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519.6 --- 681.3 *G18 --- 681.3 *G18 Partial differential equations: difference methods elliptic equations finite element methods hyperbolic equations method of lines parabolic equations (Numerical analysis) --- Partial differential equations: difference methods elliptic equations finite element methods hyperbolic equations method of lines parabolic equations (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Computational mathematics. Numerical analysis. Computer programming --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Numerical solutions of differential equations --- Partial differential equations
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Ordinary differential equations --- Numerical solutions of differential equations --- 519.6 --- 681.3 *G18 --- Computational mathematics. Numerical analysis. Computer programming --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Difference equations. --- Numerical analysis. --- Initial value problems. --- Mathematical physics. --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Numerical analysis --- Finite differences --- Analyse numérique --- Différences finies --- Analyse numérique. --- Différences finies. --- Équations aux dérivées partielles --- Problèmes aux valeurs initiales --- Differential equations, Partial --- Initial value problems --- Operators(Linear-)
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Numerical models of fluid dynamics have become increasingly preferable to more expensive physical experiments, but the ways in which data should be represented on the computer have been problematic. This book presents the findings of international experts in this field who address problems of computer modelling and equation solving. Contributors discuss the most effective algorithms to use and describe the efficiency to expect in solving large systems of equations. Their work will benefit academic and industrial researchers in applied mathematics, mathematical engineering, and computer science.
Calculs numériques --- Dynamique des fluides --- Fluid dynamics --- Numerical calculations --- Numerieke berekeningen --- Vloeistofdynamica --- Mathematics --- Congresses.
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Fluid dynamics --- Numerical calculations --- Mathematics --- -Numerical calculations --- -519.6 --- 532 --- Numerical analysis --- Dynamics --- Fluid mechanics --- -Congresses --- Congresses --- Computational mathematics. Numerical analysis. Computer programming --- Fluid mechanics in general. Mechanics of liquids (hydromechanics) --- Congresses. --- 532 Fluid mechanics in general. Mechanics of liquids (hydromechanics) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- 519.6 --- Mathematics&delete& --- Fluid dynamics - Mathematics - Congresses --- Numerical calculations - Congresses
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This is the second edition of a highly successful and well-respected textbook on the numerical techniques used to solve partial differential equations arising from mathematical models in science, engineering and other fields. The authors maintain an emphasis on finite difference methods for simple but representative examples of parabolic, hyperbolic and elliptic equations from the first edition. However this is augmented by new sections on finite volume methods, modified equation analysis, symplectic integration schemes, convection-diffusion problems, multigrid, and conjugate gradient methods; and several sections, including that on the energy method of analysis, have been extensively rewritten to reflect modern developments. Already an excellent choice for students and teachers in mathematics, engineering and computer science departments, the revised text brings the reader up-to-date with the latest theoretical and industrial developments.
519.63 --- 519.63 Numerical methods for solution of partial differential equations --- Numerical methods for solution of partial differential equations --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Differential equations, Partial --- 519.65 --- 681.3 *G18 --- 519.65 Approximation. Interpolation --- Approximation. Interpolation --- Numerical analysis --- Numerical solutions --- Numerical solutions. --- Differential equations, Partial - Numerical solutions
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What exactly is analysis? What are infinitely small or infinitely large quantities? What are indivisibles and infinitesimals? What are real numbers, continuity, the continuum, differentials, and integrals? You’ll find the answers to these and other questions in this unique book! It explains in detail the origins and evolution of this important branch of mathematics, which Euler dubbed the “analysis of the infinite.” A wealth of diagrams, tables, color images and figures serve to illustrate the fascinating history of analysis from Antiquity to the present. Further, the content is presented in connection with the historical and cultural events of the respective epochs, the lives of the scholars seeking knowledge, and insights into the subfields of analysis they created and shaped, as well as the applications in virtually every aspect of modern life that were made possible by analysis. From the reviews of the German edition: Three wishes granted at once: the book “3000 Jahre Analysis” is anything but a dry mixture of mathematical facts and formulae. Instead, it is a skillful blend of textbook, nonfiction, and history book rolled into one, which has been very vibrantly written. The author Thomas Sonar has managed to present the history of Analysis vividly, thrillingly, and full of intriguing details. Florian Modler, Spektrum der Wissenschaft The book [...] is simply wonderful. Everybody [...] picks up this book with a certain expectation, of course, and they won’t be disappointed! ... It is truly fun browsing the book. Peter Littelmann, Mitteilungen der DMV.
Mathematics. --- History. --- History of Mathematical Sciences. --- Annals --- Auxiliary sciences of history --- Math --- Science --- Mathematical analysis --- Mathematical analysis. --- 517.1 Mathematical analysis --- Mathematical analysis - History
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This is the 2005 second edition of a highly successful and well-respected textbook on the numerical techniques used to solve partial differential equations arising from mathematical models in science, engineering and other fields. The authors maintain an emphasis on finite difference methods for simple but representative examples of parabolic, hyperbolic and elliptic equations from the first edition. However this is augmented by new sections on finite volume methods, modified equation analysis, symplectic integration schemes, convection-diffusion problems, multigrid, and conjugate gradient methods; and several sections, including that on the energy method of analysis, have been extensively rewritten to reflect modern developments. Already an excellent choice for students and teachers in mathematics, engineering and computer science departments, the revised text includes more latest theoretical and industrial developments.
Differential equations, Partial --- Numerical analysis --- Numerical solutions.
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Difference equations --- Numerical analysis --- Mathematical physics --- Equations aux différences --- Analyse numérique --- Physique mathématique
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