Advances in mathematics research.: Vol. 17 /
Gespeichert in:
| Weitere Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York :
Nova Science Publishers, Inc.,
©2012.
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| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Title from PDF title page (viewed March 27, 2013). |
| Beschreibung: | 1 online resource |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9781621008828 1621008827 |
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| 245 | 0 | 0 | |a Advances in mathematics research. |n Vol. 17 / |c Albert R. Baswell, editor. |
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| 504 | |a Includes bibliographical references and index. | ||
| 500 | |a Title from PDF title page (viewed March 27, 2013). | ||
| 505 | 0 | |a ADVANCES IN MATHEMATICS RESEARCH VOLUME 17 ; ADVANCES IN MATHEMATICS RESEARCH VOLUME 17 ; Contents; Preface; NONLINEAR EVOLUTION EQUATIONS IN VIEW OF THE EXP-FUNCTION METHOD AND ITS GENERALIZATION; Abstract; 1. Introduction; 2. TheExp-FunctionMethod; 3. Applications; 3.1. NonlinearKdVEquation; 3.2. Burgers'Equation; 3.3. TheCombinedKdV-mKdVEquation; 3.4. GeneralizedKlein-GordonEquation; 4. EvolutionEquationswithNonlinearTermsofAnyOrders; 4.1. MethodofSolution; 4.2. ExactSolutionsforGeneralizedBurgersEquationwithVariableCoefficients; 4.3. ExactSolutionsforGeneralizedKdVEquationwithVariableCoefficients. | |
| 505 | 8 | |a 5. The -FunctionMethod5.1. ApplicationtoBurgersEquation; 5.2. GeneralFormulaforthe -FunctionMethod; 5.3. ApplicationtoNanoBoundaryLayerProblems; 5.3.1. GeneralExactSolutionsvia -FunctionMethod; 5.3.2. ExactSolutionsSatisfytheBoundaryConditions; 6. Conclusion; References; CATEGORICAL ABSTRACT ALGEBRAIC LOGIC: GENERALIZED TARSKI CONGRUENCE SYSTEMS; Abstract; 1. Introduction; 2. SententialLogicsand -Institutions; 3. CategoryCongruences; 4. EquivalenceSystems; 5. CongruenceSystems; 6. LogicalandTarskiCongruenceSystems; 7. DiscussionandOpenProblems; Acknowledgements; References. | |
| 505 | 8 | |a PARALLELIZATION OF NEURAL NETWORK BUILDING AND TRAINING: AN ORIGINAL DECOMPOSITION METHODAbstract; 1. NeuralNetworkDescription; 1.1. Topology; 1.2. IncrementalLearningApproaches; 1.2.1. ClassicalAlgorithms; 1.2.2. CascadeCorrelation; 1.2.3. AlgorithmProposedbyDunkinetal.; 1.3. DesignofaNewIncrementalLearningAlgorithm; 1.3.1.NetworkTopology; 1.3.2. LearningandHiddenLayerBuildingTogether; 2. DecompositionMethod; 2.1. QuantificationoftheComplexityofaLearningDomain; 2.2. TheURBDecompositionMethod; 2.3. OverlappingbetweenSub-domains; 2.4. WorkontheDataset:ExtractionofaRepresentativeSetfromMassiveData. | |
| 505 | 8 | |a 3. ValidationoftheTrainingProcess3.1. TheParallelEnvironment; 3.2. ASimpleCase; 3.3. ARealWorldApplication:TheRadiotherapyContext; 3.3.1. RadiotherapyContext:DatasetBuilding; 3.3.2. ValidationProcess; 4. PerformanceEnhancementoftheNeuralNetworkExploitation; 4.1. AcceleratingtheDoseDepositEvaluations; 4.2. Results; 5. Conclusion; References; OVER-DETERMINED BOUNDARY VALUE PROBLEMS FOR LINEAR EQUATIONS OF ELASTODYNAMICS AND THEIR APPLICATIONS TO ELASTIC WAVE DIFFRACTION THEORY; Abstract; 1. Introduction; 2. AxiomaticBasisofDynamicElasticityTheory; 3. TheOver-DeterminedCauchyProblemintheSemi-Plane. | |
