Search Results - "numerical method"
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Differential Equations for Studies in Computational Electrophysiology
Published 2023Table of Contents: “…The Diffusion Equation -- 4. Implicit Numerical Methods -- 5. Improved Accuracy -- 6. A Simple Cable Equation -- 7. …”
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123
Pattern Recognition, Tracking and Vertex Reconstruction in Particle Detectors
Published 2021Table of Contents: “…Event Reconstruction -- Chapter 3. Statistics and Numerical Methods -- Part 2. Track Reconstruction -- Chapter 4. …”
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Elementary Differential Equations with Boundary Value Problems
Published 2013Table of Contents: “…Chapter 1: Introduction -- Chapter 2: First Order Equations -- Chapter 3: Numerical Methods -- Chapter 4: Applications of First Order Equations -- Chapter 5: Linear Second Order Equations -- Chapter 6: Applications of Linear Second Order Equations -- Chapter 7: Series Solutions of Linear Second Order Equations -- Chapter 8: Laplace Transforms -- Chapter 9: Linear Higher Order Equations -- Chapter 10: Linear Systems of Differential Equations -- Chapter 11: Boundary Value Problems and Fourier Expansions -- Chapter 12: Fourier Solutions of Partial Differential Equations -- Chapter 13: Boundary Value Problems for Second Order Linear Equations…”
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Software for Exascale Computing - SPPEXA 2016-2019
Published 2020Table of Contents: “…EXA-DUNE: Flexible PDE Solvers, Numerical Methods, and Applications -- Smart-DASH: Smart Data Structures and Algorithms with Support for Hierarchical Locality -- Terra-Neo: Integrated Co-Design of an Exascale Earth Mantle Modeling Framework -- EXASTEEL-2: Dual Phase Steels - from Micro to Macro Properties -- GROMEX: Unified Long-range Electrostatics and Dynamic Protonation for Realistic Biomolecular Simulations on the Exascale -- ExaStencils: Advanced Stencil-Code Engineering -- ExaFSA: Exascale Simulation of Fluid-Structure-Acoustics Interactions -- EXAHD: An Exa-Scalable Two-Level Sparse Grid Approach for Higher-Dimensional Problems in Plasma Physics and Beyond -- EXAMAG: Exascale Simulations of the Magnetic Universe -- FFMK: A Fast and Fault Tolerant Microkernel-based System for Exascale Computing -- ESSEX-II: Equipping Sparse Solvers for Exascale -- EXASOLVERS: Extreme Scale Solvers for Coupled Problems -- ADA-FS: Advanced Data Placement via Ad-hoc File Systems at Extreme Scales -- AIMES: Advanced Computation and I/O Methods for Earth-System Simulations. …”
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136
Advances in Discrete Differential Geometry
Published 2016Table of Contents: “…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. …”
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137
Calculus
Published 2016Table of Contents: “…Chapter 1: Integration -- 1.1 Approximating Areas -- 1.2 The Definite Integral -- 1.3 The Fundamental Theorem of Calculus -- 1.4 Integration Formulas and the Net Change Theorem -- 1.5 Substitution -- 1.6 Integrals Involving Exponential and Logarithmic Functions -- 1.7 Integrals Resulting in Inverse Trigonometric Functions -- Chapter 2: Applications of Integration -- 2.1 Areas between Curves -- 2.2 Determining Volumes by Slicing -- 2.3 Volumes of Revolution: Cylindrical Shells -- 2.4 Arc Length of a Curve and Surface Area -- 2.5 Physical Applications -- 2.6 Moments and Centers of Mass -- 2.7 Integrals, Exponential Functions, and Logarithms -- 2.8 Exponential Growth and Decay -- 2.9 Calculus of the Hyperbolic Functions -- Chapter 3: Techniques of Integration -- 3.1 Integration by Parts -- 3.2 Trigonometric Integrals -- 3.3 Trigonometric Substitution -- 3.4 Partial Fractions -- 3.5 Other Strategies for Integration -- 3.6 Numerical Integration -- 3.7 Improper Integrals -- Chapter 4: Introduction to Differential Equations -- 4.1 Basics of Differential Equations -- 4.2 Direction Fields and Numerical Methods -- 4.3 Separable Equations -- 4.4 The Logistic Equation -- 4.5 First-order Linear Equations -- Chapter 5: Sequences and Series -- 5.1 Sequences -- 5.2 Infinite Series -- 5.3 The Divergence and Integral Tests -- 5.4 Comparison Tests -- 5.5 Alternating Series -- 5.6 Ratio and Root Tests -- Chapter 6: Power Series -- 6.1 Power Series and Functions -- 6.2 Properties of Power Series -- 6.3 Taylor and Maclaurin Series -- 6.4 Working with Taylor Series -- Chapter 7: Parametric Equations and Polar Coordinates -- 7.1 Parametric Equations -- 7.2 Calculus of Parametric Curves -- 7.3 Polar Coordinates -- 7.4 Area and Arc Length in Polar Coordinates -- 7.5 Conic Sections…”
