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Real-World Problems
Here I formulate and solve a few real-world problems. I emphasize the difference between the practical formulations and their academic counterparts....
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Derivative-free DIRECT-type Global Optimization Applications and Software
After providing an in-depth introduction to derivative-free global optimization with various constraints, this book presents new original results...
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MATLAB for Engineering and the Life Sciences
This book is a self-guided tour of MATLAB for engineers and life scientists. It introduces the most commonly used programming techniques through...
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Applied Numerical Analysis with MATLAB®/Simulink® For Engineers and Scientists
This textbook provides a compact but comprehensive treatment that guides students through applied numerical analysis, using MATLAB®/Simulink®. Ideal...
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Assessment of a Wall Distance Free Transition Model Based on the Laminar Kinetic Energy in a Discontinuous Galerkin Solver
Next generation solvers for Computational Fluid Dynamics (CFD) will be based on innovative numerical schemes and models. Where, the greater accuracy...
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A New Multiscale Discontinuous Galerkin Method for a Class of Second-Order Equations with Oscillatory Solutions in Two-Dimensional Space
We develop a new high-order multiscale discontinuous Galerkin (DG) method for a class of second-order equations with oscillatory solutions in...
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A Posteriori Error Estimate and Mesh Adaptation for the Numerical Solution of the Richards Equation
We solve the Richards equation, describing porous media flows, by the space-time discontinuous Galerkin method. We derive a posteriori error...
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Inexact IETI-DP for Conforming Isogeometric Multi-Patch Discretizations
In this paper, we investigate Dual-Primal Isogeometric Tearing and Interconnecting (IETI-DP) methods for conforming Galerkin discretizations on...
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Mathematische Grundlagen und Konvexität
In diesem vorbereitenden Kapitel werden Grundlagen über multivariate Funktionen, höherdimensionale Ableitungen und Konvexität eingeführt, die in...
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Lineare Optimierungsmodelle
Ein kontinuierliches lineares Optimierungsproblem (LP) lässt sich ähnlich schnell wie ein UQP lösen und bietet darüber hinaus weitere...
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Symbolic Calculations in MATLAB®
Symbolic Math Toolbox™ provides functions for solving, plotting, and manipulating symbolic math equations. In this chapter you will learn how to do...
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Solving Difference Equations in Simulink®
Differential equations deal with continuous system, while the difference equations are meant for discrete process. Generally, a difference equation...
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Optimization with MATLAB®
Mathematical optimization (alternatively, optimization or mathematical programming) is the selection of a best element (with regard to some criteria)...
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Essential of MATLAB®
MATLAB® (an abbreviation of MATrix LABoratory) is a programming platform designed specifically for engineers and scientists to analyze and design...
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Eigenspectral Analysis of Preconditioners in an Adaptive Compressible Flow Solver
An implicit-in-time discontinuous Galerkin (DG) solver has been developed for compressible flows, which adopts an adaptive time step** strategy...
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Using ℓ1-Regularization for Shock Capturing in Discontinuous Galerkin Methods
Shock capturing is an essential part of numerical hyperbolic conservation laws. Most of the existing shock capturing methods are based on...
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High-Order Discretisations and Efficient Direct Space-Time Finite Element Solvers for Parabolic Initial-Boundary Value Problems
We consider a space-time variational formulation of parabolic initial-boundary value problems in connection with a Hilbert-type transformation. This...
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High Order Solution to Exterior 3D Wave Equation by the Method of Difference Potentials
We solve the 3D acoustic wave equation with variable propagation speed in an unbounded domain with fourth order accuracy in time and space. The...