Block methods for second order odes
From MaRDI portal
Publication:3989766
DOI10.1080/00207169108804026zbMath0744.65045OpenAlexW2071305979WikidataQ126245618 ScholiaQ126245618MaRDI QIDQ3989766
Publication date: 28 June 1992
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207169108804026
consistencyparallel computationsecond-order initial value problemserror estimatorsinterval of periodicity\(P\)-stabilityzero- stabilityblock methods of orders 3/4
Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)
Related Items
Third derivative hybrid block integrator for solution of stiff systems of initial value problems, A new collocation formulation for the block Falkner-type methods with trigonometric coefficients for oscillatory second order ordinary differential equations, Functionally-fitted block methods for second order ordinary differential equations, An optimized two-step hybrid block method for solving general second order initial-value problems, Adapted block hybrid method for the numerical solution of Duffing equations and related problems, Block generalized Störmer-Cowell methods applied to second order nonlinear delay differential equations, On some multi-block reverse Adams methods for stiff problems, Second derivative of high-order accuracy methods for the numerical integration of stiff initial value problems, Block hybrid method using trigonometric basis for initial value problems with oscillating solutions, Derivation of diagonally implicit block backward differentiation formulas for solving stiff initial value problems, Seventh order hybrid block method for solution of first order stiff systems of initial value problems, Diagonally implicit multistep block method of order four for solving fuzzy differential equations using seikkala derivatives, Unnamed Item, Unnamed Item, Solving second order initial value problems by a hybrid multistep method without predictors, A functionally-fitted block hybrid Falkner method for Kepler equations and related problems, Block third derivative method based on trigonometric polynomials for periodic initial-value problems, Compact schemes in time with applications to partial differential equations, Trigonometrically fitted block Numerov type method for \(y = f(x, y, y')\), A trigonometrically fitted intra-step block Falkner method for the direct integration of second-order delay differential equations with oscillatory solutions, A digraph theoretic parallelism in block methods, An adaptive step-size optimized seventh-order hybrid block method for integrating differential systems efficiently, Unnamed Item, Direct two-point block one-step method for solving general second-order ordinary differential equations, Unnamed Item, Unnamed Item, Unnamed Item, Unnamed Item, A continuous two-step method of order 8 with a block extension for \(y= f(x,y,y')\), High order extended boundary value methods for the solution of stiff systems of ODEs, EFFICIENT PARALLEL METHODS FOR SPECIAL SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS, On the hybrid method with three off-step points for initial value problems, A tenth order \(\mathcal{A} \)-stable two-step hybrid block method for solving initial value problems of ODEs, How many \(k\)-step linear block methods exist and which of them is the most efficient and simplest one?, On a family of trigonometrically fitted extended backward differentiation formulas for stiff and oscillatory initial value problems, A unified approach for the development of \(k\)-step block Falkner-type methods for solving general second-order initial-value problems in ODEs, A class of hybrid methods for direct integration of fourth-order ordinary differential equations, A functionally-fitted block Numerov method for solving second-order initial-value problems with oscillatory solutions, A second-derivative functionally fitted method of maximal order for oscillatory initial value problems, Efficient adaptive step-size formulation of an optimized two-step hybrid block method for directly solving general second-order initial-value problems, A 4-point block method for solving higher order ordinary differential equations directly, A third-derivative two-step block Falkner-type method for solving general second-order boundary-value systems, Direct integration of the third-order two point and multipoint Robin type boundary value problems, High-order continuous third derivative formulas with block extensions fory″=f(x, y, y′), Boundary value technique for initial value problems based on Adams-type second derivative methods, A new integrator for special third order differential equations with application to thin film flow problem, Extended Continuous Block Backward Differentiation Formula for Stiff Systems, A self-starting linear multistep method for a direct solution of the general second-order initial value problem, The efficiency of second derivative multistep methods for the numerical integration of stiff systems, Second derivative multistep method for solving first-order ordinary differential equations, Solving second order two-point boundary value problems accurately by a third derivative hybrid block integrator, An efficient optimized adaptive step-size hybrid block method for integrating \(w^{\prime \prime} = F (t, w, w^\prime)\) directly, Third derivative modification of \(k\)-step block Falkner methods for the numerical solution of second order initial-value problems, An accurate block hybrid collocation method for third order ordinary differential equations, Solving delay differential equations by the five-point one-step block method using Neville's interpolation, A family of trigonometrically fitted Enright second derivative methods for stiff and oscillatory initial value problems, A new variable step size block backward differentiation formula for solving stiff initial value problems, A model for solving first, second and third order IVPs directly
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unconditionally stable methods for second order differential equations
- Recent Progress in Extrapolation Methods for Ordinary Differential Equations
- Parallel Solution of ODE’<scp>s</scp> by Multiblock Methods
- Predictor-Corrector Methods for Periodic Second-Order Initial-Value Problems
- Solution of Partial Differential Equations on Vector and Parallel Computers
- Symmetric Multistip Methods for Periodic Initial Value Problems
- Parallel Methods for the Numerical Solution of Ordinary Differential Equations
- On accuracy and unconditional stability of linear multistep methods for second order differential equations
- Parallel Solution of Ordinary Differential Equations
- Cyclic Composite Multistep Predictor-Corrector Methods
- A Runge-Kutta for all Seasons
- A-stable block implicit one-step methods