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 Bland, D. R. (David Russell)
 London, Routledge and K. Paul [1960]
 Description
 Book — v, 95 p. diagrs., tables. 19 cm.
 Online

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QC235 .B54  Available 
 Berlin ; New York : Springer : Firenze : C.I.M.E. Foundation, 2011.
 Description
 Book — 1 online resource (290 pages).
 Kirkwood, James, author.
 Second edition.  London, United Kingdom : Academic Press, an imprint of Elsevier, 2018.
 Description
 Book — 1 online resource.
 Kirkwood, James R.
 Waltham, MA : Academic Press, c2013.
 Description
 Book — 1 online resource (xii, 418 p.) : ill. ; 24 cm.
 Summary

 Chapter 1 Prelimininaries
 Chapter 2 Vector Calculus
 Chapter 3 Green's Functions
 Chapter 4 Fourier Series
 Chapter 5 Three Important Equations
 Chapter 6 SturmLiouville Theory
 Chapter 7 Solving PDE's in Cartesian Coordinates by Separation of Variables
 Chapter 8 Solving PDE's in Cylindrical Coordinates by Separation of Variables
 Chapter 9 Solving PDE's in Spherical Coordinates w/ Sep. of Variables
 Chapter 10 The Fourier Transform
 Chapter 11 The Laplace Transform
 Chapter 12 Solving PDE's Using Green's Functions Appendix Bibliography.
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 Rubinstein, Isaak.
 Cambridge ; New York : Cambridge University Press, 1993.
 Description
 Book — 676 p.
 Summary

 Preface
 1. Introduction
 2. Typical equations of mathematical physics. Boundary conditions
 3. Cauchy problem for firstorder partial differential equations
 4. Classification of secondorder partial differential equations with linear principal part. Elements of the theory of characteristics
 5. Cauchy and mixed problems for the wave equation in R1. Method of travelling waves
 6. Cauchy and Goursat problems for a secondorder linear hyperbolic equation with two independent variables. Riemann's method
 7. Cauchy problem for a 2dimensional wave equation. The VolterraD'Adhemar solution
 8. Cauchy problem for the wave equation in R3. Methods of averaging and descent. Huygens's principle
 9. Basic properties of harmonic functions
 10. Green's functions
 11. Sequences of harmonic functions. Perron's theorem. Schwarz alternating method
 12. Outer boundaryvalue problems. Elements of potential theory
 13. Cauchy problem for heatconduction equation
 14. Maximum principle for parabolic equations
 15. Application of Green's formulas. Fundamental identity. Green's functions for Fourier equation
 16. Heat potentials
 17. Volterra integral equations and their application to solution of boundaryvalue problems in heatconduction theory
 18. Sequences of parabolic functions
 19. Fourier method for bounded regions
 20. Integral transform method in unbounded regions
 21. Asymptotic expansions. Asymptotic solution of boundaryvalue problems
 Appendix I. Elements of vector analysis
 Appendix II. Elements of theory of Bessel functions
 Appendix III. Fourier's method and SturmLiouville equations
 Appendix IV. Fourier integral
 Appendix V. Examples of solution of nontrivial engineering and physical problems References Index.
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QC20.7 .D5 R83 1993  Available 
 Prakticheskiĭ kurs po uravnenii͡am matematicheskoĭ fiziki. English
 Pikulin, V. P. (Viktor Pavlovich)
 Basel ; Boston : Birkhäuser Verlag, c2001.
 Description
 Book — viii, 206 p. : ill. ; 24 cm.
 Summary

Mathematical modeling and numerical simulation in fluid mechanics are topics of great importance both in theory and technical applications. The present book attempts to describe the current status in various areas of research. The 10 chapters, mostly survey articles, are written by internationally renowned specialists and offer a range of approaches to and views of the essential questions and problems. In particular, the theories of incompressible and compressible NavierStokes equations are considered, as well as stability theory and numerical methods in fluid mechanics. Although the book is primarily written for researchers in the field, it will also serve as a valuable source of information to graduate students.
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QC20.7 .D5 P55 2001  Available 
 San Diego : Academic Press, 1997.
 Description
 Book — xiv, 570 p. : ill.
 Summary

