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Philosophy, Ancient. --- Logos (Philosophy). --- Logos (Christian theology). --- Philo,
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Differential equations, Partial --- Numerical solutions --- Congresses.
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Many well-known models in the natural sciences and engineering, and today even in economics, depend on partial di?erential equations. Thus the e?cient numerical solution of such equations plays an ever-increasing role in state-- the-art technology. This demand and the computational power available from current computer hardware have together stimulated the rapid development of numerical methods for partial di?erential equations—a development that encompasses convergence analyses and implementational aspects of software packages. In 1988 we started work on the ?rst German edition of our book, which appeared in 1992. Our aim was to give students a textbook that contained the basic concepts and ideas behind most numerical methods for partial di?er- tial equations. The success of this ?rst edition and the second edition in 1994 encouraged us, ten years later, to write an almost completely new version, taking into account comments from colleagues and students and drawing on the enormous progress made in the numerical analysis of partial di?erential equations in recent times. The present English version slightly improves the third German edition of 2005: we have corrected some minor errors and added additional material and references.
Differential equations, Partial --- Finite differences. --- Finite element method. --- Numerical analysis. --- Numerical solutions. --- Mathematical analysis --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Numerical analysis --- Isogeometric analysis --- Differences, Finite --- Finite difference method --- Global analysis (Mathematics). --- Differential equations, partial. --- Analysis. --- Numerical Analysis. --- Partial Differential Equations. --- Partial differential equations --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Mathematical analysis. --- Analysis (Mathematics). --- Partial differential equations. --- 517.1 Mathematical analysis
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Differential equations, Partial --- Finite differences. --- Finite element method. --- Numerical analysis. --- Numerical solutions. --- Finite differences --- Finite element method --- Numerical analysis --- 517.95 --- 519.63 --- 681.3 *G18 --- Mathematical analysis --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Isogeometric analysis --- Differences, Finite --- Finite difference method --- 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) --- 519.63 Numerical methods for solution of partial differential equations --- Numerical methods for solution of partial differential equations --- 517.95 Partial differential equations --- Partial differential equations --- Numerical solutions --- Equations aux derivees partielles --- Methodes numeriques
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Partial differential equations --- Numerical analysis --- differentiaalvergelijkingen --- numerieke analyse
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