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 Chicago Workshop on Adaptive Mesh Refinement Methods (2003 : University of Chicago)
 Berlin ; New York : Springer, c2005.
 Description
 Book — xiv, 554 p. : ill.
 Summary

 Scientific Computing. Computational Science "Same Old Silence, Same Old Mistakes" "Something More Is Needed ... ". Massively Parallel Simulations with DOE?s ASCI Supercomputers: An Overview of the Los Alamos Crestone Project. Methods. Adaptive Mesh Refinement on Overlapping Grids. A Dynamically Adaptive Arbitrary LagrangianEulerian Method for Hydrodynamics. Front Tracking Algorithm Using Adaptively Refined Meshes. An accuracy study of mesh refinement on mapped grids. Efficiency Gains from Time Refinement on AMR Meshes and Explicit Timestepping. Using KrylovSchwarz methods in an adaptive mesh refinement environment. Dimensional Split DivergenceFree Reconstruction and Prolongation for Adaptive Mesh Refinement. Multiresolutionbased adaptive schemes for Hyperbolic Conservation Laws. Multiresolution adaptive space refinement in geophysical fluid dynamics simulation. Anisotropic mesh adaptivity in CFD. A Posteriori Error Estimation and Mesh Adaptivity for Finite Volume and Finite Element Methods. AMR for low Mach number reacting flow. Simulations of Relativistic Astrophysical Flows. AMR applied to nonlinear Elastodynamics. A Parallel AMR Implementation of The Discrete Ordinates Method for Radiation Transport. Radiation Transport in AMR. Software. HERA: A Hydrodynamic AMR Platform for MultiPhysics Simulations. Parallel Multidimensional and Multimaterial Eulerian Staggered Mesh Schemes using Localised Patched Based Adaptive Mesh Refinement (AMR) for Strong Shock Wave Phenomena.. A general adaptive multiresolution approach to ocean modelling: experiments in a primitive equation model of the north Atlantic. An Overview of the PARAMESH AMR Software Package and Some of Its Applications. AstroBEAR: AMR for Astrophysical Applications  I: Methods. Introducing Enzo, an AMR Cosmology Application. Toward Optimizing Enzo, an AMR Cosmology Application. Construction and Application of an AMR Algorithm for Distributed Memory Computers. Adaptive Mesh Refinement in a Grid Computing Environment. Performance of Vector/Parallel Orientated Hydrodynamic Code. On the efficiency of AMR in NIRVANA3. Dynamic Load Balancing of SAMR Applications. Applications. The Impact of AMR in Numerical Astrophysics and Cosmology. Recent Advances in the Collapse and Fragmentation of Turbulent Molecular Cloud Cores: The Formation of Low Mass Stars. 3D AMR Simulations of PointSymmetric Nebulae. Mesh Refinement Calculations of Gravitational Waves and Black Holes in 3Dimensions. AstroBEAR: AMR for Astrophysical Applications  II: Tests and Applications. Parallel, AMR MHD for Global Space Weather Simulations. Adaptive Mesh Refinement for MHD Fusion Applications. AMR for global atmospheric modelling. Simulation of VortexDominated Flows Using the FLASH Code.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Chicago Workshop on Adaptive Mesh Refinement Methods (2003 : University of Chicago)
 Berlin ; New York : Springer, ©2005.
 Description
 Book — 1 online resource (xiv, 554 pages) : illustrations Digital: text file.PDF.
 Summary