 FEMLike Multilevel Preconditioning: P. Oswald, Multilevel Solvers for Elliptic Problems on Domains. P. Vassilevski and J. Wang, WaveletLike Methods in the Design of Efficient Multilevel Preconditioners for Elliptic PDEs. Fast Wavelet Algorithms: Compression and Adaptivity: S. Bertoluzza, An Adaptive Collocation Method Based on Interpolating Wavelets. G. Beylkin and J. Keiser, An Adaptive PseudoWavelet Approach for Solving Nonlinear PartialDifferential Equations. P. Joly, Y. Maday, and V. Perrier, A Dynamical Adaptive Concept Based on Wavelet Packet Best Bases: Application to Convection Diffusion Partial Differential Equations. S. Dahlke, W. Dahmen, and R. DeVore, Nonlinear Approximation and Adaptive Techniques for Solving Elliptic Operator Equations. Wavelet Solvers for Integral Equations: T. von Petersdorff and C. Schwab, Fully Discrete Multiscale Galerkin BEM. A. Rieder, Wavelet Multilevel Solvers for Linear IllPosed Problems Stabilized by Tikhonov Regularization. Software Tools and Numerical Experiments: T. Barsch, A. Kunoth, and K. Urban, Towards Object Oriented Software Tools for Numerical Multiscale Methods for PDEs Using Wavelets. J. Ko, A. Kurdila, and P. Oswald, Scaling Function and Wavelet Preconditioners for Second Order Elliptic Problems. Multiscale Interaction and Applications to Turbulence: J. Elezgaray, G. Berkooz, H. Dankowicz, P. Holmes, and M. Myers, Local Models and Large Scale Statistics of the KuramotoSivashinsky Equation. M. Wickerhauser, M. Farge, and E. Goirand, Theoretical Dimension and the Complexity of Simulated Turbulence. Wavelet Analysis of Partial Differential Operators: JM. Angeletti, S. Mazet, and P. Tchamitchian, Analysis of SecondOrder Elliptic Operators Without Boundary Conditions and With VMO or Hilderian Coefficients. M. Holschneider, Some Directional Elliptic Regularity for Domains with Cusps. Subject Index.
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 Berdichevskiĭ, M. N. (Mark Naumovich)
 Tulsa, Okla. : Society of Exploration Geophysicists, 2002.
 Description
 Book — xiv, 215 p. : ill. ; 29 cm.
Earth Sciences Library (Branner)
Earth Sciences Library (Branner)  Status 

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QC801 .I65 NO.11  Unknown 
 New York : Nova Science Publishers, ©2011.
 Description
 Book — 1 online resource (x, 345 pages) : illustrations
 Summary

 Preface TimeSpectral Solution of InitialValue Problems A Stochastic AgentBased Approach to the FokkerPlanck Equation in Human Population Dynamics TrapLimited Diffusion of Hydrogen in Amorphous Silicon Thin Films The Role of the Method of Characteristics in the Solution of Estimation & Control Problems for Hyperbolic PDE Systems Soliton Solutions of one KdV Equation Boundary Control of Systems Described by Partial Differential Equations by InputOutput Linearization Robust No Parametric Identifier for a Class of Complex Partial Differential Equations The Generalized Weierstrass System Inducing Surfaces in Euclidean Three Space & Higher Dimensional Spaces Partial Differential Equations as a Tool for Evaluation of the Continuous Wavelet Transform The Blowup Mechanism in Nonlinear Partial Differential Equations: Scaling & Variation Index.
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10. Langevin and FokkerPlanck equations and their generalizations : descriptions and solutions [2018]
 Kwok, Sau Fa, author.
 Singapore ; Hackensack, NJ : World Scientific Publishing Co. Pte. Ltd., [2018]
 Description
 Book — 1 online resource.
 Summary

