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  • Differential equations  (9)
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  • 1
    Unknown
    Cham : Springer
    Keywords: Mathematics ; Numerical analysis ; Computer mathematics ; Computer software ; Mathematics ; Computational Science and Engineering ; Numeric Computing ; Mathematical Software ; Finite difference methods ; Programming ; Python ; Verification ; Numerical methods ; Differential equations
    Description / Table of Contents: 1. Vibration ODEs --- 1.1 Finite Difference Discretization --- 1.2 Implementation --- 1.3 Visualization of Long Time Simulations --- 1.4 Analysis of the Numerical Scheme --- 1.5 Alternative Schemes Based on 1st-Order Equations --- 1.6 Energy Considerations --- 1.7 The Euler-Cromer Method --- 1.8 Staggered Mesh --- 1.9 Exercises and Problems --- 1.10 Generalization: Damping, Nonlinearities, and Excitation --- 1.11 Exercises and Problems --- 1.12 Applications of Vibration Models --- 1.13 Exercises --- 2. Wave Equations --- 2.1 Simulation of Waves on a String --- 2.2 Verification --- 2.3 Implementation --- 2.4 Vectorization --- 2.5 Exercises --- 2.6 Generalization: Reflecting Boundaries --- 2.7 Generalization: Variable Wave Velocity --- 2.8 Building a General 1D Wave Equation Solver --- 2.9 Exercises --- 2.10 Analysis of the Difference Equations --- 2.11 Finite Difference Methods for 2D and 3D Wave Equations --- 2.12 Implementation --- 2.13 Exercises --- 2.14 Applications of Wave Equations --- 2.15 Exercises --- 3. Diffusion Equations --- 3.1 An Explicit Method for the 1D Diffusion Equation --- 3.2 Implicit Methods for the 1D Diffusion Equation --- 3.3 Analysis of Schemes for the Diffusion Equation --- 3.4 Exercises --- 3.5 Diffusion in Heterogeneous Media --- 3.6 Diffusion in 2D --- 3.7 Random Walk --- 3.8 Applications --- 3.9 Exercises --- 4. Advection-Dominated Equations --- 4.1 One-Dimensional Time-Dependent Advection Equations --- 4.2 One-Dimensional Stationary Advection-Diffusion Equation --- 4.3 Time-dependent Convection-Diffusion Equations --- 4.4 Applications of Advection Equations --- 4.5 Exercises --- 5. Nonlinear Problems --- 5.1 Introduction of Basic Concepts --- 5.2 Systems of Nonlinear Algebraic Equations --- 5.3 Linearization at the Differential Equation Level --- 5.4 1D Stationary Nonlinear Differential Equations --- 5.5 Multi-Dimensional Nonlinear PDE Problems --- 5.6 Operator Splitting Methods --- 5.7 Exercises
    Pages: Online-Ressource (XXIII, 507 pages) , 150 illustrations
    ISBN: 9783319554563
    Language: English
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  • 2
    Unknown
    Cham : Springer
    Keywords: Mathematics ; Computer simulation ; Differential equations ; Partial differential equations ; Computer mathematics ; Mathematical models ; Mathematics ; Ordinary Differential Equations ; Partial Differential Equations ; Mathematical Modeling and Industrial Mathematics ; Computational Science and Engineering ; Simulation and Modeling
    Description / Table of Contents: Preface --- 1 Dimensions and Units --- 2 Ordinary Differential Equations Models --- 3 Basic Partial Differential Equations Models --- Advanced Partial Differential Equations Models --- References --- Index
    Pages: Online-Ressource (XIII, 138 pages) , 22 illustrations
    ISBN: 9783319327266
    Language: English
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  • 3
    Unknown
    Cham : Springer
    Keywords: Mathematics ; Computer simulation ; Differential equations ; Partial differential equations ; Computer mathematics ; Mathematical models ; Mathematics ; Ordinary Differential Equations ; Partial Differential Equations ; Mathematical Modeling and Industrial Mathematics ; Computational Science and Engineering ; Simulation and Modeling
    Description / Table of Contents: Preface --- 1 Dimensions and Units --- 2 Ordinary Differential Equations Models --- 3 Basic Partial Differential Equations Models --- Advanced Partial Differential Equations Models --- References --- Index
    Pages: Online-Ressource (XIII, 138 pages) , 22 illustrations
    ISBN: 9783319327266
    Language: English
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  • 4
    Keywords: Finance ; Mathematics ; Quantitative Finance ; Game Theory, Economics, Social and Behav. Sciences ; Finance, general ; Actuarial Sciences
