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Scientific Computing with Ordinary Differential Equations (Hardcover, 2002 ed.): Peter Deuflhard Scientific Computing with Ordinary Differential Equations (Hardcover, 2002 ed.)
Peter Deuflhard; Translated by W.C. Rheinboldt; Folkmar Bornemann
R2,181 Discovery Miles 21 810 Ships in 12 - 17 working days

This text provides an introduction to the numerical solution of initial and boundary value problems in ordinary differential equations on a firm theoretical basis. The book strictly presents numerical analysis as part of the more general field of scientific computing. Important algorithmic concepts are explained down to questions of software implementation. For initial value problems a dynamical systems approach is used to develop Runge-Kutta, extrapolation, and multistep methods. For boundary value problems including optimal control problems both multiple shooting and collocation methods are worked out in detail. Graduate students and researchers in mathematics, computer science, and engineering will find this book useful. Chapter summaries, detailed illustrations, and exercises are contained throughout the book with many interesting applications taken from a rich variety of areas.Peter Deuflhard is founder and president of the Zuse Institute Berlin (ZIB) and full professor of scientific computing at the Free University of Berlin, department of mathematics and computer science.Folkmar Bornemann is full professor of scientific computing at the Center of Mathematical Sciences, Technical University of Munich.

Numerical Analysis - A First Course in Scientific Computation (Hardcover): Peter Deuflhard, Andreas Hohmann Numerical Analysis - A First Course in Scientific Computation (Hardcover)
Peter Deuflhard, Andreas Hohmann; Translated by F.A. Potra, F. Schulz
R2,670 Discovery Miles 26 700 Ships in 12 - 17 working days
Numerical Analysis in Modern Scientific Computing - An Introduction (Hardcover, 2nd ed. 2003): Peter Deuflhard, Andreas Hohmann Numerical Analysis in Modern Scientific Computing - An Introduction (Hardcover, 2nd ed. 2003)
Peter Deuflhard, Andreas Hohmann
R2,998 Discovery Miles 29 980 Ships in 10 - 15 working days

This introductory book directs the reader to a selection of useful elementary numerical algorithms on a reasonably sound theoretical basis, built up within the text. The primary aim is to develop algorithmic thinking -- emphasizing long living computational concepts over fast changing software issues. The guiding principle is to explain modern numerical analysis concepts applicable in complex scientific computing at much simpler model problems. For example, the two adaptive techniques in numerical quadrature elaborated here carry the germs for either extrapolation methods or multigrid methods in differential equations, which are not treated here. The presentation draws on geometrical intuition wherever appropriate, supported by a large number of illustrations. Numerous exercises are included for further practice and improved understanding. This text will appeal to undergraduate and graduate students as well as researchers in mathematics, computer science, science, and engineering. At the same time it is addressed to practical computational scientists who, via self-study, wish to become acquainted with modern concepts of numerical analysis and scientific computing on an elementary level. Sole prerequisite is undergraduate knowledge in Linear Algebra and Calculus.

A Guide to Numerical Modelling in Systems Biology (Hardcover, 1st ed. 2015): Peter Deuflhard, Susanna Roeblitz A Guide to Numerical Modelling in Systems Biology (Hardcover, 1st ed. 2015)
Peter Deuflhard, Susanna Roeblitz
R1,849 Discovery Miles 18 490 Ships in 12 - 17 working days

This book is intended for students of computational systems biology with only a limited background in mathematics. Typical books on systems biology merely mention algorithmic approaches, but without offering a deeper understanding. On the other hand, mathematical books are typically unreadable for computational biologists. The authors of the present book have worked hard to fill this gap. The result is not a book on systems biology, but on computational methods in systems biology. This book originated from courses taught by the authors at Freie Universitat Berlin. The guiding idea of the courses was to convey those mathematical insights that are indispensable for systems biology, teaching the necessary mathematical prerequisites by means of many illustrative examples and without any theorems. The three chapters cover the mathematical modelling of biochemical and physiological processes, numerical simulation of the dynamics of biological networks and identification of model parameters by means of comparisons with real data. Throughout the text, the strengths and weaknesses of numerical algorithms with respect to various systems biological issues are discussed. Web addresses for downloading the corresponding software are also included.

