterization of Parabolic Fractional Maximal Function and its Commutators in Orlicz Spaces.- A. Iosevich and K. Taylor: Finite Trees Inside Thin Subsets of Rd.- A. Karapetyants and J. E. Restrepo: Boundedness of Projection Operator in Generalized Holomorphic and Harmonic Spaces of Hцlder Type Functions.- K.S. Kazarian: Generalized Fourier Series by the Double Trigonometric System.- E. Liflyand: Hardy Type Inequalities in the Category of Hausdorff Operators.- H. R. Malonek, I. Caзгo, M. I. Falcгo and G. Tomaz: Harmonic Analysis and Hypercomplex Function Theory in Co-dimension One.- Y. Sawano: Paraproduct in Besov-Morrey Spaces.- Part II: Functional Analysis and Operator Theory.- E. I. Berezhnoĭ Analogs of the Khintchin - Kolmogorov Inequalities in Discrete Morrey Spaces.- R. Duduchava: Mellin Convolution Equations.- D. Hasanyan, A. Kamalyan, M. Karakhanyan & I. M. Spitkovsky: Integral Operators of the L-convolution Type in the Case of a Reflectionless Potential.- Y. Krasnov: Spectral Theory for Nonlinear Operators: Quadratic Case.- A. G. Kusraev and Z. A. Kusraeva: Factorization of Order Bounded Disjointness Preserving Multilinear Operators.- D. B. Rokhlin: Robbins-Monro Conditions for Persistent Exploration Learning Strategies.- E. Shulman: On Widths of Invariant Sets.- I. G. Tsar'kov: The Distance Function and Boundedness of Diameters of the Nearest Elements.- Part III: Differential Equations and Mathematical Physics.- H. S. Aslan and M. Reissig: The Influence of Oscillations on Energy Estimates for Damped Wave Models with Time-dependent Propagation Speed and Dissipation.- A. H. Babayan and S. H. Abelyan: On a Dirichlet Problem for One Improperly Elliptic Equation.- N. Gialelis and I. G. Stratis: On the 1-dim Defocusing NLS Equation with Non-vanishing Initial Data at Infinity.- Y. E. Gliklikh: On Time-global Solutions of SDE Having Nowhere Vanishing Initial Densities.- F. A. Gуmez and V. V. Kravchenko: On Transmutation Operators and Neumann Series of Bessel Functions Representations for Solutions of Linear Higher Order Differential Equations.- H.M. Hayrapetyan: On a Boundary Value Problem with Infinite Index.- O. Kudryavtsev and V. Rodochenko: A Numerical Realization of the Wiener-Hopf Method for the Kolmogorov Backward Equation.- A. Vatulyan and V. Yurov: On Waves Processes in Transversally-inhomogeneous Waveguides.- V. Yurko: Inverse Spectral Problems for Differential Systems.
Описание: On 26 May 1994, a reception took place in the Department of Mechanical Engineering at Berkeley, at which Naghdi received The Berkeley Citation (which is given in lieu of an honorary degree) and where he was also presented with the Table of Contents of the present collection.
Описание: This book draws together the most interesting recent results to emerge in mechanical engineering in Russia, providing a fascinating overview of the state of the art in the field in that country which will be of interest to a wide readership.
Описание: This book explores four guiding themes - reduced order modelling, high dimensional problems, efficient algorithms, and applications - by reviewing recent algorithmic and mathematical advances and the development of new research directions for uncertainty quantification in the context of partial differential equations with random inputs.