This invaluable book provides a broad introduction to a rapidly growing area of nonequilibrium statistical physics. The first part of the book complements the classical book on the Langevin and FokkerPlanck equations (H. Risken, The FokkerPlanck Equation: Methods of Solution and Applications (Springer, 1996)). Some topics and methods of solutions are presented and discussed in details which are not described in Risken's book, such as the method of similarity solution, the method of characteristics, transformation of diffusion processes into the Wiener process in different prescriptions, harmonic noise and relativistic Brownian motion. Connection between the Langevin equation and Tsallis distribution is also discussed. Due to the growing interest in the research on the generalized Langevin equations, several of them are presented. They are described with some details. Recent research on the integrodifferential FokkerPlanck equation derived from the continuous time random walk model shows that the topic has several aspects to be explored. This equation is worked analytically for the linear force and the generic waiting time probability distribution function. Moreover, generalized KleinKramers equations are also presented and discussed. They have the potential to be applied to natural systems, such as biological systems.
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 Fournais, Søren.
 New York : Springer, ©2010.
 Description
 Book — 1 online resource (xx, 324 pages) : illustrations.
 Summary

 Preface. Notation. Part I Linear Analysis. 1 Spectral Analysis of Schr..odinger Operators. 2 Diamagnetism. 3 Models in One Dimension. 4 Constant Field Models in Dimension
 2: Noncompact Case. 5 Constant Field Models in Dimension
 2: Discs and Their Complements. 6 Models in Dimension
 3: R3 or R3, +. 7 Introduction to Semiclassical Methods for the Schr..odinger Operator with a Large Electric Potential. 8 Large Field Asymptotics of the Magnetic Schr..odinger Operator: The Case of Dimension 2. 9 Main Results for Large Magnetic Fields in Dimension 3. Part II Nonlinear Analysis.10 The GinzburgLandau Functional. 11 Optimal Elliptic Estimates. 12 Decay Estimates. 13 On the Third Critical Field HC3. 14 Between HC2 and HC3 in Two Dimensions. 15 On the Problems with Corners. 16 On Other Models in Superconductivity and Open Problems. A MinMax Principle. B Essential Spectrum and Persson's Theorem. C Analytic Perturbation Theory. D About the CurlDiv System. E Regularity Theorems and Precise Estimates in Elliptic PDE. F Boundary Coordinates. References. Index.
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 Howison, Sam, author.
 Cambridge : Cambridge University Press, 2005.
 Description
 Book — 1 online resource (340 pages) : digital, PDF file(s).
 Summary

 Part I. Modelling Techniques:
 1. The basics of modelling
 2. Units, dimensions and dimensional analysis
 3. Nondimensionalisation
 4. Case studies: hair modelling and cable laying
 5. Case study: the thermistor (1)
 6. Case study: electrostatic painting (1) Part II. Mathematical Techniques:
 7. Partial differential equations
 8. Case study: traffic modelling
 9. Distributions
 10. Theory of distributions
 11. Case study: the pantograph Part III. Asymptotic techniques:
 12. Asymptotic expansions
 13. Regular perturbation expansions
 14. Case study: electrostatic painting (2)
 15. Case study: piano tuning
 16. Boundary layers
 17. Case study: the thermistor (2)
 18. 'Lubrication theory' analysis
 19. Case study: continuous casting of steel
 20. Lubrication theory for fluids
 21. Case study: eggs
 22. Methods for oscillators
 23. Ray theory and other 'exponential' approaches.
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 Christara, Christina C.
 [Toronto, Ont.] : University of Toronto, Dept. of Computer Science, 2000.
 Description
 Book — 33, 7 p. ; 28 cm.
 Online
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135130  Available 
 Guenther, Ronald B.
 Englewood Cliffs, N.J. : Prentice Hall, c1988.
 Description
 Book — xii, 544 p. : ill. ; 24 cm.
 Online