| 505 | 8 | |a 4. TheOver-DeterminedCauchyProbleminSemi-Space5. TheBasicBoundaryValueProblemsinSemi-SpaceandinSemi-Plane; 6. DefectsontheBoundaryofElasticSemi-Plane; 7. TwoElasticBodies. TheJumpProblem; 8. TheDiffractionofElasticWaveontheCrack; References; TWO FINITE ELEMENT METHODS FOR NEARLY INCOMPRESSIBLE LINEAR ELASTICITY USING SIMPLICIAL MESHES; Abstract; 1. Introduction; 2. TheBoundaryValueProblemofLinearElasticity; 2.1. StandardWeakFormulation; 2.2. MixedFormulation; 3. FiniteElementDiscretizationoftheNon-SymmetricSystem; 4. SymmetricApproachBasedonaThree-FieldFormulation. | |
| 650 | 0 | |a Mathematics |x Research. |0 http://id.loc.gov/authorities/subjects/sh85082156 | |
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| contents | ADVANCES IN MATHEMATICS RESEARCH VOLUME 17 ; ADVANCES IN MATHEMATICS RESEARCH VOLUME 17 ; Contents; Preface; NONLINEAR EVOLUTION EQUATIONS IN VIEW OF THE EXP-FUNCTION METHOD AND ITS GENERALIZATION; Abstract; 1. Introduction; 2. TheExp-FunctionMethod; 3. Applications; 3.1. NonlinearKdVEquation; 3.2. Burgers'Equation; 3.3. TheCombinedKdV-mKdVEquation; 3.4. GeneralizedKlein-GordonEquation; 4. EvolutionEquationswithNonlinearTermsofAnyOrders; 4.1. MethodofSolution; 4.2. ExactSolutionsforGeneralizedBurgersEquationwithVariableCoefficients; 4.3. ExactSolutionsforGeneralizedKdVEquationwithVariableCoefficients. 5. The -FunctionMethod5.1. ApplicationtoBurgersEquation; 5.2. GeneralFormulaforthe -FunctionMethod; 5.3. ApplicationtoNanoBoundaryLayerProblems; 5.3.1. GeneralExactSolutionsvia -FunctionMethod; 5.3.2. ExactSolutionsSatisfytheBoundaryConditions; 6. Conclusion; References; CATEGORICAL ABSTRACT ALGEBRAIC LOGIC: GENERALIZED TARSKI CONGRUENCE SYSTEMS; Abstract; 1. Introduction; 2. SententialLogicsand -Institutions; 3. CategoryCongruences; 4. EquivalenceSystems; 5. CongruenceSystems; 6. LogicalandTarskiCongruenceSystems; 7. DiscussionandOpenProblems; Acknowledgements; References. PARALLELIZATION OF NEURAL NETWORK BUILDING AND TRAINING: AN ORIGINAL DECOMPOSITION METHODAbstract; 1. NeuralNetworkDescription; 1.1. Topology; 1.2. IncrementalLearningApproaches; 1.2.1. ClassicalAlgorithms; 1.2.2. CascadeCorrelation; 1.2.3. AlgorithmProposedbyDunkinetal.; 1.3. DesignofaNewIncrementalLearningAlgorithm; 1.3.1.NetworkTopology; 1.3.2. LearningandHiddenLayerBuildingTogether; 2. DecompositionMethod; 2.1. QuantificationoftheComplexityofaLearningDomain; 2.2. TheURBDecompositionMethod; 2.3. OverlappingbetweenSub-domains; 2.4. WorkontheDataset:ExtractionofaRepresentativeSetfromMassiveData. 