Описание: 1. N. Anantharaman, H. Koch, S. Nonnenmacher, Entropy of Eigenfunctions 2. G. Benfatto, Rigorous construction of Luttinger liquids through Ward identities 3. C. Bergbauer, D. Kreimer, New algebraic aspects of perturbative and non-perturbative Quantum Field Theory 4. P. Bleher, Exact solution of the Six-vertex model with domain wall boundary conditions 5. M. Bojowald, mathematical issues in loop quantum cosmology 6. L. Bertini, S. Brassesco, P. Butta, Boundary effects on the interface dynamics for the stochastic Allen-Cahn equation. 7. J. Buzzi, Dimensional entropies and semi-uniform hyperbolicity 8. F. Camia, The scaling limit of (Near-) critical 2D percolation 9. G.L. Cardoso, Black hole entropy function and duality 10. J. Colliander, Weak turbulence for periodic NLS 11. S. Dain, Angular momentum-mass inequality for axisymmetric black holes 12. D. Damanik, Almost everything about the Fibonacci operator 13. I. Davetak, T. Brun, M.-H. Hsieh, Entanglement-assisted quantum error-correcting codes 14. G. Delfino, Particle decay in Ising field theory with magnetic field 15. B. Derrida, Fluctuations and large deviations in non-equilibrium systems 16. L. Diaz, Robust heterodimensional cycles and tame dynamics 17. B. Dubrovin, Hamiltonian perturbations of hyperbolic PDEs: from classification results to the properties of solutions 18. P. Fendley, K. Schoutens, Lattice supersymmetry from the ground up 19. L.R.G. Fontes, P.H.S. Lima, Convergence of symmetric trap models in the hypercube 20. F. Guerra, Spontaneous replica symmetry breaking in the mean field spin glass model 21. S. Gukov, Surface Operators and Knot Homologies 22. Y. Kawahigashi, Conformal Field Theory and Operator Algebras. 23. A. Kiselev, Diffusion and mixing in fluid flow: a review 24. F. Germinet, A. Klein, Random Schrodingeroperators: Localization and delocalization, and all that 25. A. Kleinschmidt, Unifying R-symmetry in M-theory 26. O. Kozlovski, S. van Strien, Stable maps are dense in dimension one 27. I. Krasovsky, large gap asymptotics for random matrices 28. G. Landi, Noncommutatiove manifolds and quantum groups 29. M. Marinho, Topological strings on local curves 30. M. Merkli, Repeated interaction quantum systems 31. J. Mund, String-localized quantum fields, modular localization, and gauge theories 32. G. Mussardo, Kinks and particles in non-integrable Quantum Field Theory 33. A. Jensen, G. Nenciu, Exponential decay laws in perturbation theory of threshold an embedded eigenvalues 34. S. Olla, Energy diffusion and superdiffusion in oscillators lattice networks 35. E.R. Pujals, Trying to characterize robust and generic dynamics 36. B. Schlein, Dynamics of Bose-Einstein condensates 37. B. Nachtergaele, R. Sims, Locality estimates for quantum spin systems 38. A. Soshnikov, On reseolvent identities in Gaussian ensembles at the edge of the spectrum 39. H. Spohn, Energy current correlations for weakly anharmonic lattices 40. C.M. Newman, D.L. Stein, Metastates, translation ergodicity, and simplicity of thermodynamic states in disordered systems: an illustration 41. M.Sh. Birman, T.A. Suslina, Homogenization of periodic differential operators as a spectral threshold effect 42. P. Dorey, C. Dunning, D. Masoero, J. Suzuki, R. Tateo, ABCD and ODEs 43. J. Teschner, Nonrational conformal field theory 44. C. A. Tracy, H. Widom, The distributions of random matrix theory and their applications 45. J. Kappeli, S. Theisen, P. Vanhove, Hybrid formalism and topological amplitudes 46. M. Aizenman, E.H. Lieb, R. Seiringer, J.P. Solovej, J. Yngvason, Quantum phases of cold bosons in an optical lattice 47. O. Zeitouni, R
Автор: Sven Gross; Arnold Reusken Название: Numerical Methods for Two-phase Incompressible Flows ISBN: 3642268110 ISBN-13(EAN): 9783642268113 Издательство: Springer Рейтинг: Цена: 20263.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book examines numerical methods for two-phase incompressible flow problems. It details the complete simulation track, from modeling via development and analysis of numerical methods to numerical experiments.
Автор: Isadora Antoniano-Villalobos; Rams?s H. Mena; Manu Название: Selected Contributions on Statistics and Data Science in Latin America ISBN: 3030315509 ISBN-13(EAN): 9783030315504 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The volume includes a collection of peer-reviewed contributions from among those presented at the main conference organized yearly by the Mexican Statistical Association (AME) and every two years by a Latin-American Confederation of Statistical Societies. For the 2018 edition, particular attention was placed on the analysis of highly complex or large data sets, which have come to be known as “big data”. Statistical research in Latin America is prolific and research networks span within and outside the region. The goal of this volume is to provide access to selected works from Latin-American collaborators and their research networks to a wider audience. New methodological advances, motivated in part by the challenges of a data-driven world and the Latin American context, will be of interest to academics and practitioners around the world.
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