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QC20.7 .D5 G83 1988  Available 
15. Spectral theory and problems in diffraction [1968]
 New York, Consultants Bureau, 1968.
 Description
 Book — vii, 134 p. 28 cm.
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QC20 .P7513 V.2  Available 
 Pockels, F. (Friedrich), 18651913.
 Leipzig, B. G. Teubner, 1891.
 Description
 Book — xii, 339 p. diagrs. 23 cm.
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Engineering Library (Terman), SAL3 (offcampus storage)
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QC20 .P6  Inlibrary use 
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 Deng, Weihua, author.
 New Jersey : World Scientific, [2020]
 Description
 Book — 1 online resource
 Summary

 Stochastic models
 FokkerPlanck equations
 FeynmanKac equations
 Aging FokkerPlanck and FeynmanKac equations
 FokkerPlanck and FeynmanKac equations with multiple internal states
 Fractional reaction diffusion equations and corresponding FeynmanKac equations
 Renewal theory for fractional Poisson process : typical versus rare
 Governing equation for average first passage time and transitions among anomalous diffusions
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18. Inside finite elements [2016]
 Weiser, Martin, author.
 Berlin ; Boston : Walter de Gruyter GmbH, [2016]
 Description
 Book — xi, 146 pages : illustrations ; 25 cm.
 Summary

All relevant implementation aspects of finite element methods are discussed in this book. The focus is on algorithms and data structures as well as on their concrete implementation. Theory is covered as far as it gives insight into the construction of algorithms. Throughout the exercises complete FEsolver for scalar 2D problems will be implemented in Matlab/Octave.
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All relevant implementation aspects of finite element methods are discussed in this book. The focus is on algorithms and data structures as well as on their concrete implementation. Theory is covered only as far as it gives insight into the construction of algorithms. In the exercises, a complete FEsolver for stationary 2D problems is implemented in Matlab/Octave. Contents: Finite Element Fundamentals Grids and Finite Elements Assembly Solvers Error Estimation Mesh Refinement Multigrid Elastomechanics Fluid Mechanics Grid Data Structure Function Reference.
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Science Library (Li and Ma)
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QC20.7 .F56 W45 2016  Unknown 
19. Numerical methods for physics [2000]
 Garcia, Alejandro L., 1959
 2nd ed.  Upper Saddle River, N.J. : Prentice Hall, c2000.
 Description
 Book — vii, 423 p. : ill. ; 25 cm.
 Summary

 1. Preliminaries.
 2. Ordinary Differential Equations I: Basic Methods.
 3. Ordinary Differential Equations II: Advanced Methods.
 4. Solving Systems of Equations.
 5. Analysis of Data.
 6. Partial Differential Equations I: Foundations and Explicit Methods.
 7. Partial Differential Equations II: Advanced Explicit Methods.
 8. Partial Differential Equations III: Relaxation and Spectral Methods.
 9. Partial Differential Equations IV: Stability and Implicit Methods.
 10. Special Functions and Quadrature.
 11. Stochastic Methods.
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QC20 .G37 2000  Unknown 
20. Darboux transformations and solitons [1991]
 Matveev, V. B. (Vladimir B.), 1944
 Berlin ; New York : SpringerVerlag, c1991.
 Description
 Book — viii, 120 p. : ill. ; 25 cm.
 Summary

In 1882 Darboux proposed a systematic algebraic approach to the solution of the linear SturmLiouville problem. In this book, the authors develop Darboux's idea to solve linear and nonlinear partial differential equations arising in soliton theory: the nonstationary linear Schrodinger equation, Kortewegde Vries and KadomtsevPetviashvili equations, the Davey Stewartson system, SineGordon and nonlinear Schrodinger equations 1+1 and 2+1 Toda lattice equations, and many others. By using the Darboux transformation, the authors construct and examine the asymptotic behaviour of multisoliton solutions interacting with an arbitrary background. In particular, the approach is useful in systems where an analysis based on the inverse scattering transform is more difficult. The approach involves rather elementary tools of analysis and linear algebra so that it will be useful not only for experimentalists and specialists in soliton theory, but also for beginners with a grasp of these subjects.
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QC174.26 .W28 M37 1991  Available 
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