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Advances in graph theory

Discrete mathematics --- Graph theory. --- Combinatorial analysis. --- Graph theory --- Addresses, essays, lectures. --- 519.17 --- 681.3*G22 --- Combinatorics --- Algebra --- Mathematical analysis --- Graphs, Theory of --- Theory of graphs --- Combinatorial analysis --- Topology --- Extremal problems --- 681.3*G22 Graph theory: graph algorithms; network problems; path and tree problems; trees--See also {681.3*F22} --- Graph theory: graph algorithms; network problems; path and tree problems; trees--See also {681.3*F22} --- 519.17 Graph theory. Trees --- Graph theory. Trees --- Graph theory - Addresses, essays, lectures

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The objective of this book is to analyze within reasonable limits (it is not a treatise) the basic mathematical aspects of the finite element method. The book should also serve as an introduction to current research on this subject. On the one hand, it is also intended to be a working textbook for advanced courses in Numerical Analysis, as typically taught in graduate courses in American and French universities. For example, it is the author’s experience that a one-semester course (on a three-hour per week basis) can be taught from Chapters 1, 2 and 3 (with the exception of Section 3.3), while another one-semester course can be taught from Chapters 4 and 6. On the other hand, it is hoped that this book will prove to be useful for researchers interested in advanced aspects of the numerical analysis of the finite element method. In this respect, Section 3.3, Chapters 5, 7 and 8, and the sections on "Additional Bibliography and Comments" should provide many suggestions for conducting seminars.

Numerical solutions of differential equations --- Éléments finis, Méthode des --- Finite element method --- Differential equations, Elliptic --- Boundary value problems --- Finite element method. --- Numerical solutions. --- Équations différentielles elliptiques --- Problèmes aux limites --- Méthode des éléments finis --- Numerical solutions --- Solutions numériques --- ELSEVIER-B EPUB-LIV-FT --- 519.6 --- 681.3 *G18 --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Numerical analysis --- Isogeometric analysis --- 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 --- Éléments finis, Méthode des. --- Boundary value problems - Numerical solutions --- Differential equations, elliptic