 Scientific Computing. Computational Science "Same Old Silence, Same Old Mistakes" "Something More Is Needed ... ". Massively Parallel Simulations with DOE?s ASCI Supercomputers: An Overview of the Los Alamos Crestone Project. Methods. Adaptive Mesh Refinement on Overlapping Grids. A Dynamically Adaptive Arbitrary LagrangianEulerian Method for Hydrodynamics. Front Tracking Algorithm Using Adaptively Refined Meshes. An accuracy study of mesh refinement on mapped grids. Efficiency Gains from Time Refinement on AMR Meshes and Explicit Timestepping. Using KrylovSchwarz methods in an adaptive mesh refinement environment. Dimensional Split DivergenceFree Reconstruction and Prolongation for Adaptive Mesh Refinement. Multiresolutionbased adaptive schemes for Hyperbolic Conservation Laws. Multiresolution adaptive space refinement in geophysical fluid dynamics simulation. Anisotropic mesh adaptivity in CFD. A Posteriori Error Estimation and Mesh Adaptivity for Finite Volume and Finite Element Methods. AMR for low Mach number reacting flow. Simulations of Relativistic Astrophysical Flows. AMR applied to nonlinear Elastodynamics. A Parallel AMR Implementation of The Discrete Ordinates Method for Radiation Transport. Radiation Transport in AMR. Software. HERA: A Hydrodynamic AMR Platform for MultiPhysics Simulations. Parallel Multidimensional and Multimaterial Eulerian Staggered Mesh Schemes using Localised Patched Based Adaptive Mesh Refinement (AMR) for Strong Shock Wave Phenomena.. A general adaptive multiresolution approach to ocean modelling: experiments in a primitive equation model of the north Atlantic. An Overview of the PARAMESH AMR Software Package and Some of Its Applications. AstroBEAR: AMR for Astrophysical Applications  I: Methods. Introducing Enzo, an AMR Cosmology Application. Toward Optimizing Enzo, an AMR Cosmology Application. Construction and Application of an AMR Algorithm for Distributed Memory Computers. Adaptive Mesh Refinement in a Grid Computing Environment. Performance of Vector/Parallel Orientated Hydrodynamic Code. On the efficiency of AMR in NIRVANA3. Dynamic Load Balancing of SAMR Applications. Applications. The Impact of AMR in Numerical Astrophysics and Cosmology. Recent Advances in the Collapse and Fragmentation of Turbulent Molecular Cloud Cores: The Formation of Low Mass Stars. 3D AMR Simulations of PointSymmetric Nebulae. Mesh Refinement Calculations of Gravitational Waves and Black Holes in 3Dimensions. AstroBEAR: AMR for Astrophysical Applications  II: Tests and Applications. Parallel, AMR MHD for Global Space Weather Simulations. Adaptive Mesh Refinement for MHD Fusion Applications. AMR for global atmospheric modelling. Simulation of VortexDominated Flows Using the FLASH Code.
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(source: Nielsen Book Data)
4. Adaptive method of lines [2001]
 Boca Raton : Chapman & Hall/CRC Press, 2001.
 Description
 Book — 411 p. : ill. ; 25 cm.
 Summary

 Introduction Application of the Adaptive Method of Lines to Nonlinear Wave Propagation Problems Adaptive MOL for MagnetoHydrodynamic PDE Models Development of a 1D ErrorMinimizing Moving Adaptive Grid Method An Adaptive Method of Lines Approach for Modelling Flow and Transport in Rivers An Adaptive Mesh Algorithm for Free Surface Flows in General Geometries, M. Sussman The Solution of Steady PDEs on Adjustable Meshes in Multidimensions Using Local Descent Methods Adaptive Linearly Implicit Methods for Heat and Mass Transfer Problems Linearly Implicit Adaptive Schemes for Singular ReactionDiffusion Equations Unstructured Mesh MOL Solvers for Reacting Flow Problems TwoDimensional Model of a Reaction Bonded Aluminum Oxide Cylinder Method of Lines within the Simulation Environment DIVA for Chemical Processes.
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QA377 .A294 2001  Available 
 Philadelphia : Society for Industrial and Applied Mathematics, c1989.
 Description
 Book — 265 p. : ill. ; 26 cm.
 Online
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QA377 .A295 1989  Available 
 GAMMSeminar (9th : 1993 : Kiel, Germany)
 Braunschweig : Vieweg, c1994.
 Description
 Book — vii, 272 p. : ill. ; 23 cm.
 Summary

This volume contains 18 papers presented at the Kiel Seminar in 1993. The Kiel Seminars are wellknown, and cover special areas in numerical methods for partial differential equations, numerical linear algebra, numerical methods for integral equations and related areas. The papers cover a broad range of topics, from mathematical theory to practical applications of adaptivity, special discretization schemes, error estimates, spacetime adaptivity, adaptive solvers, multigrid methods, wavelets and parallelization.
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QA377 .G23 1993  Available 
 Berlin ; New York : Springer, c2003.
 Description
 Book — xix, 658 p. : ill. ; 24 cm.
 Summary

