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In Depth Treatment of 1-D Adaptive Mesh Refinement Analytics and Implementation

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#numerical-methods #biology #data-structure
94
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How to solve this Cauchy problem

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#partial-differential-equations #numerical-methods #matlab #maple #linear-pde
166
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Continuous dependence on initial data

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#ordinary-differential-equations #analysis #numerical-methods
356
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How to interpret second order Runge-Kutta Method?

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#numerical-methods #algorithms #runge-kutta-methods
110
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Finite-difference of the derivative at an arbitrary location

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#numerical-methods #finite-differences
158
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Numerical solution of PDEs

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#partial-differential-equations #numerical-methods
16.4k
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What is the intuitive meaning of 'order of accuracy' and 'order of approximation' with respect to a numerical method?

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#numerical-methods
180
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Quasi Newton Methods Convergence

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#numerical-methods #convex-optimization
2.1k
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What algorithm do scientific calculators use to calculate Logarithms

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#numerical-methods #logarithms #applications #calculator
1.4k
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Variable in upper bound of sum

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#discrete-mathematics #summation #numerical-methods #fixed-point-theorems #upper-lower-bounds
292
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State of art numerical algorithm for all complex roots of high degree polynomial in $\mathbb Z[x]$

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#polynomials #numerical-methods #applications #math-software
149
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Understanding the need of regularity conditions for the Taylor expansion

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#analysis #numerical-methods #taylor-expansion
65
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Heuristic to integrate (or find all extrema of) a function

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#optimization #numerical-methods #nonlinear-optimization #computational-mathematics #numerical-optimization
50
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Existence of closed solution of a certain type of Poisson equations

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#numerical-methods #finite-element-method #poissons-equation
55
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Numerical Mathematics - Constraint or Unconstraint Optimization?

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#optimization #numerical-methods #nonlinear-optimization

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