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Nanoscale Photonic Imaging
Published 2020Table of Contents: “…Werner) -- Efficient, Quantitative Numerical Methods for Statistical Image Deconvolution and Denoising (D. …”
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Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018 Selected Papers from the ICOSAHOM Conference, London, UK, July 9-13, 2018 /
Published 2020Table of Contents: “…Stability of wall boundary condition procedures for discontinuous Galerkin spectral element approximations of the compressible Euler equations -- On the order reduction of entropy stable DGSEMfor the compressible Euler equations -- A review of regular decompositions of vector fields - continuous, discrete, and structure-preserving -- Model reduction by separation of variables: a comparison between hierarchical model reduction and proper generalized decomposition -- Recurrence relations for a family of orthogonal polynomials on a triangle -- Greedy kernel methods for center manifold approximation -- An improved error inhibiting block one-step method with radial basis function approximation for ODEs -- Hermite methods in time -- HPS accelerated spectral solvers for time dependent problems: algorithms -- On the use of hermite functions for the Vlasov-Poisson system -- HPS accelerated spectral solvers for time dependent problems: numerical experiments -- High-order finite element methods for interface problems: theory and implementations -- Stabilised hybrid discontinuous galerkin methods for the Stokes problem with non-standard boundary conditions -- RBF based CWENO method -- discrete equivalence of adjoint Neumann-Dirichlet div-grad and grad-div equations in curvilinear 3D domains -- A conservative hybrid method for Darcy flow -- High-order mesh generation based on optimal affine combinations of nodal positions -- Sparse spectral-element methods for the helically reduced Einstein equations -- Spectral analysis of isogeometric discretizations of 2D curl-div Problems with general geometry -- Performance of preconditioners for large-scale simulations using Nek5000 -- Two decades old entropy stable method for the Euler equations revisited -- A mimetic spectral element method for free surface flows -- Spectral/hp methodology study for iLES-SVV on an Ahmed body -- A high-order discontinuous Galerkin solver for multiphase flows -- High-Order propagation of jet noise on a tetrahedral mesh using large eddy simulation sources -- Dynamical degree adaptivity for DG-LES models -- A novel eight-order diffusive scheme for unstructured polyhedral grids using the weighted least-squares method -- An explicit mapped tent pitching scheme for Maxwell equations -- Viscous diffusion effects in the eigenanalysis of (hybridisable) DG methods -- Spectral Galerkin method for solving Helmholtz and Laplace Dirichlet problems on multiple open arcs -- Explicit polynomial Trefftz-DG method for space-time elasto-acoustics -- An hp-adaptive iterative linearization discontinuous-Galerkin FEM for quasilinear elliptic boundary value problems -- Erosion Wear evaluation using Nektar++ -- An inexact Petrov-Galerkin approximation for gas transport in pipeline networks -- New preconditioners for semi-linear PDE-constrained optimal control in annular geometries -- DIRK schemes with high weak stage order -- Scheme for evolutionary Navier-Stokes-Fourier system with temperature dependent material properties based on spectral/hp elements -- Implicit large eddy simulations for NACA0012 airfoils using compressible and incompressible discontinuous Galerkin solvers -- SAV method applied to fractional Allen-Cahn equation -- A first meshless approach to simulation of the elastic behaviour of the diaphragm -- An explicit hybridizable discontinuous Galerkin method for the 3D timedomain Maxwell equations -- Entropy conserving and kinetic energy preserving numerical methods for the Euler equations using summation-by-parts operators -- Multiwavelet troubled-cell indication: a comparison of utilizing theory versus outlier detection -- An anisotropic p-adaptation multigrid scheme for discontinuous Galerkin methods -- A spectral element reduced basis method for Navier-Stokes equations with geometric variations -- Iterative spectral mollification and conjugation for successive edge detection -- Small trees for high order Whitney elements -- Non-conforming elements inNek5000: pressure preconditioning and parallel performance -- Sparse approximation of multivariate functions from small datasets via weighted orthogonal matching pursuit -- On the convergence rate of Hermite-Fejer interpolation.…”
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