3. ValidationoftheTrainingProcess3.1. TheParallelEnvironment; 3.2. ASimpleCase; 3.3. ARealWorldApplication:TheRadiotherapyContext; 3.3.1. RadiotherapyContext:DatasetBuilding; 3.3.2. ValidationProcess; 4. PerformanceEnhancementoftheNeuralNetworkExploitation; 4.1. AcceleratingtheDoseDepositEvaluations; 4.2. Results; 5. Conclusion; References; OVER-DETERMINED BOUNDARY VALUE PROBLEMS FOR LINEAR EQUATIONS OF ELASTODYNAMICS AND THEIR APPLICATIONS TO ELASTIC WAVE DIFFRACTION THEORY; Abstract; 1. Introduction; 2. AxiomaticBasisofDynamicElasticityTheory; 3. TheOver-DeterminedCauchyProblemintheSemi-Plane. 4. TheOver-DeterminedCauchyProbleminSemi-Space5. TheBasicBoundaryValueProblemsinSemi-SpaceandinSemi-Plane; 6. DefectsontheBoundaryofElasticSemi-Plane; 7. TwoElasticBodies. TheJumpProblem; 8. TheDiffractionofElasticWaveontheCrack; References; TWO FINITE ELEMENT METHODS FOR NEARLY INCOMPRESSIBLE LINEAR ELASTICITY USING SIMPLICIAL MESHES; Abstract; 1. Introduction; 2. TheBoundaryValueProblemofLinearElasticity; 2.1. StandardWeakFormulation; 2.2. MixedFormulation; 3. FiniteElementDiscretizationoftheNon-SymmetricSystem; 4. SymmetricApproachBasedonaThree-FieldFormulation. |
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| discipline | Mathematik |
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| indexdate | 2024-11-27T13:25:15Z |
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| spelling | Advances in mathematics research. Vol. 17 / Albert R. Baswell, editor. New York : Nova Science Publishers, Inc., ©2012. 1 online resource text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references and index. Title from PDF title page (viewed March 27, 2013). ADVANCES IN MATHEMATICS RESEARCH VOLUME 17 ; ADVANCES IN MATHEMATICS RESEARCH VOLUME 17 ; Contents; Preface; NONLINEAR EVOLUTION EQUATIONS IN VIEW OF THE EXP-FUNCTION METHOD AND ITS GENERALIZATION; Abstract; 1. Introduction; 2. TheExp-FunctionMethod; 3. Applications; 3.1. NonlinearKdVEquation; 3.2. Burgers'Equation; 3.3. TheCombinedKdV-mKdVEquation; 3.4. GeneralizedKlein-GordonEquation; 4. EvolutionEquationswithNonlinearTermsofAnyOrders; 4.1. MethodofSolution; 4.2. ExactSolutionsforGeneralizedBurgersEquationwithVariableCoefficients; 4.3. ExactSolutionsforGeneralizedKdVEquationwithVariableCoefficients. 5. The -FunctionMethod5.1. ApplicationtoBurgersEquation; 5.2. GeneralFormulaforthe -FunctionMethod; 5.3. ApplicationtoNanoBoundaryLayerProblems; 5.3.1. GeneralExactSolutionsvia -FunctionMethod; 5.3.2. ExactSolutionsSatisfytheBoundaryConditions; 6. Conclusion; References; CATEGORICAL ABSTRACT ALGEBRAIC LOGIC: GENERALIZED TARSKI CONGRUENCE SYSTEMS; Abstract; 1. Introduction; 2. SententialLogicsand -Institutions; 3. CategoryCongruences; 4. EquivalenceSystems; 5. CongruenceSystems; 6. LogicalandTarskiCongruenceSystems; 7. DiscussionandOpenProblems; Acknowledgements; References. PARALLELIZATION OF NEURAL NETWORK BUILDING AND TRAINING: AN ORIGINAL DECOMPOSITION METHODAbstract; 1. NeuralNetworkDescription; 1.1. Topology; 1.2. IncrementalLearningApproaches; 1.2.1. ClassicalAlgorithms; 1.2.2. CascadeCorrelation; 1.2.3. AlgorithmProposedbyDunkinetal.; 1.3. DesignofaNewIncrementalLearningAlgorithm; 1.3.1.NetworkTopology; 1.3.2. LearningandHiddenLayerBuildingTogether; 2. DecompositionMethod; 2.1. QuantificationoftheComplexityofaLearningDomain; 2.2. TheURBDecompositionMethod; 2.3. OverlappingbetweenSub-domains; 2.4. WorkontheDataset:ExtractionofaRepresentativeSetfromMassiveData. 