    Description / Table of Contents: Part I Markets, Regulation, and Model Risk --- A Random Holding Period Approach for Liquidity-Inclusive Risk Management --- Regulatory Developments in Risk Management: Restoring Confidence in Internal Models --- Model Risk in Incomplete Markets with Jumps --- Part II Financial Engineering --- Bid-Ask Spread for Exotic Options Under Conic Finance --- Derivative Pricing Under the Possibility of Long Memory in the supOU Stochastic Volatility Model --- A Two-Sided BNS Model for Multicurrency FX Markets --- Modeling the Price of Natural Gas with Temperature and Oil Price as Exogenous Factors --- Copula-Specific Credit Portfolio Modeling --- Implied Recovery Rates—Auctions and Models --- Upside and Downside Risk Exposures of Currency Carry Trades via Tail Dependence --- Part III Insurance Risk and Asset Management --- Participating Life Insurance Contracts Under Risk Based Solvency Frameworks: How to Increase Capital Efficiency by Product Design --- Reducing Surrender Incentives Through Fee Structure in Variable Annuities --- A Variational Approach for Mean-Variance-Optimal Deterministic Consumption and Investment --- Risk Control in Asset Management: Motives and Concepts --- Worst-Case Scenario Portfolio Optimization Given the Probability of a Crash --- Improving Optimal Terminal Value Replicating Portfolios --- Part IV Computational Methods for Risk Management --- Risk and Computation --- Extreme Value Importance Sampling for Rare Event Risk Measurement --- A Note on the Numerical Evaluation of the Hartman–Watson Density and Distribution Function --- Computation of Copulas by Fourier Methods --- Part V Dependence Modelling --- Goodness-of-fit Tests for Archimedean Copulas in High Dimensions --- Duality in Risk Aggregation --- Some Consequences of the Markov Kernel Perspective of Copulas --- Copula Representations for Invariant Dependence Functions --- Nonparametric Copula Density Estimation Using a Petrov–Galerkin Projection
    Pages: Online-Ressource (XI, 438 pages) , 84 illustrations
    ISBN: 9783319091143
    Language: English
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  • 5
    Keywords: Finance ; Mathematics ; Quantitative Finance ; Game Theory, Economics, Social and Behav. Sciences ; Finance, general ; Actuarial Sciences
    Description / Table of Contents: Part I Markets, Regulation, and Model Risk --- A Random Holding Period Approach for Liquidity-Inclusive Risk Management --- Regulatory Developments in Risk Management: Restoring Confidence in Internal Models --- Model Risk in Incomplete Markets with Jumps --- Part II Financial Engineering --- Bid-Ask Spread for Exotic Options Under Conic Finance --- Derivative Pricing Under the Possibility of Long Memory in the supOU Stochastic Volatility Model --- A Two-Sided BNS Model for Multicurrency FX Markets --- Modeling the Price of Natural Gas with Temperature and Oil Price as Exogenous Factors --- Copula-Specific Credit Portfolio Modeling --- Implied Recovery Rates—Auctions and Models --- Upside and Downside Risk Exposures of Currency Carry Trades via Tail Dependence --- Part III Insurance Risk and Asset Management --- Participating Life Insurance Contracts Under Risk Based Solvency Frameworks: How to Increase Capital Efficiency by Product Design --- Reducing Surrender Incentives Through Fee Structure in Variable Annuities --- A Variational Approach for Mean-Variance-Optimal Deterministic Consumption and Investment --- Risk Control in Asset Management: Motives and Concepts --- Worst-Case Scenario Portfolio Optimization Given the Probability of a Crash --- Improving Optimal Terminal Value Replicating Portfolios --- Part IV Computational Methods for Risk Management --- Risk and Computation --- Extreme Value Importance Sampling for Rare Event Risk Measurement --- A Note on the Numerical Evaluation of the Hartman–Watson Density and Distribution Function --- Computation of Copulas by Fourier Methods --- Part V Dependence Modelling --- Goodness-of-fit Tests for Archimedean Copulas in High Dimensions --- Duality in Risk Aggregation --- Some Consequences of the Markov Kernel Perspective of Copulas --- Copula Representations for Invariant Dependence Functions --- Nonparametric Copula Density Estimation Using a Petrov–Galerkin Projection
    Pages: Online-Ressource (XI, 438 pages) , 84 illustrations
    ISBN: 9783319091143
    Language: English
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  • 6
    Keywords: Finance ; Mathematics ; Quantitative Finance ; Game Theory, Economics, Social and Behav. Sciences ; Finance, general ; Actuarial Sciences
