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 Chan, Tony F.
 Boston, MA : Springer US : Imprint : Springer, 2002.
 Description
 Book — 1 online resource (444 pages)
 Summary

 Preface. List of participants. Shift Theorems for the Biharmonic Dirichlet Problem C. Bacuta, et al. Numerical Methods for Schroedinger Equations Weizhu Bao, et al. Inverse Doping Problems for Semiconductor Devices M. Burger, et al. Superconductivity Analogies, Ferroelectricity and Flow Defects in Liquid Crystals M. Carme Calderer. Bayesian Inpainting Based on Geometric Image Models T.F. Chan, J. Shen. A Combination of Algebraic Multigrid Algorithms with the Conjugate Gradient Technique Qianshum Chang, Z. Huang. Basic Structures of Superconvergence in Finite Element Analysis Chuanmiao Chen. A Posteriori Error Estimates for Mixed Finite Elements of a Quadratic Control Problem Y. Chen, W. Liu. Superconvergence of LeastSquares Mixed Finite Element Approximations over Quadrilaterals Yanping Chen, Manping Zhang. A Posteriori Error Analysis and Adaptive Methods for Parabolic Problem Zhiming Chen. Numerical Computation of Quantized Vortices in the BoseEinstein Condensate Qiang Du. An Optimization Algorithm for the Meteorological Data Assimilation Problem E. Eggeling, S. Ta'asan. Analytic Aspects of YangMills Fields G. Tian. The Shape Optimization of Axisymmetric Structures Based on Fictitious Loads Variable S. Gong, et al. A New Kind of Preconditioner for Interface Equations of Mortar Multipliers on Subspaces Q. Hu. An Optimal Error Estimate for an hp Glouds Galerkin Method J. Hu, et al. Some Problems in Large Scale NonHermitian Matrix Computations Z. Jia. Global Propagation of Regular Nonlinear Hyperbolic Waves T. Li. Numerical Simulation of 3D Shallow Water Waves on Sloping Beach T. Li, P. Zhang. High Performance Finite Element Methods Q. Lin. Algebraic Multigrid Method OnLattice Block Materials S. Shu, et al. On the Existence of Symmetric Three Dimensional Solutions J. Su, B.L. Tran. A Combined Mixed Finite Element and Discontinuous Galerkin Method for Miscible Displacement Problem in Porous Media S. Sun, et al. Numerical Simulation and CoarseGraining of Large Particle Systems S. Ta'asan. Modeling and Simulations for Electrochemical Power Systems J. Wu, J. Xu. On the Error Estimates of the Fully Discrete Nonlinear Galerkin Method with Variable Modes to KuramotoSivashinsky Equation W. Yujiang, Y. Zhonghua. A Perturbed DensityDependent NavierStokes Equation Y. Xiao. A Cascadic Multigrid Method for Solving Obstacle Problems J.P. Zeng, et al. The Fundamental Equation of TwoDimensional Layer Flows of the Melt Feedstock in the Powder Injection Molding Process Z. Zheng, X. Qu. Index.
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 1st ed.  Amsterdam ; New York : Elsevier, 2001.
 Description
 Book — 1 online resource (xi, 466 p.) : ill.
 Summary

 From finite differences to finite elements. A short history of numerical analysis of partial differential equations (V. Thomee). Orthogonal spline collocation methods for partial differential equations (B. Bialecki, G. Fairweather). Spectral methods for hyperbolic problems (D. Gottlieb, J.S. Hesthaven). Wavelet methods for PDEs N some recent developments (W. Dahmen). Devising discontinuous Galerkin methods for nonlinear hyperbolic conservation laws (B. Cockburn). Adaptive Galerkin finite element methods for partial differential equations (R. Rannacher). The p and hp finite element method for problems on thin domains (M. Suri). Efficient preconditioning of the linearized NavierStokes equations for incompressible flow (D. Silvester, H. Elman, D. Kay, A. Wathen). A review of algebraic multigrid (K. Stuben). Geometric multigrid with applications to computational fluid dynamics (P. Wesseling, C.W. Oosterlee). The method of subspace corrections (J. Xu). Moving finite element, least squares, and finite volume approximations of steady and timedependent PDEs in multidimensions (M.J. Baines). Adaptive mesh movement  the MMPDE approach and its applications (W. Huang, R.D. Russell). The geometric integration of scaleinvariant ordinary and partial differential equations (C.J. Budd, M.D. Piggott). A summary of numerical methods for timedependent advectiondominated partial differential equations (R.E. Ewing, H. Wang). Approximate factorization for timedependent partial differential equations (P.J. van der Houwen, B.P. Sommeijer).
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 Borodzik, Maciej, author.
 Cham, Switzerland : Springer, 2019.
 Description
 Book — 1 online resource (xvi, 248 pages) : illustrations (some color).
 Summary