 X. Cai, E. Acklam, H. P. Langtangen, A. Tveito: Parallel Computing. X. Cai: Overlapping Domain Decomposition Methods. K.A. Mardal, G. W. Zumbusch, H. P. Langtangen: Software Tools for Multigrid Methods. K.A. Mardal, H. P. Langtangen: Mixed Finite Elements. K.A. Mardal, J. Sundnes, H. P. Langtangen, A. Tveito: Systems of PDEs and Block Preconditioning. A... A degard, H. P. Langtangen, A. Tveito: ObjectOriented Implementation of Fully Implicit Methods for Systems of PDEs. H. P. Langtangen, H. Osnes: Stochastic Partial Differential Equations. H. P. Langtangen and K.A. Mardal: Using Diffpack from Python Scripts. X. Cai, A. M. Bruaset, H. P. Langtangen, G. T. Lines, K. Samuelsson, W. Shen, A. Tveito, G. Zumbusch: Performance Modeling of PDE Solvers. J. Sundnes, G.T. Lines, P. Grottum, A. Tveito: Numerical Methods and Software for Modeling the Electrical Activity in the Human Heart. O. Skavhaug, B. F. Nielsen, A. Tveito: Mathematical Models of Financial Derivatives. O. Skavhaug, B. F. Nielsen, A. Tveito: Numerical Methods for Financial Derivatives. T. Thorvaldsen, H. P. Langtangen, H. Osnes: Finite Element Modeling of Elastic Structures. K. M. Okstad, T. Kvamsdal: Simulation of Aluminum Extrusion. A. Kjeldstad, H. P. Langtangen, J. Skogseid, K. Bjorlykke: Simulation of Deformations, Fluid Flow and HeatTransfer in Sedimentary Basins.
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QA377 .A45 2003  Available 
 Applied Mechanics, Bioengineering, and Fluids Engineering Conference (1983 : Houston, Tex.)
 New York, N.Y. (345 E. 47th St., New York 10017) : American Society of Mechanical Engineers, c1983.
 Description
 Book — viii, 219 p. : ill. ; 28 cm.
 Online
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QA377 .A67 1983  Available 
 Providence, Rhode Island : American Mathematical Society, [2023]
 Description
 Book — 1 online resource (pages cm)
 Summary

 Discretization and convergence of the EIT optimal control problem in Sobolev spaces with dominating mixed smoothness / Ugur G. Abdulla and Saleheh Seif
 https://www.ams.org/conm/784/ https://doi.org/10.1090/conm/784/15750 Global reconstruction of initial conditions of nonlinear parabolic equations via the Carlemancontraction method / Thuy T. Le
 https://www.ams.org/conm/784/ https://doi.org/10.1090/conm/784/15751 Regularization of the factorization method with applications to inverse scattering / Isaac Harris
 https://www.ams.org/conm/784/ https://doi.org/10.1090/conm/784/15752 Sampling type method combined with deep learning for inverse scattering with one incident wave / Thu Le, DinhLiem Nguyen, Vu Nguyen and Trung Truong
 https://www.ams.org/conm/784/ https://doi.org/10.1090/conm/784/15753 Fast numerical solutions to direct and inverse scattering for bianisotropic periodic Maxwell's equations / DinhLiem Nguyen and Trung Truong
 https://www.ams.org/conm/784/ https://doi.org/10.1090/conm/784/15754 Reconstructing a spacedependent source term via the quasireversibility method / Loc H. Nguyen and Huong T.T. Vu
 https://www.ams.org/conm/784/ https://doi.org/10.1090/conm/784/15755 Convergence analysis of Nédélec finite element approximations for a stationary Maxwell's system / Quyen Tran
 https://www.ams.org/conm/784/ https://doi.org/10.1090/conm/784/15756 Quasireversibility method and neural network machine learning for forecasting of stock option prices / Mikhail V. Klibanov, Kirill V. Golubnichiy and Andrey V. Nikitin
 https://www.ams.org/conm/784/ https://doi.org/10.1090/conm/784/15757 Numerical reconstruction for 3D nonlinear SAR imaging via a version of the convexification method / Vo Anh Khoa, Michael Victor Klibanov, William Grayson Powell and Loc Hoang Nguyen
 https://www.ams.org/conm/784/ https://doi.org/10.1090/conm/784/15758 Initial state reconstruction on graphs / Vo Anh Khoa, Mai Thanh Nhat Truong, Imhotep Hogan and Roselyn Williams
 https://www.ams.org/conm/784/ https://doi.org/10.1090/conm/784/15759 Active control of scalar Helmholtz fields in the presence of known impenetrable obstacles / Lander Besabe and Daniel Onofrei
 https://www.ams.org/conm/784/ https://doi.org/10.1090/conm/784/15760
 Cham : Springer, 2023.
 Description
 Book — 1 online resource (x, 234 pages) : illustrations (some color).
 Summary

