LIBROS DEL AUTOR: wolfgang hackbusch

30 resultados para LIBROS DEL AUTOR: wolfgang hackbusch

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  • Tensor Spaces and Numerical Tensor Calculus
    Wolfgang Hackbusch
    Special numerical techniques are already needed to deal with n × n matrices for large n. Tensor data are of size n × n ×...× n=nd, where nd exceeds the computer memory by far. They appear for problems of high spatial dimensions. Since standard methods fail, a particular tensor calculus is needed to treat such problems. This monograph describes the methods by which tensors can b...
    Disponible

    174,30 €

  • Tensor Spaces and Numerical Tensor Calculus
    Wolfgang Hackbusch
    Special numerical techniques are already needed to deal with n × n matrices for large n. Tensor data are of size n × n ×...× n=nd, where nd exceeds the computer memory by far. They appear for problems of high spatial dimensions. Since standard methods fail, a particular tensor calculus is needed to treat such problems. This monograph describes the methods by which tensors can b...
    Disponible

    172,94 €

  • Hierarchical Matrices
    Wolfgang Hackbusch
    This self-contained monograph presents matrix algorithms and their analysis. The new technique enables not only the solution of linear systems but also the approximation of matrix functions, e.g., the matrix exponential. Other applications include the solution of matrix equations, e.g., the Lyapunov or Riccati equation. The required mathematical background can be found in the a...
    Disponible

    223,17 €

  • Iterative Solution of Large Sparse Systems of Equations
    Wolfgang Hackbusch
    In the second edition of this classic monograph, complete with four new chapters and updated references, readers will now have access to content describing and analysing classical and modern methods with emphasis on the algebraic structure of linear iteration, which is usually ignored in other literature.The necessary amount of work increases dramatically with the size of syste...
    Disponible

    223,15 €

  • Elliptic Differential Equations
    Wolfgang Hackbusch
    This book simultaneously presents the theory and the numerical treatment of elliptic boundary value problems, since an understanding of the theory is necessary for the numerical analysis of the discretisation. It first discusses the Laplace equation and its finite difference discretisation before addressing the general linear differential equation of second order. The variation...
    Disponible

    161,47 €

  • Elliptic Differential Equations
    Wolfgang Hackbusch
    This book simultaneously presents the theory and the numerical treatment of elliptic boundary value problems, since an understanding of the theory is necessary for the numerical analysis of the discretisation. It first discusses the Laplace equation and its finite difference discretisation before addressing the general linear differential equation of second order. The variation...
    Disponible

    160,11 €

  • Theorie und Numerik elliptischer Differentialgleichungen
    Wolfgang Hackbusch
    Das Verständnis der numerischen Behandlung elliptischer Differentialgleichungen erfordert notwendigerweise auch die Kenntnisse der Theorie der Differentialgleichungen. Deshalb behandelt das Buch beide parallel. Zunächst wird der klassische Zugang (starke Lösungen, Differenzenverfahren) beschrieben. Dem Maximum-Minimum-Prinzip auf der theoretischen Seite entsprechen beispielswei...
    Disponible

    34,96 €

  • The Concept of Stability in Numerical Mathematics
    Wolfgang Hackbusch
    In this book, the author compares the meaning of stability in different subfields of numerical mathematics.Concept of Stability in numerical mathematics opens by examining the stability of finite algorithms. A more precise definition of stability holds for quadrature and interpolation methods, which the following chapters focus on. The discussion then progresses to the numerica...
    Disponible

    66,68 €

  • Iterative Solution of Large Sparse Systems of Equations
    Wolfgang Hackbusch
    In the second edition of this classic monograph, complete with four new chapters and updated references, readers will now have access to content describing and analysing classical and modern methods with emphasis on the algebraic structure of linear iteration, which is usually ignored in other literature.The necessary amount of work increases dramatically with the size of syste...
    Disponible

    221,80 €

  • Iterative Solution of Large Sparse Systems of Equations
    Wolfgang Hackbusch
    In the second edition of this classic monograph, complete with four new chapters and updated references, readers will now have access to content describing and analysing classical and modern methods with emphasis on the algebraic structure of linear iteration, which is usually ignored in other literature.The necessary amount of work increases dramatically with the size of syste...
    Disponible

