I am reading up on finite approximation recentlyenter link description here, can someone help me explain why the author expressed the interval h as a sinusoidal function in this paper? And how did that come about?
Or I just don't understand this way of writing, for example, why the symbols s and k are associated with the interval h. 
2026-03-25 23:34:41.1774481681
About the Errors in Finite Approximation
24 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in NUMERICAL-METHODS
- The Runge-Kutta method for a system of equations
- How to solve the exponential equation $e^{a+bx}+e^{c+dx}=1$?
- Is the calculated solution, if it exists, unique?
- Modified conjugate gradient method to minimise quadratic functional restricted to positive solutions
- Minimum of the 2-norm
- Is method of exhaustion the same as numerical integration?
- Prove that Newton's Method is invariant under invertible linear transformations
- Initial Value Problem into Euler and Runge-Kutta scheme
- What are the possible ways to write an equation in $x=\phi(x)$ form for Iteration method?
- Numerical solution for a two dimensional third order nonlinear differential equation
Related Questions in APPROXIMATION
- Does approximation usually exclude equality?
- Approximate spline equation with Wolfram Mathematica
- Solving Equation with Euler's Number
- Approximate derivative in midpoint rule error with notation of Big O
- An inequality involving $\int_0^{\frac{\pi}{2}}\sqrt{\sin x}\:dx $
- On the rate of convergence of the central limit theorem
- Is there any exponential function that can approximate $\frac{1}{x}$?
- Gamma distribution to normal approximation
- Product and Quotient Rule proof using linearisation
- Best approximation of a function out of a closed subset
Related Questions in FINITE-DIFFERENCES
- 4-point-like central finite difference for second partial derivatives
- Numerical method for fourth order PDE.
- Finite difference approximation of $u''(x)+u(x)=0, u(0)=1, u(\pi)=-1$
- Numerically compute Laplacian of a scalar field in a non-orthogonal grid
- write second order difference as a convolution operator
- Do the second differences of the fifth powers count the sphere packing of a polyhedron?
- Discretization for $\partial_tu = \partial_x[g\times\partial_xu]$
- Discretization of 4th order ODE
- Trying to use Matlab to find Numerical Solution to $u''(x)+e^{u(x)}=0, u(0)=0, u(1)=0$ - Newton's method
- Finite difference: problem on edge of Dirichlet and Neumann boundary
Related Questions in ERROR-FUNCTION
- Integral of error-like function
- Approximation of poly of degree 4 by degree 2
- To find the new weights of an error function by minimizing it
- About L2 error distribution and its STRANGE oscillatory behaviour
- Remainder in Asymptotic Expansion of Erfc
- How do I show this :$\int_{-\infty}^{+\infty} x^n 2\cosh( x)e^{-x^2}=0$ if it is true with $n$ odd positive integer?
- Intuitive meaning of attitude error function $\Psi$ defined over $SO(3)$. Is $\Psi$ a metric?
- What are the obtained consequences in mathematics if the antiderivative of $e^{-x²}$ and $e^{x²}$ expressed as elementary functions?
- The maximum area of a circle drawn between the graphs of $e^{-x²}$ and $-e^{-x²}$?
- Evaluation of $\int_{0}^\infty \frac{\sin(x)}{x}e^{- x²} dx$
Related Questions in HIGHER-ORDER-LOGIC
- Finite axiomatizability of theories in infinitary logic?
- How do we get the converse of extensionality in Gödel's 1931 system?
- 'Logically symmetric' expressions in lambda calculus
- Paradox vs Tautology.
- If Type Theories are all Logics.
- Understanding The First Axiom Of Gödel's Ontological Proof
- Atomic Formulas in Second Order Logic
- Is many sorted logic really a unifying logic?
- Is this kind of high order logic of individual predicates inconsistent?
- Weak second order Logic
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?