Modelling and numerical simulations with differential equations in mathematical biology, medicine and the environment

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Publisher : Frontiers Media SA
ISBN 13 : 2832518257
Total Pages : 140 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis Modelling and numerical simulations with differential equations in mathematical biology, medicine and the environment by : Appanah Rao Appadu

Download or read book Modelling and numerical simulations with differential equations in mathematical biology, medicine and the environment written by Appanah Rao Appadu and published by Frontiers Media SA. This book was released on 2023-04-05 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Robust Numerical Methods for Singularly Perturbed Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 3540344675
Total Pages : 599 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Robust Numerical Methods for Singularly Perturbed Differential Equations by : Hans-Görg Roos

Download or read book Robust Numerical Methods for Singularly Perturbed Differential Equations written by Hans-Görg Roos and published by Springer Science & Business Media. This book was released on 2008-09-17 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition incorporates new developments in numerical methods for singularly perturbed differential equations, focusing on linear convection-diffusion equations and on nonlinear flow problems that appear in computational fluid dynamics.

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 1164 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 1164 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Analysis and Its Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 3540249370
Total Pages : 642 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Numerical Analysis and Its Applications by : Zhilin Li

Download or read book Numerical Analysis and Its Applications written by Zhilin Li and published by Springer Science & Business Media. This book was released on 2005-02-21 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of the Third International Conference on Numerical Analysis and Its Applications, NAA 2004, held in Rousse, Bulgaria in June/July 2004. The 68 revised full papers presented together with 8 invited papers were carefully selected during two rounds of reviewing and improvement. All current aspects of numerical analysis are addressed. Among the application fields covered are computational sciences and engineering, chemistry, physics, economics, simulation, fluid dynamics, visualization, etc.

Mesh Methods for Boundary-Value Problems and Applications

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Publisher : Springer Nature
ISBN 13 : 3030878090
Total Pages : 607 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Mesh Methods for Boundary-Value Problems and Applications by : Ildar B. Badriev

Download or read book Mesh Methods for Boundary-Value Problems and Applications written by Ildar B. Badriev and published by Springer Nature. This book was released on 2022-09-14 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers papers presented at the 13th International Conference on Mesh Methods for Boundary-Value Problems and Applications, which was held in Kazan, Russia, in October 2020. The papers address the following topics: the theory of mesh methods for boundary-value problems in mathematical physics; non-linear mathematical models in mechanics and physics; algorithms for solving variational inequalities; computing science; and educational systems. Given its scope, the book is chiefly intended for students in the fields of mathematical modeling science and engineering. However, it will also benefit scientists and graduate students interested in these fields.

SIAM Journal on Scientific Computing

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Publisher :
ISBN 13 :
Total Pages : 406 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis SIAM Journal on Scientific Computing by :

Download or read book SIAM Journal on Scientific Computing written by and published by . This book was released on 2001 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Analysis and Its Applications

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Publisher :
ISBN 13 :
Total Pages : 664 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Numerical Analysis and Its Applications by :

Download or read book Numerical Analysis and Its Applications written by and published by . This book was released on 2004 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fitted Numerical Methods For Singular Perturbation Problems: Error Estimates In The Maximum Norm For Linear Problems In One And Two Dimensions (Revised Edition)

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Publisher : World Scientific
ISBN 13 : 9814452777
Total Pages : 191 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Fitted Numerical Methods For Singular Perturbation Problems: Error Estimates In The Maximum Norm For Linear Problems In One And Two Dimensions (Revised Edition) by : John J H Miller

Download or read book Fitted Numerical Methods For Singular Perturbation Problems: Error Estimates In The Maximum Norm For Linear Problems In One And Two Dimensions (Revised Edition) written by John J H Miller and published by World Scientific. This book was released on 2012-02-29 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 errors in the numerical approximations are measured in the pointwise maximum norm. The fitted mesh algorithm is particularly simple to implement in practice, but the theory of why these numerical methods work is far from simple. This book can be used as an introductory text to the theory underpinning fitted mesh methods.

Fourteenth International Conference Zaragoza–Pau on Mathematics and its Applications

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Publisher : Prensas de la Universidad de Zaragoza
ISBN 13 : 8417358005
Total Pages : 242 pages
Book Rating : 4.4/5 (173 download)

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Book Synopsis Fourteenth International Conference Zaragoza–Pau on Mathematics and its Applications by : López de Silanes, M. C.

Download or read book Fourteenth International Conference Zaragoza–Pau on Mathematics and its Applications written by López de Silanes, M. C. and published by Prensas de la Universidad de Zaragoza. This book was released on 2018-02-20 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Conference Zaragoza-Pau on Mathematics and its Applications was organized by the Departamento de Matemática Aplicada, the Departamento de Métodos Estadísticos and the Departamento de Matemáticas, all of them from the Universidad de Zaragoza (Spain), and the Laboratoire de Mathématiques et de leurs Applications, from the Université de Pau et des Pays de l’Adour (France). This conference has been held every two years since 1989. The aim of this conference is to present recent advances in Applied Mathematics, Statistics and Pure Mathematics, putting special emphasis on subjects linked to petroleum engineering and environmental problems. The Fourteenth Conference took place in Jaca (Spain) from 12nd to 15th September 2016. During those four days, 99 mathematicians, coming from di erent universities, research institutes or the industrial sector, attended 14 plenary lectures, 62 contributed talks and a poster session with 4 posters. We note that in this edition there were 11 mini-symposia, two of them co-organized by colleagues from the Universidad de Zaragoza and the Université de Pau et des Pays de l’Adour.