 Preliminaries
 Distributions, Sobolev spaces and Fourier transform
 Common methods
 Elliptic equations
 Evolution equations
 Bibliography.
 Le Dret, H. author.
 Cham : Springer, [2016]
 Description
 Book — xi, 395 pages : illustrations (some color) ; 24 cm.
 Summary

 Foreword. Mathematical modeling and PDEs. The finite difference method for elliptic problems. A review of analysis. The variational formulation of elliptic PDEs.Variational approximation methods for elliptic PDEs. The finite element method in dimension two. The heat equation. The finite difference method for the heat equation. The wave equation. The finite volume method. Index. References.
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QA297 .I5 V.168  Unknown 
5. Annals of PDE. [2015  ]
 [Cham, Switzerland] : Springer International Publishing AG, [2015]
 Description
 Journal/Periodical
 Summary

Provides articles of the highest scientific value concerning partial differential equations of broad, pure and applied interest. Facilitates a better awareness of progress made in various fields by researchers in all areas of PDE, highlighting the common core of ideas of the discipline.
6. International journal of partial differential equations [2013  2015]
 New York, NY : Hindawi Publishing Corporation
 Description
 Journal/Periodical — 1 online resource
 Different͡sialʹnye uravnenii͡a s chastnymi proizvodnymi 5. English.
 Berlin ; New York : Springer, c1999.
 Description
 Book — 247 p. : ill. ; 25 cm.
 Summary

 Equations with Rapidly Oscillating Solutions by M.V.Fedoryuk Asymptotic Development as t of the Solutions of Exterior Boundary Value Problems for Hyperbolic Equations by B.R.Vainberg The HigherDimensional WKB method or the Ray Method. Its Analogues and Generalizations by V.M.Babich Semiclassical Asymptotics of Eigenfunctions by V.F.Lazutkin The Boundary Layer by A.M.Il'in The Averaging Method for Partial Differential Equations and its Applications by N.S.Bakhvalov, G.P.Panasenko, and A.L.Shtaras.
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QA377 .D64513 1999  Available 
 Milan ; London : Springer, ©2013.
 Description
 Book — 1 online resource.
 Summary

 A Historical Perspective
 Personal Memories / Franco Brezzi
 Get Access
 Some Aspects of the Research of Enrico Magenes in Partial Differential Equations / Giuseppe Geymonat
 Enrico Magenes and the Dam Problem / Claudio Baiocchi
 Inverse Problems in Electrocardiology / Piero Colli Franzone
 Stefan Problems and Numerical Analysis / Claudio Verdi
 Enrico Magenes and the Teaching of Mathematics / Mario Ferrari
 List of Mathematical Works Authored or Edited by Enrico Magenes / Ugo Gianazza
 Recent Developments
 Heat Flow and Calculus on Metric Measure Spaces with Ricci Curvature Bounded BelowThe Compact Case / Luigi Ambrosio, Nicola Gigli, Giuseppe Savaré
 Spaces of Finite Element Differential Forms / Douglas N. Arnold
 A Priori Bounds for Solutions of a Nonlocal Evolution PDE / Luis Caffarelli, Enrico Valdinoci
 On the Numerical Analysis of Adaptive Spectral/hp Methods for Elliptic Problems / Claudio Canuto, Marco Verani
 A Theory and Challenges for Coarsening in Microstructure / Katayun Barmak, Eva Eggeling, Maria Emelianenko, Yekaterina Epshteyn
 A Generalized Empirical Interpolation Method: Application of Reduced Basis Techniques to Data Assimilation / Yvon Maday, Olga Mula
 Analysis and Numerics of Some Fractal Boundary Value Problems / Umberto Mosco
 AFEM for Geometric PDE: The LaplaceBeltrami Operator / Andrea Bonito, J. Manuel Cascón, Pedro Morin, Ricardo H. Nochetto
 Generalized Reduced Basis Methods and nWidth Estimates for the Approximation of the Solution Manifold of Parametric PDEs / Toni Lassila, Andrea Manzoni, Alfio Quarteroni, Gianluigi Rozza
 Variational Formulation of Phase Transitions with Glass Formation / Augusto Visintin.
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 C.I.M.E. Course on "VectorValued Partial Differential Equations and Applications" (2013 : Cetraro, Italy)
 Cham, Switzerland : Springer ; Firenze : Fondazione CIME, Roberto Conti, [2017]
 Description
 Book — vii, 248 pages : illustrations ; 24 cm.
 Summary