Newton Methods for Nonlinear Problems - Affine Invariance and Adaptive Algorithms (Hardcover, 1st ed. 2004. Corr. 2nd printing... Newton Methods for Nonlinear Problems - Affine Invariance and Adaptive Algorithms (Hardcover, 1st ed. 2004. Corr. 2nd printing 2005)
Peter Deuflhard
R3,283 Discovery Miles 32 830 Ships in 10 - 15 working days

This book deals with the efficient numerical solution of challenging nonlinear problems in science and engineering, both in finite and in infinite dimension. Its focus is on local and global Newton methods for direct problems or Gauss-Newton methods for inverse problems. Lots of numerical illustrations, comparison tables, and exercises make the text useful in computational mathematics classes. At the same time, the book opens many directions for possible future research.

A Guide to Numerical Modelling in Systems Biology (Paperback, Softcover reprint of the original 1st ed. 2015): Peter Deuflhard,... A Guide to Numerical Modelling in Systems Biology (Paperback, Softcover reprint of the original 1st ed. 2015)
Peter Deuflhard, Susanna Röblitz
R1,957 Discovery Miles 19 570 Ships in 10 - 15 working days

This book is intended for students of computational systems biology with only a limited background in mathematics. Typical books on systems biology merely mention algorithmic approaches, but without offering a deeper understanding. On the other hand, mathematical books are typically unreadable for computational biologists. The authors of the present book have worked hard to fill this gap. The result is not a book on systems biology, but on computational methods in systems biology. This book originated from courses taught by the authors at Freie Universität Berlin. The guiding idea of the courses was to convey those mathematical insights that are indispensable for systems biology, teaching the necessary mathematical prerequisites by means of many illustrative examples and without any theorems. The three chapters cover the mathematical modelling of biochemical and physiological processes, numerical simulation of the dynamics of biological networks and identification of model parameters by means of comparisons with real data. Throughout the text, the strengths and weaknesses of numerical algorithms with respect to various systems biological issues are discussed. Web addresses for downloading the corresponding software are also included.

Newton Methods for Nonlinear Problems - Affine Invariance and Adaptive Algorithms (Paperback, 2004): Peter Deuflhard Newton Methods for Nonlinear Problems - Affine Invariance and Adaptive Algorithms (Paperback, 2004)
Peter Deuflhard
R2,231 Discovery Miles 22 310 Ships in 10 - 15 working days

This book deals with the efficient numerical solution of challenging nonlinear problems in science and engineering, both in finite dimension (algebraic systems) and in infinite dimension (ordinary and partial differential equations). Its focus is on local and global Newton methods for direct problems or Gauss-Newton methods for inverse problems. The term 'affine invariance' means that the presented algorithms and their convergence analysis are invariant under one out of four subclasses of affine transformations of the problem to be solved. Compared to traditional textbooks, the distinguishing affine invariance approach leads to shorter theorems and proofs and permits the construction of fully adaptive algorithms. Lots of numerical illustrations, comparison tables, and exercises make the text useful in computational mathematics classes. At the same time, the book opens many directions for possible future research.

Scientific Computing with Ordinary Differential Equations (Paperback, Softcover reprint of the original 1st ed. 2002): Peter... Scientific Computing with Ordinary Differential Equations (Paperback, Softcover reprint of the original 1st ed. 2002)
Peter Deuflhard; Translated by W.C. Rheinboldt; Folkmar Bornemann
R2,371 Discovery Miles 23 710 Ships in 10 - 15 working days

Well-known authors; Includes topics and results that have previously not been covered in a book; Uses many interesting examples from science and engineering; Contains numerous homework exercises; Scientific computing is a hot and topical area

Numerical Analysis in Modern Scientific Computing - An Introduction (Paperback, Softcover reprint of the original 2nd ed.... Numerical Analysis in Modern Scientific Computing - An Introduction (Paperback, Softcover reprint of the original 2nd ed. 2003)
Peter Deuflhard, Andreas Hohmann
R2,656 Discovery Miles 26 560 Ships in 10 - 15 working days

This book introduces the main topics of modern numerical analysis: sequence of linear equations, error analysis, least squares, nonlinear systems, symmetric eigenvalue problems, three-term recursions, interpolation and approximation, large systems and numerical integrations. The presentation draws on geometrical intuition wherever appropriate and is supported by a large number of illustrations, exercises, and examples.

