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Regularization of Ill-Posed Problems by Iteration Methods
ISBN: 9780792361312 / Angielski / Twarda / 342 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Iteration regularization, i.e., utilization of iteration methods of any form for the stable approximate solution of ill-posed problems, is one of the most important but still insufficiently developed topics of the new theory of ill-posed problems. In this monograph, a general approach to the justification of iteration regulari zation algorithms is developed, which allows us to consider linear and nonlinear methods from unified positions. Regularization algorithms are the 'classical' iterative methods (steepest descent methods, conjugate direction methods, gradient projection methods, etc.)...
Iteration regularization, i.e., utilization of iteration methods of any form for the stable approximate solution of ill-posed problems, is one of the ...
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201,72 zł |
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Hans Lewy Selecta: Volume 1
ISBN: 9780817635237 / Angielski / Twarda / 358 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The work of Hans Lewy (1904-1988) has had a profound influence in the direc- tion of applied mathematics and partial differential equations, in particular, from the late 1920s. We are all familiar with two of the particulars. The Courant-Friedrichs- Lewy condition (1928), or CFL condition, was devised to obtain existence and ap- proximation results. This condition, relating the time and spatial discretizations for finite difference schemes, is now universally employed in the simulation of solutions of equations describing propagation phenomena. His example of a linear equation with no...
The work of Hans Lewy (1904-1988) has had a profound influence in the direc- tion of applied mathematics and partial differential equations, in partic...
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403,47 zł |
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Hans Lewy Selecta: Volume 2
ISBN: 9780817635244 / Angielski / Twarda / 446 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The work of Hans Lewy (1904--1988) has had a profound influence in the direction of applied mathematics and partial differential equations, in particular, from the late 1920s. Two of the particulars are well known. The Courant--Friedrichs--Lewy condition (1928), or CFL condition, was devised to obtain existence and approximation results. This condition, relating the time and spatial discretizations for finite difference schemes, is now universally employed in the simulation of solutions of equations describing propagation phenomena. Lewy's example of a linear equation with no solution (1957),...
The work of Hans Lewy (1904--1988) has had a profound influence in the direction of applied mathematics and partial differential equations, in particu...
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cena:
403,47 zł |
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Nonlinear Diffusion Equations and Their Equilibrium States, 3: Proceedings from a Conference Held August 20-29, 1989 in Gregynog, Wales
ISBN: 9780817635312 / Angielski / Twarda / 572 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Nonlinear diffusion equations have held a prominent place in the theory of partial differential equations, both for the challenging and deep math ematical questions posed by such equations and the important role they play in many areas of science and technology. Examples of current inter est are biological and chemical pattern formation, semiconductor design, environmental problems such as solute transport in groundwater flow, phase transitions and combustion theory. Central to the theory is the equation Ut = cp(U) + f(u). Here denotes the n-dimensional Laplacian, cp and f are given functions...
Nonlinear diffusion equations have held a prominent place in the theory of partial differential equations, both for the challenging and deep math emat...
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605,23 zł |
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Partial Differential Equations and Mathematical Physics: The Danish-Swedish Analysis Seminar, 1995
ISBN: 9780817639068 / Angielski / Twarda / 376 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. On March 17-19 and May 19-21,1995, analysis seminars were organized jointly at the universities of Copenhagen and Lund, under the heading "Danish-Swedish Analysis Seminar." The main topic was partial differen tial equations and related problems of mathematical physics. The lectures given are presented in this volume, some as short abstracts and some as quite complete expositions or survey papers. They span over a large vari ety of topics. The most frequently occurring theme is the use of microlocal analysis which is now important also in the study of non-linear differential equations although...
On March 17-19 and May 19-21,1995, analysis seminars were organized jointly at the universities of Copenhagen and Lund, under the heading "Danish-Swed...
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605,23 zł |
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Introduction to Partial Differential Equations with MATLAB
ISBN: 9780817639679 / Angielski / Twarda / 541 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Overview The subject of partial differential equations has an unchanging core of material but is constantly expanding and evolving. The core consists of solution methods, mainly separation of variables, for boundary value problems with constant coeffi- cients in geometrically simple domains. Too often an introductory course focuses exclusively on these core problems and techniques and leaves the student with the impression that there is no more to the subject. Questions of existence, uniqueness, and well-posedness are ignored. In particular there is a lack of connection between the analytical...
Overview The subject of partial differential equations has an unchanging core of material but is constantly expanding and evolving. The core consists ...
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302,60 zł |
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Generalized Characteristics of First Order Pdes: Applications in Optimal Control and Differential Games
ISBN: 9780817639846 / Angielski / Twarda / 310 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In some domains of mechanics, physics and control theory boundary value problems arise for nonlinear first order PDEs. A well-known classical result states a sufficiency condition for local existence and uniqueness of twice differentiable solution. This result is based on the method of characteristics (MC). Very often, and as a rule in control theory, the continuous nonsmooth (non-differentiable) functions have to be treated as a solutions to the PDE. At the points of smoothness such solutions satisfy the equation in classical sense. But if a function satisfies this condition only, with no...
