MARC Record from harvard_bibliographic_metadata

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001 014158606-0
005 20141003190753.0
008 121227s2000 gw | o ||0| 0|eng d
020 $a9783642615313
020 $a9783540661009 (ebk.)
020 $a9783642615313
020 $a9783540661009
024 7 $a10.1007/978-3-642-61531-3$2doi
035 $a(Springer)9783642615313
040 $aSpringer
050 4 $aQA297-299.4
072 7 $aMAT006000$2bisacsh
072 7 $aMAT021000$2bisacsh
072 7 $aPBKS$2bicssc
082 04 $a518$223
100 1 $aDautray, Robert,$d1928-$eauthor.
245 10 $aMathematical Analysis and Numerical Methods for Science and Technology :$bVolume 4 Integral Equations and Numerical Methods /$cby Robert Dautray, Jacques-Louis Lions.
264 1 $aBerlin, Heidelberg :$bSpringer Berlin Heidelberg,$c2000.
300 $aX, 494p. 67 illus.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
505 0 $aX. Mixed Problems and the Tricomi Equation -- § 1. Description and Formulation of the Problem -- § 2. Methods for Solving Problems of Mixed Type -- Bibliographic Commentary -- XI. Integral Equations -- § 1. The Wiener-Hopf Method -- § 2. Sectionally Analytic Functions -- § 3. The Hilbert Problem -- § 4. Application to Some Problems in Physics -- § 1. Study of Certain Weighted Sobolev Spaces -- § 2. Integral Equations Associated with the Boundary Value Problems of Electrostatics -- § 3. Integral Equations Associated with the Helmholtz Equation -- § 4. Integral Equations Associated with Problems of Linear Elasticity -- § 5. Integral Equations Associated with the Stokes System -- XII. Numerical Methods for Stationary Problems -- § 1. Principal Aspects of the Finite Element Method Applied to the Problem of Linear Elasticity -- § 2. Treatment of Domains with Curved Boundaries -- § 3. A Non Conforming Method of Finite Elements -- § 4. Applications to the Problems of Plates and Shells -- § 5 Approximation of Eigenvalues and Eigenvectors -- § 6. An Example of the Approximate Calculation for a Problem of the Eigenvalues of a Non Self-Adjoint Operator -- Review of Chapter XII -- XIII. Approximation of Integral Equations by Finite Elements. Error Analysis -- § 1. The Case of a Polyhedral Surface -- § 2. The Case of a Regular Closed Surface -- Appendix. “Singular Integrals” -- § 1. Operator, Convolution Operator, Integral Operator -- § 2. The Hilbert Transformation -- § 3. Generalities on Singular Integral Operators -- § 5. The Calderon-Zygmund Theorem -- § 6. Marcinkiewicz Spaces -- 1. Definitions -- 2. Application to the Homogeneous Convolution Kernel -- 4. Operators of Weak Type. The Marcinkiewicz Theorem -- 5. The Maximal Hardy-Littlewood Operator. -- Proof of Lemma 1 in § 2 -- Table of Notations -- of Volumes1–3, 5, 6.
520 $aThe advent of high-speed computers has made it possible for the first time to calculate values from models accurately and rapidly. Researchers and engineers thus have a crucial means of using numerical results to modify and adapt arguments and experiments along the way. Every facet of technical and industrial activity has been affected by these developments. The objective of the present work is to compile the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers. Since the publication in 1924 of the "Methoden der mathematischen Physik" by Courant and Hilbert, there has been no other comprehensive and up-to-date publication presenting the mathematical tools needed in applications of mathematics in directly implementable form.
650 20 $aDifferential equations, Partial.
650 20 $aNumerical analysis.
650 20 $aComputational intelligence.
650 10 $aMathematics.
650 0 $aChemistry$xMathematics.
650 0 $aDifferential equations, partial.
650 0 $aEngineering.
650 0 $aMathematics.
650 0 $aNumerical analysis.
650 24 $aMath. Applications in Chemistry.
700 1 $aLions, Jacques-Louis,$eauthor.
776 08 $iPrinted edition:$z9783540661009
988 $a20140910
906 $0VEN