    Description / Table of Contents: Part I Markets, Regulation, and Model Risk --- A Random Holding Period Approach for Liquidity-Inclusive Risk Management --- Regulatory Developments in Risk Management: Restoring Confidence in Internal Models --- Model Risk in Incomplete Markets with Jumps --- Part II Financial Engineering --- Bid-Ask Spread for Exotic Options Under Conic Finance --- Derivative Pricing Under the Possibility of Long Memory in the supOU Stochastic Volatility Model --- A Two-Sided BNS Model for Multicurrency FX Markets --- Modeling the Price of Natural Gas with Temperature and Oil Price as Exogenous Factors --- Copula-Specific Credit Portfolio Modeling --- Implied Recovery Rates—Auctions and Models --- Upside and Downside Risk Exposures of Currency Carry Trades via Tail Dependence --- Part III Insurance Risk and Asset Management --- Participating Life Insurance Contracts Under Risk Based Solvency Frameworks: How to Increase Capital Efficiency by Product Design --- Reducing Surrender Incentives Through Fee Structure in Variable Annuities --- A Variational Approach for Mean-Variance-Optimal Deterministic Consumption and Investment --- Risk Control in Asset Management: Motives and Concepts --- Worst-Case Scenario Portfolio Optimization Given the Probability of a Crash --- Improving Optimal Terminal Value Replicating Portfolios --- Part IV Computational Methods for Risk Management --- Risk and Computation --- Extreme Value Importance Sampling for Rare Event Risk Measurement --- A Note on the Numerical Evaluation of the Hartman–Watson Density and Distribution Function --- Computation of Copulas by Fourier Methods --- Part V Dependence Modelling --- Goodness-of-fit Tests for Archimedean Copulas in High Dimensions --- Duality in Risk Aggregation --- Some Consequences of the Markov Kernel Perspective of Copulas --- Copula Representations for Invariant Dependence Functions --- Nonparametric Copula Density Estimation Using a Petrov–Galerkin Projection
    Pages: Online-Ressource (XI, 438 pages) , 84 illustrations
    ISBN: 9783319091143
    Language: English
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  • 7
    Keywords: DDC 515.35 ; LC QA377 ; Differential equations
    Description / Table of Contents: This handbook is the fourth volume in a series of volumes devoted to self contained and up-to-date surveys in the theory of ordinary differential equations, with an additional effort to achieve readability for mathematicians and scientists from other related fields so that the chapters have been made accessible to a wider audience. * Covers a variety of problems in ordinary differential equations * Pure mathematical and real world applications * Written for mathematicians and scientists of many related fields
    Pages: Online-Ressource (xv, 702 pages)
    ISBN: 9780444530318
    Language: English
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  • 8
    Keywords: DDC 515.35 ; LC QA371 ; Differential equations ; Differential equations, Partial ; Evolution equations
    Pages: Online-Ressource (xv, 592 pages)
    ISBN: 9780444530349
    Language: English
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  • 9
    Unknown
    Amsterdam ; Boston : Elsevier North Holland
    Keywords: DDC 515.35 ; LC QA371 ; Differential equations ; Differential equations, Partial ; Evolution equations
    Pages: Online-Ressource (vii, 638 pages)
    Edition: 1st ed
    ISBN: 9780444528483
    Language: English
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  • 10
    Unknown
    Amsterdam ; Boston : Elsevier
    Keywords: DDC 515.35 ; LC QA371 ; Differential equations ; Set theory ; Symmetry (Mathematics)
    Pages: Online-Ressource (xii, 344 pages)
    Edition: 1st ed
    ISBN: 9780444527615
    Language: English
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  • 11
    Keywords: DDC 515/.83 ; LC QA314 ; Differential equations ; Fractional calculus
    Pages: Online-Ressource (xv, 523 pages)
    Edition: 1st ed
    ISBN: 9780444518323
    Language: English
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  • 12
    Unknown
    Amsterdam ; Boston : Elsevier
    Keywords: DDC 515/.392 ; LC QA871 ; Computer science - Mathematics ; Differential equations ; Runge-Kutta formulas ; Stability
    Pages: Online-Ressource (xv, 286 pages)
    Edition: 1st ed
    ISBN: 9780444521408
    Language: English
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