 Chapter 1. Alessandro Alla, Peter M. Dower, Vincent Liu. A Tree Structure Approach to Reachability Analysis
 Chapter 2. Giulia Bertaglia. Asymptoticpreserving neural networks for hyperbolic systems with diffusive scaling
 Chapter 3. Felisia Angela Chiarello, Paola Goatin. A nonlocal system modeling bidirectional traffic flows
 Chapter 4. Armando Coco, Santina Chiara Stissi. Semiimplicit finitedifference methods for compressible gas dynamics with curved boundaries: a ghostpoint approach
 Chapter 5. Elena Gaburro, Simone Chiocchetti. Highorder arbitraryLagrangianEulerian schemes on crazy moving Voronoi meshes
 Chapter 6. Elisa Iacomini. Overview on uncertainty quantification in traffic models via intrusive method
 Chapter 7. Liu Liu. A study of multiscale kinetic models with uncertainties
 Chapter 8. Fiammetta Conforto, Giorgio Martalò. On the shock wave discontinuities in Grad hierarchy for a binary mixture of inert gases
 Chapter 9. Giuseppe Visconti, Silvia Tozza, Matteo Semplice, Gabriella Puppo. A conservative a[1]posteriori timelimiting procedure in Quinpi schemes
 Chapter 10. Yuhua Zhu. Applications of Fokker Planck equations in machine learning algorithms.
 MexicoUnited States Workshop on Advances in Numerical Partial Differential Equations and Optimization (5th : 1989 : Mérida, Mexico)
 Philadelphia : Society for Industrial and Applied Mathematics, c1991.
 Description
 Book — xii, 365 p : ill. ; 26 cm.
 Summary

 An efficient line search for convex piecewiselinear/quadratic functions, Ron S.Dembo and Robin Anderson
 stopping tests that compute optimal solutions for interiorpoint linear programming algorithms, D.Gay
 iterative gradientNewton type methods for steady shock computations, B. Engquist and Q.Q.Huynh
 applications of adaptavie gridrefinement methods, R.E.Ewing, et al
 approximate inverse preconditionings for nonsymmetric sparse systems, J.D.F.Cosgrove, et al
 on generalized finite difference methods for approximating solutions to integral equations, G.D. Allen and P.Nelson, Jr.
 fast elliptic solvers using mixedhybrid nodal finite elements, J.P.Hennart and E.del Valle
 computing eigenvalues of large matrices, some lanczos algorithms and a shift and invert strategy, J.K.Cullum and Ralph A.Willoughby
 large scale extended linearquadratic programming and multistage optimization, R.T.Rockafessar
 a numerical method for the three dimensional inverse acoustic scattering problem with incomplete data, F.AluffiPentini, et al
 relation between the regularization and the multipliers method for the minmax problem, C. Gigola and S.Gomez.
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(source: Nielsen Book Data)
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QA377 .M49 1989  Available 
 Hackensack, NJ : World Scientific, ©2005.
 Description
 Book — 1 online resource (xiii, 650 pages) : illustrations Digital: data file.
 Summary

 * Applications of Mickens Discretizations to Boundary Value Problems of Bratu, Gelfand and Others (R Buckmire) * Nonstandard Finite Difference Time Domain Algorithms for Computational Electromagnetics: Applications to Current Topics in Optics and Photonics (J B Cole) * Reliable Finite Difference Schemes with Applications in Mathematical Ecology (D T Dimitrov et al.) * Application of the Nonstandard Finite Difference Method in NonSmooth Mechanics (Y Dumont) * Finite Difference Schemes on Unbounded Domains (M Ehrhardt) * DynamicallyConsistent Nonstandard Finite Difference Methods for Epidemic Models (A Gumel & K C Patidar) * Nonstandard Finite Difference Methods and Biological Models (S RJ Jang) * Contribution to the Theory of Nonstandard Finite Difference Methods and Applications to Singular Perturbation Problems (J MS Lubuma & K C Patidar) * Nonstandard Discretization Methods on LotkaVolterra Differential Equations (LI W Roeger).
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
13. Advances in the applications of nonstandard finite diffference schemes [electronic resource] [2005]
 Singapore ; Hackensack, N.J. : World Scientific, c2005.
 Description
 Book — xiii, 650 p. : ill.
 Summary

