24 x 17 cm. Approx. 450 pages. Hardcover.
ISBN 978-3-11-019870-6
Series: Inverse and III-Posed Problems Series
Languages: English
Type of Publication: Monograph
to be published June 2008
Solving inverse problems means the determination of shape or consistency of inaccessible objects from indirect measurements. Those problems arise in many applications, e.g., medical imaging and earth surface explorations. The mathematical modelling of some of those problems leads to inverse problems for boundary value problems for differential equations with incomplete given data. The present book provides an introduction to the numerical solution of the latter class of problems.
24 x 17 cm. Approx. 380 pages. Hardcover.
ISBN 978-3-11-020148-2
Series: de Gruyter Studies in Mathematics 34
Languages: English
Type of Publication: Monograph
to be published July 2008
This text offers a reliable and state-of-the-art introduction to the theory and method of Feynman-Kac formulas approached from three separate branches. These ideas are developed into a synthesis of applications in mathematical physics, principally in models of quantum field theory. Both beginners and experts are addressed, while putting an emphasis on the interdisciplinary character of the book.
An introduction to Feynman-Kac formulas
With applications to mathematical physics
May 2008. 24 x 17 cm. Approx. XVIII, 410 pages. Hardcover.
ISBN 978-3-11-020318-9
Series: de Gruyter Studies in Mathematics 33
Languages: English
Type of Publication: Monograph
The present book deals with the theory of computer arithmetic, its implementation on digital computers and applications in applied mathematics to compute highly accurate and mathematically verified results. The aim is to improve the accuracy of numerical computing (by implementing advanced computer arithmetic) and to control the quality of the computed results (validity). The book can be useful as high-level undergraduate textbook but also as reference work for scientists researching computer arithmetic and applied mathematics.
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May 2008. 24 x 17 cm. Approx. VIII, 196 pages. Hardcover.
ISBN 978-3-11-020420-9
Series: Radon Series on Computational and Applied Mathematics 6
Languages: English
Type of Publication: Monograph
Nonlinear inverse problems appear in many applications, and typically they lead to mathematical models that are ill-posed, i.e., they are unstable under data perturbations. Those problems require a regularization, i.e., a special numerical treatment. This book presents regularization schemes which are based on iteration methods, e.g., nonlinear Landweber iteration, level set methods, multilevel methods and Newton type methods.
24 x 17 cm. Approx. 560 pages. Hardcover.
ISBN 978-3-11-020437-7
Series: de Gruyter Expositions in Mathematics 44
Languages: English
Type of Publication: Monograph
to be published August 2008
This book is devoted to the mathematical studies of stochastic systems with quasi-stationary phenomena which have applications to population dynamics or epidemic models. In addition to its use for the research and reference purposes, the book can also be used in special courses on the subject and as a complementary reading in general courses on stochastic processes. In this respect, it may be useful for specialists as well as doctoral and advanced undergraduate students.