Spectral Theory, Microlocal Analysis, Singular Manifolds (Mathematical Topics S.)
by M. Demuth and etc.
The spectral theory of differential operators is a challenging subject with deep connections to many branches of mathematics and mathematical physics. It is a central issue in this volume. The first contribution addresses domain perturbations for generalized Schroedinger operators and the influence of the capacity on spectral data. There follows an article discussing the minimal smoothness assumptions on the domain under which the asymptotics of the counting function for the eigenvalues of ellip...
Partial Differential Equations for Scientists and Engineers (Dover Books on Mathematics)
by Stanley J Farlow
As a relatively new area in mathematics, stochastic partial differential equations (PDEs) are still at a tender age and have not yet received much attention in the mathematical community. Filling the void of an introductory text in the field, Stochastic Partial Differential Equations introduces PDEs to students familiar with basic probability theory and Ito's equations, highlighting several computational and analytical techniques. Without assuming specific knowledge of PDEs, the text includes m...
Materials with Memory (Lecture Notes in Mathematics, #1682)
by Hans-Dieter Alber
This book contributes to the mathematical theory of systems of differential equations consisting of the partial differential equations resulting from conservation of mass and momentum, and of constitutive equations with internal variables. The investigations are guided by the objective of proving existence and uniqueness, and are based on the idea of transforming the internal variables and the constitutive equations. A larger number of constitutive equations from the engineering sciences are pre...
Recent Topics in Nonlinear Pde. Lecture Notes in Numerical and Applied Anallysis, Volume 6.
This book presents the theory of hyperbolic conservation laws from basic theory to the forefront of research. The text treats the theory of scalar conservation laws in one dimension in detail, showing the stability of the Cauchy problem using front tracking. The extension to multidimensional scalar conservation laws is obtained using dimensional splitting. The book includes detailed discussion of the recent proof of well-posedness of the Cauchy problem for one-dimensional hyperbolic conservation...
Waves are essential phenomena in most scientific and engineering disciplines, such as electromagnetism and optics, and different mechanics including fluid, solid, structural, quantum, etc. They appear in linear and nonlinear systems. Some can be observed directly and others are not. The features of the waves are usually described by solutions to either linear or nonlinear partial differential equations, which are fundamental to the students and researchers.Generic equations, describing wave and...
Partial Differential Equations (Dover Books on Mathematics)
by Avner Friedman
Developed from the author's course at the Ecole Polytechnique, Monte-Carlo Methods and Stochastic Processes: From Linear to Non-Linear focuses on the simulation of stochastic processes in continuous time and their link with partial differential equations (PDEs). It covers linear and nonlinear problems in biology, finance, geophysics, mechanics, chemistry, and other application areas. The text also thoroughly develops the problem of numerical integration and computation of expectation by the Mont...
Juega con tu mente (Sudoku Killer, #33) (Sudoku Samurai, #96)
by Juega Con Tu Mente
Nonlinear Methods in Riemannian and Kahlerian Geometry
by Jurgen Jost
In this book, I present an expanded version of the contents of my lectures at a Seminar of the DMV (Deutsche Mathematiker Vereinigung) in Dusseldorf, June, 1986. The title "Nonlinear methods in complex geometry" already indicates a combination of techniques from nonlinear partial differential equations and geometric concepts. In older geometric investigations, usually the local aspects attracted more attention than the global ones as differential geometry in its foundations provides approximatio...
500 Multiplication Worksheets with 5-Digit Multiplicands, 2-Digit Multipliers (500 Days Math Multiplication, #9)
by Kapoo Stem
Partial Differential Equations (Texts in Applied Mathematics, #35) (The Wadsworth & Brooks/Cole Mathematics)
by J Kevorkian
This highly applied text is ideal where an informal approach to partial differential equations is desired (i.e. where theorem-proof approach is not necessary.) Most chapters start with physical examples. A unified treatment of linear problems is provided, plus a comprehensive discussion of nonlinear theory that includes the effect of shock waves. Perturbation method is given a thoroughly up-to-date treatment in Chapter Eight. Furthermore each chapter concludes with problems and references.
The book shows how the abstract methods of analytic semigroups and evolution equations in Banach spaces can be fruitfully applied to the study of parabolic problems. Particular attention is paid to optimal regularity results in linear equations. Furthermore, these results are used to study several other problems, especially fully nonlinear ones. Owing to the new unified approach chosen, known theorems are presented from a novel perspective and new results are derived. The book is self-contained....
Numerical Methods for Partial Differential Equations: Finite Difference and Finite Volume Methods focuses on two popular deterministic methods for solving partial differential equations (PDEs), namely finite difference and finite volume methods. The solution of PDEs can be very challenging, depending on the type of equation, the number of independent variables, the boundary, and initial conditions, and other factors. These two methods have been traditionally used to solve problems involving flui...
This handbook is volume III in a series devoted to stationary partial differential quations. Similarly as volumes I and II, it is a collection of self contained state-of-the-art surveys written by well known experts in the field. The topics covered by this handbook include singular and higher order equations, problems near critically, problems with anisotropic nonlinearities, dam problem, T-convergence and Schauder-type estimates. These surveys will be useful for both beginners and experts and...
I Don't Give A Shit Midnight Edition (Sweary Coloring Books, #2)
by Kaylin Sweary
MATLAB Functions for Partial Differential Equations
by James Braselton
Differential Equations with Discontinuous Righthand Sides (Mathematics and its Applications, #18)
by A.F. Filippov
Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tre...