Books by Philippe G. Ciarlet
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Computational (Mathematical) Modeling is used by scientists and researchers with various applications in chemical, biological, behavioral, environmental sciences, etcetera. This guide presents essential research techniques for analysis and essential examples of computational mode...ls, supplying a wide range of commonly used methods and applications.
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Computational Modeling is an active field of scientific computing at the crossroads between Physics, Chemistry, Applied Mathematics and Computer Science. This guide provides a reference of computational methods for use in understanding chemical reactions and how to control them.
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Presents the basic theorems of differential geometry in three-dimensional space, including a coverage of surface theory. By means of a series of mathematical models, this monograph also explains how these theorems are used in three-dimensional elasticity and in shell theory.
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Presents a survey of the frontiers of research in the numerical modeling and mathematical analysis used in the study of the atmosphere and oceans. This book uses the approach of computational mathematicians, applied and numerical analysts and the tools appropriate for unsolved pr...oblems in the atmospheric and oceanic sciences.
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These volumes cover all the major aspects of numerical analysis. This particular volume discusses the solution of equations in Rn, Gaussian elimination, techniques of scientific computer, the analysis of multigrid methods, wavelet methods, and finite volume methods.
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Partial Differential Equations: Theory, Control and Approximation
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This self-contained textbook covers the fundamentals of two basic topics of linear functional analysis: locally convex spaces and harmonic analysis. Readers will find detailed introductions to topological vector spaces, distribution theory, weak topologies, Fourier transform, Hil...bert transform, and Calderon-Zygmund singular integrals.
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Covers the modeling and mathematical analysis of nonlinear three-dimensional elasticity. The volume contains proofs, detailed surveys of all mathematical prerequisites, and many problems for teaching and self-study.
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The objective of Theory of Shells is to show how asymptotic methods provide a rigorous mathematical justification of the classical two-dimensional linear shell theories: membrane, generalized membrane, and flexural. The book contains proofs, detailed surveys of all mathematical p...rerequisites, and many problems for teaching and self-study.
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This series covers all the major aspects of numerical analysis, serving as the basic reference work on the subject. Each volume concentrates on one to three particular topics. Each article is an in-depth survey, reflecting up-to-date trends in the field, and is essentially self-c...ontained.
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