In some domains of mechanics, physics and control theory boundary value problems arise for nonlinear first order PDEs. A well-known classical result s...
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403,47 zł |
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Semiconcave Functions, Hamilton-Jacobi Equations, and Optimal Control
ISBN: 9780817640842 / Angielski / Twarda / 304 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Semiconcavity is a natural generalization of concavity that retains most of the good properties known in convex analysis, but arises in a wider range of applications. This text is the first comprehensive exposition of the theory of semiconcave functions, and of the role they play in optimal control and Hamilton-Jacobi equations. The first part covers the general theory, encompassing all key results and illustrating them with significant examples. The latter part is devoted to applications concerning the Bolza problem in the calculus of variations and optimal exit time problems for... Semiconcavity is a natural generalization of concavity that retains most of the good properties known in convex analysis, but arises in a wider ran... |
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403,47 zł |
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Implicit Partial Differential Equations
ISBN: 9780817641214 / Angielski / Twarda / 273 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Nonlinear partial differential equations has become one of the main tools of mod ern mathematical analysis; in spite of seemingly contradictory terminology, the subject of nonlinear differential equations finds its origins in the theory of linear differential equations, and a large part of functional analysis derived its inspiration from the study of linear pdes. In recent years, several mathematicians have investigated nonlinear equations, particularly those of the second order, both linear and nonlinear and either in divergence or nondivergence form. Quasilinear and fully nonlinear...
Nonlinear partial differential equations has become one of the main tools of mod ern mathematical analysis; in spite of seemingly contradictory termin...
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201,72 zł |
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Energy Methods for Free Boundary Problems: Applications to Nonlinear Pdes and Fluid Mechanics
ISBN: 9780817641238 / Angielski / Twarda / 332 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. For the past several decades, the study of free boundary problems has been a very active subject of research occurring in a variety of applied sciences. What these problems have in common is their formulation in terms of suitably posed initial and boundary value problems for nonlinear partial differential equations. Such problems arise, for example, in the mathematical treatment of the processes of heat conduction, filtration through porous media, flows of non-Newtonian fluids, boundary layers, chemical reactions, semiconductors, and so on. The growing interest in these problems is reflected...
For the past several decades, the study of free boundary problems has been a very active subject of research occurring in a variety of applied science...
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605,23 zł |
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A Stability Technique for Evolution Partial Differential Equations: A Dynamical Systems Approach
ISBN: 9780817641467 / Angielski / Twarda / 377 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. common feature is that these evolution problems can be formulated as asymptoti cally small perturbations of certain dynamical systems with better-known behaviour. Now, it usually happens that the perturbation is small in a very weak sense, hence the difficulty (or impossibility) of applying more classical techniques. Though the method originated with the analysis of critical behaviour for evolu tion PDEs, in its abstract formulation it deals with a nonautonomous abstract differ ential equation (NDE) (1) Ut = A(u) ] C(u, t), t > 0, where u has values in a Banach space, like an LP space, A is...
common feature is that these evolution problems can be formulated as asymptoti cally small perturbations of certain dynamical systems with better-know...
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201,72 zł |
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Partial Differential Equations: Second Edition
ISBN: 9780817645519 / Angielski / Twarda / 389 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is a revised and extended version of my 1995 elementary introduction to partial di?erential equations. The material is essentially the same except for three new chapters. The ?rst (Chapter 8) is about non-linear equations of ?rst order and in particular Hamilton-Jacobi equations. It builds on the continuing idea that PDEs, although a branch of mathematical analysis, are closely related to models of physical phenomena. Such underlying physics in turn provides ideas of solvability. The Hopf variational approach to the Cauchy problem for Hamilton-Jacobi equations is one of the clearest and...
This is a revised and extended version of my 1995 elementary introduction to partial di?erential equations. The material is essentially the same excep...
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433,83 zł |
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Evolution Equations and Their Applications in Physical and Life Sciences: Proceedings of the Bad Herrenalb (Karlsruhe), Germany, Conference
ISBN: 9780824790103 / Angielski / Miękka / 511 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume presents a collection of lectures on linear partial differntial equations and semigroups, nonlinear equations, stochastic evolutionary processes, and evolution problems from physics, engineering and mathematical biology. The contributions come from the 6th International Conference on Evolution Equations and Their Applications in Physical and Life Sciences, held in Bad Herrenalb, Germany.
This volume presents a collection of lectures on linear partial differntial equations and semigroups, nonlinear equations, stochastic evolutionary pro...