3. ValidationoftheTrainingProcess3.1. TheParallelEnvironment; 3.2. ASimpleCase; 3.3. ARealWorldApplication:TheRadiotherapyContext; 3.3.1. RadiotherapyContext:DatasetBuilding; 3.3.2. ValidationProcess; 4. PerformanceEnhancementoftheNeuralNetworkExploitation; 4.1. AcceleratingtheDoseDepositEvaluations; 4.2. Results; 5. Conclusion; References; OVER-DETERMINED BOUNDARY VALUE PROBLEMS FOR LINEAR EQUATIONS OF ELASTODYNAMICS AND THEIR APPLICATIONS TO ELASTIC WAVE DIFFRACTION THEORY; Abstract; 1. Introduction; 2. AxiomaticBasisofDynamicElasticityTheory; 3. TheOver-DeterminedCauchyProblemintheSemi-Plane. 4. TheOver-DeterminedCauchyProbleminSemi-Space5. TheBasicBoundaryValueProblemsinSemi-SpaceandinSemi-Plane; 6. DefectsontheBoundaryofElasticSemi-Plane; 7. TwoElasticBodies. TheJumpProblem; 8. TheDiffractionofElasticWaveontheCrack; References; TWO FINITE ELEMENT METHODS FOR NEARLY INCOMPRESSIBLE LINEAR ELASTICITY USING SIMPLICIAL MESHES; Abstract; 1. Introduction; 2. TheBoundaryValueProblemofLinearElasticity; 2.1. StandardWeakFormulation; 2.2. MixedFormulation; 3. FiniteElementDiscretizationoftheNon-SymmetricSystem; 4. SymmetricApproachBasedonaThree-FieldFormulation. Mathematics Research. http://id.loc.gov/authorities/subjects/sh85082156 MATHEMATICS Essays. bisacsh MATHEMATICS Pre-Calculus. bisacsh MATHEMATICS Reference. bisacsh Mathematics Research fast Baswell, Albert R. has work: Advances in mathematics research Volume 17 (Text) https://id.oclc.org/worldcat/entity/E39PCYCFrV9pDKdDfytXhCrVP3 https://id.oclc.org/worldcat/ontology/hasWork FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=535144 Volltext |
| spellingShingle | Advances in mathematics research. ADVANCES IN MATHEMATICS RESEARCH VOLUME 17 ; ADVANCES IN MATHEMATICS RESEARCH VOLUME 17 ; Contents; Preface; NONLINEAR EVOLUTION EQUATIONS IN VIEW OF THE EXP-FUNCTION METHOD AND ITS GENERALIZATION; Abstract; 1. Introduction; 2. TheExp-FunctionMethod; 3. Applications; 3.1. NonlinearKdVEquation; 3.2. Burgers'Equation; 3.3. TheCombinedKdV-mKdVEquation; 3.4. GeneralizedKlein-GordonEquation; 4. EvolutionEquationswithNonlinearTermsofAnyOrders; 4.1. MethodofSolution; 4.2. ExactSolutionsforGeneralizedBurgersEquationwithVariableCoefficients; 4.3. ExactSolutionsforGeneralizedKdVEquationwithVariableCoefficients. 5. The -FunctionMethod5.1. ApplicationtoBurgersEquation; 5.2. GeneralFormulaforthe -FunctionMethod; 5.3. ApplicationtoNanoBoundaryLayerProblems; 5.3.1. GeneralExactSolutionsvia -FunctionMethod; 5.3.2. ExactSolutionsSatisfytheBoundaryConditions; 6. Conclusion; References; CATEGORICAL ABSTRACT ALGEBRAIC LOGIC: GENERALIZED TARSKI CONGRUENCE SYSTEMS; Abstract; 1. Introduction; 2. SententialLogicsand -Institutions; 3. CategoryCongruences; 4. EquivalenceSystems; 5. CongruenceSystems; 6. LogicalandTarskiCongruenceSystems; 7. DiscussionandOpenProblems; Acknowledgements; References. PARALLELIZATION