Journal of Numerical Mathematics

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Publisher :
ISBN 13 :
Total Pages : 348 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Journal of Numerical Mathematics by :

Download or read book Journal of Numerical Mathematics written by and published by . This book was released on 2006 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Energy Research Abstracts

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Publisher :
ISBN 13 :
Total Pages : 946 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Energy Research Abstracts by :

Download or read book Energy Research Abstracts written by and published by . This book was released on 1990 with total page 946 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Robust Computational Techniques for Boundary Layers

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Publisher : CRC Press
ISBN 13 : 9781584881926
Total Pages : 298 pages
Book Rating : 4.8/5 (819 download)

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Book Synopsis Robust Computational Techniques for Boundary Layers by : Paul Farrell

Download or read book Robust Computational Techniques for Boundary Layers written by Paul Farrell and published by CRC Press. This book was released on 2000-03-30 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Current standard numerical methods are of little use in solving mathematical problems involving boundary layers. In Robust Computational Techniques for Boundary Layers, the authors construct numerical methods for solving problems involving differential equations that have non-smooth solutions with singularities related to boundary layers. They present a new numerical technique that provides precise results in the boundary layer regions for the problems discussed in the book. They show that this technique can be adapted in a natural way to a real flow problem, and that it can be used to construct benchmark solutions for comparison with solutions found using other numerical techniques. Focusing on robustness, simplicity, and wide applicability rather than on optimality, Robust Computational Techniques for Boundary Layers provides readers with an understanding of the underlying principles and the essential components needed for the construction of numerical methods for boundary layer problems. It explains the fundamental ideas through physical insight, model problems, and computational experiments and gives details of the linear solvers used in the computations so that readers can implement the methods and reproduce the numerical results.

Comprehensive Dissertation Index

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Publisher :
ISBN 13 :
Total Pages : 1016 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Comprehensive Dissertation Index by :

Download or read book Comprehensive Dissertation Index written by and published by . This book was released on 1989 with total page 1016 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Uniform Numerical Methods for Problems with Initial and Boundary Layers

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Publisher :
ISBN 13 :
Total Pages : 348 pages
Book Rating : 4.:/5 (41 download)

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Book Synopsis Uniform Numerical Methods for Problems with Initial and Boundary Layers by : E. P. Doolan

Download or read book Uniform Numerical Methods for Problems with Initial and Boundary Layers written by E. P. Doolan and published by . This book was released on 1980 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 1461242487
Total Pages : 487 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations by : Ivo Babuska

Download or read book Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations written by Ivo Babuska and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: With considerations such as complex-dimensional geometries and nonlinearity, the computational solution of partial differential systems has become so involved that it is important to automate decisions that have been normally left to the individual. This book covers such decisions: 1) mesh generation with links to the software generating the domain geometry, 2) solution accuracy and reliability with mesh selection linked to solution generation. This book is suited for mathematicians, computer scientists and engineers and is intended to encourage interdisciplinary interaction between the diverse groups.

Certified Reduced Basis Methods for Parametrized Partial Differential Equations

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Publisher : Springer
ISBN 13 : 3319224700
Total Pages : 139 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Certified Reduced Basis Methods for Parametrized Partial Differential Equations by : Jan S Hesthaven

Download or read book Certified Reduced Basis Methods for Parametrized Partial Differential Equations written by Jan S Hesthaven and published by Springer. This book was released on 2015-08-20 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a thorough introduction to the mathematical and algorithmic aspects of certified reduced basis methods for parametrized partial differential equations. Central aspects ranging from model construction, error estimation and computational efficiency to empirical interpolation methods are discussed in detail for coercive problems. More advanced aspects associated with time-dependent problems, non-compliant and non-coercive problems and applications with geometric variation are also discussed as examples.

Parabolic Equations in Biology

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Publisher : Springer
ISBN 13 : 331919500X
Total Pages : 204 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Parabolic Equations in Biology by : Benoît Perthame

Download or read book Parabolic Equations in Biology written by Benoît Perthame and published by Springer. This book was released on 2015-09-09 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents several fundamental questions in mathematical biology such as Turing instability, pattern formation, reaction-diffusion systems, invasion waves and Fokker-Planck equations. These are classical modeling tools for mathematical biology with applications to ecology and population dynamics, the neurosciences, enzymatic reactions, chemotaxis, invasion waves etc. The book presents these aspects from a mathematical perspective, with the aim of identifying those qualitative properties of the models that are relevant for biological applications. To do so, it uncovers the mechanisms at work behind Turing instability, pattern formation and invasion waves. This involves several mathematical tools, such as stability and instability analysis, blow-up in finite time, asymptotic methods and relative entropy properties. Given the content presented, the book is well suited as a textbook for master-level coursework.