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1585,28 zł |
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Differential Equations in Banach Spaces: Proceedings of the Bologna Conference
ISBN: 9780824790677 / Angielski / Miękka / 288 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This reference - based on the Conference on Differential Equations, held in Bologna - provides information on current research in parabolic and hyperbolic differential equations. Presenting methods and results in semigroup theory and their applications to evolution equations, this book focuses on topics including: abstract parabolic and hyperbolic linear differential equations; nonlinear abstract parabolic equations; holomorphic semigroups; and Volterra operator integral equations.;With contributions from international experts, Differential Equations in Banach Spaces is intended for research...
This reference - based on the Conference on Differential Equations, held in Bologna - provides information on current research in parabolic and hyperb...
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853,61 zł |
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Partial Differential Equations and Applications: Collected Papers in Honor of Carlo Pucci
ISBN: 9780824796983 / Angielski / Miękka / 392 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Written as a tribute to the mathematician Carlo Pucci on the occasion of his 70th birthday, this is a collection of authoritative contributions from over 45 internationally acclaimed experts in the field of partial differential equations. Papers discuss a variety of topics such as problems where a partial differential equation is coupled with unfavourable boundary or initial conditions, and boundary value problems for partial differential equations of elliptic type.
Written as a tribute to the mathematician Carlo Pucci on the occasion of his 70th birthday, this is a collection of authoritative contributions from o...
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cena:
878,00 zł |
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Mathematical Aspects of Numerical Solution of Hyperbolic Systems
ISBN: 9780849306082 / Angielski / Twarda / 554 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This important new book sets forth a comprehensive description of various mathematical aspects of problems originating in numerical solution of hyperbolic systems of partial differential equations. The authors present the material in the context of the important mechanical applications of such systems, including the Euler equations of gas dynamics, magnetohydrodynamics (MHD), shallow water, and solid dynamics equations. This treatment provides-for the first time in book form-a collection of recipes for applying higher-order non-oscillatory shock-capturing schemes to MHD modelling of physical...
This important new book sets forth a comprehensive description of various mathematical aspects of problems originating in numerical solution of hyperb...
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1073,11 zł |
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Numerical Solutions for Partial Differential Equations: Problem Solving Using Mathematica
ISBN: 9780849373794 / Angielski / Twarda / 347 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Partial differential equations (PDEs) play an important role in the natural sciences and technology, because they describe the way systems (natural and other) behave. This book contains the details necessary for the reader to understand the principles and applications of advanced numerical methods for solving PDEs.
Partial differential equations (PDEs) play an important role in the natural sciences and technology, because they describe the way systems (natural an...
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cena:
878,00 zł |
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Partial Differential Equations: Theory and Numerical Solution
ISBN: 9781584880226 / Angielski / Miękka / 360 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The proceedings of a satellite conference of the 1998 International Mathematical Congress. In it, leading specialists on partial differential equations, calculus of variations, and numerical analysis present results, applications, and advances in numerical methods in these fields. Conference organizers chose the contributors to bring together the scientists best able to present a complex view of problems, starting from the modelling, passing through the mathematical treatment, and ending with numerical realization. The applications discussed include fluid dynamics, semiconductor technology,...
The proceedings of a satellite conference of the 1998 International Mathematical Congress. In it, leading specialists on partial differential equation...
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cena:
878,00 zł |
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Sensitivity and Uncertainty Analysis, Volume II: Applications to Large-Scale Systems
ISBN: 9781584881162 / Angielski / Twarda / 368 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. As computer-assisted modeling and analysis of physical processes have continued to grow and diversify, sensitivity and uncertainty analyses have become indispensable scientific tools. Sensitivity and Uncertainty Analysis. Volume I: Theory focused on the mathematical underpinnings of two important methods for such analyses: the Adjoint Sensitivity Analysis Procedure and the Global Adjoint Sensitivity Analysis Procedure. This volume concentrates on the practical aspects of performing these analyses for large-scale systems. The applications addressed include two-phase flow problems, a radiative...
As computer-assisted modeling and analysis of physical processes have continued to grow and diversify, sensitivity and uncertainty analyses have becom...
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536,56 zł |
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Recent Developments in the Navier-Stokes Problem
ISBN: 9781584882206 / Angielski / Twarda / 408 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Despite their importance and the amount of research published on the t heory of the Navier-Stokes equations, some very elementary and fundame ntal questions remain unanswered. In this book, the author explores tw o main topics: the search for mild solutions using the tools of real h armonic analysis, and the 1982 regularity criterion of Caffanelli et a l., which has produced many results on the existence or non-existence of solutions. The book includes a self-contained introduction to real harmonic analysis, addresses both strong solutions by direct methods a nd weak solutions by indirect...
Despite their importance and the amount of research published on the t heory of the Navier-Stokes equations, some very elementary and fundame ntal que...
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cena:
926,78 zł |
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