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  2. Bogacki–Shampine method - Wikipedia

    en.wikipedia.org/wiki/Bogacki–Shampine_method

    The Bogacki–Shampine method is implemented in the ode3 for fixed step solver and ode23 for a variable step solver function in MATLAB (Shampine & Reichelt 1997). Low-order methods are more suitable than higher-order methods like the Dormand–Prince method of order five, if only a crude approximation to the solution is required.

  3. McCabe–Thiele method - Wikipedia

    en.wikipedia.org/wiki/McCabe–Thiele_method

    The rectifying section operating line for the section above the inlet feed stream of the distillation column (shown in green in Figure 1) starts at the intersection of the distillate composition line and the x = y line and continues at a downward slope of L / (D + L), where L is the molar flow rate of reflux and D is the molar flow rate of the ...

  4. Glass batch calculation - Wikipedia

    en.wikipedia.org/wiki/Glass_batch_calculation

    Molar mass of glass component, g/mol Batch component Formula of batch component Molar mass of batch component, g/mol SiO 2: 67 60.0843 Sand SiO 2: 60.0843 Na 2 O 12 61.9789 Trona: Na 3 H(CO 3) 2 *2H 2 O 226.0262 CaO 10 56.0774 Lime CaCO 3: 100.0872 Al 2 O 3: 5 101.9613 Albite: Na 2 O*Al 2 O 3 *6SiO 2: 524.4460 K 2 O 1 94.1960 Orthoclase: K 2 O ...

  5. Molecular replacement - Wikipedia

    en.wikipedia.org/wiki/Molecular_replacement

    Molecular replacement (MR) [1] is a method of solving the phase problem in X-ray crystallography.MR relies upon the existence of a previously solved protein structure which is similar to our unknown structure from which the diffraction data is derived.

  6. Linear multistep method - Wikipedia

    en.wikipedia.org/wiki/Linear_multistep_method

    The first Dahlquist barrier states that a zero-stable and linear q-step multistep method cannot attain an order of convergence greater than q + 1 if q is odd and greater than q + 2 if q is even. If the method is also explicit, then it cannot attain an order greater than q ( Hairer, Nørsett & Wanner 1993 , Thm III.3.5).

  7. Group-contribution method - Wikipedia

    en.wikipedia.org/wiki/Group-contribution_method

    The simplest form of a group-contribution method is the determination of a component property by summing up the group contributions : [] = +.This simple form assumes that the property (normal boiling point in the example) is strictly linearly dependent on the number of groups, and additionally no interaction between groups and molecules are assumed.

  8. Exponential response formula - Wikipedia

    en.wikipedia.org/wiki/Exponential_response_formula

    The solution of the complex differential equation can be found as (), from which the real part is the solution of the original equation. Complex replacement is used for solving differential equations when the non-homogeneous term is expressed in terms of a sinusoidal function or an exponential function, which can be converted into a complex ...

  9. Single displacement reaction - Wikipedia

    en.wikipedia.org/wiki/Single_displacement_reaction

    A single-displacement reaction, also known as single replacement reaction or exchange reaction, is an archaic concept in chemistry. It describes the stoichiometry of some chemical reactions in which one element or ligand is replaced by an atom or group. [1] [2] [3] It can be represented generically as: