Listing 1 - 10 of 24 | << page >> |
Sort by
|
Choose an application
Operator equations --- Numerical analysis. --- Mathematical analysis --- Numerical analysis --- Numerical solutions.
Choose an application
Turbulence --- Inverse problems (Differential equations) --- Mathematical models. --- Numerical solutions.
Choose an application
Équations, Systèmes d' --- Equations, Simultaneous --- Digital electronics --- Électronique numérique. --- Solutions numériques. --- Numerical solutions --- Digital electronics. --- Numerical solutions.
Choose an application
Elastic wave propagation --- Seismic waves --- Wave equation --- Mathematical models. --- Mathematical models. --- Numerical solutions.
Choose an application
Since 1984, Geophysical Data Analysis has filled the need for a short, concise reference on inverse theory for individuals who have an intermediate background in science and mathematics. The new edition maintains the accessible and succinct manner for which it is known, with the addition of: MATLAB examples and problem setsAdvanced color graphicsCoverage of new topics, including Adjoint Methods; Inversion by Steepest Descent, Monte Carlo and Simulated Annealing methods; and Bootstrap algorithm for determining empirical confidence intervalsOnline da
Differential equations --- Geophysics --- Inverse problems (Differential equations) --- Oceanography --- Measurement. --- Numerical solutions.
Choose an application
Dieses Lehrbuch, jetzt in seiner zweiten überarbeiteten und erweiterten Auflage vorliegend, liefert eine elementare und leicht verständliche Einführung in die grundlegenden numerischen Verfahren zur Lösung von Anfangs- und Randwertaufgaben für gewöhnliche Differentialgleichungen. Der Text wird durch Modellbeispiele und zahlreiche theoretische und numerische Übungsaufgaben mit Lösungshinweisen ergänzt. Ein kurzer Abschnitt liefert die notwendigen Grundlagen zur Theorie der gewöhnlichen Differentialgleichungen. Das Lehrbuch ist nicht nur für Studierende der Mathematik, sondern auch für Nebenfachstudierende, Studierende der Natur- und Ingenieurwissenschaften und für Anwender geeignet, die sowohl an der praktischen Umsetzung der Verfahren für die jeweiligen Problemstellungen als auch an den wesentlichen Eigenschaften wie Stabilität, Konsistenz und insbesondere Konvergenz mit zugehörigen Fehlerabschätzungen interessiert sind.
Choose an application
"The treatment of inverse theory in this book is divided into four parts. Chapters 1 and 2 provide a general background, explaining what inverse problems are and what constitutes their solution as well as reviewing some of the basic concepts from linear algebra and probability theory that will be applied throughout the text. Chapters 3-7 discuss the solution of the canonical inverse problem : the linear problem with Gaussian statistics. This is the best understood of all inverse problems; and it is here that the fundamental notions of uncertainty, uniqueness, and resolution can be most clearly developed. Chapters 8-11 extend the discussion to problems that are non-Gaussian, nonlinear and continuous. Chapters 12-13 provide examples of the use of inverse theory and a discussion of the steps that must be taken to solve inverse problems on a computer"-- Provided by publisher
Geophysics - Measurement. --- Geophysics -- Measurement. --- Inverse problems (Differential equations) - Numerical solutions. --- Inverse problems (Differential equations) -- Numerical solutions. --- Oceanography - Measurement. --- Oceanography -- Measurement. --- Geophysics --- Oceanography --- Inverse problems (Differential equations) --- Physics --- Physical Sciences & Mathematics --- Cosmic Physics --- Measurement --- Numerical solutions --- Measurement. --- Numerical solutions. --- Oceanography, Physical --- Oceanology --- Physical oceanography --- Thalassography --- Geological physics --- Terrestrial physics --- Earth sciences --- Marine sciences --- Ocean --- Numerical analysis --- Geophysics - Measurement --- Oceanography - Measurement --- Inverse problems (Differential equations) - Numerical solutions
Choose an application
This book deals with the general topic "Numerical solution of partial differential equations (PDEs)" with a focus on adaptivity of discretizations in space and time. By and large, introductory textbooks like "Numerical Analysis in Modern Scientific Computing" by Deuflhard and Hohmann should suffice as a prerequisite. The emphasis lies on elliptic and parabolic systems. Hyperbolic conservation laws are treated only on an elementary level excluding turbulence. Numerical Analysis is clearly understood as part of Scientific Computing. The focus is on the efficiency of algorithms, i.e. speed, reliability, and robustness, which directly leads to the concept of adaptivity in algorithms. The theoretical derivation and analysis is kept as elementary as possible. Nevertheless required somewhat more sophisticated mathematical theory is summarized in comprehensive form in an appendix. Complex relations are explained by numerous figures and illustrating examples. Non-trivial problems from regenerative energy, nanotechnology, surgery, and physiology are inserted. The text will appeal to graduate students and researchers on the job in mathematics, science, and technology. Conceptually, it has been written as a textbook including exercises and a software list, but at the same time it should be well-suited for self-study.
