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Are there algorithms for solving a sequence of sparse linear systems of the form $(x_iI+B)y_i = b$?

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#numerical-methods #numerical-linear-algebra
43
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Need to solve a ODE using any approximation technique. But, this eqution tends to infinty.

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#ordinary-differential-equations #numerical-methods #finite-differences
209
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why the name "relaxation" in the SOR Gauss-Seidel iterative method?

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#numerical-methods #numerical-linear-algebra
408
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Quadratic first integrals

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#ordinary-differential-equations #numerical-methods #mathematical-physics #symplectic-linear-algebra
2.3k
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Underflow while evaluating softmax, despite using exp-normalize

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#statistics #numerical-methods #computer-science #numerical-linear-algebra #machine-learning
2.8k
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Proving error bound for Simpson's rule

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#calculus #integration #numerical-methods #approximation #computational-mathematics
64
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Why do we not need information of the eigenvalues of $A$ for the CG method, but we do need it for the Chebyshev method?

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#linear-algebra #numerical-methods #eigenvalues-eigenvectors #algorithms #computational-mathematics
282
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Gaussian quadrature: Orthogonal polynomial for chi distribution

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#integration #numerical-methods #orthogonal-polynomials #quadrature
104
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Calculating the jacobian matrix for a time-dependent system

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#numerical-methods #jacobian
765
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A straight line is fit to a data set (ln x, y). This line intercepts the abscissa at ln x = 0.1 and with slope of −0.02. Find the value of y at x = 5?

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#numerical-methods #analytic-geometry
446
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Finding the absolute stability

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#ordinary-differential-equations #numerical-methods #stability-in-odes #stability-theory
74
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4 equations with 4 unknowns

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#analysis #numerical-methods
66
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Prove $ | u(x) - u_h(x) | \leq h \ \underset{0 \leq y \leq 1}{\max} |u''(y)| $

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#numerical-methods #interpolation #lagrange-interpolation #interpolation-theory
56
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Calculate derivative of integral numerically?

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#calculus #integration #multivariable-calculus #derivatives #numerical-methods
2.4k
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Least Squares : Approximation of cubic polynomial

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#polynomials #numerical-methods #approximation #least-squares

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