 Nonstandard finite difference methods / R.E. Mickens
 Application of nonstandard finite difference schemes to the simulation studies of robotic systems / R.F. Abo. Shanab, N. Sepehri and C. Q. Wu
 Applications of Mickens finite differences to several related boundary value problems / R. Buckmire
 High accuracy nonstandard finitedifference timedomain algorithms for computational electromagnetics: applications to optics and photonics / J.B. Cole
 Nonstandard finite difference schemes for solving nonlinear micro heat transport equations in double layered metal thin films exposed to ultrashort pulsed lasers / W. Dai
 Reliable finite difference schemes with applications in mathematical ecology / D.T. Dimitrow, H.V. Kojouharov and B.M. ChenCharpentier
 Applications of the nonstandard finite difference method in nonsmooth mechanics / Y. Dumont
 Finite difference schemes on unbounded domains / M. Ehrhardt
 Asymptotically consistent nonstandard finitedifference methods for solving mathematical models arising in population biology / A.B. Gumel, K.C. Patidar and R.J. Spiteri
 Nonstandard finite difference methods and biological models / S.R.J. Jang
 Robust discretizations versus increase of the time step for chaotic systems / C. Letellier and E.M.A.M. Mendes
 Contributions to the theory of nonstandard finite difference methods and applications to singular perturbation problems / J.M.S. Luburna and K.C. Patidar
 Frequency accurate finite difference methods / A.L. Perkins, P.A. Orlin and F. Zand
 Nonstandard discretization methods on LotkaVolterra differential equations / L.I.W. Roeger.
 Xu, Xiaoping (Mathematician)
 Berlin ; New York : Springer, ©2013.
 Description
 Book — 1 online resource (xxiv, 394 pages) Digital: text file.PDF.
 Summary

 Ordinary Differential Equations. FirstOrder Ordinary Differential Equations
 Higher Order Ordinary Differential Equations
 Special Functions
 Partial Differential Equations. FirstOrder or Linear Equations
 Nonlinear Scalar Equations
 Nonlinear Schrödinger and DaveyStewartson Equations
 Dynamic Convection in a Sea
 Boussinesq Equations in Geophysics
 NavierStokes Equations
 Classical Boundary Layer Problems.
 Milan ; London : Springer, ©2013.
 Description
 Book — 1 online resource Digital: text file.PDF.
 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.
(source: Nielsen Book Data)
 Pregla, Reinhold.
 Chichester, West Sussex, England ; Hoboken, NJ : Wiley ; Baldock, Hertfordshire : Research Studies Press, c2008.
 Description
 Book — xi, 507 p. : ill. ; 25 cm.
 Summary

The Method of Lines (MOL) is a versatile approach to obtaining numerical solutions to partial differential equations (PDEs) as they appear in dynamic and static problems. This method, popular in science and engineering, essentially reduces PDEs to a set of ordinary differential equations that can be integrated using standard numerical integration methods. Its significant advantage is that the analysis algorithms follow the physical wave propagation and are therefore efficient. This is because the fields on the discretisation lines are described by generalised transmission line (GTL) equations. With this formulation we have a connection to the well known transmission line theory and resulting in an easy understanding. The method of lines is a very accurate and powerful way to analyze electromagnetic waves, enabling a fullwave solution without the computational burden of pure finite element or finite difference methods.With "Analysis of Electromagnetic Fields and Waves", Reinhold Pregla describes an important and powerful method for analyzing electromagnetic waves. This book describes the general analysis principles for electromagnetic fields. It includes applications in microwave, millimetre wave and optical frequency regions. It unifies the analysis by introducing generalised transmission line (GTL) equations for all orthogonal coordinate systems and with materials of arbitrary anisotropy as a common start point. It demonstrates a unique analysis principle with the numerical stable impedance/admittance transformation and a physical adapted field transformation concept that is also useful for other modelling algorithms.It includes chapters on Eigenmode calculations for various waveguides, concatenations and junctions of arbitrary number of different waveguide sections in complex devices, periodic structures (e.g. Bragg gratings, meander lines, clystron resonators, photonic crystals), antennas (e.g. circular and conformal). It enables the reader to solve partial differential equations in other physical areas by using the described principles. It features an accompanying website with program codes in Matlab[copyright] for special problems. "Analysis of Electromagnetic Fields and Waves" will appeal to electromagnetic field practitioners in primary and applied research as well as postgraduate students in the areas of photonics, micro and millimetre waves, general electromagnetics, e.g. microwave integrated circuits, antennas, integrated and fibre optics, optoelectronics, nanophotonics, microstructures, artificial materials.
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TK7872 .M25 P72 2008  Available 
 Jovanović, Boško S., author.
 London ; New York : Springer, [2014]
 Description
 Book — xiii, 408 pages : illustrations ; 25 cm.
 Summary

