Numerische Methoden der Physik

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8 Numerical integration, Eigenvalues and eigenvectors

  • Untertitel   8.1 Numerical integration in 1 dimension, 8.2 Numerical integration in D≥2 dimensions, 8.2.1 Nested 1-dimensional integration
  • Sprecher   Jun. Prof. Dr. Marc Wagner
  • Ort   Phys 02.116
  • Datum   08.06.2018 @ 14:08

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7.7 Conjugate gradient method (an iterative method), 8 Numerical integration

  • Untertitel   7.7.1 Symmetric positive definite A, 7.7.2 Generalizations, 7.7.3 Condition number, preconditioning, 8.1 Numerical integration in 1 dimension
  • Sprecher   Jun. Prof. Dr. Marc Wagner
  • Ort   Phys 02.116
  • Datum   01.06.2018 @ 14:08

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7.4 LU decomposition (a direct method), 7.6 Iterative refinement of the solution of Ax = b (for direct methods), 7.7 Conjugate gradient method (an iterative method),

  • Untertitel   7.4.1 Crout's algorithm, 7.4.2 Computation of the solution of Ax = b, 7.4.3 Computation of det(A), 7.7.1 Symmetric positive definite A
  • Sprecher   Jun. Prof. Dr. Marc Wagner
  • Ort   Phys 02.116
  • Datum   25.05.2018 @ 14:09

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Solving systems of linear equations

  • Untertitel   6.2.3 Example: QM, 3 dimensions, spherically symmetric potential, 6.3 Relaxation methods, 7.2 Gauss-Jordan elimination (a direct method), 7.2.1 Pivoting
  • Sprecher   Jun. Prof. Dr. Marc Wagner
  • Ort   Phys 02.116
  • Datum   18.05.2018 @ 14:06

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Ordinary Differential Equations: Boundary Value Problems

  • Untertitel   Examples: QM, 1D; QM, 1D, H0; Parity; Commutator
  • Sprecher   Jun. Prof. Dr. Marc Wagner
  • Ort   Phys 02.116
  • Datum   11.05.2018 @ 14:05

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Root finding, solving systems of non-linear equations; Ordinary differential equations, boundary value problems

  • Untertitel   Physics motivation, Bisection (only for N=1), Secant method (only for N=1), Newton-Raphson method (for N=1), Newton-Raphson method (for N>1), Physics motivation, Shooting method, Examples
  • Sprecher   Jun. Prof. Dr. Marc Wagner
  • Ort   Phys 02.116
  • Datum   04.05.2018 @ 14:09

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Dimensionful quantities on a computer,

  • Untertitel   Estimation of errors, Adaptive step size, Local extrapolation, Examples, Generel Information, Method 1: define units for your computation, Method 2: use exclusively dimensionless quantities
  • Sprecher   Jun. Prof. Dr. Marc Wagner
  • Ort   Phys 02.201b
  • Datum   27.04.2018 @ 14:15

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Ordinary differential equations, initial value problems

  • Untertitel   Physics motivations, Euler's method, Runge-Kutta method
  • Sprecher   Jun. Prof. Dr. Marc Wagner
  • Ort   Phys. 02.201b
  • Datum   20.04.2018 @ 14:44
  • Beschreibung   Teil 2

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Representation of numbers, Rondoff errors

  • Untertitel   Generel Information, Another example: numerical derivative via finite difference, Comman choices for f`(x),
  • Sprecher   Jun. Prof. Dr. Marc Wagner
  • Ort   Phys 02.201b
  • Datum   20.04.2018 @ 14:02
  • Beschreibung   Teil 1: Aufgrund von Platzmangel wurde der Raum gewechselt. Deshalb gibt es diesmal 2 Teile und eine kleine Unterbrechung.

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Representation of numbers in computers, roundoff errors

  • Untertitel   Generel information/ Tutorials, Introduction, Real numbers, floating point numbers, Roundoff errors
  • Sprecher   Jun. Prof. Dr. Marc Wagner
  • Ort   Phys 02.201b
  • Datum   13.04.2018 @ 14:17