 Preface / John Ball, Paolo Marcellini
 The Pullback equation / Bernard Dacorogna
 The stability of the isoperimetric inequality / Nicola Fusco
 Mathematical problems in thin elastic sheets: scaling limits, packing, crumpling and singularities / Stefan Müller
 Aspects of PDEs related to fluid flows / Vladimír Šverák.
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Science Library (Li and Ma)
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Serials  
Shelved by Series title V.2179  Unknown 
 Providence, Rhode Island : American Mathematical Society, [2016]
 Description
 Book — ix, 404 pages : illustrations ; 26 cm.
 Summary

 * A. Sequeira, J.P. Dias, A. Valli, P. Secchi, L. Berselli, and F. Crispo, Tributes to Hugo Beirao da Veiga* H. A. Baba, C. Amrouche, and M. Escobedo, Analyticity of the semigroup generated by the Stokes operator with Naviertype boundary conditions on $L^p$spaces* P. Antonelli and P. Marcati, Some results on systems for quantum fluids* C. Bardos and T. T. Nguyen, Remarks on the inviscid limit for the compressible flows* V. Benci and L. L. Baglini, A generalization of Gauss' divergence theorem* L. C. Berselli and S. Spirito, Weak solutions to the NavierStokes equations constructed by semidiscretization are suitable* D. Breit, Existence theory for generalized Newtonian fluids* G. Buttazzo and B. Velichkov, The spectral drop problem* D. Chae, On the vanishing theorems for the discretely selfsimilar solutions to the Hall equations* F. Crispo and P. Maremonti, A high regularity result of solutions to a modified $p$NavierStokes system* R. Farwig, C. Simader, H. Sohr, and W. Varnhorn, General properties of the Helmholtz decomposition in spaces of $L^q$type* E. Feireisl and Y. Sun, Conditional regularity of very weak solutions to the NavierStokesFourier system* F. Flandoli, Possible effect of noise on stretching mechanism* G. P. Galdi and C. R. Grisanti, On the plane steadystate flow of a shearthinning liquid past an obstacle in the singular case* V. Georgiev and A. R. Giammetta, Sectorial Hamiltonians without zero resonance in one dimension* Z. Grujic, Vortex stretching and anisotropic diffusion in the 3D NavierStokes equations* P. Kaplicky, On $L^q$ estimates for planar flows up to boundary* B. Ducomet and S. Necasova, Non equilibrium diffusion limit in a barotropic radiative flow* R. Rautmann, Decomposition of the homogeneous space $\hat{W}^{1,2}$ with respect to the Dirichlet form $\langle \nabla u, \nabla v \rangle$ and applications* S. Rionero, Convection in ternary porous layers with depthdependent permeability and viscosity* F. Miranda and J. F. Rodrigues, On a variational inequality for incompressible nonNewtonian thick flows* E. Molitor and M. Ruzicka, On inhomogeneous $p$NavierStokes systems* Y. Shibata, On the global wellposedness of some free boundary problem for a compressible barotropic viscous fluid flow* V. A. Solonnikov, On a free boundary problem of magnetohydrodynamics for a viscous incompressible fluid not subjected to capillary forces* A. F. Vasseur, Relative entropy and contraction for extremal shocks of conservation laws up to a shift.
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QA371 .R34125 2016  Unknown 
11. Elements of partial differential equations [2014]
 Drábek, Pavel, 1953 author.
 Second, revised and extended edition.  Berlin [Germany] ; Boston [Massachusetts] : De Gruyter, 2014.
 Description
 Book — 1 online resource (291 pages) : illustrations
 Summary

