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Numerical Methods for Non-Stiff Differential Equations ab 67.99 € als Taschenbuch: Almost Runge-Kutta (ARK) Methods. Aus dem Bereich: Bücher, Wissenschaft, Mathematik,

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68,00 € *

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From the first time the author encountered General Linear Methods in general and Almost-Runge-Kutta methods in particular, and realized the enormous potentials and possibilities they provide, there has been a deep desire in the author, to draw the attention of researchers and mathematicians to these methods. As such, in this book the author has engaged in a detailed and comprehensive analysis of Almost Runge-Kutta (ARK) methods, derived new and effective methods especially for non-stiff differential equations. The book provides a comprehensive introduction to numerical methods for solving Ordinary Differential equations, it includes a detailed coverage of Runge-Kutta, linear multistep, and general linear methods,and thoroughly breaks down the derivation process of ARK methods. Extensive numerical experiments are carried out to see how the new ARK methods compare with some selected traditional methods and the results confirms the effectiveness and viability of ARK methods as a means by which Scientists, Mathematicians and Engineers can obtain accurate and reliable results for non-stiff differential equations.

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Anbieter: Orell Fuessli CH

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52,90 CHF *

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Generalisation of an inclusion theorem of L.COLLATZ.- On certain iterative methods for solving nonlinear difference equations.- Instability when solving Volterra integral equations of the second kind by multistep methods.- Numerical solution of boundary value problems in Chebyshev series ¿ A method of computation and error estimation.- The numerical stability in solution of differential equations.- On the effects of scaling of the peaceman-rachford method.- The effective order of Runge-Kutta methods.- Error bounds for some single step methods.- Approximation of nonlinear operators.- On the numerical treatment of hyperbolic differential equations with constant coefficients, particularly the n-dimensional wave equation.- Monotonic difference schemes for weakly coupled systems of parabolic differential equations.- The numerical solution of evolutionary partial differential equations.- A method for the numerical integration of non-linear ordinary differential equations with greatly different time constants.- Numerical solution of two differential-difference equations of analytic theory of numbers.- Global accuracy and A-stability of one- and two-step integration formulae for stiff ordinary differential equations.- Optimal order multistep methods with an arbitrary number of nonsteppoints.- Alternating direction methods for parabolic equations in two and three space dimensions with mixed derivatives.- On the convergence rates of variational methods.- An A-stable modification of the Adams-Bashforth methods.- Stability, consistency and convergence of variable K-step methods for numerical integration of large systems of ordinary differential equations.- Local-error estimates for variable-step Runge-Kutta methods.- Time-dependent techniques for the solution of viscous, heat conducting, chemically reacting, radiating discontinuous flows.- Attempts to optimize the structure of an ode program.- Round-off error in the numerical solution of second order differential equations.- Stability properties of the extrapolation method.- Implicit methods for implicit differential equations.- Solution of elliptic eigenvalue problems by calculating ? 'Separable' solutions of a dynamic problem.

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69,90 CHF *

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An overview of the techniques in use for solving the coupled equations of scattering theory.- Weyl's theory for second order differential equations and its application to some problems in quantum chemistry.- The discretization of continuous infinite sets of coupled ordinary linear differential equations: Application to the collision-induced dissociation of a diatomic molecule by an atom.- Extraction of continuum properties from L2 basis set matrix representations of the schr¿dinger equation: the sturm sequence polynomials and gauss quadrature.- Approximate solution of schr¿dinger's equation for atoms.- Numerical integration of linear inhomogeneous ordinary differential equations appearing in the nonadiabatic theory of small molecules.- Computation of solenoidal (divergence-free) vector fields.- Efficient solution of a nonlinear heat conduction problem by use of fast elliptic reduction and multigrid methods.- Are the numerical methods and software satisfactory for chemical kinetics?.- Optimization of nonlinear kinetic equation computation.- Automatic detection and treatment of oscillatory and/or stiff ordinary differential equations.- Characterization of non-linearly stable implicit Runge-Kutta methods.- Compact deferred correction formulas.- Solving odes in quasi steady state.- A singular perturbations approach to reduced-order modeling and decoupling for large scale linear systems.- Global codes for BVODEs and their comparison.- Global error estimation in ordinary initial value problems.- Lower bounds for the accuracy of linear multistep methods.- Asymptotic error expansions and discrete newton methods for elliptic boundary value problems.- The use of sparse matrix techniques in ode ¿ Codes.- On conjugate gradient methods for large sparse systems of linear equations.- A preconditioned tchebycheff iterative solution method for certain large sparse linear systems with a non-symmetric matrix.- On modified incomplete factorization methods.- Solving large sparse linear systems arising in queuing problems.- Large eigenvalue problems in quantum chemistry.- Variational pseudo-gradient method for determination of m first eigenstates of a large real symmetric matrix.- Simultaneous rayleigh-quotient iteration methods for large sparse generalized eigenvalue problems.- Large sparse unsymmetric eigenvalue problems.

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46,99 € *

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Anbieter: Thalia AT

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36,99 € *

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Anbieter: Thalia AT

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59,99 € *

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Anbieter: Thalia AT

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