 Distributions and function spaces
 Elements of functional analysis
 A survey of abstract spaces
 Linear operators in normed linear spaces
 Sublinear functionals
 Linear functionals on hilbert spaces
 Interpolation of banach spaces
 Basic function spaces
 Spaces of continuous functions
 Spaces of integrable functions
 Distributions
 Test functions and distributions
 Operations with distributions
 Tempered distributions
 Fourier transform of a tempered distribution
 Sobolev spaces
 Anisotropie sobolev spaces
 Besov spaces
 Interpolation properties of sobolev spaces
 Multiplier spaces
 Fourier multipliers and mollifiers
 Fourier multipliers
 Definition of mollifier
 An admissible class of mollifiers
 Mollifiers of tempered distributions
 Multipliers and mollifiers on periodic spaces
 Elliptic boundaryvalue problems
 Existence and uniqueness of solutions
 Approximation of elliptic problems
 Introduction to the theory of finite difference schemes
 Finite difference approximation in one space dimension
 Finite difference scheme for a univariate problem
 The multidimensional case
 Approximation of a generalized poisson problem
 Convergence analysis on uniform meshes
 The BrambleHilbert Lemma
 Optimal error bounds on uniform meshes
 Convergence analysis on nonuniform meshes
 Cartesianproduct nonuniform meshes
 An alternative scheme
 The rotated discrete laplacian
 Convergence analysis in Lp norms
 Discrete fourier multipliers
 The model problem and its approximation
 Convergence in discrete besselpotential norms
 Approximation of secondorder elliptic equations with variable coefficients
 Convergence in the discrete W¹2 norm
 Convergence in the discreteW²2 norm
 Convergence in the discrete L2 norm
 Convergence in discrete fractionalorder norms
 Convergence in the discrete L2 norm : separated variables
 Fourthorder elliptic equations
 An elliptic interface problem
 Finite difference approximation
 Convergence in the discrete W¹2 norm
 Bibliographical notes
 Finite difference approximation of parabolic problems
 Parabolicequations
 Abstract parabolic initialvalue problems
 Some a priori estimates
 Application to parabolic partial differential equations
 Abstract twolevel operatordifference schemes
 Classical difference schemes for the heat equation
 Explicit and implicit schemes
 Stability of explicit and implicit schemes
 Error analysis of difference schemes for the heat equation
 The heatequation with nonsmooth data
 The initialboundaryvalue problem and its discretization
 Error analysis
 The case of independent meshsizes
 Parabolic problems with variable coefficients
 Formulation of the problem
 The finite difference scheme
 Error analysis
 Factorized scheme
 A parabolic interface problem
 Finite difference approximation  Factorized scheme
 A parabolic transmission problem
 Weak solutions and function spaces
 Finite difference approximation
 Factorized scheme
 Bibliographical notes
 Finite difference approximation of hyperbolic problems
 Hyperbolic equations
 Abstract hyperbolic initialvalue problems
 Some a priori estimates
 Abstract threelevel operatordifference schemes
 Classical difference schemes for the wave equation
 Explicit and weighted schemes
 Stability of the weighted difference scheme
 Error analysis of difference schemes for the wave equation
 The wave equation with nonsmooth data
 The initialboundaryvalue problem and its discretization
 Error analysis
 Hyperbolic problems with variable coefficients
 Formulation of the problem
 The finite difference scheme
 Convergence of the finite difference scheme
 Factorized scheme
 Hyperbolic interface problem
 Finite difference approximation
 Factorized scheme
 Hyperbolic transmission problem
 Finite difference approximation
 Bibliographical notes
 References
 Index
 List of symbols.
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Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA377 .J684 2014  Unknown 
 Evans, Gwynne.
 London ; New York : Springer, c2000.
 Description
 Book — xii, 299 p. : ill. ; 24 cm.
 Summary

 Mathematical Preliminaries. Separation of the Variables. First Order Equations and Hyperbolic Second Order Equations. Integral Transform Methods. Green's Functions. Appendix. References. Index.
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Science Library (Li and Ma)
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QA377 .E945 2000  Unknown 
 Paris : Société mathématique de france, 1981.
 Description
 Book — 262 p. ; 24 cm.
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QA1 .A78 V.8990  Available 
 Colton, David L., 1943
 Boston : Pitman Advanced Pub. Program , c1980.
 Description
 Book — xii, 239 p. : ill. ; 24 cm.
 Online
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QA374 .C648  Available 
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