 Frontmatter
 Preface
 Contents
 Chapter 1. Motivation, Derivation of Basic Mathematical Models
 Chapter 2. Classification, Types of Equations, Boundary and Initial Conditions
 Chapter 3. Linear Partial Differential Equations of the First Order
 Chapter 4. Wave Equation in One Spatial Variable  Cauchy Problem in R
 Chapter 5. Diffusion Equation in One Spatial Variable  Cauchy Problem in R
 Chapter 6. Laplace and Poisson Equations in Two Dimensions
 Chapter 7. Solutions of Initial Boundary Value Problems for Evolution Equations
 Chapter 8. Solutions of Boundary Value Problems for Stationary Equations
 Chapter 9. Methods of Integral Transforms
 Chapter 10. General Principles
 Chapter 11. Laplace and Poisson equations in Higher Dimensions
 Chapter 12. Diffusion Equation in Higher Dimensions
 Chapter 13. Wave Equation in Higher Dimensions
 Appendix A. SturmLiouville Problem
 Appendix B. Bessel Functions
 Some Typical Problems Considered in this Book
 Notation
 Bibliography
 Index.
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12. Séminaire équations aux dérivées partielles [1986  ]
 [Palaiseau, France?] : Ecole polytechnique, Centre de mathématiques, 1986
 Description
 Journal/Periodical — v. ; 30 cm
 Online
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QA374 .S4 2002/2003  Available 
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QA374 .S4 1986/1987  Available 
QA374 .S4 1985/1986  Available 
13. Equations aux dérivées partielles [1978  1985]
 [Palaiseau, France] : Le Centre, [1978?]1985.
 Description
 Journal/Periodical — 8 v. ; 30 cm.
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QA374 .S4 1984/1985  Available 
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QA374 .S4 1977/1978  Available 
14. Journées Équations aux dérivées partielles [1974  ]
 Journées Équations aux dérivées partielles (Online)
 [Grenoble, France] : Cellule MathDoc
 Description
 Journal/Periodical
 Salsa, S., author.
 3a edizione.  Milan : Springer, 2016.
 Description
 Book — 1 online resource. Digital: text file; PDF.
 Summary

 1 Introduzione
 2 Diffusione
 3 Equazione di Laplace
 4 Leggi di conservazione scalari ed equazioni del prim'ordine
 5 Onde e vibrazioni
 6 Elementi di analisi funzionale
 7 Distribuzioni e spazi di Sobolev
 8 Formulazione variazionale di problemi ellittici
 9 Formulazione debole per problemi di evoluzione. .
 Salsa, S., author.
 3a edizione  Milan : Springer, 2016.
 Description
 Book — 1 online resource Digital: text file; PDF.
 Summary

 1 Introduzione
 2 Diffusione
 3 Equazione di Laplace
 4 Leggi di conservazione scalari ed equazioni del prim'ordine
 5 Onde e vibrazioni
 6 Elementi di analisi funzionale
 7 Distribuzioni e spazi di Sobolev
 8 Formulazione variazionale di problemi ellittici
 9 Formulazione debole per problemi di evoluzione. .
 Salsa, S.
 2a ed.  Milan : SpringerVerlag, ©2010.
 Description
 Book — 1 online resource (1 volume). Digital: text file; PDF.
 Summary

 Introduzione
 Diffusione
 Equazioni di Laplace
 Leggi di conservazione scalari ed equazioni del prim'ordine
 Onde e vibrazioni
 Elementi di analisi funzionale
 Distribuzioni e spazi di Sobolev
 Formulazione variazionale di problemi ellittici
 Formulazione debole per problemi di evoluzione
 Appendici
 Bibliografia
 Indice analitico.
 Beijing, China : Higher Education Press Limited Company ; Singapore ; Hackensack, NJ : World Scientific Publishing Co. Pte. Ltd., [2019]
 Description
 Book — 1 online resource.
 Summary