    46,68 €

  • Hierarchical Matrices
    Wolfgang Hackbusch
    This self-contained monograph presents matrix algorithms and their analysis. The new technique enables not only the solution of linear systems but also the approximation of matrix functions, e.g., the matrix exponential. Other applications include the solution of matrix equations, e.g., the Lyapunov or Riccati equation. The required mathematical background can be found in the a...
    Disponible

    221,82 €

  • The Concept of Stability in Numerical Mathematics
    Wolfgang Hackbusch
    In this book, the author compares the meaning of stability in different subfields of numerical mathematics.Concept of Stability in numerical mathematics opens by examining the stability of finite algorithms. A more precise definition of stability holds for quadrature and interpolation methods, which the following chapters focus on. The discussion then progresses to the numerica...
    Disponible

    65,33 €

  • Numerical Treatment of Coupled Systems
    Wolfgang Hackbusch
    The coupling considered in this volume may be of physical or numerical nature. Examples of the first kind are the solid-fluid interactions, microelectronic systems, and the coupled modelling in groundwater flow. Examples of the latter kind are the domain or subspace decomposition, the local defect correction method, and the very important FEM-BEM coup...
    Disponible

    134,22 €

  • Tensor Spaces and Numerical Tensor Calculus
    Wolfgang Hackbusch
    ...
    Disponible

    209,48 €

  • Iterative Solution of Large Sparse Systems of Equations
    Wolfgang Hackbusch
    C. F. GauS in a letter from Dec. 26, 1823 to Gerling: 3c~ empfe~le 3~nen biegen IDlobu9 aur 9tac~a~mung. ec~werlic~ werben eie ie wieber bi­ reet eliminiren, wenigftens nic~t, wenn eie me~r als 2 Unbefannte ~aben. :Da9 inbirecte 93erfa~ren 109st sic~ ~alb im ec~lafe ausfii~ren, ober man fann wo~renb be9gelben an anbere :Dinge benfen. [CO F. GauS: Werk...
    Disponible

    65,50 €

  • Integral Equations
    Wolfgang Hackbusch
    The theory of integral equations has been an active research field for many years and is based on analysis, function theory, and functional analysis. On the other hand, integral equations are of practical interest because of the boundary integral equation method, which transforms partial differential equations on a domain into integral equations over ...
    Disponible

    133,49 €

  • Multi-Grid Methods and Applications
    Wolfgang Hackbusch
    Multi-grid methods are the most efficient tools for solving elliptic boundary value problems. The reader finds here an elementary introduction to multi-grid algorithms as well as a comprehensive convergence analysis. One section describes special applications (convection-diffusion equations, singular perturbation problems, eigenvalue problems, etc.). ...
    Disponible

    158,03 €

  • Hierarchische Matrizen
    Wolfgang Hackbusch
    Bei der Diskretisierung von Randwertaufgaben und Integralgleichungen entstehen große, eventuell auch voll besetzte Matrizen. In dem Band stellt der Autor eine neuartige Methode dar, die es erstmals erlaubt, solche Matrizen nicht nur effizient zu speichern, sondern auch alle Matrixoperationen einschließlich der Matrixinversion bzw. der Dreieckszerlegun...
    Disponible

    94,81 €

  • Integralgleichungen
    Wolfgang Hackbusch
    1.1 Integralgleichungen Eine spezielle Integralgleichung ist aus der Analyse gewöhnlicher Differentialgleichungen wohlbekannt. Das Anfangswertproblem (1.1.1} y’(x)=f(x,y) fürx;:,x , 0 wird durch Integration von x bis x in die Form 0 X (1.1.2} y(x)=yo + 1 f(~.y(~JJd; 0 gebracht, da die Integraldarstellung (2} für den Beweis der Existenz und Eindeutigke...
    Disponible

    59,71 €

  • Fast Solvers for Flow Problems
    Gabriel Wittum / Wolfgang Hackbusch
    The GAMM Committee for 'Efficient Numerical Methods for Partial Differential Equations' organises seminars on subjects concerning the algorithmic treatment of par­ tial differential equations. The topics are discretisation methods like the finite element and the boundary element method for various types of applications in structural and fluid mechanic...
    Disponible