Differential equations, Elliptic --- Differential equations, Parabolic --- Numerical solutions --- Adaptive. --- Algorithm. --- Numerical Solution. --- Partial Differential Equation. --- Scientific Computing.
Choose an application
Since the first edition of this book, the literature on fitted mesh methods for singularly perturbed problems has expanded significantly. Over the intervening years, fitted meshes have been shown to be effective for an extensive set of singularly perturbed partial differential equations. In the revised version of this book, the reader will find an introduction to the basic theory associated with fitted numerical methods for singularly perturbed differential equations. Fitted mesh methods focus on the appropriate distribution of the mesh points for singularly perturbed problems. The global erro
Differential equations --- Perturbation (Mathematics) --- Perturbation equations --- Perturbation theory --- Approximation theory --- Dynamics --- Functional analysis --- Mathematical physics --- 517.91 Differential equations --- Numerical solutions. --- Perturbation (Mathematics).
Choose an application
This book aims at introducing students to the numerical approximation of Partial Differential Equations (PDEs). One of the difficulties of this subject is to identify the right trade-off between theoretical concepts and their use in practice. With that collection of examples and exercises we try to address this issue by illustrating "standard" examples which focus on basic concepts of Numerical Analysis, as well as problems derived from practical applications which the student is encouraged to formalize in terms of PDEs, analyze and solve. The latter examples are derived from the experience of the authors in research project developed in collaboration with scientists of different fields (biology, medicine, etc.) and industry. We wanted this book to be useful both to readers more interested in the theoretical aspects, and also to those more concerned with the numerical implementation. To this aim, solutions to the exercises have been subdivided in three parts. The first concerns the mathematical analysis of the problem, the second its numerical approximation and the third part is devoted to implementation aspects and the analysis of the results. The book consists of three parts. The first deals with basic material and results provided as useful reference for the other sections. In particular, we recall the basics of functional analysis and the finite element method. The second part deals with steady elliptic problems, solved with finite elements or finite differences, while in the third part we address time-dependent problems, including linear hyperbolic systems and Navier-Stokes equations. Two appendices discuss some practical implementation issues and three-dimensional applications. Each section contains a brief introduction to the subject to make this book self contained.
Differential equations, Partial -- Numerical solutions -- Problems, exercises, etc. --- Differential equations, Partial. --- Mathematics. --- Numerical analysis. --- Differential equations, Partial --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Numerical solutions --- Partial differential equations --- Functional analysis. --- Partial differential equations. --- Partial Differential Equations. --- Mathematics, general. --- Functional Analysis. --- Numerical Analysis. --- Differential equations, partial. --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Math --- Science --- Mathematical analysis --- Mathematical Concepts.
Listing 1 - 10 of 24 | << page >> |
Sort by
|