 Intro; Contents; Preface; Control of Partial Differential Equations: Theoretical Aspects;
 1. Introduction;
 2. Introduction to Controllability; 2.1. Approximate Controllability; 2.2. Null Controllability; 2.3. Exact Controllability; 2.4. Exact Controllability to Trajectories;
 3. Simple Examples; 3.1. Transport Equation in 1D; 3.2. Wave Equation in 1D;
 4. Exact Controllability for the Wave Equation; 4.1. Exact Controllability for Boundary Control; 4.2. Case of Distributed Control;
 5. Controllability of Schrödinger Equation; 5.1. Schrödinger Equation; 5.2. Controllability Results
 6. Controllability of Linear Diffusion Convection Equations6.1. Statement of the Problem and Result; 6.2. An Auxiliary Optimal Control Problem; 6.3. Null Controllability Modulo Observability Inequality; 6.4. Global Carleman Inequality; 6.4.1. Weight Functions; 6.4.2. Proof of a Global Carleman Inequality; 6.4.3. Case of a General DiffusionConvection Operator; 6.5. Observability Inequality; 6.6. Another Strategy; Bibliography; Control of Partial Differential Equations: Numerical Aspects;
 1. Introduction;
 2. Controllability of FiniteDimensional Linear Systems; 2.1. Introduction
 2.2. FiniteDimensional Case, First Comments2.3. Examples; 2.4. Duality Techniques; 2.5. Observability Property; 2.6. Comments on the Control Map; 2.7. Kalman Rank Condition; 2.8. A Data Assimilation Problem;
 3. The Wave Equation; 3.1. The Continuous Setting; 3.1.1. Functional Setting; 3.1.2. Control and Observability Results; 3.2. The Discrete Wave Equation: The Naive Approach; 3.2.1. Setting; 3.2.2. Existence of the Discrete NullControls; 3.2.3. Numerical Experiments; 3.2.4. Lack of Uniform Observability; 3.2.5. Blow up of Discrete Controls; 3.3. Remedies
 3.3.1. A Fourier Filtering Technique3.3.2. Designing a Mesh Guaranteeing Uniform Observability Properties; 3.4. Further Comments; 3.4.1. Higher Dimensions; 3.4.2. The Effect of TimeDiscretization; 3.4.3. Rate of Convergence of the Discrete Controls;
 4. The Heat Equation; 4.1. The Continuous Case; 4.2. Difficulties of Computing Numerical Controls for the Heat Equation; 4.3. A Remedy; 4.4. Further Comments; Bibliography; Complex Geometrical Optics and Calderón's Problem;
 0. Introduction;
 1. The DirichlettoNeumann Map;
 2. Boundary Determination and Layer Stripping
 3. Complex Geometrical Optics Solutions4. Applications of Complex Geometrical Optics Solutions; 4.1. Uniqueness for Calderón's Problem; 4.2. Determining Cavities;
 5. Complex Geometrical Optics Solutions for First Order Perturbations of the Laplacian; 5.1. Intertwining Property (Part 1); 5.2. Intertwining Property (Part 2); 5.3. Intertwining Property (Part 3)
 Some Reductions; 5.4. Construction of Pseudoanalytic Matrices; Bibliography; A MiniCourse on Stochastic Control;
 1. Introduction;
 2. Some Preliminary Results from Probability Theory and Stochastic Analysis
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19. Partial differential equations arising from physics and geometry : a volume in memory of Abbas Bahri [2019]
 Cambridge : Cambridge University Press, 2019.
 Description
 Book — xvi, 453 pages : illustrations ; 23 cm.
 Summary

 Preface Mohamed Ben Ayed, Mohamed Ali Jendoubi, Yomna Rebai, Hassna Riahi and Hatem Zaag Abbas Bahri: a dedicated life Mohamed Ben Ayed
 1. Blowup rate for a semilinear wave equation with exponential nonlinearity in one space dimension Asma Azaiez, Nader Masmoudi and Hatem Zaag
 2. On the role of anisotropy in the weak stability of the NavierStokes system Hajer Bahouri, JeanYves Chemin and Isabelle Gallagher
 3. The motion law of fronts for scalar reactiondiffusion equations with multiple wells: the degenerate case Fabrice Bethuel and Didier Smets
 4. Finitetime blowup for some nonlinear complex GinzburgLandau equations Thierry Cazenave and Seifeddine Snoussi
 5. Asymptotic analysis for the LaneEmden problem in dimension two Francesca de Marchis, Isabella Ianni and Filomena Pacella
 6. A data assimilation algorithm: the paradigm of the 3D Leray model of turbulence Aseel Farhat, Evelyn Lunasin and Edriss S. Titi
 7. Critical points at infinity methods in CR geometry Najoua Gamara
 8. Some simple problems for the next generations Alain Haraux
 9. Clustering phenomena for linear perturbation of the Yamabe equation Angela Pistoia and Giusi Vaira
 10. Towards better mathematical models for physics Luc Tartar.
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 Online
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QA377 .P378 2019  Unknown 
20. Topics in partial differential equations [2019]
 Gupta, Parmanand, author.
 First edition.  Bengaluru : Firewall Media, an imprint of Laxmi Publications Pvt. Ltd., 2019.
 Description
 Book — 1 online resource
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