    72,37 €

  • Iterative Lösung großer schwachbesetzter Gleichungssysteme
    Wolfgang Hackbusch
    Das Buch entstand aus einem Vorlesungsmanuskript, das der Autor an der Christian-Albrechts-Universität zu Kiel fUr Studenten der Mathematik gelesen hat. Es versucht, den heutigen Stand der iterativen und damit verwandten Verfahren zu beschreiben, ohne allerdings auf zu spezielle Gebiete einzugehen. Mit der Beschränkung auf iterative Ver­ fahren ist be...
    Disponible

    71,85 €

  • Numerical Techniques for Boundary Element Methods
    Wolfgang Hackbusch
    11 The GAMM Committee for Efficient Numerical Methods for Partial 11 Differential Equations organises workshops on subjects concerning the algorithmic treatment of partial differential equations. The topics are discretisation methods like the finite element and the boundary element method for various types of applications in structural and fluid mecha...
    Disponible

    72,85 €

  • Iterative Losung Grosser Schwachbesetzter Gleichungssysteme
    Wolfgang Hackbusch
    4 Die aus der Linearen Algebra benötigten Grundlagen sind noch einmal in Kapitel 2 dieses Buches zusammengestellt. Damit soll zum einen eine geschlossene Darstellung ermöglicht werden, zum anderen ist es notwendig, die aus der Linearen Algebra bekannten Sätze in die hier benötigte Formulierung zu bringen. Vom Umfang her eignet sich eine Auswahl des vo...
    Disponible

    59,69 €

  • Numerical Treatment of the Navier-Stokes Equations
    Rolf Rannacher / Wolfgang Hackbusch
    The most frequently used method for the numerical integration of parabolic differential equa­ tions is the method of lines, where one first uses a discretization of space derivatives by finite differences or finite elements and then uses some time-stepping method for the the solution of resulting system of ordinary differential equations. Such methods...
    Disponible

    72,98 €

  • Integralgleichungen
    Wolfgang Hackbusch
    Die Integralgleichungen stellen ein Gebiet dar. das für sich durchaus selbständig ist und auf einer interessanten Mischung von Analysis. Funktionentheorie und Funktionalanalysis beruht. Auf der anderen Seite gewinnen die Integralgleichungen ihr praktisches Interesse aus der Integralgleichungsmethode. die es erlaubt, partielle Differential­ gleichungen...
    Disponible

    59,72 €

  • Robust Multi-Grid Methods
    Wolfgang Hackbusch
    In full multigrid methods for elliptic difference equations one works on a sequence of meshes where a number of pre- and/or postsmoothing steps are performed on each level. As is well known these methods can converge very fast on problems with a smooth solution and a regular mesh, but the rate of convergence can be severely degraded for problems with ...
    Disponible

    72,60 €

  • Panel Methods in Fluid Mechanics with Emphasis on Aerodynamics
    Josel Ballman / Richard Eppler / Wolfgang Hackbusch
    The GAMM Committee l’or Efficient Numerìcal l 1ethods l’or Partial Differential Equations (GAMM FachausschuB 'Effiziente Numerische Verf’ahren fìir Partielle Differentialgleichungen') organizes conferences and serninars on subjects concerning the algorit hmic treatment of partial differential equation problerns. The two flrst sernìnars 'Efficient Solu...
    Disponible

    90,97 €

  • Theorie und Numerik elliptischer Differentialgleichungen
    Wolfgang Hackbusch
    Dieses Buch ist aus Vorlestmgen entstanden, die der Autor an der Ruhr-Universitiit Bochum und an der Christian-Albrechts-Universitiit Kiel fUr Studenten der Mathematik gehalten hat. Die vorliegende Abhandltmg beschriinkt sich auf partielle Differentialgleichtmgen yom ell i p tis c hen Typ, da andemfalls die Darstelltmg entweder zu oberfliichlich oder ...
    Disponible

    54,05 €

  • Advances in Multi-Grid Methods
    Dietrich Braess / Ulrich Trottenberg / Wolfgang Hackbusch
    During the week of December 8-13, 1984, a conference on Multi-Grid Methods was held at the Mathematisches Forschungs­ institut (Mathematical Research Institute) in Oberwolfach. The conference was suggested by the GAMM-Committee 'Effiziente numerische Verfahren fUr partielle Differentialgleichungen'. We were pleased to have 42 participants from 12 coun...
    Disponible

    73,18 €

  • Efficient Solutions of Elliptic Systems
    Wolfgang Hackbusch
    ...
    Disponible

    73,04 €