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  • Books  (6)
  • Differential equations  (4)
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  • 2015-2019  (5)
  • 1950-1954  (1)
  • Mathematics  (6)
  • 1
    Unknown
    Kernel functions and elliptic differential equations in mathematical physics (1953)
    New York : Academic Press
    Details
    Keywords: DDC 517.38 ; LC QA3 ; Differential equations ; Functions
    Pages: Online-Ressource (xiii, 432 pages)
    ISBN: 9780123745811
    URL: http://www.sciencedirect.com/science/publication?issn=00798169&volume=4
    Language: English
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  • 2
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    Advances in Discrete Differential Geometry (2016)
    Berlin, Heidelberg : Springer
    Details
    Keywords: Mathematics ; Computer graphics ; Dynamics ; Ergodic theory ; Functions of complex variables ; Differential geometry ; Physics ; Mathematics ; Differential Geometry ; Functions of a Complex Variable ; Dynamical Systems and Ergodic Theory ; Computer Graphics ; Numerical and Computational Physics
    Description / Table of Contents: Discrete conformal maps: Boundary value problems, circle domains, Fuchsian and Schottky uniformization: Alexander I. Bobenko, Stefan Sechelmann, Boris Springborn --- Discrete complex analysis on planar quad-graphs: Alexander I. Bobenko and Felix Günther --- Approximation of conformal mappings using conformally equivalent triangular lattices: Ulrike Bücking --- Numerical Methods for the Discrete Map Za: Folkmar Bornemann, Alexander Its, Sheehan Olver, and Georg Wechslberger --- A variational principle for cyclic polygons with prescribed edge lengths: Hana Kourimská, Lara Skuppin, Boris Springborn --- Complex Line Bundles over Simplicial Complexes and their Applications: Felix Knöppel and Ulrich Pinkall --- Holomorphic vector fields and quadratic differentials on planar triangular meshes: Wai Yeung Lam, Ulrich Pinkall --- Vertex normals and face curvatures of triangle meshes: Xiang Sun, Caigui Jiang, Johannes Wallner, and Helmut Pottmann --- S-conical cmc surfaces. Towards a unified theory of discrete surfaces with constant mean curvature: Alexander I. Bobenko and Tim Hoffmann --- Constructing solutions to the Björling problem for isothermic surfaces by structure preserving discretization: Ulrike Bücking and Daniel Matthes --- On the Lagrangian Structure of Integrable Hierarchies: Yuri B. Suris, Mats Vermeeren --- On the variational interpretation of the discrete KP equation: Raphael Boll, Matteo Petrera, and Yuri B. Suris --- Six topics on inscribable polytopes: Arnau Padrol and Günter M. Ziegler --- DGD Gallery: Storage, sharing, and publication of digital research data: Michael Joswig, Milan Mehner, Stefan Sechelmann, Jan Techter, and Alexander I. Bobenko
    Pages: Online-Ressource (X, 439 pages) , 114 illustrations, 67 illustrations in color
    ISBN: 9783662504475
    URL: https://link.springer.com/openurl?genre=book&isbn=978-3-662-50447-5
    Language: English
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  • 3
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    Scaling of Differential Equations (2016)
    Cham : Springer
    Details
    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
    URL: https://link.springer.com/openurl?genre=book&isbn=978-3-319-32726-6
    Language: English
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  • 4
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    Finite Difference Computing with PDEs : A Modern Software Approach (2017)
    Cham : Springer
    Details
    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
    URL: https://link.springer.com/book/10.1007/978-3-319-55456-3
    Language: English
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  • 5
    Unknown
    Advances in Discrete Differential Geometry (2016)
    Berlin, Heidelberg : Springer
    Details
    Keywords: Mathematics ; Computer graphics ; Dynamics ; Ergodic theory ; Functions of complex variables ; Differential geometry ; Physics ; Mathematics ; Differential Geometry ; Functions of a Complex Variable ; Dynamical Systems and Ergodic Theory ; Computer Graphics ; Numerical and Computational Physics
    Description / Table of Contents: Discrete conformal maps: Boundary value problems, circle domains, Fuchsian and Schottky uniformization: Alexander I. Bobenko, Stefan Sechelmann, Boris Springborn --- Discrete complex analysis on planar quad-graphs: Alexander I. Bobenko and Felix Günther --- Approximation of conformal mappings using conformally equivalent triangular lattices: Ulrike Bücking --- Numerical Methods for the Discrete Map Za: Folkmar Bornemann, Alexander Its, Sheehan Olver, and Georg Wechslberger --- A variational principle for cyclic polygons with prescribed edge lengths: Hana Kourimská, Lara Skuppin, Boris Springborn --- Complex Line Bundles over Simplicial Complexes and their Applications: Felix Knöppel and Ulrich Pinkall --- Holomorphic vector fields and quadratic differentials on planar triangular meshes: Wai Yeung Lam, Ulrich Pinkall --- Vertex normals and face curvatures of triangle meshes: Xiang Sun, Caigui Jiang, Johannes Wallner, and Helmut Pottmann --- S-conical cmc surfaces. Towards a unified theory of discrete surfaces with constant mean curvature: Alexander I. Bobenko and Tim Hoffmann --- Constructing solutions to the Björling problem for isothermic surfaces by structure preserving discretization: Ulrike Bücking and Daniel Matthes --- On the Lagrangian Structure of Integrable Hierarchies: Yuri B. Suris, Mats Vermeeren --- On the variational interpretation of the discrete KP equation: Raphael Boll, Matteo Petrera, and Yuri B. Suris --- Six topics on inscribable polytopes: Arnau Padrol and Günter M. Ziegler --- DGD Gallery: Storage, sharing, and publication of digital research data: Michael Joswig, Milan Mehner, Stefan Sechelmann, Jan Techter, and Alexander I. Bobenko
    Pages: Online-Ressource (X, 439 pages) , 114 illustrations, 67 illustrations in color
    ISBN: 9783662504475
    URL: https://link.springer.com/openurl?genre=book&isbn=978-3-662-50447-5
    Language: English
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  • 6
    Unknown
    Scaling of Differential Equations (2016)
    Cham : Springer
    Details
    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
    URL: https://link.springer.com/openurl?genre=book&isbn=978-3-319-32726-6
    Language: English
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