OF NEURAL NETWORK BUILDING AND TRAINING: AN ORIGINAL DECOMPOSITION METHODAbstract; 1. NeuralNetworkDescription; 1.1. Topology; 1.2. IncrementalLearningApproaches; 1.2.1. ClassicalAlgorithms; 1.2.2. CascadeCorrelation; 1.2.3. AlgorithmProposedbyDunkinetal.; 1.3. DesignofaNewIncrementalLearningAlgorithm; 1.3.1.NetworkTopology; 1.3.2. LearningandHiddenLayerBuildingTogether; 2. DecompositionMethod; 2.1. QuantificationoftheComplexityofaLearningDomain; 2.2. TheURBDecompositionMethod; 2.3. OverlappingbetweenSub-domains; 2.4. WorkontheDataset:ExtractionofaRepresentativeSetfromMassiveData. 3. ValidationoftheTrainingProcess3.1. TheParallelEnvironment; 3.2. ASimpleCase; 3.3. ARealWorldApplication:TheRadiotherapyContext; 3.3.1. RadiotherapyContext:DatasetBuilding; 3.3.2. ValidationProcess; 4. PerformanceEnhancementoftheNeuralNetworkExploitation; 4.1. AcceleratingtheDoseDepositEvaluations; 4.2. Results; 5. Conclusion; References; OVER-DETERMINED BOUNDARY VALUE PROBLEMS FOR LINEAR EQUATIONS OF ELASTODYNAMICS AND THEIR APPLICATIONS TO ELASTIC WAVE DIFFRACTION THEORY; Abstract; 1. Introduction; 2. AxiomaticBasisofDynamicElasticityTheory; 3. TheOver-DeterminedCauchyProblemintheSemi-Plane. 4. TheOver-DeterminedCauchyProbleminSemi-Space5. TheBasicBoundaryValueProblemsinSemi-SpaceandinSemi-Plane; 6. DefectsontheBoundaryofElasticSemi-Plane; 7. TwoElasticBodies. TheJumpProblem; 8. TheDiffractionofElasticWaveontheCrack; References; TWO FINITE ELEMENT METHODS FOR NEARLY INCOMPRESSIBLE LINEAR ELASTICITY USING SIMPLICIAL MESHES; Abstract; 1. Introduction; 2. TheBoundaryValueProblemofLinearElasticity; 2.1. StandardWeakFormulation; 2.2. MixedFormulation; 3. FiniteElementDiscretizationoftheNon-SymmetricSystem; 4. SymmetricApproachBasedonaThree-FieldFormulation. Mathematics Research. http://id.loc.gov/authorities/subjects/sh85082156 MATHEMATICS Essays. bisacsh MATHEMATICS Pre-Calculus. bisacsh MATHEMATICS Reference. bisacsh Mathematics Research fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85082156 |
| title | Advances in mathematics research. |
| title_auth | Advances in mathematics research. |
| title_exact_search | Advances in mathematics research. |
| title_full | Advances in mathematics research. Vol. 17 / Albert R. Baswell, editor. |
| title_fullStr | Advances in mathematics research. Vol. 17 / Albert R. Baswell, editor. |
| title_full_unstemmed | Advances in mathematics research. Vol. 17 / Albert R. Baswell, editor. |
| title_short | Advances in mathematics research. |
| title_sort | advances in mathematics research |
| topic | Mathematics Research. http://id.loc.gov/authorities/subjects/sh85082156 MATHEMATICS Essays. bisacsh MATHEMATICS Pre-Calculus. bisacsh MATHEMATICS Reference. bisacsh Mathematics Research fast |
| topic_facet | Mathematics Research. MATHEMATICS Essays. MATHEMATICS Pre-Calculus. MATHEMATICS Reference. Mathematics Research |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=535144 |
| work_keys_str_mv | AT baswellalbertr advancesinmathematicsresearchvol17 |