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 Free Download New Difference Schemes for Partial Differential Equations by Allaberen Ashyralyev , Pavel E. Sobolevskii English | PDF | 2004 | 453 Pages | ISBN : 3764370548 | 48.7 MB The present monograph is devoted to the construction and investigation of the new high order of accuracy difference schemes of approximating the solutions of regular and singular perturbation boundary value problems for partial differential equations. The construction is based on the exact difference scheme and Taylor's decomposition on the two or three points. This approach permitted essentially to extend to a class of problems where the theory of difference methods is applicable. Namely, now it is possible to investigate the differential equations with variable coefficients and regular and singular perturbation boundary value problems. The investigation is based on new coercivity inequalities.
 Free Download Methods of Geometry in the Theory of Partial Differential Equations: Principle of the Cancellation of Singularities (414 Pages) by Takashi Suzuki English | 2024 | ISBN: 9811287899 | 414 pages | True PDF | 9.02 MB  Free Download Analytical Properties of Nonlinear Partial Differential Equations: with Applications to Shallow Water Models English | 2024 | ISBN: 303153073X | 327 Pages | PDF EPUB (True) | 25 MB Nonlinear partial differential equations (PDE) are at the core of mathematical modeling. In the past decades and recent years, multiple analytical methods to study various aspects of the mathematical structure of nonlinear PDEs have been developed. Those aspects include C- and S-integrability, Lagrangian and Hamiltonian formulations, equivalence transformations, local and nonlocal symmetries, conservation laws, and more. Modern computational approaches and symbolic software can be employed to systematically derive and use such properties, and where possible, construct exact and approximate solutions of nonlinear equations. This book contains a consistent overview of multiple properties of nonlinear PDEs, their relations, computation algorithms, and a uniformly presented set of examples of application of these methods to specific PDEs. Examples include both well known nonlinear PDEs and less famous systems that arise in the context of shallow water waves and far beyond. The book will beof interest to researchers and graduate students in applied mathematics, physics, and engineering, and can be used as a basis for research, study, reference, and applications.
 Free Download Digital Removable Partial Denture Technology: From Design Analysis to Practical Skills by Haiyang Yu English | EPUB (True) | 2023 | 254 Pages | ISBN : 9811979227 | 385.3 MB This book introduces esthetic clasp as an innovative method that improves the appearance of clasps by changing the clasp design. It details the concept of esthetic clasp, the classification of esthetic clasp design methods, the clinical pathway of esthetic clasp techniques, many selected cases, and the logos of different kinds of esthetic clasps. This book is suitable for all professional dentists, dental technicians and students.  Free Download Yu Ya Belov, "Inverse Problems for Partial Differential Equations (Inverse and Ill-Posed Problems) " English | ISBN: 9067643580 | 2002 | 219 pages | PDF | 4 MB This monograph is devoted to identification problems of coefficients in equations of mathematical physics. It invesitgates the existence and uniqueness of the solutions for identification coefficient problems in parabolic and hyperbolic equations and equation systems of composite type. The problems are studied with the Cauchy data and equations in which the Fourier transform with respect to the chosen variable is supposed to occur. Differential properties of the solutions for the original direct problems and their behavior under great values of time are studied on the basis of solution properties for direct problems. The identification problems with one or two unknown coefficients are also investigated. For initial boundary value conditions linear and nonlinear parabolic equations are studied.  Free Download Computational Partial Differential Equations: Numerical Methods and Diffpack Programming by Hans Petter Langtangen English | PDF | 1999 | 704 Pages | ISBN : N/A | 65 MB During the last decades there has been a tremendous advancement of com puter hardware, numerical algorithms, and scientific software. Engineers and scientists are now equipped with tools that make it possible to explore real world applications of high complexity by means of mathematical models and computer simulation. Experimentation based on numerical simulation has become fundamental in engineering and many of the traditional sciences. A common feature of mathematical models in physics, geology, astrophysics, mechanics, geophysics, as weH as in most engineering disciplines, is the ap pearance of systems of partial differential equations (PDEs). This text aims at equipping the reader with tools and skills for formulating solution methods for PDEs and producing associated running code. Successful problem solving by means of mathematical models inscience and engineering often demands a synthesis of knowledge from several fields. Besides the physical application itself, one must master the tools of math ematical modeling, numerical methods, as weH as software design and im plementation. In addition, physical experiments or field measurements might play an important role in the derivation and the validation of models. This book is written in the spirit of computational sciences as inter-disciplinary activities. Although it would be attractive to integrate subjects like mathe matics, physics, numerics, and software in book form, few readers would have the necessary broad background to approach such a text.  Free Download The Rest of the Gospel: When the Partial Gospel Has Worn You Out By Dan Stone, David Gregory 2014 | 258 Pages | ISBN: 0736956387 | EPUB | 2 MB "Do I have life 'more abundant'?" That's a question millions of Christians have asked down through the ages. Dan Stone asked that question during a time of spiritual frustration in his own life and God answered by showing Dan he had been living only a part of the gospel message. Dan's search led him to discover the truth of "Christ in you" as "the rest of the gospel" that most Christians overlook. Readers who are hungry for a deeper experience with God will resonate with Dan's discovery of "the rest of the gospel," which is indeed rest for everyone who is willing to finally let go and let God.  Free Download Barbara Kaltenbacher, "Inverse Problems for Fractional Partial Differential Equations " English | ISBN: 1470472457 | 2023 | 505 pages | PDF | 8 MB As the title of the book indicates, this is primarily a book on partial differential equations (PDEs) with two definite slants: toward inverse problems and to the inclusion of fractional derivatives. The standard paradigm, or direct problem, is to take a PDE, including all coefficients and initial/boundary conditions, and to determine the solution. The inverse problem reverses this approach asking what information about coefficients of the model can be obtained from partial information on the solution. Answering this question requires knowledge of the underlying physical model, including the exact dependence on material parameters. The last feature of the approach taken by the authors is the inclusion of fractional derivatives. This is driven by direct physical applications: a fractional derivative model often allows greater adherence to physical observations than the traditional integer order case. The book also has an extensive historical section and the material that can be called "fractional calculus" and ordinary differential equations with fractional derivatives. This part is accessible to advanced undergraduates with basic knowledge on real and complex analysis. At the other end of the spectrum, lie nonlinear fractional PDEs that require a standard graduate level course on PDEs.  Free Download An Excursion Through Partial Differential Equations English | 2024 | ISBN: 3031487834 | 422 Pages | PDF EPUB (True) | 35 MB Presenting a rich collection of exercises on partial differential equations, this textbook equips readers with 96 examples, 222 exercises, and 289 problems complete with detailed solutions or hints. It explores a broad spectrum of partial differential equations, fundamental to mathematically oriented scientific fields, from physics and engineering to differential geometry and variational calculus.
 Free Download Stochastic Partial Differential Equations with Additive Gaussian Noise: Analysis and Inference (205 Pages) by Ciprian A Tudor English | 2022 | ISBN: 9811264457 | 205 pages | True PDF EPUB | 45.82 MB |
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