Computational Molecular Dynamics: Challenges, Methods, Ideas - Proceeding of the 2nd International Symposium on Algorithms for... Computational Molecular Dynamics: Challenges, Methods, Ideas - Proceeding of the 2nd International Symposium on Algorithms for Macromolecular Modelling, Berlin, May 21-24, 1997 (Paperback, Softcover reprint of the original 1st ed. 1999)
Peter Deuflhard, Jan Hermans, Benedict Leimkuhler, Alane Mark, Sebastian Reich, …
R2,853 Discovery Miles 28 530 Ships in 10 - 15 working days

On May 21-24, 1997 the Second International Symposium on Algorithms for Macromolecular Modelling was held at the Konrad Zuse Zentrum in Berlin. The event brought together computational scientists in fields like biochemistry, biophysics, physical chemistry, or statistical physics and numerical analysts as well as computer scientists working on the advancement of algorithms, for a total of over 120 participants from 19 countries. In the course of the symposium, the speakers agreed to produce a representative volume that combines survey articles and original papers (all refereed) to give an impression of the present state of the art of Molecular Dynamics.The 29 articles of the book reflect the main topics of the Berlin meeting which were i) Conformational Dynamics, ii) Thermodynamic Modelling, iii) Advanced Time-Stepping Algorithms, iv) Quantum-Classical Simulations and Fast Force Field and v) Fast Force Field Evaluation.

Atlas der Weltbilder (German, Hardcover): Christoph Markschies, Ingeborg Reichle, Jochen Bruning, Peter Deuflhard Atlas der Weltbilder (German, Hardcover)
Christoph Markschies, Ingeborg Reichle, Jochen Bruning, Peter Deuflhard; Contributions by Steffen Siegel, …
R5,504 R4,159 Discovery Miles 41 590 Save R1,345 (24%) Ships in 10 - 15 working days

Praktiken visueller Welterzeugung in Form von Weltbildern lassen sich bereits in der Antike beobachten und haben sich bis heute als Mittel zur Konstruktion von Ordnungsvorstellungen bewahrt. Seit jeher steht der begrifflichen Ordnung der Welt eine modellhaft anschauliche Ordnung gegenuber. Die grundlegende Bedeutung, die Anschaulichkeit fur unser Verstandnis von der Welt spielt und die die vielfaltigsten Weltbilder hervorgebracht hat, ist jedoch mehr als eine blosse Wiederholung des Sehens. Die Bildwelten der Weltbilder geben uns nicht nur ein anschauliches Bild von der Welt und vom Kosmos. Sie sind zugleich wirkungsmachtige Instrumente zum praktischen und theoretischen Handeln in der Welt und formen auf unterschiedlichste Weise unsere Vorstellungen von der Welt und unsere Weltanschauung. Die grundlegenden Fragen, die dabei gestellt werden, haben sich durch die Jahrhunderte nicht wirklich geandert. Sie betreffen die den Menschen umfassende Ordnung und seine Stellung innerhalb dieser Ordnung: Welche Gestalt hat die Welt? Welche Krafte und Ideen wirken in ihr? Woraus besteht sie? Wie ist sie entstanden? Wie sieht ihre Zukunft aus? Bereits die fruhen Beispiele von Weltbildern machen deutlich, dass die sowohl in Bildern als auch in Erzahlungen zur Erscheinung gebrachte Wirklichkeit immer eine vom Menschen hervorgebrachte ist und daher stets interpretierte Wirklichkeit und symbolische Konstruktion bedeutet. Die gesammelten Beispiele reprasentieren zugleich unterschiedliche visuelle Medien, die im Dienst der Konstruktion der Welt als Bild stehen. Damit ist die Geschichte der Weltbilder nicht nur eine Geschichte wechselnder Weltvorstellungen, sondern zugleich auch eine Geschichte wechselnder Darstellungsmethoden und unterschiedlicher Tragermedien. Der Atlas der Weltbilder behandelt ein breites Spektrum von Artefakten und schreitet einen grossen zeitlichen Bogen ab, der mit altorientalischen und altagyptischen Weltkonzeptionen beginnt und mit aktuellen Simulationen der Astrophysik endet. Der Atlas der Weltbilder dokumentiert somit Aspekte der Kulturgeschichte visueller Welterzeugung in Form von Weltbildern aus den zuruckliegenden zweieinhalb Jahrtausenden. Paradigmatische Analysen der Prinzipien und Funktionen sowie der Geschichte und Bedeutung von Weltbildern geben erstmals umfassenden Aufschluss uber dieses umfangreiche Themengebiet."

