DOIAbstract
AbstractA family of embedded Runge-Kutta formulae RK5 (4) are derived. From these are presented formulae which have (a) ‘small’ principal truncation terms in the fifth order and (b) extended regions of absolute stability
AbstractA family of embedded Runge-Kutta formulae RK5 (4) are derived. From these are presented formulae which have (a) ‘small’ principal truncation terms in the fifth order and (b) extended regions of absolute stability
AbstractTree theory, partitions of integer numbers, combinatorial mathematics and computer algebra a...
Runge-Kutta formulas of high order with stepsize control through leading truncation error ter
High algebraic order Runge–Kutta embedded methods are commonly used when stringent tolerances are de...
AbstractThe RK5(4) and RK6(5) embedded Runge—Kutta formulae are reconsidered with regard to enlargin...
AbstractThe RK5(4) and RK6(5) embedded Runge—Kutta formulae are reconsidered with regard to enlargin...
AbstractA new pair of embedded Runge-Kutta (RK) formulas of orders 5 and 6 is presented. It is deriv...
AbstractA family of embedded Runge-Kutta formulae RK5 (4) are derived. From these are presented form...
AbstractThe criteria to be satisfied by embedded Runge-Kutta pairs of formulae are reviewed. Two new...
Criteria to be satisfied by efficient embedded Runge-Kutta-Nystrom formulae are presented, and new f...
AbstractA technique is introduced for the derivation of continuously embedded Runge-Kutta formulas. ...
AbstractA new pair of embedded Runge-Kutta (RK) formulas of orders 5 and 6 is presented. It is deriv...
AbstractThe addition of a third Runge-Kutta (RK) formula to an embedded pair, forming an RK triple, ...
The general case of embedded (4, 5) pairs of explicit 7-stage Runge–Kutta methods with FSAL property...
AbstractThe equilibrium theory of Hall and Higham (1988) can be used to determine whether a Runge-Ku...
AbstractA technique is introduced for the derivation of continuously embedded Runge-Kutta formulas. ...
AbstractTree theory, partitions of integer numbers, combinatorial mathematics and computer algebra a...
Runge-Kutta formulas of high order with stepsize control through leading truncation error ter
High algebraic order Runge–Kutta embedded methods are commonly used when stringent tolerances are de...
AbstractThe RK5(4) and RK6(5) embedded Runge—Kutta formulae are reconsidered with regard to enlargin...
AbstractThe RK5(4) and RK6(5) embedded Runge—Kutta formulae are reconsidered with regard to enlargin...
AbstractA new pair of embedded Runge-Kutta (RK) formulas of orders 5 and 6 is presented. It is deriv...
AbstractA family of embedded Runge-Kutta formulae RK5 (4) are derived. From these are presented form...
AbstractThe criteria to be satisfied by embedded Runge-Kutta pairs of formulae are reviewed. Two new...
Criteria to be satisfied by efficient embedded Runge-Kutta-Nystrom formulae are presented, and new f...
AbstractA technique is introduced for the derivation of continuously embedded Runge-Kutta formulas. ...
AbstractA new pair of embedded Runge-Kutta (RK) formulas of orders 5 and 6 is presented. It is deriv...
AbstractThe addition of a third Runge-Kutta (RK) formula to an embedded pair, forming an RK triple, ...
The general case of embedded (4, 5) pairs of explicit 7-stage Runge–Kutta methods with FSAL property...
AbstractThe equilibrium theory of Hall and Higham (1988) can be used to determine whether a Runge-Ku...
AbstractA technique is introduced for the derivation of continuously embedded Runge-Kutta formulas. ...
AbstractTree theory, partitions of integer numbers, combinatorial mathematics and computer algebra a...
Runge-Kutta formulas of high order with stepsize control through leading truncation error ter
High algebraic order Runge–Kutta embedded methods are commonly used when stringent tolerances are de...
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