Numerische Mathematik 3 - Adaptive Loesung Partieller Differentialgleichungen (German, Paperback, 2nd 2., Erweiterte Auflage... Numerische Mathematik 3 - Adaptive Loesung Partieller Differentialgleichungen (German, Paperback, 2nd 2., Erweiterte Auflage ed.)
Peter Deuflhard, Martin Weiser
R1,362 R1,100 Discovery Miles 11 000 Save R262 (19%) Ships in 10 - 15 working days
Numerische Mathematik 1 (German, Paperback, 5th Revised and Expanded ed.): Peter Deuflhard, Andreas Hohmann Numerische Mathematik 1 (German, Paperback, 5th Revised and Expanded ed.)
Peter Deuflhard, Andreas Hohmann
R1,009 R829 Discovery Miles 8 290 Save R180 (18%) Ships in 10 - 15 working days
Numerische Mathematik, [Band] 2, Gewoehnliche Differentialgleichungen (German, Paperback, 3rd REV. ed.): Peter Deuflhard,... Numerische Mathematik, [Band] 2, Gewoehnliche Differentialgleichungen (German, Paperback, 3rd REV. ed.)
Peter Deuflhard, Folkmar Bornemann
R1,230 R1,003 Discovery Miles 10 030 Save R227 (18%) Ships in 10 - 15 working days

This textbook deals with the numerical solution of initial and boundary value problems for ordinary differential equations. It takes the reader directly to the practically proven methods - from their theoretical foundation via their analysis to questions of implementation. The textbook contains a wealth of exercises together with numerous application examples. Sections of this third edition have been revised and it has been supplemented with MATLAB codes.

Räume - Bilder - Kulturen (Hardcover): Verena M. Lepper, Peter Deuflhard, Christoph Markschies Räume - Bilder - Kulturen (Hardcover)
Verena M. Lepper, Peter Deuflhard, Christoph Markschies
R2,192 R1,992 Discovery Miles 19 920 Save R200 (9%) Ships in 12 - 17 working days

Hat Europa die Zentralperspektive erfunden? Oder existieren nicht auch Alternativen, den optischen Sprung aus zwei in drei Dimensionen zu realisieren, aus dem Bild in den Raum? Diesen Fragen widmet sich das vorliegende Buch aus den Blickwinkeln von Kunstgeschichte, Bildwissenschaft, Mathematik, Informatik, Psychologie, Museumspädagogik und Philosophie. Historisch gesehen ist die mathematisch konstruierbare "Perspektive" ein Produkt der frühen italienischen Renaissance. Seit ihrer Erfindung wurden jedoch immer wieder Zweifel an ihrer ästhetischen Substanz laut, die sich in den nächsten Jahrhunderten insbesondere im ostasiatischen Raum ausbreiteten. Neben der europäischen Bilderwelt werden deshalb auch zahlreiche Beispiele aus der chinesischen, der japanischen und der melanesischen Kultur zum Vergleich dargestellt. Darüber hinaus unterlagen 'Bilder' auch einem epochalen Wandel: Heute verstehen wir darunter nicht nur analoge Medien, etwa Tafelmalereien oder Druckgraphiken, Diagramme, Karten oder Modelle, sondern auch Resultate digitaler Verfahren in Naturwissenschaft und Medizin.

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